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Advances in Physics Theories and Applications                                                        www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol 7, 2012




QUANTUM GRAVITY- THE EL DORADO – NAY A
          NE PLUS ULTRA --THE FINAL FINALE
                1
                 DR K N PRASANNA KUMAR, 2PROF B S KIRANAGI AND 3 PROF C S BAGEWADI




 ABSTRACT: Motivation for quantizing gravity comes from the remarkable success of the quantum
theories of the other three fundamental interactions, and from experimental evidence suggesting that
gravity can be made to show quantum effects Although some quantum gravity theories such as string
theory and other unified field theories (or 'theories of everything') attempt to unify gravity with the
other fundamental forces, others such as loop quantum gravity make no such attempt; they simply
quantize the gravitational field while keeping it separate from the other forces. Observed physical
phenomena can be described well by quantum mechanics or general relativity, without needing both.
This can be thought of as due to an extreme separation of mass scales at which they are important.
Quantum effects are usually important only for the "very small", that is, for objects no larger than
typical molecules. General relativistic effects, on the other hand, show up mainly for the "very large"
bodies such as collapsed stars. (Planets' gravitational fields, as of 2011, are well-described
by linearised except for Mercury's perihelion precession; so strong-field effects—any effects of gravity
beyond lowest nonvanishing order in φ/c2—have not been observed even in the gravitational fields
of planets and main sequence stars). There is a lack of experimental evidence relating to quantum
gravity, and classical physics adequately describes the observed effects of gravity over a range of
50 orders of magnitude of mass, i.e., for masses of objects from about 10−23 to 1030 kg.We present a
complete Model which probably explains the positivities and discrepancies and inadequacies of each
model. Physics is certainly moving in to the subterranean realm and ceratoid dualism of consciousness
and subject object duality(Freud vouchsafed only at the mother’s breast shall the subject and object
shall be one),like a maverick trying to transcend the boundaries of space time, standing on the threshold
of infinity trying to ponder what lies beyond the veil which separates the scene from unseen?




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ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol 7, 2012




INTRODUCTION:

The following figurative representation is explains in best possible words the model that is proposed. A
consummate model encompassing all the theories is presented. The theories are there to be applied to
various physical systems which have different parametric representationalitiesof. Concept of “Theory”is
explained in previous examples. And the bank’s example of conservativeness of individual debits and
credits and the holistic conservativeness of assets and Liability is pronouncedly predominant in this case
also. We shall not repeat in the following the same argument. One more factor that is to be remarked is
that there are possibilities of concatenation of same theory with different theories. That the name
appeared twice in the Model should not foreclose its option for its relationship with others.




                       CLASSICAL MECHANICS AND NEWTONIAN GRAVITY:

                                          MODULE NUMBERED ONE

NOTATION :

    : CATEGORY ONE OF CLASSICAL MECHANICS

    : CATEGORY TWO OF CLASICAL MECHANICS

    : CATEGORY THREE OF CLASSICAL MECHANICS

    : CATEGORY ONE OF NEWTONIAN GRAVITY



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ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol 7, 2012



    : CATEGORY TWO OFNEWTONIAN GRAVITY

  :CATEGORY THREE OFNEWTONIAN GRAVITY(WE ARE TALKING OF SYSTEMS;LAW IS
THERE BUT IS APPLICABLE TO VARIOUS SYSTEMS) INVARIANT SU(3),THE PHYSICAL
PARAMETER STATES



                   QUANTUM MECHANICS AND QUANTUM FIELD THEORY:

                                       MODULE NUMBERED TWO:

==========================================================================
                                    ===

    : CATEGORY ONE OF QUANTUM MECHANICS

    : CATEGORY TWO OF QUANTUM MECHANICS

    : CATEGORY THREE OF QUANTUM MECHANICS

    :CATEGORY ONE OF QUANTUM FIELD THEORY

    : CATEGORY TWO OF QUANTUM FIELD THEORY

    : CATEGORY THREE OF QUANTUM FIELD THEORY

           ELECTROMAGNETISM AND STR(SPECIAL THEORY OF RELATIVITY):

                                      MODULE NUMBERED THREE:

==========================================================================
===

    : CATEGORY ONE OF ELECTROMAGNETISM

    :CATEGORY TWO OF ELECTROMAGNETIC THEORY

    : CATEGORY THREE OF ELECTROMAGNETIC THEORY

    : CATEGORY ONE OF STR

    :CATEGORY TWO OF STR

    : CATEGORY THREE OF STR




   GTR(GENERAL THEORY OF RELATIVITY )ANDQFT(QUANTUM FIELD THEORY)IN
   CURVED SPACE TIME(BASED ON CERTAIN VARAIBLES OF THE SYSTEM WHICH
             CONSEQUENTIALLY CLSSIFIABLE ON PARAMETERS)

                                     : MODULE NUMBERED FOUR:

==========================================================================
==




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Vol 7, 2012




    : CATEGORY ONE OFGTREVALUATIVE PARAMETRICIZATION OF SITUATIONAL
ORIENTATIONS AND ESSENTIAL COGNITIVE ORIENTATION AND CHOICE VARIABLES OF
THE SYSTEM TO WHICH QFT IS APPLICABLE)

    : CATEGORY TWO OF GTR

    : CATEGORY THREE OF GTR

    :CATEGORY ONE OF QFT IN CURVED SPACE TIME

    :CATEGORY TWO OF QFT(SYSTEMIC INSTRUMENTAL CHARACTERISATIONS AND ACTION
ORIENTATIONS AND FUYNCTIONAL IMPERATIVES OF CHANGE MANIFESTED THEREIN )

    : CATEGORY THREE OF QUANTUM FIELD THEORY

 GTR(GENERAL THEORY OF RELATIVITY(THERE ARE MANY OBSERVES AND GTR IS
 APPLICABLE TO BILLION SYSTEMS NOTWITHSTANDING THE GENERALISATIONAL
             NATURE OF THE THEORY) AND QUANTUM GRAVITY

                                       MODULE NUMBERED FIVE:

==========================================================================
===

    : CATEGORY ONE OF GTR

    : CATEGORY TWO OF QUANTUM GRAVITY

   :CATEGORY THREE OFQUANTUM GRAVITY(THE FINAL THEORY MUST POSSESS THE
SAME CHARACTERSTICS OF ITS CONSTITUENTS-IT CANNOT SIT IN IVORY TOWER
WITHOUT APPLICABILITY TO VARIOUS SYSTEMS)

    :CATEGORY ONE OF QUANTUM GRAVITY

    :CATEGORY TWO OFQUANTUM GRAVITY

    :CATEGORY THREE OF QUANTUM GRAVITY

=========================================================================

                   QFT IN CURVED SPACE TIME AND QUANTUM GRAVITY:

