Theories Exploring Constancy of c: Michelson, Maxwell's Eqns

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In summary, the constancy of the speed of light is a postulate that was initially guided by the Michelson experiment and Maxwell's equations. While there are no specific theories that have this fact as an outcome, it has been observed that there is an invariant speed from the principle of relativity alone. This speed can be either infinite (resulting in Newton's theory) or finite (resulting in Einstein's theory). Additionally, the fact that photons are massless and must travel at this invariant speed further reinforces the constancy of the speed of light. Therefore, the constancy of the speed of light is a consequence of something deeper and is not actually necessary, as Einstein used it to derive relativity.
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rumborak
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I understand that the constancy of c is a postulate, back in the day guided by the Michelson experiment and Maxwell's equations. I was wondering, are there any (speculative) theories out there that have this fact as an outcome of something deeper/more basic?
 
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You can arrange things somehow that the speed of light turns out to be constant. Read "Special Relativity in general frames" by Eric Gourgoulhon.
 
  • #3
You can show that there is an invariant speed from the principle of relativity alone (here). If you let that invariant speed be infinite you get Newton; if you let it be finite you get Einstein. The speed of light has not been mentioned yet.

You can then observe that photons are massless and that they must therefore travel at that invariant speed. Otherwise you get infinite accelerations for any applied force.

In that sense, the constancy of the speed of light is already a consequence of something else. Einstein used it to derive relativity, but it isn't actually necessary.
 
  • #4
Thank you! That is a fascinating paper, and at a level I can understand too it seems.
 

Related to Theories Exploring Constancy of c: Michelson, Maxwell's Eqns

1. What is the significance of Michelson's experiments in exploring the constancy of c?

Michelson's experiments were groundbreaking in their exploration of the constancy of the speed of light (c). He used an interferometer to measure the speed of light in different directions, and found that it stayed constant regardless of the direction or the motion of the Earth. This was a key piece of evidence for Einstein's theory of special relativity.

2. How do Maxwell's equations relate to the constancy of c?

Maxwell's equations, which describe the behavior of electromagnetic fields, also play a crucial role in understanding the constancy of c. These equations show that the speed of light is determined by fundamental properties of the vacuum, and is not affected by the motion of the source or observer.

3. Can the constancy of c be explained by any other theories?

There have been various attempts to explain the constancy of c through alternative theories, but none have been able to fully account for the results of Michelson's experiments and the predictions of special relativity. The evidence strongly supports the idea that the speed of light is constant in all inertial reference frames.

4. How does the concept of time dilation support the constancy of c?

One of the key implications of the constancy of c is time dilation, which is a phenomenon where time appears to pass slower for objects moving at high speeds. This effect has been observed and confirmed in numerous experiments, providing further evidence for the constancy of c and the validity of special relativity.

5. What are the practical applications of understanding the constancy of c?

Understanding the constancy of c has led to countless technological advancements, including the development of GPS systems, satellite communications, and particle accelerators. It also plays a crucial role in modern physics, helping to explain phenomena such as black holes and the behavior of subatomic particles.

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