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Β© ABCC Australia 2015 new-physics.com
THE MICHELSON-MORLEY EXPERIMENT
Cosmic Adventure Episode 2.06
Β© ABCC Australia 2015 new-physics.com
Shifted Positions
When the system moves
with the earth, the situation
is different.
Before the beams are able to
reach the reflectors, the
reflectors will have been
moved by the earth’s motion
a distance equal to 𝑣𝑑. The
beams have to move further
to reach these new positions.
New position
New position
Beam 1
Beam 2
𝑣𝑑
𝑣𝑑
Β© ABCC Australia 2015 new-physics.com
Beam 1 Forward Trip
Upwind Speed:
𝑐 βˆ’ 𝑣
Upwind Time :
𝑑1π‘Ž =
𝑙 π‘œ
𝑐 βˆ’ 𝑣
Beam 1
Beam 2
Β© ABCC Australia 2015 new-physics.com
Beam 1 Return Trip
But when he returns, he is
aided by the aether wind and
ended up in gaining speed,
that is:
Downwind Speed:
𝑐 + 𝑣
Downwind Time:
𝑑1𝑏 =
𝑙 π‘œ
𝑐 + 𝑣
Beam 1
𝑣𝑑
Β© ABCC Australia 2015 new-physics.com
Timing for Beam 1
The total time taken by Beam 1 is:
𝑑 π΅π‘’π‘Žπ‘š 1 πΉπ‘œπ‘Ÿπ‘€π‘Žπ‘Ÿπ‘‘ + 𝑑 π΅π‘’π‘Žπ‘š 1 π‘Ÿπ‘’π‘‘π‘’π‘Ÿπ‘›
=
𝑙 π‘œ
𝑐 βˆ’ 𝑣
+
𝑙 π‘œ
𝑐 + 𝑣
=
2𝑙 π‘œ
𝑐 𝑐2 βˆ’ 𝑣2
As if it has not suffered any
deviation.
Beam 1
Β© ABCC Australia 2015 new-physics.com
Beam 2
For Beam 2, the situation is
a bit more complicated. To
reached the new position of
the reflector, Beam 2 has to
bend towards it.
Michelson explained.
New position
Beam 2
𝑣𝑑
Β© ABCC Australia 2015 new-physics.com
So now the beam shoots at a
slanting angle to its original
path 𝑙 π‘œ.
By the Pythagoras theorem:
𝑙 π‘œ
2
= 𝑐2
𝑑2
2
βˆ’ 𝑣2
𝑑2
2
= 𝑑2
2
𝑐2
βˆ’ 𝑣2
𝑑2
2
=
𝑙 π‘œ
2
𝑐2 βˆ’ 𝑣2
𝑑2 =
𝑙 π‘œ
𝑐 1 βˆ’ 𝑣2/𝑐2
𝑣𝑑
𝑐𝑑
𝑙 π‘œ
𝑙 π‘œ
𝑣𝑑
𝑐𝑑
Β© ABCC Australia 2015 new-physics.com
Complete Trip Time
Doubling the trip:
π‘‡π‘–π‘šπ‘’ = 2𝑑2
=
2𝑙 π‘œ
𝑐 1 βˆ’ 𝑣2/𝑐2
𝑐𝑑
𝑙 π‘œ
𝑣𝑑
Β© ABCC Australia 2015 new-physics.com
Comparison
π‘‡π‘–π‘šπ‘’ π‘“π‘œπ‘Ÿ π΅π‘’π‘Žπ‘š 1
=
2𝑙 π‘œ
𝑐 𝑐2 βˆ’ 𝑣2
π‘‡π‘–π‘šπ‘’ π‘“π‘œπ‘Ÿ π΅π‘’π‘Žπ‘š 2
=
2𝑙 π‘œ
𝑐 𝑐2 βˆ’ 𝑣2
Now we can have a complete information of the times used by the two
reflected beams. The difference is obvious. Beam 2 will take a longer
time than Beam 1 to complete the round trip.
Β© ABCC Australia 2015 new-physics.com
Analysing the Beams
The returned beams
recombined by respectively
transmission and reflection
at the beam splitter. They
will be collected by the
telescope or observer.
Since there are differences in
the path lengths, there
should be interferences and
fringes would came out.
Waves not in
phase.
Fringes appears.