                                        MODULE NUMBERED SIX:




==========================================================================
===

    : CATEGORY ONE OF QFT IN CURVED SPACE AND TIME

    : CATEGORY TWO OF QFT IN SPACE AND TIME




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ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol 7, 2012



    : CATEGORY THREE OFQFT IN CURVED SPACE AND TIME

    : CATEGORY ONE OF QUANTUN GRAVITY

    : CATEGORY TWO OF QUANTUM GRAVITY

    : CATEGORY THREE OF QUANTUM GRAVITY

                                      GTR AND QFT IN CURVED SPACE TIME

                                                MODULE NUMBERED SEVEN

==========================================================================

    : CATEGORY ONE OF GTR

    : CATEGORY TWO OF GTR

    : CATEGORY THREE OF GTR

    : CATEGORY ONE OF QFT IN CURVED SPACE TIME

    : CATEGORY TWO OF

    : CATEGORY THREE OF QFT IN CURVED SPACEAND TIME

==========================================================================
=====



(   )(   )
             (    )( ) (   )( ) (         )( ) (     )( ) (    )( ) ( )( ) ( )( ) ( )( )
(   )(   )
             (    )( ) (   )( ) : (       )( ) (     )( ) (    )( ) ( )( ) ( )( ) ( )( )
(   )(   )
             (    )( ) (    )( ) (        )( ) (     )( ) (    )( ) ( )( ) ( )( ) ( )( ) ,
(   )(   )
             (    )( ) (   )( ) (         )( ) (     )( ) (     )( ) ( )( ) ( )( ) ( )( )

are Accentuation coefficients

(   )(   )
             (    )( ) (   )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( )
(   )(   )
             (    )( ) (   )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( )
(   )(   )
             (    )( ) (    )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( )
(   )(   )
             (    )( ) (   )( ) , ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( )

are Dissipation coefficients

                           CLASSICAL MECHANICS AND NEWTONIAN GRAVITY:                                 1

                                                MODULE NUMBERED ONE



The differential system of this model is now (Module Numbered one)

         (       )(   )
                           [(    )(   )
                                            (      )( ) (     )]                                      2




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Vol 7, 2012



        (      )(   )
                                [(      )(       )
                                                     (     )( ) (        )]                  3

        (      )(   )
                                [(      )(       )
                                                     (     )( ) (        )]                  4

       (       )(   )
                               [(      )(    )
                                                     (    )( ) (    )]                       5

       (       )(   )
                               [(      )(    )
                                                     (    )( ) (    )]                       6

       (       )(   )
                               [(      )(    )
                                                     (    )( ) (    )]                       7

  (   )( ) (            )      First augmentation factor                                     8

  (   )( ) (        )         First detritions factor

                            QUANTUM MECHANICS AND QUANTUM FIELD THEORY:                      9

                                                         MODULE NUMBERED TWO:



The differential system of this model is now ( Module numbered two)

        (      )(   )
                                [(      )(       )
                                                     (     )( ) (        )]                 10

        (      )(   )
                                [(      )(       )
                                                     (     )( ) (        )]                 11

        (      )(   )
                                [(      )(       )
                                                     (     )( ) (        )]                 12

       (       )(   )
                               [(      )(    )
                                                     (    )( ) ((    ) )]                   13

       (       )(   )
                               [(      )(    )
                                                     (    )( ) ((    ) )]                   14

       (       )(   )
                               [(      )(    )
                                                     (    )( ) ((    ) )]                   15

  (   )( ) (            )      First augmentation factor                                    16

  (   )( ) ((           ) )          First detritions factor                                17

            ELECTROMAGNETISM AND STR(SPECIAL THEORY OF RELATIVITY):                         18

                                                         MODULE NUMBERED THREE:



The differential system of this model is now (Module numbered three)

        (      )(   )
                                [(      )(       )
                                                     (     )( ) (        )]                 19

        (      )(   )
                                [(      )(       )
                                                     (     )( ) (        )]                 20

        (      )(   )
                                [(      )(       )
                                                     (     )( ) (        )]                 21

       (       )(   )
                               [(      )(    )
                                                     (    )( ) (         )]                 22



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ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol 7, 2012



       (        )(   )
                               [(     )(    )
                                                    (     )( ) (    )]                    23

       (        )(   )
                               [(     )(    )
                                                    (     )( ) (    )]                    24

  (    )( ) (            )     First augmentation factor

  (   )( ) (             )     First detritions factor                                    25

   GTR(GENERAL THEORY OF RELATIVITY )ANDQFT(QUANTUM FIELD THEORY)IN                       26
   CURVED SPACE TIME(BASED ON CERTAIN VARAIBLES OF THE SYSTEM WHICH
             CONSEQUENTIALLY CLSSIFIABLE ON PARAMETERS)

                                                        : MODULE NUMBERED FOUR)

The differential system of this model is now (Module numbered Four)

        (       )(   )
                               [(      )(       )
                                                    (      )( ) (    )]                   27


        (       )(   )
                               [(      )(       )
                                                    (      )( ) (    )]                   28


        (       )(   )
                               [(      )(       )
                                                    (      )( ) (    )]                   29


       (        )(   )
                               [(     )(    )
                                                    (     )( ) ((   ) )]                  30


       (        )(   )
                               [(     )(    )
                                                    (     )( ) ((   ) )]                  31


       (        )(   )
                               [(     )(    )
                                                    (     )( ) ((   ) )]                  32

  (    )( ) (            )     First augmentation factor                                  33

  (   )( ) ((            ) )        First detritions factor                               34

 GTR(GENERAL THEORY OF RELATIVITY(THERE ARE MANY OBSERVES AND GTR IS                      35
 APPLICABLE TO BILLION SYSTEMS NOTWITHSTANDING THE GENERALISATIONAL
             NATURE OF THE THEORY) AND QUANTUM GRAVITY

                                                         MODULE NUMBERED FIVE



The differential system of this model is now (Module number five)

        (       )(   )
                               [(      )(       )
                                                    (      )( ) (    )]                   36


        (       )(   )
                               [(      )(   )
                                                    (     )( ) (     )]                   37


        (       )(   )
                               [(      )(       )
                                                    (      )( ) (    )]                   38


       (        )(   )
                               [(     )(    )
                                                    (     )( ) ((   ) )]                  39




                                                                           145
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Vol 7, 2012



       (        )(   )
                               [(     )(    )
                                                    (    )( ) ((   ) )]                  40


       (        )(   )
                               [(     )(    )
                                                    (    )( ) ((   ) )]                  41

