Relativity Questions on Motion Limits

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SUMMARY

This discussion centers on the implications of relativity regarding motion limits and the concept of rest. It establishes that if an object were to move at the speed of light (c), time would appear to stand still from the perspective of the universe. The conversation explores whether a particle can exist at a perfect point of rest, moving solely through time, and concludes that in special relativity (SR), the maximum rate of observable time is limited to one second of proper time per second of coordinate time, indicating that a clock cannot tick faster than this rate.

PREREQUISITES
  • Understanding of special relativity (SR)
  • Familiarity with the concept of 4-velocity
  • Knowledge of time dilation and its effects
  • Basic grasp of the speed of light as a fundamental constant
NEXT STEPS
  • Research the implications of time dilation in special relativity
  • Explore the concept of 4-velocity in greater detail
  • Study the effects of absolute zero on particle motion
  • Investigate the philosophical implications of time as a dimension in physics
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Physicists, students of theoretical physics, and anyone interested in the fundamental principles of motion and time in the context of relativity.

KevinMWHM
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If I could move at c (yeah yeah, I know I can't), the universe would see my watch at a standstill. I can attribute this to placing all my energy into going forward in space leaving no room for moving forward in time.

But does relativity tell me that the opposite end has a "limit" as well? Can a particle be at a perfect point of rest so that it could be moving only in time? Is it possible for an object to be at a perfect point of rest?

A different question looking for the same type of answer; What is, or is there, a limit to how fast observable time can be moving?



I tried to think of a thought experiment to play this out, but could not figure out how to get an object to be at complete rest except for an atom, at absolute zero, in a vacuum, in a static universe, with no gravitational force to act upon it.
 
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KevinMWHM said:
If I could move at c (yeah yeah, I know I can't), the universe would see my watch at a standstill. I can attribute this to placing all my energy into going forward in space leaving no room for moving forward in time.

But does relativity tell me that the opposite end has a "limit" as well? Can a particle be at a perfect point of rest so that it could be moving only in time? Is it possible for an object to be at a perfect point of rest?

Velocities v are only defined between two observers. So then you could ask why this is not the case for the speed of light? That's because the speed of light is basically the norm of the 4-velocity and is a fundamental constant of nature. So every observer moves "with the speed of light through spacetime". How the components of this 4-velocity decompose into a temporal and spatial part depends on the relative motion of the observer and the object of interest.
 
KevinMWHM said:
But does relativity tell me that the opposite end has a "limit" as well? Can a particle be at a perfect point of rest so that it could be moving only in time? Is it possible for an object to be at a perfect point of rest?

A different question looking for the same type of answer; What is, or is there, a limit to how fast observable time can be moving?
Yes. The limit is 1 second of proper time per second of coordinate time, a clock cannot tick faster than that in SR. In that case you are at rest and therefore "moving" completely through time and not through space.
 

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