Beam 1 Beam 2
Β© ABCC Australia 2015 new-physics.com
Interference Fringes
Like every other objects in the universe, the earth is moving through the
aether at a velocity of 30 miles a second. So the aether winds thus created
should be equal to the earth’s speed in orbit.
The ratio of earth’s velocity to light speed is 𝑣/𝑐 and is about 1/10,000, so
𝑣²/𝑐² is about 1/100,000,000.
This means the time delay between the pulses is about one-hundred-
millionth of a few millionths of a second.
Β© ABCC Australia 2015 new-physics.com
Interference Fringes
It seems completely
impossible to detect such a
short time delay. However,
this is where Michelson’s
expertise laid. His trick was
to use the interference
properties of the light
waves. If there was a path
difference, there would be
interference fringes.
Fringe pattern caused by source shift in the
Michelson-Morley interferometer.
Β© ABCC Australia 2015 new-physics.com
RESULTS
Β© ABCC Australia 2015 new-physics.com
Nil Result
But to the astonishment of the
scientific community, when the first
experiment was carried out in 1881,
Michelson was unable to find any
interference fringes.
It implied that both the returning
beams have arrived at the half
silvered mirror at the same time
contrary to their expectation that the
β€˜perpendicular beam’ would take
longer for the return trip than the
β€˜parallel beam’.
Β© ABCC Australia 2015 new-physics.com
Improved Setup
Later in 1887, he teamed up with
Edward Morley (1838-1923), a very
experienced experimenter, and set
up a much more accurate version of
the experiment.
Michelson had the interference
effect greatly magnified and using
multiple reflections. The effective
length was increased to 1,100 cm so
that an interference difference
caused by an apparatus velocity of 3
km/sec would be easily detected.
To their disappointment, no
difference was observed at all.
Β© ABCC Australia 2015 new-physics.com
More and Better Tests
In 1905 and in the subsequently
years more tests were carried out
with even greater precision and
better technique.
One of the most accurate
experiments was done in 1960 by
Charles H. Townes (1915-2015)
using masers. The set-up was so
sensitive that even if the earth
moved at only one-thousandth of
its actual speed, the ether wind so
generated can still be detected.
The results were all the same. Not
even the slightest trace of ether
wind was detected.
Charles H. Townes (1915-2015) and his masers
Β© ABCC Australia 2015 new-physics.com
The most Famous Failed experiment
To the scientists, the null result implied three possibilities:
1) Either there wasn’t anything called Ether
2) or the Earth must be dragging a β€˜blob’ of Ether around it so there
wouldn’t be any Ether wind to detect.
3) There is the mysterious effect of time dilation.
However, evidence from other observations has disproved the possibility
of Ether drag; time dilation was also later found not acceptable. So the
scientific community was left with the first possibility and interpreted the
null result in MM experiment as a firm disproof of the existence of the
Ether medium.
The experiment became what has been called the most famous failed
experiment in history.[
Β© ABCC Australia 2015 new-physics.com
Epitaph to the Experiment
Michelson wrote about the "decidedly negative result" in a letter to Lord
Rayleigh in August 1887:
The Experiments on the relative motion of the earth and ether have been
completed and the result decidedly negative. The expected deviation of
the interference fringes from the zero should have been 0.40 of a fringe –
the maximum displacement was 0.02 and the average much less than 0.01
– and then not in the right place. As displacement is proportional to
squares of the relative velocities it follows that if the ether does slip past
the relative velocity is less than one sixth of the earth’s velocity.
β€” Albert Abraham Michelson, 1887
Β© ABCC Australia 2015 new-physics.com
Where did it go
wrong?
You must be wondering
that this is a dead issue,
coffined and nailed. But
this is not. The water is just
starting to boil. It is the
Pandora’s box of modern
time being widely open
now.
The key question is, where
did the experiment go
wrong?
Β© ABCC Australia 2015 new-physics.com
Sword in the Stone
The scientist of the nineteenth
century had come up with many
valuable solutions like aether drag,
Lorentz contraction, and many other
fanciful ideas.
But to us, none of them can explain
the null result convincingly.
We had fun with the problem as
well. We called it the sword in the
stone. Whoever pulls it out will be
able to cut all the misconceptions
engendered by the experiment.
