Time Dilation: Inside a Rotating Sphere of Light

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Discussion Overview

The discussion revolves around the concept of time dilation in the context of a rotating sphere of light. Participants explore hypothetical scenarios involving a stationary observer inside the sphere and the implications of the sphere rotating at or near the speed of light.

Discussion Character

  • Exploratory, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant questions whether time would differ for someone inside a non-rotating chair within a rotating sphere moving at the speed of light compared to observers outside the sphere.
  • Another participant asserts that time would not be different in this scenario.
  • A follow-up question is posed regarding the implications of rotating with the sphere at the speed of light and whether time would differ in that case.
  • One participant clarifies that "rotating at the speed of light" should be interpreted as rotating at a speed very close to the speed of light, emphasizing that mass prevents reaching the speed of light.
  • It is noted that speed must be defined relative to a reference frame, with distinctions made between the chair's stationary position and the sphere's rotation relative to outside observers.
  • Another participant explains that while one cannot rotate at the speed of light, high rotational speeds could lead to varying time dilation effects for different parts of the rotating object, suggesting that precise measurements could be made using accurate clocks.

Areas of Agreement / Disagreement

Participants express disagreement regarding the feasibility of rotating at the speed of light and the implications of such a scenario on time dilation. There is no consensus on the initial question about time differences for observers inside and outside the sphere.

Contextual Notes

The discussion includes assumptions about the nature of speed and time dilation, particularly regarding the limitations of mass and the definitions of rotational versus linear speed. The mathematical implications of these scenarios remain unresolved.

Who May Find This Useful

This discussion may be of interest to individuals exploring concepts of relativity, time dilation, and the effects of high-speed rotation in theoretical physics.

vikram chawan
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please can u resolve my doubt regarding this ..."What if i fixed a chair inside a sphere and i am sitting on it and it is not rotating whereas the sphere is rotating with the speed of light ?" "Will time be different for me inside the sphere and for the people outside?"
 
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But what if i am rotating with the speed of light with the sphere?will the time be different then??
 
... taking "rotating at the speed of light" to mean "rotating with a speed very close to the speed of light": I agree with russ_watters.
realize you cannot rotate at the speed of light, since you have mass.

Further, when you talk about speed, it is important to say what the speed is relative to.
In the first case we can talk about the speed of the sphere relative to the chair, since you specified that it was stationary.

In the second case, you are spinning in the frame of reference of "everyone else" (i.e. outside the sphere), and we assume that "everyone else" are inertial observers.
You should be able to do the math for that.
 
vikram chawan said:
But what if i am rotating with the speed of light with the sphere?will the time be different then??
There is no such thing as "rotating with the speed of light". The speed of light is a linear speed, not a rotational rate (and yes, as Simon says, you can't reach the speed of light, just something close to it...if you have the right apparatus). However, if you were to spin at a high rate (without disintegrating), different parts would experience different time dilation based on the particular linear velocity they had. We have clocks that are accurate enough they could be mounted on/next to a centrifuge to measure that.
 
Thank you so much for the answers...
 

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