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Light sheets and Bekenstein's entropy bound.

Raphael Bousso1

  • 1Department of Physics, Jefferson Laboratory, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA. bousso@physics.harvard.edu

Physical Review Letters
|April 12, 2003
PubMed
Summary

Researchers derived a new Bekenstein bound for isolated systems, S/M ≤ πx/2π. This entropy bound is tighter for thin systems, linking information and geometry more broadly than black hole thermodynamics.

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Area of Science:

  • Theoretical physics
  • Quantum gravity
  • Information theory

Background:

  • The Bekenstein bound relates a system's entropy to its mass and size.
  • Black hole thermodynamics revealed initial connections between information and geometry.
  • Covariant bounds on entropy offer a more general framework.

Purpose of the Study:

  • To derive a new version of the Bekenstein bound from covariant entropy bounds.
  • To explore the implications of this bound for isolated, weakly gravitating systems.
  • To unify existing entropy bounds under a more general covariant framework.

Main Methods:

  • Derivation from the covariant bound on the entropy of partial light sheets.
  • Analysis of the bound's tightness based on the system's width (x).
  • Comparison with previously established entropy bounds.

Main Results:

  • A new Bekenstein-type bound is derived: S/M ≤ πx/2π for isolated, weakly gravitating systems.
  • The bound is shown to be unexpectedly tight for systems with small width (x).
  • Older entropy bounds are identified as special cases of this generalized covariant bound.

Conclusions:

  • Light sheets reveal a general connection between information and geometry.
  • This connection is more comprehensive than previously understood from black hole thermodynamics.
  • The derived bound offers a unified perspective on entropy limitations in physics.

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