Β© ABCC Australia 2015 new-physics.com
THE SECRET OF THE MM EXPERIMENT
To be continued on: Episode 2.07

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Cosmic Adventure Episode 2.06 MM Experiment

  • 1. Β© ABCC Australia 2015 new-physics.com THE MICHELSON-MORLEY EXPERIMENT Cosmic Adventure Episode 2.06
  • 2. Β© ABCC Australia 2015 new-physics.com Shifted Positions When the system moves with the earth, the situation is different. Before the beams are able to reach the reflectors, the reflectors will have been moved by the earth’s motion a distance equal to 𝑣𝑑. The beams have to move further to reach these new positions. New position New position Beam 1 Beam 2 𝑣𝑑 𝑣𝑑
  • 3. Β© ABCC Australia 2015 new-physics.com Beam 1 Forward Trip Upwind Speed: 𝑐 βˆ’ 𝑣 Upwind Time : 𝑑1π‘Ž = 𝑙 π‘œ 𝑐 βˆ’ 𝑣 Beam 1 Beam 2
  • 4. Β© ABCC Australia 2015 new-physics.com Beam 1 Return Trip But when he returns, he is aided by the aether wind and ended up in gaining speed, that is: Downwind Speed: 𝑐 + 𝑣 Downwind Time: 𝑑1𝑏 = 𝑙 π‘œ 𝑐 + 𝑣 Beam 1 𝑣𝑑
  • 5. Β© ABCC Australia 2015 new-physics.com Timing for Beam 1 The total time taken by Beam 1 is: 𝑑 π΅π‘’π‘Žπ‘š 1 πΉπ‘œπ‘Ÿπ‘€π‘Žπ‘Ÿπ‘‘ + 𝑑 π΅π‘’π‘Žπ‘š 1 π‘Ÿπ‘’π‘‘π‘’π‘Ÿπ‘› = 𝑙 π‘œ 𝑐 βˆ’ 𝑣 + 𝑙 π‘œ 𝑐 + 𝑣 = 2𝑙 π‘œ 𝑐 𝑐2 βˆ’ 𝑣2 As if it has not suffered any deviation. Beam 1
  • 6. Β© ABCC Australia 2015 new-physics.com Beam 2 For Beam 2, the situation is a bit more complicated. To reached the new position of the reflector, Beam 2 has to bend towards it. Michelson explained. New position Beam 2 𝑣𝑑
  • 7. Β© ABCC Australia 2015 new-physics.com So now the beam shoots at a slanting angle to its original path 𝑙 π‘œ. By the Pythagoras theorem: 𝑙 π‘œ 2 = 𝑐2 𝑑2 2 βˆ’ 𝑣2 𝑑2 2 = 𝑑2 2 𝑐2 βˆ’ 𝑣2 𝑑2 2 = 𝑙 π‘œ 2 𝑐2 βˆ’ 𝑣2 𝑑2 = 𝑙 π‘œ 𝑐 1 βˆ’ 𝑣2/𝑐2 𝑣𝑑 𝑐𝑑 𝑙 π‘œ 𝑙 π‘œ 𝑣𝑑 𝑐𝑑
  • 8. Β© ABCC Australia 2015 new-physics.com Complete Trip Time Doubling the trip: π‘‡π‘–π‘šπ‘’ = 2𝑑2 = 2𝑙 π‘œ 𝑐 1 βˆ’ 𝑣2/𝑐2 𝑐𝑑 𝑙 π‘œ 𝑣𝑑
  • 9. Β© ABCC Australia 2015 new-physics.com Comparison π‘‡π‘–π‘šπ‘’ π‘“π‘œπ‘Ÿ π΅π‘’π‘Žπ‘š 1 = 2𝑙 π‘œ 𝑐 𝑐2 βˆ’ 𝑣2 π‘‡π‘–π‘šπ‘’ π‘“π‘œπ‘Ÿ π΅π‘’π‘Žπ‘š 2 = 2𝑙 π‘œ 𝑐 𝑐2 βˆ’ 𝑣2 Now we can have a complete information of the times used by the two reflected beams. The difference is obvious. Beam 2 will take a longer time than Beam 1 to complete the round trip.