  (    )( ) (            )     First augmentation factor                                 42

  (   )( ) ((            ) )        First detritions factor                              43

                                                                                         44

                             QFT IN CURVED SPACE TIME AND QUANTUM GRAVITY:               45

                                                         MODULE NUMBERED SIX:




The differential system of this model is now (Module numbered Six)

        (       )(   )
                               [(      )(       )
                                                    (     )( ) (    )]                   46


        (       )(   )
                               [(      )(       )
                                                    (     )( ) (    )]                   47


        (       )(   )
                               [(      )(       )
                                                    (     )( ) (    )]                   48


       (        )(   )
                               [(     )(    )
                                                    (    )( ) ((   ) )]                  49


       (        )(   )
                               [(     )(    )
                                                    (    )( ) ((   ) )]                  50


       (        )(   )
                               [(     )(    )
                                                    (    )( ) ((   ) )]                  51


  (    )( ) (            )     First augmentation factor                                 52

                                           GTR AND QFT IN CURVED SPACE TIME              53

                                                        MODULE NUMBERED SEVEN:

The differential system of this model is now (SEVENTH MODULE)

        (       )(   )
                               [(      )(       )
                                                    (     )( ) (    )]                   54


        (       )(   )
                               [(      )(       )
                                                    (     )( ) (    )]                   55


        (       )(   )
                               [(      )(       )
                                                    (     )( ) (    )]                   56


       (        )(   )
                               [(     )(    )
                                                    (    )( ) ((   ) )]                  57


       (        )(   )
                               [(     )(    )
                                                    (    )( ) ((   ) )]                  58



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                                                                                                                                                                                                                                                                        59

          (            )(          )
                                                     [(               )(       )
                                                                                            (             )( ) ((                             ) )]                                                                                                                      60

  (       )( ) (                           )         First augmentation factor                                                                                                                                                                                          61

  (       )( ) ((                      ) )                       First detritions factor                                                                                                                                                                                62

FIRST MODULE CONCATENATION:
                                                                  (                )(       )
                                                                                                    (                 )( ) (                     )                  (       )(            )
                                                                                                                                                                                              (           )       (        )(       )
                                                                                                                                                                                                                                        (           )
               (           )(          )
                                                                       (                )(                        )
                                                                                                                      (                )            (               )(             )
                                                                                                                                                                                       (              )       (       )(                )
                                                                                                                                                                                                                                            (           )

                                                             [                                                                                              (             )( ) (                  )                                                         ]

                                                                  (                )(       )
                                                                                                    (                 )( ) (                     )                  (       )(            )
                                                                                                                                                                                              (           )       (        )(       )
                                                                                                                                                                                                                                        (           )
                                   ( )
               (           )                                           (                )(                        )
                                                                                                                      (                )            (               )(             )
                                                                                                                                                                                       (              )       (       )(                )
                                                                                                                                                                                                                                            (           )

                                                             [                                                                                                  (         )( ) (                  )                                                         ]

                                                                  (                )(       )
                                                                                                    (                 )( ) (                     )                  (       )(            )
                                                                                                                                                                                              (           )       (        )(       )
                                                                                                                                                                                                                                        (           )

               (           )(          )                               (                )(                        )
                                                                                                                      (                )            (               )(             )
                                                                                                                                                                                       (              )       (       )(                )
                                                                                                                                                                                                                                            (           )
                                                                                                                                                            (             )( ) (                  )
                                                             [                                                                                                                                                                                              ]

 Where (           )( ) (                        )       (        )( ) (                        )     (               )( ) (                  ) are first augmentation coefficients for category 1, 2 and 3

      (    )(      )
                       (                   ) ,       (           )(        )
                                                                               (                ) ,           (               )(      )
                                                                                                                                          (         ) are second augmentation coefficient for category 1, 2 and 3

      (    )(      )
                       (                   )         (           )(        )
                                                                               (                )             (               )(      )
                                                                                                                                          (         ) are third augmentation coefficient for category 1, 2 and 3

   ( )(                    )
                               (               ) ,           (         )(                   )
                                                                                                (             ) ,                 (        )(               )
                                                                                                                                                                (          ) are fourth augmentation coefficient for category 1, 2
 and 3

      (   )(               )
                               (               )         (        )(                )
                                                                                        (                 )               (           )(            )
                                                                                                                                                        (                ) are fifth augmentation coefficient for category 1, 2 and
 3

      (   )(               )
                               (               ),        (            )(                )
                                                                                            (             ) ,                 (       )(                )
                                                                                                                                                            (            ) are sixth augmentation coefficient for category 1, 2 and
 3


  ( )( ) (   )                                           (             )( ) (                         )                   (           )( ) (                        ) ARESEVENTHAUGMENTATION
 COEFFICIENTS

                                                                      (             )(          )
                                                                                                      (                   )( ) (                )                   (       )( ) (                    ) –(            )(        )
                                                                                                                                                                                                                                    (           )

               (           )(          )                              (             )(                        )
                                                                                                                  (                   )          (                  )(            )
                                                                                                                                                                                      (               ) –(            )(                )
                                                                                                                                                                                                                                            (       )

                                                         [                                                                                                  (            )( ) (                   )                                                         ]




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ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol 7, 2012




                                                                             (                   )(       )
                                                                                                                  (               )( ) (                        )                   (             )(           )
                                                                                                                                                                                                                   (               ) –(          )(       )
                                                                                                                                                                                                                                                              (                       )

                   (                )(      )                                     (               )(                      )
                                                                                                                              (                        ) –(                             )(                 )
                                                                                                                                                                                                               (               ) –(             )(                    )
                                                                                                                                                                                                                                                                          (               )

                                                                     [                                                                                                          (               )( ) (                     )                                                                  ]

                                                                             (                   )(       )
                                                                                                                  (               )( ) (                         )                      (         )(           )
                                                                                                                                                                                                                   (               ) –(          )(           )
                                                                                                                                                                                                                                                                  (                   )
                   (                )(      )
                                                                             –(                   )(                      )
                                                                                                                              (                        ) –(                             )(                 )
                                                                                                                                                                                                               (               ) –(             )(                    )
                                                                                                                                                                                                                                                                          (               )

                                                                     [                                                                                                          (               )( ) (                     )                                                                  ]

 Where              (           )( ) (               )                   (            )( ) (                  )           (            )( ) (                   ) are first detritions coefficients for category 1, 2 and 3

      (    )(           )
                            (                )               (           )(           )
                                                                                          (                   )           (           )(           )
                                                                                                                                                       (                ) are second detritions coefficients for category 1, 2 and 3

