Spacetime & Rotating Planet: Velocities Impact

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Discussion Overview

The discussion explores the effects of spacetime on a rotating planet, particularly focusing on how velocities at different points (such as the center versus the surface) might influence time perception and physical properties. The conversation includes theoretical considerations and speculative ideas related to spacetime and rotation.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that spacetime does not affect different parts of the same object differently, suggesting that a planet has a single frame of spacetime reference regardless of its rotation.
  • It is argued that time is perceived differently based on reference frames, but the planet itself experiences time uniformly from core to surface, independent of its motion.
  • A later reply challenges the previous claims, indicating that the initial assertions may be incorrect and referencing a quantitative analysis for further examination.
  • One participant speculates about the possibility of cumulative effects of rotation causing the Earth’s matter to behave like a wound spring, questioning if a hypothetical stick spun at the same rate as the Earth would appear as a spiral.
  • Another participant expresses confusion over the mathematical analysis related to gravitational time effects and seeks clarification on whether certain examples hold true.

Areas of Agreement / Disagreement

Participants express differing views on how spacetime and rotation interact, with some asserting a uniform experience of time across the planet and others questioning this perspective. The discussion remains unresolved with multiple competing views present.

Contextual Notes

Participants acknowledge the complexity of gravitational time effects and the challenges in understanding the mathematical implications, indicating that assumptions and definitions may not be fully addressed.

PaulRacer
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What affect does spacetime have on a rotating planet? (Velocities in the center differ from surface velocities)
 
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I don't know the answer but here's what i think the answer might be...

Spacetime does not, and can not, affect different parts of the same object differently.

Here’s why I think it can’t.

Time is relative based on a frame of reference. Which means, a planet (the planet) has only 1 frame of spacetime reference – regardless if it is spinning or not. It experiences time as whole – as a single frame.

The only way time differs is when spacetime is observed from, at least, two reference frames. It’s only the perception of time that differs – not time itself. Time doesn’t really change the way you’re thinking it does, like energy. The only thing that changes is how time is perceived – relatively speaking.

In other words, a person standing on the surface of the Earth will perceive time at a slower rate than a person at the center – but it’s only perception. This does not imply that the Earth itself is experiencing different times. It only implies that, from the reference frame of someone on the earth’s surface comparing itself against the frame of person in the core, that time slows down.

Bottom line, time is experienced by Earth at a constant rate, surface to core, - not a varible rate. This is regardless of the Earth "standing still", rotating, orbiting, or arching through the cosmos.
 
LawrenceM said:
I don't know the answer but here's what i think the answer might be...

Spacetime does not, and can not, affect different parts of the same object differently.

Here’s why I think it can’t.

Time is relative based on a frame of reference. Which means, a planet (the planet) has only 1 frame of spacetime reference – regardless if it is spinning or not. It experiences time as whole – as a single frame.

The only way time differs is when spacetime is observed from, at least, two reference frames. It’s only the perception of time that differs – not time itself. Time doesn’t really change the way you’re thinking it does, like energy. The only thing that changes is how time is perceived – relatively speaking.

In other words, a person standing on the surface of the Earth will perceive time at a slower rate than a person at the center – but it’s only perception. This does not imply that the Earth itself is experiencing different times. It only implies that, from the reference frame of someone on the earth’s surface comparing itself against the frame of person in the core, that time slows down.

Bottom line, time is experienced by Earth at a constant rate, surface to core, - not a varible rate. This is regardless of the Earth "standing still", rotating, orbiting, or arching through the cosmos.

This is wrong.

For a quantitative analysis, see

https://www.physicsforums.com/showthread.php?p=1543402#post1543402.
 
Is it possible that this would be cumulative and could possibly wind the Earth matter like a spring? To put it another way, if you had a stick the length of the diameter of the Earth and spun it at the same rate for the same amount of time as the earth, would the stick appear as a spiral? (I am wondering if this is why our galaxy looks the way it does.)
 
I know these examples are different because of gravitational time effects but would either be true? I attempted to understand the mathematical analysis but came up waaaayyyy short.(2x9=4 right?) Any help appreciated.
 

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