Speed of light in non inertial frames

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Discussion Overview

The discussion revolves around the behavior of the speed of light in non-inertial (accelerating) frames as compared to inertial frames, particularly in the context of special relativity. Participants explore the implications of acceleration on the perception of light's speed and the effects of different reference frames.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the constancy of the speed of light (c) in accelerating frames and questions whether observers in such frames perceive c as constant.
  • Another participant suggests that the equivalence principle implies that an accelerating frame behaves like a local gravitational field, affecting the rate at which clocks run, but asserts that locally, the speed of light remains c.
  • A third participant emphasizes that the invariance of the speed of light is a postulate of special relativity, stating it holds true without exceptions, except when considering the medium through which light travels.
  • A later reply reiterates that a stationary observer will see a moving observer traveling at 0.99c and light traveling at c, suggesting that both observers' speeds are perceived differently depending on the reference frame.

Areas of Agreement / Disagreement

Participants express differing views on how light behaves in accelerating frames, with some asserting the constancy of c and others highlighting complexities introduced by acceleration. The discussion remains unresolved regarding the implications of acceleration on the perception of light's speed.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about reference frames, the definitions of acceleration, and the mathematical expressions governing light's path in non-inertial frames, which are not fully explored.

obnoxiousris
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sorry to bring this up again, i have just started special relativity and the constancy of c is a bit confusing, i get how c is the same in all inertial frames but what about accelerating frames? do observers in acceleration still see c as a constant? i have seen many forum posts and they always have two people saying the opposite things, can somebody set me straight on this?

also, if the observer is moving at 0.99c and he will see c still being c, but what about a stationary observer looking at both? will he see both of them traveling almost at the same speed?
 
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It really depends on which clocks and rulers you use. If you have an accelerating frame, by the equivalence principle you'll have something that looks like a local gravitational field. This means that clocks that are "up" higher in this field will run faster than clocks that are "lower" - they won't all run at the same rate.

If you use local clocks and local rulers, things are simple - the speed of light is always 'c', it doesn't matter whether you accelerate or not.

However, you will not find that the path that light travels is given by the equation x=ct in an accelerated frame - the coordinate expression for light's path is more complex than that.
 
Light always travels at C in a vacuum. The postulate of SR states the invariance of the speed of light. This invariance is without caveats barring the medium traveled through.
 
obnoxiousris said:
sorry to bring this up again, i have just started special relativity and the constancy of c is a bit confusing, i get how c is the same in all inertial frames but what about accelerating frames? do observers in acceleration still see c as a constant? i have seen many forum posts and they always have two people saying the opposite things, can somebody set me straight on this?
Read this: https://www.physicsforums.com/showpost.php?p=2885196&postcount=4

also, if the observer is moving at 0.99c and he will see c still being c, but what about a stationary observer looking at both? will he see both of them traveling almost at the same speed?
Yes. The 'stationary' observer will see the 'moving' observer moving at 0.99c and the light moving at c.
 
thanks guys, really helped!
 

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