Does Time Slow Down in a Deep Osmium Room?

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SUMMARY

The discussion centers on the concept of gravitational time dilation in a hypothetical room made of osmium, located 10 km underground. Participants argue that the mass of the room would not significantly affect spacetime curvature or time dilation due to the Shell Theorem, which states that a spherically symmetric shell has no gravitational effect inside it. The consensus is that time would actually run faster in such a room compared to the surface of the Earth, contradicting the initial premise. The conversation emphasizes the importance of understanding gravitational potential over gravitational acceleration in relation to time dilation.

PREREQUISITES
  • Understanding of gravitational time dilation
  • Familiarity with the Shell Theorem
  • Basic knowledge of Newtonian physics
  • Concept of gravitational potential
NEXT STEPS
  • Research the implications of gravitational time dilation in different gravitational fields
  • Study the Shell Theorem and its applications in gravitational physics
  • Explore the effects of mass distribution on gravitational potential
  • Investigate the structural challenges of building pressure vessels for extreme environments
USEFUL FOR

Physicists, students of gravitational physics, and anyone interested in the effects of mass on spacetime and time dilation.

  • #31
phinds said:
So the gravitational potential at 1000Km above the Earth is less than that on the surface, thus making time run faster at the 1000Km mark.
No. The gravitational potential at 1000 km is larger. That’s why stuff gains kinetic energy as it falls.

phinds said:
And then (according to you) the gravitational potential at the center of the Earth is less than at the surface, thus making time run slower than on the surface
In exact analogy, yes.

phinds said:
despite it also being at a lower gravitational potential.
Because of, not despite.
 
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  • #32
Orodruin said:
No.
See post #28
 

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