Gravitational Time and Length Change, Looking for mass formula

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SUMMARY

The discussion centers on the misconception that mass changes in a gravitational field, with participants clarifying that mass remains constant regardless of gravitational effects. Key concepts such as gravitational time dilation and length contraction are mentioned, emphasizing that while these phenomena affect the perception of time and size for objects near massive bodies, the intrinsic mass of an object, such as a 1 kg ball, does not change. The Planck time and Planck length are also referenced, but it is established that they do not equate to the physical dimensions or proper time of objects.

PREREQUISITES
  • Understanding of gravitational time dilation
  • Familiarity with length contraction in physics
  • Knowledge of Planck time and Planck length
  • Basic principles of general relativity
NEXT STEPS
  • Research the principles of general relativity and their implications on mass and gravity
  • Explore the mathematical formulations of gravitational time dilation
  • Investigate the concept of length contraction in relativistic physics
  • Examine the relationship between Planck units and classical physics measurements
USEFUL FOR

Students of physics, researchers in gravitational studies, and anyone interested in the effects of gravity on time and space will benefit from this discussion.

mcjosep
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Hi, Just curious if anyone knows of a formula that would show how mass changes in a gravitational field? I have seen the formulas for gravitational time dilation and length contraction (which are rather similar) and was wondering is mass changes the same way.

Thanks
 
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Mass does not change in a gravitational field.
 
mcjosep said:
I have seen the formulas for gravitational time dilation and length contraction (which are rather similar)

What formulas have you seen for "gravitational length contraction"?
 
Just to pick an extreme, a 1kg ball is a meter away from the event horizon of a black hole. So, to an outside observer, time is almost not moving at all for the 1 kg ball and its size has shrunk to almost a point due to gravitational length and time dilation but the ball would still be 1 kg?
 
PeterDonis said:
What formulas have you seen for "gravitational length contraction"?

hmm i just figured since Planck time and Planck length are related by a factor of c that they would change the same.
 
mcjosep said:
its size has shrunk to almost a point due to gravitational length

What are you basing this on? What formula? Do you have a reference?

mcjosep said:
i just figured since Planck time and Planck length are related by a factor of c that they would change the same.

The Planck time and Planck length are not the same as the length of an object or its proper time.
 

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