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Β© ABCC Australia 2015 new-physics.com
WHERE DID ALL THESE EQUATIONS
COME FROM?
Cosmic Adventure Episode 2.05
Β© ABCC Australia 2015 new-physics.com
The Origin of
Relativity
It goes without saying that
Einstein’s theory of relativity
is one of the most
revolutionary ideas ever
produced by a human mind.
But it is quite marvellous to
think that this latest idea
had its origin in the oldest
fairy tale in ancient Greek
mythology. It all started with
the god aether.
Aether?
Β© ABCC Australia 2015 new-physics.com
Aether
The term β€˜aether’
stemmed from a
Greek root
meaning β€˜pure,
fresh air’, β€˜upper
air’ or β€˜clear sky’.
Somehow in
modern time, it
had become the
mysterious
substance that
pervaded the
entire universe.
Aether the first-born of the elemental gods. Painting By
Evelyn Pickering De Morgan, Night and Sleep, 1878.
Β© ABCC Australia 2015 new-physics.com
Light –
An Electromagnetic Wave
In the nineteenth century, aether exploded
into prominence when James Clerk
Maxwell discovered that light is an
electromagnetic wave.
As a wave, light needs a medium for its
propagation - just like sound waves which
need air as their transmission medium.
Maxwell thought that aether was the
medium for light.
Β© ABCC Australia 2015 new-physics.com
Light Speed Constancy
Secondly, the existence ofa
stationary aether medium
would provide a natural
explanation to the constancy
of light velocity without
further assumptions.
Electromagnetic waves
Β© ABCC Australia 2015 new-physics.com
The Absolute Frame in
Classical Mechanics
Thirdly, before Maxwell, the
renowned physicist Isaac Newton
also had aether to be the seat of
his absolute reference system in
space.
Β© ABCC Australia 2015 new-physics.com
Medium for Gravitation
Fourthly, aether might also
be the medium through
which the force of
gravitation was transmitted.
Gravitation
Β© ABCC Australia 2015 new-physics.com
Foundation of
classical Science
In short, aether is the very
foundation of classical
science. Without the
existence of the aether, all
the development of physics
up to the nineteenth century
would have been non-solid.
Β© ABCC Australia 2015 new-physics.com
The Detection of the
Aether
In the mid nineteenth century,
physicists were working hard to
find evidences to establish the
existence of the aether.
In the late nineteenth century,
many ingenious experiments had
been carried out in an attempt to
detect the existence of the
mysterious medium.
However, the aether had been so
elusive that all the experimental
results had turned out to be
negative.
Β© ABCC Australia 2015 new-physics.com
Light through Aether
Maxwell had a bright idea.
By using common sense,
Maxwell thought that aether
to light is just like air to
sound. Just as the speed of
sound is relative to the air, so
the speed of light must be
relative to the aether.
It is hard to measure aether,
but it should be possible and
much easier to measure the
motion of light through the
aether.
Hard to detect aether
Easier to detect wave
Β© ABCC Australia 2015 new-physics.com
In his article on the aether in
the ninth edition of the
Encyclopaedia Britannica,
Maxwell put forth his idea:
β€œIf it were possible to
determine the velocity of light
by observing the time it takes
to travel between one station
and another on the earth’s
surface, we might, by
comparing the observed
velocities in opposite
directions, determine the
velocity of the aether with
respect to these terrestrial
stations.”
Β© ABCC Australia 2015 new-physics.com
Speed of Earth
However, in ordinary life, the ratio of 𝑣 to 𝑐 is so small that it is close to
zero. What about the earth? The earth is moving at a mean velocity of
29.78 or about 30 kilometres per second in its orbital motion around the
sun. This figure is a good percentage of that of light.
𝑐 + 𝑣
𝑐 βˆ’ 𝑣
𝑣 = 30 kilometrse per
second
Β© ABCC Australia 2015 new-physics.com
Addition of Velocity
The idea was simple:
When a man speeds towards
a light source, light will
come to him faster;
When he receded, it would
took light a bit longer to
reach him.*
π΄π‘π‘π‘Ÿπ‘œπ‘Žπ‘β„Žπ‘–π‘›π‘” π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦
= 𝑐 + 𝑣
𝑅𝑒𝑐𝑒𝑑𝑖𝑛𝑔 π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦
= 𝑐 βˆ’ 𝑣
*
(Today, we know that this way of
adding light velocities classically is
wrong. But the practice was
prevalent at those times.)
This is the first fault in the theory.