      (    )(           )
                            (                )               (            )(             )
                                                                                             (                )           (            )(              )
                                                                                                                                                           (                ) are third detritions coefficients for category 1, 2 and 3

      (    )(                   )
                                    (                )               (            )(                  )
                                                                                                          (               )                (               )(               )
                                                                                                                                                                                (                ) are fourth detritions coefficients for category 1, 2 and
 3

      (    )(                   )
                                    (                ) ,             (            )(                      )
                                                                                                              (           ) ,              (               )(                   )
                                                                                                                                                                                    (             ) are fifth detritions coefficients for category 1, 2 and 3

      (    )(                   )
                                    (                ) ,             (            )(                      )
                                                                                                              (           ) ,              (               )(                   )
                                                                                                                                                                                    (             ) are sixth detritions coefficients for category 1, 2 and 3


     (         )( ) (                            )               (                )( ) (                              )                (                   )( ) (                               ) ARE                               SEVENTH                                               DETRITION
COEFFICIENTS



                                                                                                                                                                                                                                                                                                                  63
                                                                             (               )(       )
                                                                                                                  (           )( ) (                            )                   (            )(        )
                                                                                                                                                                                                               (               ) –(             )(        )
                                                                                                                                                                                                                                                              (                   )
               (            )(          )
                                                             [                                                                                                                                                                                                                                ]
                                                                             (                   )(                   )
                                                                                                                          (                        )                (               )(                 )
                                                                                                                                                                                                           (                   )        (       )(                )
                                                                                                                                                                                                                                                                      (                   )

Where           (           )( ) (               )               (               )( ) (                   )           (           )( ) (                       ) are first detrition coefficients for category 1, 2 and 3                                                                                         64

  (       )(        )
                        (                )            (              )(          )
                                                                                     (                )               (           )(           )
                                                                                                                                                   (                ) are second detritions coefficients for category 1, 2 and 3

  (       )(        )
                        (                )               (           )(           )
                                                                                      (                   )           (           )(           )
                                                                                                                                                   (                 ) are third detritions coefficients for category 1, 2 and 3

  (       )(                )
                                (                )               (           )(                   )
                                                                                                      (               )               (            )(                   )
                                                                                                                                                                            (                   ) are fourth detritions coefficients for category 1, 2 and 3

  (       )(                )
                                (                ) ,             (           )(                   )
                                                                                                      (               ) ,              (               )(               )
                                                                                                                                                                            (                   ) are fifth detritions coefficients for category 1, 2 and 3

  (       )(                )
                                (                ) ,             (           )(                   )
                                                                                                      (               ) ,              (               )(               )
                                                                                                                                                                            (                   ) are sixth detritions coefficients for category 1, 2 and 3


SECOND MODULE CONCATENATION:                                                                                                                                                                                                                                                                                      65

                                                                             (                   )(       )
                                                                                                                  (               )( ) (                                )                   (         )(           )
                                                                                                                                                                                                                       (            )       (        )(               )
                                                                                                                                                                                                                                                                          (               )                       66

               (                )(      )
                                                                                 (                )(                          )
                                                                                                                                  (                        )                (               )(                     )
                                                                                                                                                                                                                       (           )        (        )(                       )
                                                                                                                                                                                                                                                                                  (               )
                                                                                                                                                                                                  (        )
                                                                 [                                                                                                              (                )             (               )                                                                      ]




                                                                                                                                                                                        148
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ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol 7, 2012



                                                                          (                       )(    )
                                                                                                                        (               )( ) (                               )                (             )(           )
                                                                                                                                                                                                                             (               )   (       )(           )
                                                                                                                                                                                                                                                                          (           )                               67

             (                   )(       )                                   (                       )(                            )
                                                                                                                                        (                       )             (                   )(                     )
                                                                                                                                                                                                                             (               )   (       )(                   )
                                                                                                                                                                                                                                                                                  (           )

                                                              [                                                                                                                   (                   )(         )
                                                                                                                                                                                                                     (               )                                                            ]

                                                                           (                      )(        )
                                                                                                                        (                   )( ) (                            )                   (         )(               )
                                                                                                                                                                                                                                 (           )      (        )(       )
                                                                                                                                                                                                                                                                          (               )                           68

             (                   )(       )
                                                                                  (                   )(                            )
                                                                                                                                        (                        )               (                )(                     )
                                                                                                                                                                                                                             (               )      (        )(               )
                                                                                                                                                                                                                                                                                  (               )

                                                              [                                                                                                                       (                )(        )
                                                                                                                                                                                                                     (                   )                                                                ]

Where        (               )( ) (                   )               (               )( ) (                           )                (           )( ) (                       ) are first augmentation coefficients for category 1, 2 and 3                                                                        69

    (   )(           )
                         (                ) ,         (            )(             )
                                                                                      (                 ) ,                 (           )(              )
                                                                                                                                                            (                ) are second augmentation coefficient for category 1, 2 and 3

    (   )(               )
                             (                )           (           )(                  )
                                                                                              (                    )            (               )(               )
                                                                                                                                                                     (            ) are third augmentation coefficient for category 1, 2 and 3

    (   )(                       )
                                     (            )           (            )(                           )
                                                                                                            (                   )               (               )(                )
                                                                                                                                                                                      (                   ) are fourth augmentation coefficient for category 1, 2 and
3

    (   )(                       )
                                     (            ),          (               )(                        )
                                                                                                            (                   ) ,                 (            )(                   )
                                                                                                                                                                                          (                ) are fifth augmentation coefficient for category 1, 2 and
3
                                                                                                                                                                                                                                                                                                                      70
    (   )(                       )
                                     (            ),          (               )(                           )
                                                                                                               (                ) ,                 (            )(                   )
                                                                                                                                                                                          (                ) are sixth augmentation coefficient for category 1, 2 and
3


 ( )( ) (    )                                                     (                  )(                )
                                                                                                            (                       )               (                 )(             )
                                                                                                                                                                                         (                  ) ARE SEVENTH DETRITION                                                                                   71
COEFFICIENTS

                                                                          (                   )(        )
                                                                                                                       (                )( ) (                               )                    (         )(           )
                                                                                                                                                                                                                             (           ) –(           )(        )
                                                                                                                                                                                                                                                                      (               )                               72

             (                   )(       )
                                                                           (                      )(                            )
                                                                                                                                    (                           ) –(                          )(                     )
                                                                                                                                                                                                                         (                   ) –(       )(                )
                                                                                                                                                                                                                                                                              (               )
                                                                                                                                                                                                       (     )
                                                              [                                                                                                                   (                   )          (                   )                                                                ]

