A 1995 paper by Ted Jacobsen uses this inequality and the laws of thermodynamics to derive the Einstein field equations. For 10 points each:
[10h] Name this inequality. This inequality can be derived through proof by contradiction by demonstrating that the second law of thermodynamics would be broken if a box that violated this inequality were lowered into a black hole.
ANSWER: Bekenstein bound [or Bekenstein limit]
[10e] The Bekenstein bound limits the amount of this quantity contained in a finite object; otherwise, dropping the object in a black hole will cause this quantity to decrease for the universe, violating the second law of thermodynamics.
ANSWER: entropy [or information]
[10m] Bekenstein predicted that black holes themselves have entropy directly proportional to this quantity for their event horizons. The scaling of entropy with this quantity inspired the holographic principle.
ANSWER: surface area [prompt on size of event horizon]
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