Time dilation in a non-inertial reference frame

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Discussion Overview

The discussion revolves around the perception of time dilation and length contraction in non-inertial reference frames, particularly in the context of acceleration. Participants explore whether these effects can be observed similarly to how they are in inertial frames, and the implications of constant versus accelerating speeds.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question whether time dilation and length contraction can be perceived in non-inertial reference frames, noting the lack of a standard approach compared to inertial frames.
  • One participant expresses skepticism about the utility of analyzing non-inertial frames, suggesting that they complicate rather than clarify the understanding of these phenomena.
  • There is a discussion about the meaning of "acceleration close to c," with a participant emphasizing that regardless of past acceleration, an object does not approach the speed of light.
  • Another participant points out that for an inertial observer, time dilation of an accelerating object is determined by its momentary speed, leading to increasing time dilation as the object's speed approaches c.
  • It is noted that for a continuously accelerating rocket, more of the universe becomes invisible due to the Rindler Horizon, complicating the perception of time and space.

Areas of Agreement / Disagreement

Participants express differing views on the relevance and clarity of time dilation and length contraction in non-inertial frames. The discussion remains unresolved, with multiple competing perspectives on the topic.

Contextual Notes

Participants highlight limitations in understanding time dilation and length contraction in non-inertial frames, particularly regarding definitions and the implications of constant versus accelerating speeds. There are unresolved questions about the nature of acceleration and its effects on perception.

blueberrynerd
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Hi! :smile: Need some help here. Can we perceive time dilation and length contraction in a non-inertial reference frame? If we observe a reference frame experiencing acceleration close to c, do we see the same effects as in an inertial reference frame?
 
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There's lots of ways to perceive time dilation and length contraction in non-inertial reference frames but no standard way like there is for inertial frames and using the Lorentz Transform. Personally, I think they are a waste of time and don't solve any problem but rather create more problems.

Also, what do you mean by acceleration close to c? No matter how much you have accelerated in the past, you're still just as far away from c as you were before you started accelerating. If you mean a constant acceleration maintained for a very long time, you're also getting no closer to c.

Maybe I should ask: what is the problem you are trying to solve?
 
What I was wondering is if time dilation and length contraction are perceived at constant speed in the same way it is perceived at accelerating speeds?
 
blueberrynerd said:
What I was wondering is if time dilation and length contraction are perceived at constant speed in the same way it is perceived at accelerating speeds?

For an inertial observer studying an accelerating object, the time dilation is determined only by the momentary speed of the object. Thus, for a rocket undergoing steady one g acceleration, the inertial observer will see ever increasing time dilation as the speed gets ever closer to c (but never reaches it).

As for what the rocket sees, it is more complex. If the acceleration continues eternally, more and more of the universe becomes invisible as no light from it can catch up with the rocket. This is called a Rindler Horizon.
 
Thanks for the help! :smile:
 

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