                                                                          (                       )(    )
                                                                                                                       (                )( ) (                               )                    (         )(           )
                                                                                                                                                                                                                             (           ) –(           )(        )
                                                                                                                                                                                                                                                                      (               )                               73

             (                   )(       )
                                                                   –(                             )(                            )
                                                                                                                                    (                       ) –(                              )(                     )
                                                                                                                                                                                                                         (               ) –(           )(                )
                                                                                                                                                                                                                                                                              (               )

                                                              [                                                                                                                   (                   )(     )
                                                                                                                                                                                                                 (                   )                                                            ]

                                                                          (                   )(        )
                                                                                                                       (                )( ) (                               )                    (         )(           )
                                                                                                                                                                                                                             (           ) –(           )(        )
                                                                                                                                                                                                                                                                      (               )                               74

             (                   )(       )
                                                                           (                      )(                            )
                                                                                                                                    (                           ) –(                          )(                     )
                                                                                                                                                                                                                         (                   ) –(       )(                )
                                                                                                                                                                                                                                                                              (               )

                                                              [                                                                                                                   (                   )(     )
                                                                                                                                                                                                                 (                   )                                                                ]

                 (               )( ) (                ) ,                 (                  )( ) (                        ) ,                 (           )( ) (                       ) are first detrition coefficients for category 1, 2 and 3                                                                   75

    (   )(       )
                     (                )           (           )(          )
                                                                              (                   ) ,              (        )(              )
                                                                                                                                                (               ) are second detrition coefficients for category 1,2 and 3

    (   )(               )
                             (                )           (            )(                     )
                                                                                                  (                 )               (               )(               )
                                                                                                                                                                         (               ) are third detrition coefficients for category 1,2 and 3

    (   )(                       )
                                     (            )           (             )(                          )
                                                                                                            (                   )               (               )(                )
                                                                                                                                                                                      (                   ) are fourth detritions coefficients for category 1,2 and 3

    (   )(                       )
                                     (            ) ,             (            )(                           )
                                                                                                                (                   ) ,             (                )(                   )
                                                                                                                                                                                              (             ) are fifth detritions coefficients for category 1,2 and 3




                                                                                                                                                                                              149
Advances in Physics Theories and Applications                                                                                                                                                                                                                                                      www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol 7, 2012



    (    )(                )
                               (               )            (            )(                     )
                                                                                                    (                   ) ,          (       )(                       )
                                                                                                                                                                          (                   ) are sixth detritions coefficients for category 1,2 and 3


         (         )(              )
                                       (                   )             (                 )(            )
                                                                                                             (                      )        (                )(              )
                                                                                                                                                                                  (                        )




THIRD MODULE CONCATENATION:
                                                                                                                                                                                                                                                                                                           76

                                                   (                )(       )
                                                                                         (               )( ) (                          )               (                )(                      )
                                                                                                                                                                                                      (                )       (       )(          )
                                                                                                                                                                                                                                                       (               )
                                                                    (                               )                                                         (                               )                                            (               )
(       )(    )                                    (            )                                       (                   )            (                )                                       (                    )       (       )                       (           )

                                       [                                                                                                         (                )(                      )
                                                                                                                                                                                              (                    )                                                               ]

                                                                         (                 )(       )
                                                                                                                    (           )( ) (                        )                   (                   )(               )
                                                                                                                                                                                                                           (       )           (   )(              )
                                                                                                                                                                                                                                                                       (               )                   77

              (            )(       )
                                                                         (                 )(                               )
                                                                                                                                (                )                (                   )(                               )
                                                                                                                                                                                                                           (       )           (   )(                      )
                                                                                                                                                                                                                                                                               (           )

                                                            [                                                                                                             (                   )(               )
                                                                                                                                                                                                                   (           )                                                               ]

                                                                         (                 )(       )
                                                                                                                    (           )( ) (                        )                   (                   )(               )
                                                                                                                                                                                                                           (       )           (   )(              )
                                                                                                                                                                                                                                                                       (               )                   78

              (            )(       )
                                                                         (                 )(                               )
                                                                                                                                (                )                (                   )(                               )
                                                                                                                                                                                                                           (       )           (   )(                      )
                                                                                                                                                                                                                                                                               (           )

                                                            [                                                                                                             (                   )(               )
                                                                                                                                                                                                                   (           )                                                               ]

                                                                                                                                                                                                                                                                                                           79

    (    )( ) (                    ),          (           )( ) (                      ),           (               )( ) (               ) are first augmentation coefficients for category 1, 2 and 3

    (    )(        )
                       (                )              (        )(               )
                                                                                     (                  ) ,             (           )(       )
                                                                                                                                                 (                ) are second augmentation coefficients for category 1, 2 and 3

    (    )(        )
                       (                   )           (            )(             )
                                                                                       (                )               (           )(           )
                                                                                                                                                     (                ) are third augmentation coefficients for category 1, 2 and 3

   ( )(                        )
                                   (               ) ,          (             )(                            )
                                                                                                                (               )        (               )(                           )
                                                                                                                                                                                          (                ) are fourth augmentation coefficients for category 1,
2 and 3
                                                                                                                                                                                                                                                                                                           80
  ( )(                         )
                                   (               )            (         )(                            )
                                                                                                            (               )            (           )(                           )
                                                                                                                                                                                      (                   ) are fifth augmentation coefficients for category 1, 2
and 3

  ( )(                         )
                                   (               )            (             )(                         )
                                                                                                             (                )          (           )(                           )
                                                                                                                                                                                      (                   ) are sixth augmentation coefficients for category 1, 2
and 3


    (         )(               )
                                   (                   )            (                )(                  )
                                                                                                                (                   )        (                )(                      )
                                                                                                                                                                                          (                    ) are seventh augmentation coefficient                                                      81

                                                                                                                                                                                                                                                                                                           82

                                                    (               )(       )
                                                                                           (             )( ) (                          ) –(                             )(                      )
                                                                                                                                                                                                      (                    ) –(        )(          )
                                                                                                                                                                                                                                                       (           )
(       )(    )
                                               (             )(                                 )
                                                                                                    (                       ) –(                         )(                                   )
                                                                                                                                                                                                  (                    ) –(            )(                  )
                                                                                                                                                                                                                                                               (           )

                                    [                                                                                                    –(                   )(                  )
                                                                                                                                                                                      (                        )                                                                   ]

                                                                                                                                                                                                                                                                                                           83




                                                                                                                                                                              150
Advances in Physics Theories and Applications                                                                                                                                                                                                                                  www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol 7, 2012