Β© ABCC Australia 2015 new-physics.com
Relative Aether Wind
This means that the
undetectable aether wind
would be whistling through
the earth at a velocity of 30
kilometres per second just
like still air whistling pass a
speeding car.
The air is not actually
moving. It is the feeling of
moving wind that is created
by the movement of the car.
Wind created by speed of car
Relative wind speed created
Β© ABCC Australia 2015 new-physics.com
Adding Speeds of Light
In real numerical values:
The speed of light (c) is 300,000 km/s and the speed of the Earth (v)
orbiting the Sun is 30km/s.
When light rays head upstream against the Earth movement the speed is:
𝑐 π‘Žπ‘π‘π‘Ÿπ‘œπ‘Žπ‘β„Žπ‘–π‘›π‘” = 𝑐 + 𝑣 = 300,000 π‘˜π‘š/𝑠 30 π‘˜π‘š/𝑠
When the light rays head down stream in the same direction is:
𝑐 π‘Ÿπ‘’π‘π‘’π‘‘π‘–π‘›π‘” = 𝑐 βˆ’ 𝑣 = 300,000 π‘˜π‘š/𝑠 βˆ’ 30 π‘˜π‘š/𝑠
Β© ABCC Australia 2015 new-physics.com
1878 Publication
In his 1878 Encyclopaedia Britannica
article Maxwell further suggested an
experiment to determine the velocity
of the earth through the aether
using light in the following way:
β€œSplit a ray of light, and send the two
resulting rays at right angles to each
other. Let one travel at right angles
to the motion of the earth through
the aether while the other travels in
the direction of the motion of the
earth through the aether. . . .
Incominglight
Horizontal light
Verticallight
Splitting
Earth’s motion
Aether wind created
Β© ABCC Australia 2015 new-physics.com
Reflecting & Rejoining
Maxwell Continued:
. . . Reflect the two rays back after
each has travelled exactly the same
distance to join up again and let
them interfere.”
This must mean, if you could
measure the speed of light
accurately enough, you could also
measure the speed of light
travelling upwind. When compared
the sum of the two measurements
it should be twice the wind speed.”
Horizontal light
Verticallight
Rejoining
&
Interfering
Β© ABCC Australia 2015 new-physics.com
MICHELSON’ RIVER ANALOGY
To be continued on: Episode 2.06

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The Origin of Relativity: How Maxwell's Aether Theory Led to Einstein's Revolutionary Idea

  • 1. Β© ABCC Australia 2015 new-physics.com WHERE DID ALL THESE EQUATIONS COME FROM? Cosmic Adventure Episode 2.05
  • 2. Β© ABCC Australia 2015 new-physics.com The Origin of Relativity It goes without saying that Einstein’s theory of relativity is one of the most revolutionary ideas ever produced by a human mind. But it is quite marvellous to think that this latest idea had its origin in the oldest fairy tale in ancient Greek mythology. It all started with the god aether. Aether?
  • 3. Β© ABCC Australia 2015 new-physics.com Aether The term β€˜aether’ stemmed from a Greek root meaning β€˜pure, fresh air’, β€˜upper air’ or β€˜clear sky’. Somehow in modern time, it had become the mysterious substance that pervaded the entire universe. Aether the first-born of the elemental gods. Painting By Evelyn Pickering De Morgan, Night and Sleep, 1878.
  • 4. Β© ABCC Australia 2015 new-physics.com Light – An Electromagnetic Wave In the nineteenth century, aether exploded into prominence when James Clerk Maxwell discovered that light is an electromagnetic wave. As a wave, light needs a medium for its propagation - just like sound waves which need air as their transmission medium. Maxwell thought that aether was the medium for light.
  • 5. Β© ABCC Australia 2015 new-physics.com Light Speed Constancy Secondly, the existence ofa stationary aether medium would provide a natural explanation to the constancy of light velocity without further assumptions. Electromagnetic waves
  • 6. Β© ABCC Australia 2015 new-physics.com The Absolute Frame in Classical Mechanics Thirdly, before Maxwell, the renowned physicist Isaac Newton also had aether to be the seat of his absolute reference system in space.
  • 7. Β© ABCC Australia 2015 new-physics.com Medium for Gravitation Fourthly, aether might also be the medium through which the force of gravitation was transmitted. Gravitation
  • 8. Β© ABCC Australia 2015 new-physics.com Foundation of classical Science In short, aether is the very foundation of classical science. Without the existence of the aether, all the development of physics up to the nineteenth century would have been non-solid.
