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No. The gravitational potential at 1000 km is larger. That’s why stuff gains kinetic energy as it falls.phinds said:
In exact analogy, yes.phinds said:
Because of, not despite.phinds said:
Does Time Slow Down in a Deep Osmium Room?
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Discussion Overview
The discussion revolves around the concept of time dilation in a hypothetical room made of osmium located 10 km underground. Participants explore whether the mass of the room, combined with the Earth's gravity, could result in a noticeable difference in the passage of time compared to the surface of the Earth. The conversation touches on theoretical implications, gravitational effects, and the application of the Shell Theorem.
Discussion Character
- Exploratory
- Debate/contested
- Technical explanation
Main Points Raised
- One participant proposes that a room made of osmium at a significant depth could bend spacetime enough to slow down time.
- Others argue that the difference in time dilation due to the room's mass would be negligible compared to the effects of Earth's gravity alone.
- Some participants question the applicability of the Shell Theorem, suggesting that it may not hold in this scenario due to the non-spherical symmetry of Earth's mass distribution.
- A later reply suggests that gravitational time dilation depends on the depth in the gravitational potential well rather than the magnitude of gravitational acceleration.
- Another participant speculates about the possibility of using a denser material than osmium, questioning if such a material could yield different results.
- Some participants emphasize that a room made of neutron star material would not work as intended due to the Shell Theorem and the extreme conditions involved.
- There is a discussion about how gravity behaves at different depths within the Earth, noting that gravity does not simply decrease as one goes deeper.
Areas of Agreement / Disagreement
Participants express differing views on the effects of a dense room on time dilation, with no consensus reached. Some maintain that the mass of the room would not significantly alter time flow, while others speculate about the implications of using different materials.
Contextual Notes
Participants highlight limitations in applying the Shell Theorem to this scenario, noting that the theorem's assumptions may not hold due to the Earth's density profile and the specific configuration of the room.
Who May Find This Useful
This discussion may be of interest to those exploring concepts of general relativity, gravitational effects, and theoretical physics, particularly in relation to time dilation and spacetime curvature.
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