                                                            (            )(        )
                                                                                                (            )( ) (                      ) –(                       )(               )
                                                                                                                                                                                         (                    ) –(          )(         )
                                                                                                                                                                                                                                           (           )
(           )(    )
                                                        (               )(                           )
                                                                                                         (                  ) –(                         )(                          )
                                                                                                                                                                                         (                    ) –(          )(                 )
                                                                                                                                                                                                                                                   (           )

                                          [                                                                                              –(                   )(             )
                                                                                                                                                                                 (                    )                                                                ]

                                                                                                                                                                                                                                                                                       84

                                                            (                )(     )
                                                                                                (            )( ) (                          ) –(                   )(                   )
                                                                                                                                                                                             (                ) –(          )(         )
                                                                                                                                                                                                                                           (               )
(           )(    )
                                                        (               )(                           )
                                                                                                         (                  ) –(                         )(                          )
                                                                                                                                                                                         (                    ) –(          )(                 )
                                                                                                                                                                                                                                                   (           )

                                          [                                                                                              –(                   )(             )
                                                                                                                                                                                 (                    )                                                                ]

    (        )( ) (                   )                 (           )( ) (                      )            (          )( ) (                   ) are first detritions coefficients for category 1, 2 and 3                                                                           85

    (        )(           )
                              (                   ) ,           (        )(             )
                                                                                            (               ) ,         (           )(           )
                                                                                                                                                     (             ) are second detritions coefficients for category 1, 2 and 3

    (        )(           )
                              (           )                 (           )(          )
                                                                                        (           ) ,             (       )(           )
                                                                                                                                             (           ) are third detrition coefficients for category 1,2 and 3

    (        )(                       )
                                          (                 )           (          )(                       )
                                                                                                                (           )            (           )(                  )
                                                                                                                                                                             (                   ) are fourth detritions coefficients for category 1,
2 and 3

        (        )(                       )
                                              (                 )            (         )(                       )
                                                                                                                    (           )            (           )(                  )
                                                                                                                                                                                 (                ) are fifth detritions coefficients for category 1, 2
and 3

    (        )(                       )
                                          (                 )           (          )(                       )
                                                                                                                (           )            (           )(                  )
                                                                                                                                                                             (                   ) are sixth detritions coefficients for category 1, 2
and 3

–(               )(               )
                                      (                     ) –(                        )(               )
                                                                                                             (                  ) –(                      )(          )
                                                                                                                                                                          (                       ) are seventh detritions coefficients                                                86

====================================================================================



FOURTH MODULE CONCATENATION:
                                                                             (              )(      )
                                                                                                                (           )( ) (                        )          (               )(               )
                                                                                                                                                                                                          (         )       (         )(       )
                                                                                                                                                                                                                                                   (           )                       87

                      (               )(          )
                                                                                       (            )(                  )
                                                                                                                            (                    )            (       )(                         )
                                                                                                                                                                                                     (          )       (        )(                )
                                                                                                                                                                                                                                                       (           )

                                                                         [                                                                                    (       )(                          )
                                                                                                                                                                                                      (         )                                                          ]

                                                                             (              )(      )
                                                                                                                (           )( ) (                        )          (               )(               )
                                                                                                                                                                                                          (         )       (         )(       )
                                                                                                                                                                                                                                                   (           )                       88

                      (               )(          )                                 (               )(                  )
                                                                                                                            (                    )            (       )(                         )
                                                                                                                                                                                                     (          )       (        )(                )
                                                                                                                                                                                                                                                       (       )

                                                                         [                                                                                (          )(                          )
                                                                                                                                                                                                     (          )                                                      ]

                                                                             (              )(      )
                                                                                                                (           )( ) (                        )          (               )(               )
                                                                                                                                                                                                          (         )       (         )(       )
                                                                                                                                                                                                                                                   (           )                       89

                      (               )(          )                                 (               )(                  )
                                                                                                                            (                )             (          )(                         )
                                                                                                                                                                                                     (          )       (        )(                )
                                                                                                                                                                                                                                                       (       )
                                                                                                                                                          (          )(                          )
                                                                                                                                                                                                     (          )
                                                                         [                                                                                                                                                                                             ]
                                                                                                                                                                                                                                                                                      90

                  (           )( ) (                    )           (            )( ) (                 )           (       )( ) (                   )



