I want a good reference to a discussion of the meaning of "the speed of light is constant"

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SUMMARY

The discussion centers on the interpretation of the phrase "the speed of light is constant," particularly in the context of General Relativity (GR). Participants clarify that while the speed of light is invariant along null worldlines, it is not universally constant across curved spacetime. The metric tensor components, specifically ##g_{tt}## and ##g_{xx}##, are crucial for defining the coordinate speed of light, which varies in an expanding universe. The conversation emphasizes the distinction between local invariance and global coordinate dependence, highlighting the importance of light cones over the numerical value of the speed of light.

PREREQUISITES
  • Understanding of General Relativity (GR) principles
  • Familiarity with metric tensors and their components, specifically ##g_{tt}## and ##g_{xx}##
  • Knowledge of spacetime diagrams and null worldlines
  • Basic grasp of the Michelson-Morley experiment (MMX) and its implications
NEXT STEPS
  • Research the implications of metric tensor variations in curved spacetime
  • Study the concept of light cones and their invariance in GR
  • Explore the Michelson-Morley experiment and its conclusions regarding light speed
  • Investigate the differences between local and global measurements of speed in GR
USEFUL FOR

Physicists, students of General Relativity, and anyone interested in the foundational concepts of light speed and spacetime geometry.

  • #61
pervect said:
Consider the Milne universe, if you're aware of it. https://en.wikipedia.org/wiki/Milne_model

It expands, but in the region of validity of the Milne universe, t>0, there is a diffeomorphism to the standard "Minkowskii" flat space-time of special relativity which does not expand.

My not-very precise resolution of this issue is to conclude that expansion, per se, does not cause physical effects. It's basically the result of a coordinate choice, though the expanding coordinates are lacking in complete coverage of the space-time.

However, acceleration or deacceleratio of the expansion DOES have physical effects. But these effects can be analyzed in terms of the effects of the matter, dark matter, energy, or dark energy that is causing the rate of expansion to accelerate or deaccelerate in the first place. The cause can ultimately be traced back to normal and dark matter/energy distributions.

Fore example, without dark energy, "gravity" causes the expansion of the universe to de-accelerate (slow down), this gravity has physical effects. Dark energy is the only one of the four that causes an accelerating expansion.

Orodruin wrote an article on some of this recently, with much more precision than what I wrote above, but I wasn't able to locate it.
Thanks, very helpful.
 

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