  • 9. Β© ABCC Australia 2015 new-physics.com The Detection of the Aether In the mid nineteenth century, physicists were working hard to find evidences to establish the existence of the aether. In the late nineteenth century, many ingenious experiments had been carried out in an attempt to detect the existence of the mysterious medium. However, the aether had been so elusive that all the experimental results had turned out to be negative.
  • 10. Β© ABCC Australia 2015 new-physics.com Light through Aether Maxwell had a bright idea. By using common sense, Maxwell thought that aether to light is just like air to sound. Just as the speed of sound is relative to the air, so the speed of light must be relative to the aether. It is hard to measure aether, but it should be possible and much easier to measure the motion of light through the aether. Hard to detect aether Easier to detect wave
  • 11. Β© ABCC Australia 2015 new-physics.com In his article on the aether in the ninth edition of the Encyclopaedia Britannica, Maxwell put forth his idea: β€œIf it were possible to determine the velocity of light by observing the time it takes to travel between one station and another on the earth’s surface, we might, by comparing the observed velocities in opposite directions, determine the velocity of the aether with respect to these terrestrial stations.”
  • 12. Β© ABCC Australia 2015 new-physics.com Speed of Earth However, in ordinary life, the ratio of 𝑣 to 𝑐 is so small that it is close to zero. What about the earth? The earth is moving at a mean velocity of 29.78 or about 30 kilometres per second in its orbital motion around the sun. This figure is a good percentage of that of light. 𝑐 + 𝑣 𝑐 βˆ’ 𝑣 𝑣 = 30 kilometrse per second
  • 13. Β© ABCC Australia 2015 new-physics.com Addition of Velocity The idea was simple: When a man speeds towards a light source, light will come to him faster; When he receded, it would took light a bit longer to reach him.* π΄π‘π‘π‘Ÿπ‘œπ‘Žπ‘β„Žπ‘–π‘›π‘” π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦ = 𝑐 + 𝑣 𝑅𝑒𝑐𝑒𝑑𝑖𝑛𝑔 π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦ = 𝑐 βˆ’ 𝑣 * (Today, we know that this way of adding light velocities classically is wrong. But the practice was prevalent at those times.) This is the first fault in the theory.
  • 14. Β© ABCC Australia 2015 new-physics.com Relative Aether Wind This means that the undetectable aether wind would be whistling through the earth at a velocity of 30 kilometres per second just like still air whistling pass a speeding car. The air is not actually moving. It is the feeling of moving wind that is created by the movement of the car. Wind created by speed of car Relative wind speed created
  • 15. Β© ABCC Australia 2015 new-physics.com Adding Speeds of Light In real numerical values: The speed of light (c) is 300,000 km/s and the speed of the Earth (v) orbiting the Sun is 30km/s. When light rays head upstream against the Earth movement the speed is: 𝑐 π‘Žπ‘π‘π‘Ÿπ‘œπ‘Žπ‘β„Žπ‘–π‘›π‘” = 𝑐 + 𝑣 = 300,000 π‘˜π‘š/𝑠 30 π‘˜π‘š/𝑠 When the light rays head down stream in the same direction is: 𝑐 π‘Ÿπ‘’π‘π‘’π‘‘π‘–π‘›π‘” = 𝑐 βˆ’ 𝑣 = 300,000 π‘˜π‘š/𝑠 βˆ’ 30 π‘˜π‘š/𝑠
  • 16. Β© ABCC Australia 2015 new-physics.com 1878 Publication In his 1878 Encyclopaedia Britannica article Maxwell further suggested an experiment to determine the velocity of the earth through the aether using light in the following way: β€œSplit a ray of light, and send the two resulting rays at right angles to each other. Let one travel at right angles to the motion of the earth through the aether while the other travels in the direction of the motion of the earth through the aether. . . . Incominglight Horizontal light Verticallight Splitting Earth’s motion Aether wind created
  • 17. Β© ABCC Australia 2015 new-physics.com Reflecting & Rejoining Maxwell Continued: . . . Reflect the two rays back after each has travelled exactly the same distance to join up again and let them interfere.” This must mean, if you could measure the speed of light accurately enough, you could also measure the speed of light travelling upwind. When compared the sum of the two measurements it should be twice the wind speed.” Horizontal light Verticallight Rejoining & Interfering
  • 18. Β© ABCC Australia 2015 new-physics.com MICHELSON’ RIVER ANALOGY To be continued on: Episode 2.06