General/special relativity-a measurement problem

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SUMMARY

The discussion centers on the measurement problem in general and special relativity, specifically regarding the distinction between a body in a revolving system versus one undergoing constant acceleration. Participants explore the use of non-local experiments involving two measurement instruments to determine the motion of celestial bodies, such as the Moon around the Earth. Key tools mentioned include accelerometers and clocks to measure proper time differences. The Coriolis effect is also referenced as a phenomenon observable from an external frame of reference, emphasizing the complexities of acceleration in rotating systems.

PREREQUISITES
  • Understanding of general relativity (GR) and special relativity (SR)
  • Familiarity with the Coriolis effect and its implications in rotating frames
  • Knowledge of accelerometers and their application in measuring motion
  • Concept of proper time and its significance in relativistic physics
NEXT STEPS
  • Research the implementation of non-local experiments in relativity
  • Study the mathematical formulation of the Coriolis effect in rotating systems
  • Explore the use of accelerometers in astrophysical measurements
  • Investigate the relationship between proper time and gravitational potential in GR
USEFUL FOR

Physicists, students of relativity, and anyone interested in the complexities of motion in gravitational fields and rotating systems.

ofer
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1. The problem statement: all variables and given/known

Describe a Non-Local Expirement that will lead to the conclusion that a body is in fact in a revolving system and not a system of constant acceleration. Non-Local meaning that the expirement uses 2 measurement instruments at 2 different points in space or 1 instrument with a segnificant size. describe what these instruments are and where they are placed.


2. this was given as a final part of a question involving describing the proper time of a body in a revolving system with SR due to gravitational potential. meaning not yet gotten to GR.




3. The Attempt at a Solution :
I tried to think of this something like the moon revolving around the earth, where the moon is the revolving system captured in the gravitational pull of the earth. somewhere 2 measurement instruments must be placed to variffy that the moon is revolving around the Earth and not being accelerated by some other constant force.
i'm really lost though on how to do this. i have a pretty good notion that an accelerometer should be used somewhere, or maybe clocks and something to do with proper time diffrences between the systems... really lost/

appriciate any kind o help.
thanks.
 
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hmmm, so you meen a viewer outside of the rotating frame of reference would observe the coriolis effect.
thats true' although it feels kind of like cheating, because one could say that a viewer outside the system would actually see the object rotating..
how would he measure it though?
 
It's NOT a matter of an "external observer". If you and another person are moving at a constant velocity, throwing a ball back and forth would be no different that if you we both stationary (relative to the "outside"). But if you are accelerating, because acceleration is NOT "relative" strange things may happen. In particular, if you and the other person are rotating around a point between you, throwing a ball toward the other person, you and the other person will see that ball curve away from the other person.
 

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