Holographic Principle: Entropy & Area for Observers Moving w/BH

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SUMMARY

The discussion centers on the implications of the Holographic Principle regarding black hole entropy and the area of the event horizon. It establishes that the entropy, S, of a black hole is proportional to the area, A, of its horizon. The conversation raises critical questions about observers moving with constant velocity versus those accelerating relative to the black hole, highlighting the invariant nature of entropy versus the non-invariant nature of area. The concept of Unruh radiation is introduced as a potential factor in understanding these dynamics.

PREREQUISITES
  • Understanding of the Holographic Principle in theoretical physics
  • Familiarity with black hole thermodynamics
  • Knowledge of general relativity and observer effects
  • Concept of Unruh radiation and its implications
NEXT STEPS
  • Research the mathematical formulation of the Holographic Principle
  • Explore black hole thermodynamics and its implications for entropy
  • Study the effects of acceleration on observers in general relativity
  • Investigate Unruh radiation and its relevance to black hole physics
USEFUL FOR

The discussion is beneficial for theoretical physicists, cosmologists, and students of advanced physics who are exploring the intersections of entropy, black hole dynamics, and the implications of different observer states in relativistic contexts.

touqra
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If the entropy, S of a black hole is proportional to the area of the horizon, A, then, what about an observer moving with a constant velocity, v with the BH? Another observer moving with a constant acceleration with respect to the BH?
After all, entropy is an invariant but area is not. So, isn't this a problem?
 
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Unruh radiation?
 

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