Simple observations concerning black holes and probability

Research output: Contribution to journalArticle

Abstract

What is common to a black hole and a bell-shaped curve? The question does not seem to make much sense but it is argued that black holes and the limit distributions of probability theory share several properties when their entropy and information content are compared. In particular, the no-hair theorem, the entropy maximization and holographic bound, and the quantization of entropy of black holes have their respective analogs for stable limit distributions. This observation suggests that the central limit theorem can play a fundamental role in black hole statistical mechanics and in a possibly emergent nature of gravity.

Original languageEnglish
Pages (from-to)2269-2273
Number of pages5
JournalInternational Journal of Modern Physics D
Volume18
Issue number14
DOIs
Publication statusPublished - Dec 31 2009

Keywords

  • Black holes
  • Central limit theorem
  • Entropy
  • Stable distributions

ASJC Scopus subject areas

  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science

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