  • 10. Β© ABCC Australia 2015 new-physics.com Analysing the Beams The returned beams recombined by respectively transmission and reflection at the beam splitter. They will be collected by the telescope or observer. Since there are differences in the path lengths, there should be interferences and fringes would came out. Waves not in phase. Fringes appears. Beam 1 Beam 2
  • 11. Β© ABCC Australia 2015 new-physics.com Interference Fringes Like every other objects in the universe, the earth is moving through the aether at a velocity of 30 miles a second. So the aether winds thus created should be equal to the earth’s speed in orbit. The ratio of earth’s velocity to light speed is 𝑣/𝑐 and is about 1/10,000, so 𝑣²/𝑐² is about 1/100,000,000. This means the time delay between the pulses is about one-hundred- millionth of a few millionths of a second.
  • 12. Β© ABCC Australia 2015 new-physics.com Interference Fringes It seems completely impossible to detect such a short time delay. However, this is where Michelson’s expertise laid. His trick was to use the interference properties of the light waves. If there was a path difference, there would be interference fringes. Fringe pattern caused by source shift in the Michelson-Morley interferometer.
  • 13. Β© ABCC Australia 2015 new-physics.com RESULTS
  • 14. Β© ABCC Australia 2015 new-physics.com Nil Result But to the astonishment of the scientific community, when the first experiment was carried out in 1881, Michelson was unable to find any interference fringes. It implied that both the returning beams have arrived at the half silvered mirror at the same time contrary to their expectation that the β€˜perpendicular beam’ would take longer for the return trip than the β€˜parallel beam’.
  • 15. Β© ABCC Australia 2015 new-physics.com Improved Setup Later in 1887, he teamed up with Edward Morley (1838-1923), a very experienced experimenter, and set up a much more accurate version of the experiment. Michelson had the interference effect greatly magnified and using multiple reflections. The effective length was increased to 1,100 cm so that an interference difference caused by an apparatus velocity of 3 km/sec would be easily detected. To their disappointment, no difference was observed at all.
  • 16. Β© ABCC Australia 2015 new-physics.com More and Better Tests In 1905 and in the subsequently years more tests were carried out with even greater precision and better technique. One of the most accurate experiments was done in 1960 by Charles H. Townes (1915-2015) using masers. The set-up was so sensitive that even if the earth moved at only one-thousandth of its actual speed, the ether wind so generated can still be detected. The results were all the same. Not even the slightest trace of ether wind was detected. Charles H. Townes (1915-2015) and his masers
  • 17. Β© ABCC Australia 2015 new-physics.com The most Famous Failed experiment To the scientists, the null result implied three possibilities: 1) Either there wasn’t anything called Ether 2) or the Earth must be dragging a β€˜blob’ of Ether around it so there wouldn’t be any Ether wind to detect. 3) There is the mysterious effect of time dilation. However, evidence from other observations has disproved the possibility of Ether drag; time dilation was also later found not acceptable. So the scientific community was left with the first possibility and interpreted the null result in MM experiment as a firm disproof of the existence of the Ether medium. The experiment became what has been called the most famous failed experiment in history.[
  • 18. Β© ABCC Australia 2015 new-physics.com Epitaph to the Experiment Michelson wrote about the "decidedly negative result" in a letter to Lord Rayleigh in August 1887: The Experiments on the relative motion of the earth and ether have been completed and the result decidedly negative. The expected deviation of the interference fringes from the zero should have been 0.40 of a fringe – the maximum displacement was 0.02 and the average much less than 0.01 – and then not in the right place. As displacement is proportional to squares of the relative velocities it follows that if the ether does slip past the relative velocity is less than one sixth of the earth’s velocity. β€” Albert Abraham Michelson, 1887
  • 19. Β© ABCC Australia 2015 new-physics.com Where did it go wrong? You must be wondering that this is a dead issue, coffined and nailed. But this is not. The water is just starting to boil. It is the Pandora’s box of modern time being widely open now. The key question is, where did the experiment go wrong?
  • 20. Β© ABCC Australia 2015 new-physics.com Sword in the Stone The scientist of the nineteenth century had come up with many valuable solutions like aether drag, Lorentz contraction, and many other fanciful ideas. But to us, none of them can explain the null result convincingly. We had fun with the problem as well. We called it the sword in the stone. Whoever pulls it out will be able to cut all the misconceptions engendered by the experiment.
  • 21. Β© ABCC Australia 2015 new-physics.com THE SECRET OF THE MM EXPERIMENT To be continued on: Episode 2.07