Speed vs. time for our Galaxy and an Observer

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SUMMARY

The discussion centers on the effects of relative motion on time perception, specifically when considering the Earth, solar system, and galaxy moving at 1,000,000 miles per hour. It establishes that if an observer travels south at the same speed, they would appear stationary in the solar system's frame of reference, while in other frames, they would be in motion. The conversation emphasizes the symmetry of time dilation, where each observer perceives the other's clock as ticking slower. This highlights the fundamental principles of relativity and frames of reference in physics.

PREREQUISITES
  • Understanding of Einstein's Theory of Relativity
  • Familiarity with frames of reference in physics
  • Basic knowledge of time dilation concepts
  • Awareness of the speed of light as a universal constant
NEXT STEPS
  • Research Einstein's Theory of Special Relativity
  • Study the concept of time dilation in different frames of reference
  • Explore the implications of relative motion on time perception
  • Learn about the role of the speed of light in relativistic physics
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Students of physics, educators explaining relativity, and anyone interested in the implications of motion on time perception.

zuz
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Lets just say for the sake of argument that the earth, sun, solar system, galaxy were all moving due north at 1,000,000 miles an hour. If you were to travel due south at 1,000,000 mph you would basically be not moving at all. How would this affect time for you or anyone observing you?
 
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zuz said:
Lets just say for the sake of argument that the earth, sun, solar system, galaxy were all moving due north at 1,000,000 miles an hour. If you were to travel due south at 1,000,000 mph you would basically be not moving at all. How would this affect time for you or anyone observing you?
Yes, there is a frame of reference such that if the solar system were moving at N mph in one direction and you were moving at N mph in the opposite direction IN THE SOLAR SYSTEM'S FRAME OF REFERENCE you would be stationary in the first FOR. So what? That's how motion works.

EDIT: If you mean that the solar system and you are moving in the SAME frame of reference then your statement that you would not be moving makes no sense, as that is NOT how motion works.
 
phinds said:
That's how motion works.
There is also this (tongue-in-cheek) theorem

Theorem
The center of mass of the Universe is at absolute rest.
Proof (reductio ad absurdum)
If it moved, where would it go?"
 
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zuz said:
Lets just say for the sake of argument that the earth, sun, solar system, galaxy were all moving due north at 1,000,000 miles an hour.
You're just picking an arbitrary frame of reference here, but ok.
zuz said:
If you were to travel due south at 1,000,000 mph you would basically be not moving at all.
No, you'd be stationary in the frame of reference you chose arbitrarily earlier. In all other frames you're moving.
zuz said:
How would this affect time for you or anyone observing you?
Just the same as always. Your clocks look normal to you and everyone else's (well, those in motion relative to you) tick slow. Everyone else says their clocks look normal and yours tick slow. It's symmetric. No, that's not a contradiction.
 
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