                                                                                                                                                                     151
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Quantum gravity

  • 1. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 QUANTUM GRAVITY- THE EL DORADO – NAY A NE PLUS ULTRA --THE FINAL FINALE 1 DR K N PRASANNA KUMAR, 2PROF B S KIRANAGI AND 3 PROF C S BAGEWADI ABSTRACT: Motivation for quantizing gravity comes from the remarkable success of the quantum theories of the other three fundamental interactions, and from experimental evidence suggesting that gravity can be made to show quantum effects Although some quantum gravity theories such as string theory and other unified field theories (or 'theories of everything') attempt to unify gravity with the other fundamental forces, others such as loop quantum gravity make no such attempt; they simply quantize the gravitational field while keeping it separate from the other forces. Observed physical phenomena can be described well by quantum mechanics or general relativity, without needing both. This can be thought of as due to an extreme separation of mass scales at which they are important. Quantum effects are usually important only for the "very small", that is, for objects no larger than typical molecules. General relativistic effects, on the other hand, show up mainly for the "very large" bodies such as collapsed stars. (Planets' gravitational fields, as of 2011, are well-described by linearised except for Mercury's perihelion precession; so strong-field effects—any effects of gravity beyond lowest nonvanishing order in φ/c2—have not been observed even in the gravitational fields of planets and main sequence stars). There is a lack of experimental evidence relating to quantum gravity, and classical physics adequately describes the observed effects of gravity over a range of 50 orders of magnitude of mass, i.e., for masses of objects from about 10−23 to 1030 kg.We present a complete Model which probably explains the positivities and discrepancies and inadequacies of each model. Physics is certainly moving in to the subterranean realm and ceratoid dualism of consciousness and subject object duality(Freud vouchsafed only at the mother’s breast shall the subject and object shall be one),like a maverick trying to transcend the boundaries of space time, standing on the threshold of infinity trying to ponder what lies beyond the veil which separates the scene from unseen? 139
  • 2. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 INTRODUCTION: The following figurative representation is explains in best possible words the model that is proposed. A consummate model encompassing all the theories is presented. The theories are there to be applied to various physical systems which have different parametric representationalitiesof. Concept of “Theory”is explained in previous examples. And the bank’s example of conservativeness of individual debits and credits and the holistic conservativeness of assets and Liability is pronouncedly predominant in this case also. We shall not repeat in the following the same argument. One more factor that is to be remarked is that there are possibilities of concatenation of same theory with different theories. That the name appeared twice in the Model should not foreclose its option for its relationship with others. CLASSICAL MECHANICS AND NEWTONIAN GRAVITY: MODULE NUMBERED ONE NOTATION : : CATEGORY ONE OF CLASSICAL MECHANICS : CATEGORY TWO OF CLASICAL MECHANICS : CATEGORY THREE OF CLASSICAL MECHANICS : CATEGORY ONE OF NEWTONIAN GRAVITY 140
  • 3. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 : CATEGORY TWO OFNEWTONIAN GRAVITY :CATEGORY THREE OFNEWTONIAN GRAVITY(WE ARE TALKING OF SYSTEMS;LAW IS THERE BUT IS APPLICABLE TO VARIOUS SYSTEMS) INVARIANT SU(3),THE PHYSICAL PARAMETER STATES QUANTUM MECHANICS AND QUANTUM FIELD THEORY: MODULE NUMBERED TWO: ========================================================================== === : CATEGORY ONE OF QUANTUM MECHANICS : CATEGORY TWO OF QUANTUM MECHANICS : CATEGORY THREE OF QUANTUM MECHANICS :CATEGORY ONE OF QUANTUM FIELD THEORY : CATEGORY TWO OF QUANTUM FIELD THEORY : CATEGORY THREE OF QUANTUM FIELD THEORY ELECTROMAGNETISM AND STR(SPECIAL THEORY OF RELATIVITY): MODULE NUMBERED THREE: ========================================================================== === : CATEGORY ONE OF ELECTROMAGNETISM :CATEGORY TWO OF ELECTROMAGNETIC THEORY : CATEGORY THREE OF ELECTROMAGNETIC THEORY : CATEGORY ONE OF STR :CATEGORY TWO OF STR : CATEGORY THREE OF STR GTR(GENERAL THEORY OF RELATIVITY )ANDQFT(QUANTUM FIELD THEORY)IN CURVED SPACE TIME(BASED ON CERTAIN VARAIBLES OF THE SYSTEM WHICH CONSEQUENTIALLY CLSSIFIABLE ON PARAMETERS) : MODULE NUMBERED FOUR: ========================================================================== == 141
  • 4. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 : CATEGORY ONE OFGTREVALUATIVE PARAMETRICIZATION OF SITUATIONAL ORIENTATIONS AND ESSENTIAL COGNITIVE ORIENTATION AND CHOICE VARIABLES OF THE SYSTEM TO WHICH QFT IS APPLICABLE) : CATEGORY TWO OF GTR : CATEGORY THREE OF GTR :CATEGORY ONE OF QFT IN CURVED SPACE TIME :CATEGORY TWO OF QFT(SYSTEMIC INSTRUMENTAL CHARACTERISATIONS AND ACTION ORIENTATIONS AND FUYNCTIONAL IMPERATIVES OF CHANGE MANIFESTED THEREIN ) : CATEGORY THREE OF QUANTUM FIELD THEORY GTR(GENERAL THEORY OF RELATIVITY(THERE ARE MANY OBSERVES AND GTR IS APPLICABLE TO BILLION SYSTEMS NOTWITHSTANDING THE GENERALISATIONAL NATURE OF THE THEORY) AND QUANTUM GRAVITY MODULE NUMBERED FIVE: ========================================================================== === : CATEGORY ONE OF GTR : CATEGORY TWO OF QUANTUM GRAVITY :CATEGORY THREE OFQUANTUM GRAVITY(THE FINAL THEORY MUST POSSESS THE SAME CHARACTERSTICS OF ITS CONSTITUENTS-IT CANNOT SIT IN IVORY TOWER WITHOUT APPLICABILITY TO VARIOUS SYSTEMS) :CATEGORY ONE OF QUANTUM GRAVITY :CATEGORY TWO OFQUANTUM GRAVITY :CATEGORY THREE OF QUANTUM GRAVITY ========================================================================= QFT IN CURVED SPACE TIME AND QUANTUM GRAVITY: MODULE NUMBERED SIX: ========================================================================== === : CATEGORY ONE OF QFT IN CURVED SPACE AND TIME : CATEGORY TWO OF QFT IN SPACE AND TIME 142
  • 5. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 : CATEGORY THREE OFQFT IN CURVED SPACE AND TIME : CATEGORY ONE OF QUANTUN GRAVITY : CATEGORY TWO OF QUANTUM GRAVITY : CATEGORY THREE OF QUANTUM GRAVITY GTR AND QFT IN CURVED SPACE TIME MODULE NUMBERED SEVEN ========================================================================== : CATEGORY ONE OF GTR : CATEGORY TWO OF GTR : CATEGORY THREE OF GTR : CATEGORY ONE OF QFT IN CURVED SPACE TIME : CATEGORY TWO OF : CATEGORY THREE OF QFT IN CURVED SPACEAND TIME ========================================================================== ===== ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) : ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) , ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) are Accentuation coefficients ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) , ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) are Dissipation coefficients CLASSICAL MECHANICS AND NEWTONIAN GRAVITY: 1 MODULE NUMBERED ONE The differential system of this model is now (Module Numbered one) ( )( ) [( )( ) ( )( ) ( )] 2 143
  • 6. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 ( )( ) [( )( ) ( )( ) ( )] 3 ( )( ) [( )( ) ( )( ) ( )] 4 ( )( ) [( )( ) ( )( ) ( )] 5 ( )( ) [( )( ) ( )( ) ( )] 6 ( )( ) [( )( ) ( )( ) ( )] 7 ( )( ) ( ) First augmentation factor 8 ( )( ) ( ) First detritions factor QUANTUM MECHANICS AND QUANTUM FIELD THEORY: 9 MODULE NUMBERED TWO: The differential system of this model is now ( Module numbered two) ( )( ) [( )( ) ( )( ) ( )] 10 ( )( ) [( )( ) ( )( ) ( )] 11 ( )( ) [( )( ) ( )( ) ( )] 12 ( )( ) [( )( ) ( )( ) (( ) )] 13 ( )( ) [( )( ) ( )( ) (( ) )] 14 ( )( ) [( )( ) ( )( ) (( ) )] 15 ( )( ) ( ) First augmentation factor 16 ( )( ) (( ) ) First detritions factor 17 ELECTROMAGNETISM AND STR(SPECIAL THEORY OF RELATIVITY): 18 MODULE NUMBERED THREE: The differential system of this model is now (Module numbered three) ( )( ) [( )( ) ( )( ) ( )] 19 ( )( ) [( )( ) ( )( ) ( )] 20 ( )( ) [( )( ) ( )( ) ( )] 21 ( )( ) [( )( ) ( )( ) ( )] 22 144
