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thoughtgaze
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is proper time invariant? proof? thanks...
thoughtgaze said:is proper time invariant? proof? thanks...
thoughtgaze said:is proper time invariant? proof? thanks...
sylas said:Yes, it is invariant; by almost by definition. Proper time is the time measured by a clock in a given world line. What you can prove are that the co-ordinate transforms conserve proper time.
Here is a proof for special relativity, that proper time is invariant under the Lorentz transformation.
Yes, there is strong evidence that supports the concept of proper time invariance. This evidence comes from various experiments, such as the Hafele-Keating experiment, which demonstrated the effect of time dilation on moving clocks, and the Pound-Rebka experiment, which showed the gravitational redshift of light due to differences in gravitational potential.
The theory of relativity, specifically the special theory of relativity, explains proper time invariance as a consequence of the postulate that the speed of light is constant in all inertial frames of reference. This means that the passage of time can appear to be different for observers in different frames of reference, but the proper time, which is the time measured by a clock in its own frame of reference, remains the same.
According to the theory of relativity, proper time invariance is a fundamental principle and cannot be violated. However, there are some theories that suggest the possibility of violations under extreme conditions, such as in the presence of strong gravitational fields or in the early universe.
Proper time invariance is closely related to the concept of spacetime in the theory of relativity. Spacetime is a four-dimensional space that combines the three dimensions of space and the dimension of time. Proper time is the time measured by a clock in its own frame of reference, and it is a crucial component in the formulation of spacetime.
Proper time invariance is important in modern physics because it is a fundamental principle that is central to the theories of relativity. It has been extensively tested and confirmed by numerous experiments, and it has significant implications for our understanding of time, space, and the nature of the universe. Proper time invariance is also essential for the development of technologies, such as GPS, that rely on the precise measurement of time and its variation due to different frames of reference.