How does velocity affect the rate of time?

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SUMMARY

The discussion centers on the concept of Time Dilation as it relates to relative velocity, primarily through the lens of Einstein's theory of Special Relativity. Participants emphasize that Time Dilation is a mathematical consequence of the invariant speed of light, which remains constant across different observer frames. The geometrical interpretation of space-time is highlighted, where the advance in space-time is constant, and the effects of velocity on time are projections of this constant. The conversation concludes that while the mechanisms behind Time Dilation from velocity are not fully understood, they are accepted as fundamental properties of physics.

PREREQUISITES
  • Understanding of Special Relativity principles
  • Familiarity with the concept of space-time geometry
  • Knowledge of the invariant speed of light
  • Basic grasp of mathematical modeling in physics
NEXT STEPS
  • Study the mathematical derivations of Time Dilation in Special Relativity
  • Explore the concept of geodesics in curved space-time
  • Investigate the implications of length contraction on observer measurements
  • Examine experimental evidence supporting Time Dilation effects
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Physicists, students of relativity, and anyone interested in the fundamental principles of time and space in the context of modern physics.

Salbris
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Simple question, but I don't expect a simple answer.

What are the causes of Time Dilation relative Velocity? I can swallow the fact that gravitational fields can change the speed of time locally. But velocity?

What the process behind Time Dilation related to velocity?


I can never seem to get this question answered no matter what site I search. I'm sorry this is my one and only post but this is a burning question of mine.

Is it just some math or are there practical reasons for Time Dilation from Velocity?

- Thanks in Advance.
 
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Salbris said:
What the process behind Time Dilation related to velocity?
Relativity doesn't describe any process or cause for it. It just follows from observed empirical facts when they are assumed to hold in general. The closest you get to a cause is a geometrical interpretation, where the advance in space-time is constant, and the speeds trough space & time are just projections of it:
http://www.adamtoons.de/physics/relativity.swf
 
A.T. said:
The closest you get to a cause is a geometrical interpretation, where the advance in space-time is constant, and the speeds trough space & time are just projections of it:
http://www.adamtoons.de/physics/relativity.swf

Could you elaborate please? What is this length contraction? Is this based on the observers view of the object?
 
Salbris said:
Could you elaborate please? What is this length contraction? Is this based on the observers view of the object?
Yes length contraction tells you how much shorter the moving object is for the observer. In this geometrical interpretation the length measured by the observer it is the proper length (measured in the objects frame) projected onto the space dimension.

Time dilation is similar: The objects advances always at c in space-time, but only the projection of that advance onto the proper-time dimension determines how fast the object ages in the observer's frame.
 
A.T. said:
Time dilation is similar: The objects advances always at c in space-time, but only the projection of that advance onto the proper-time dimension determines how fast the object ages in the observer's frame.

Could this then be a cause of sorts? It seems like a sort of mathematical property of space-time interacting with matter, but am I right to say this is the cause? Or is it the effect?
 
Salbris said:
but am I right to say this is the cause? Or is it the effect?
Would it make a difference for experiments how you call it? If not, it's not physics, just linguistics.
 
A.T. said:
Would it make a difference for experiments how you call it? If not, it's not physics, just linguistics.

That's what I'm asking. So right now scientists just sort of accept Time Dilation from velocity, just based on math and some experiments? Shouldn't there be some searching as to the mechanisms behind it?
 
Salbris said:
So right now scientists just sort of accept Time Dilation from velocity, just based on math and some experiments?
That is sort of what scientists usually do.
Salbris said:
Shouldn't there be some searching as to the mechanisms behind it?
What do you mean by "mechanism"?
 
A.T. said:
That is sort of what scientists usually do.

What do you mean by "mechanism"?

The cause...

If someone asks what causes gravity. We can now say, it's a massive object like a planet that warps the space-time, but what about Time Dilation from Velocity? Is it just some fundamental process we need to just learn to accept "just happens"?
 
  • #10
Salbris said:
The cause...
If someone asks what causes gravity. We can now say, it's a massive object like a planet that warps the space-time, but what about Time Dilation from Velocity?
Warped space-time is a geometrical model, just like the one I gave you for time dilation.
 
  • #11
Salbris said:
Simple question, but I don't expect a simple answer.

What are the causes of Time Dilation relative Velocity? I can swallow the fact that gravitational fields can change the speed of time locally. But velocity?

What the process behind Time Dilation related to velocity?


I can never seem to get this question answered no matter what site I search. I'm sorry this is my one and only post but this is a burning question of mine.

Is it just some math or are there practical reasons for Time Dilation from Velocity?

- Thanks in Advance.
One thing is Time Dilatation you referred is a result of math from special relativity equations. Using those equation we can explain one simple but important observation that the speed of light is the same regardless of the observer frame speed. Then you may ask can we derive the special relativity equation from more fundamental principle ?
 
  • #12
v2kkim said:
One thing is Time Dilatation you referred is a result of math from special relativity equations. Using those equation we can explain one simple but important observation that the speed of light is the same regardless of the observer frame speed. Then you may ask can we derive the special relativity equation from more fundamental principle ?

Can we?
 
  • #13
v2kkim said:
Then you may ask can we derive the special relativity equation from more fundamental principle ?
Salbris said:
Can we?
Depends what you accept as a "principle" or when you stop asking "but why is that so?". If you accept geodesics in curved space-time as the "cause" of gravity, why cannot you accept a constant advance rate in space-time as the "cause" for time dilation from relative movement? I don't see any qualitative difference here. In fact both principles are part of the same geometric model.
 

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