  • 7. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 ( )( ) [( )( ) ( )( ) ( )] 23 ( )( ) [( )( ) ( )( ) ( )] 24 ( )( ) ( ) First augmentation factor ( )( ) ( ) First detritions factor 25 GTR(GENERAL THEORY OF RELATIVITY )ANDQFT(QUANTUM FIELD THEORY)IN 26 CURVED SPACE TIME(BASED ON CERTAIN VARAIBLES OF THE SYSTEM WHICH CONSEQUENTIALLY CLSSIFIABLE ON PARAMETERS) : MODULE NUMBERED FOUR) The differential system of this model is now (Module numbered Four) ( )( ) [( )( ) ( )( ) ( )] 27 ( )( ) [( )( ) ( )( ) ( )] 28 ( )( ) [( )( ) ( )( ) ( )] 29 ( )( ) [( )( ) ( )( ) (( ) )] 30 ( )( ) [( )( ) ( )( ) (( ) )] 31 ( )( ) [( )( ) ( )( ) (( ) )] 32 ( )( ) ( ) First augmentation factor 33 ( )( ) (( ) ) First detritions factor 34 GTR(GENERAL THEORY OF RELATIVITY(THERE ARE MANY OBSERVES AND GTR IS 35 APPLICABLE TO BILLION SYSTEMS NOTWITHSTANDING THE GENERALISATIONAL NATURE OF THE THEORY) AND QUANTUM GRAVITY MODULE NUMBERED FIVE The differential system of this model is now (Module number five) ( )( ) [( )( ) ( )( ) ( )] 36 ( )( ) [( )( ) ( )( ) ( )] 37 ( )( ) [( )( ) ( )( ) ( )] 38 ( )( ) [( )( ) ( )( ) (( ) )] 39 145
  • 8. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 ( )( ) [( )( ) ( )( ) (( ) )] 40 ( )( ) [( )( ) ( )( ) (( ) )] 41 ( )( ) ( ) First augmentation factor 42 ( )( ) (( ) ) First detritions factor 43 44 QFT IN CURVED SPACE TIME AND QUANTUM GRAVITY: 45 MODULE NUMBERED SIX: The differential system of this model is now (Module numbered Six) ( )( ) [( )( ) ( )( ) ( )] 46 ( )( ) [( )( ) ( )( ) ( )] 47 ( )( ) [( )( ) ( )( ) ( )] 48 ( )( ) [( )( ) ( )( ) (( ) )] 49 ( )( ) [( )( ) ( )( ) (( ) )] 50 ( )( ) [( )( ) ( )( ) (( ) )] 51 ( )( ) ( ) First augmentation factor 52 GTR AND QFT IN CURVED SPACE TIME 53 MODULE NUMBERED SEVEN: The differential system of this model is now (SEVENTH MODULE) ( )( ) [( )( ) ( )( ) ( )] 54 ( )( ) [( )( ) ( )( ) ( )] 55 ( )( ) [( )( ) ( )( ) ( )] 56 ( )( ) [( )( ) ( )( ) (( ) )] 57 ( )( ) [( )( ) ( )( ) (( ) )] 58 146
  • 9. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 59 ( )( ) [( )( ) ( )( ) (( ) )] 60 ( )( ) ( ) First augmentation factor 61 ( )( ) (( ) ) First detritions factor 62 FIRST MODULE CONCATENATION: ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ( )( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ( )( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ] Where ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are first augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are second augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are fourth augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fifth augmentation coefficient for category 1, 2 and 3 ( )( ) ( ), ( )( ) ( ) , ( )( ) ( ) are sixth augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ARESEVENTHAUGMENTATION COEFFICIENTS ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) [ ( )( ) ( ) ] 147
  • 10. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) [ ( )( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( )( ) –( )( ) ( ) –( )( ) ( ) –( )( ) ( ) [ ( )( ) ( ) ] Where ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are first detritions coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are second detritions coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third detritions coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fourth detritions coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are fifth detritions coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are sixth detritions coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ARE SEVENTH DETRITION COEFFICIENTS 63 ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) Where ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are first detrition coefficients for category 1, 2 and 3 64 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are second detritions coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third detritions coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fourth detritions coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are fifth detritions coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are sixth detritions coefficients for category 1, 2 and 3 SECOND MODULE CONCATENATION: 65 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 66 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( ) [ ( ) ( ) ] 148
  • 11. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 67 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ( )( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 68 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ( )( ) ( ) ] Where ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are first augmentation coefficients for category 1, 2 and 3 69 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are second augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fourth augmentation coefficient for category 1, 2 and 3 ( )( ) ( ), ( )( ) ( ) , ( )( ) ( ) are fifth augmentation coefficient for category 1, 2 and 3 70 ( )( ) ( ), ( )( ) ( ) , ( )( ) ( ) are sixth augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ARE SEVENTH DETRITION 71 COEFFICIENTS ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) 72 ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) ( ) [ ( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) 73 ( )( ) –( )( ) ( ) –( )( ) ( ) –( )( ) ( ) [ ( )( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) 74 ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) [ ( )( ) ( ) ] ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are first detrition coefficients for category 1, 2 and 3 75 ( )( ) ( ) ( )( ) ( ) , ( )( ) ( ) are second detrition coefficients for category 1,2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third detrition coefficients for category 1,2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fourth detritions coefficients for category 1,2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are fifth detritions coefficients for category 1,2 and 3 149
  • 12. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 ( )( ) ( ) ( )( ) ( ) , ( )( ) ( ) are sixth detritions coefficients for category 1,2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) THIRD MODULE CONCATENATION: 76 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( ) ( ) ( ) ( ) ( ) [ ( )( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 77 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ( )( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 78 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ( )( ) ( ) ] 79 ( )( ) ( ), ( )( ) ( ), ( )( ) ( ) are first augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) , ( )( ) ( ) are second augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) ( )( ) ( ) are fourth augmentation coefficients for category 1, 2 and 3 80 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fifth augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are sixth augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are seventh augmentation coefficient 81 82 ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) [ –( )( ) ( ) ] 83 150
  • 13. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol 7, 2012 ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) [ –( )( ) ( ) ] 84 ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) [ –( )( ) ( ) ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are first detritions coefficients for category 1, 2 and 3 85 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are second detritions coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) , ( )( ) ( ) are third detrition coefficients for category 1,2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fourth detritions coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fifth detritions coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are sixth detritions coefficients for category 1, 2 and 3 –( )( ) ( ) –( )( ) ( ) –( )( ) ( ) are seventh detritions coefficients 86 ==================================================================================== FOURTH MODULE CONCATENATION: ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 87 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ( )( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 88 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ( )( ) ( ) ] ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 89 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) [ ] 90 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 151