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Quantum Penrose Inequality.

Raphael Bousso1, Arvin Shahbazi-Moghaddam1, Marija Tomašević2

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Summary
This summary is machine-generated.

We propose a quantum Penrose inequality, linking quantum gravity information to total energy. This new relation bounds mass by generalized entropy, overcoming semiclassical limitations.

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Area of Science:

  • Theoretical physics
  • Quantum gravity
  • Black hole physics

Background:

  • The classical Penrose inequality relates black hole mass to trapped surface area.
  • This inequality fails at the semiclassical level, necessitating a quantum mechanical approach.

Purpose of the Study:

  • To propose a quantum version of the Penrose inequality.
  • To establish a relationship between quantum information and total energy in quantum gravity.

Main Methods:

  • Conjecturing a quantum Penrose inequality.
  • Defining mass at spatial infinity and generalized entropy of quantum trapped surfaces.

Main Results:

  • The proposed quantum Penrose inequality provides a lower bound for mass.
  • This bound is a function of the generalized entropy of the light sheet of quantum trapped surfaces.

Conclusions:

  • The study introduces the first relation connecting quantum information in quantum gravity with total energy.
  • This quantum inequality offers a new perspective on black hole thermodynamics and quantum gravity.