What is the proper time of a vertically moving inertial clock?

  • #1
KDP
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What is the elapsed proper time of vertically moving inertial clock in Schwarzschild geometry?
Hi. I am looking for an equation for the round trip elapsed proper time of a clock that is initially moving vertically straight up with a given initial velocity, reaches apogee and then returns to the starting location under gravity. I would like to use the external Schwarzschild geometry of a non rotating black hole to keep things as simple as possible. At all times during the the experiment the clock is moving inertially, so no rockets or thrusters involved (and no horizontal motion allowed).
 
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  • #2
Is there any reason you can't do the calculation yourself?
 
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Likes berkeman
  • #3
PeroK said:
Is there any reason you can't do the calculation yourself?
Getting too old, I guess... :confused:
 

1. What is an inertial clock?

An inertial clock is a hypothetical clock that is used to measure time in a reference frame that is not accelerating. In other words, it is a clock that is not affected by external forces and remains at a constant velocity.

2. How does a vertically moving inertial clock work?

A vertically moving inertial clock works by using a pendulum or a spring mechanism to measure time. As the clock moves vertically, the pendulum or spring will oscillate at a constant rate, allowing for the measurement of time.

3. What is the proper time of a vertically moving inertial clock?

The proper time of a vertically moving inertial clock is the time measured by the clock itself. This is the time experienced by an observer who is at rest with the clock and is not affected by any external forces.

4. How does the proper time of a vertically moving inertial clock differ from the time measured by an observer at rest?

The proper time of a vertically moving inertial clock will be different from the time measured by an observer at rest due to the effects of time dilation. This is a phenomenon predicted by Einstein's theory of relativity, where time appears to pass slower for objects in motion compared to those at rest.

5. Why is it important to consider the proper time of a vertically moving inertial clock?

Considering the proper time of a vertically moving inertial clock is important in understanding the effects of time dilation and how it can impact measurements and observations in different reference frames. It is also crucial in accurately measuring and understanding the concept of time in physics and other scientific fields.

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