Black Hole Statistics

Abstract

The quantum statistics of charged, extremal black holes is investigated beginning with the hypothesis that the quantum state is a functional on the space of closed three-geometries, with each black hole connected to an oppositely charged black hole through a spatial wormhole. From this starting point a simple argument is given that a collection of extremal black holes obeys neither Bose nor Fermi statistics. Rather they obey an exotic variety of particle statistics known as ``infinite statistics'' which resembles that of distinguishable particles and is realized by a $q$-deformation of the quantum commutation relations.

12 pages

References in corpus (3)

• Evanescent Black Holes
• Black Hole Remnants and the Information Puzzle
• (Para)bosons, (para)fermions, quons and other beasts in the menagerie of particle statistics

Cited by in corpus (48)

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• High temperature behavior of a deformed Fermi gas obeying interpolating statistics
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• Time and M-theory
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• Non-Standard neutral kaons dynamics from D-brane statistics
• Dark Matter, Infinite Statistics and Quantum Gravity
• Bosonic D-branes at finite temperature with an external field
• Condensate of $\mu$-Bose gas as a model of dark matter
• Infinite Statistics Condensate as a Model of Dark Matter
• On the SU(1,1) Thermal Group of Bosonic Strings and D-Branes
• Fine Structure of Dark Energy and New Physics
• Properties of Particles Obeying Ambiguous Statistics
• The effects of q-statistics on cosmology
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• Statistical field theories deformed within different calculi
• $q$-Deformed Einstein equations from entropic force
• A Comment or two on Holographic Dark Energy
• Entropy of Bosonic Open String and Boundary Conditions
• Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model
• Effects of bosonic and fermionic $q$-deformation on the entropic gravity
• Dynamics in a noncommutative phase space
• On the Hagedorn Transition and Collective Dynamics of D0-branes
• Generalized Statistics and Dynamics in Curved Spacetime
• Friedmann equations for deformed entropic gravity
• Representations and Properties of Generalized $A_r$ Statistics, Coherent States and Robertson Uncertainty Relations
• Entropy and Gravitation: From Black Hole Computers to Dark Energy and Dark Matter
• Interpretation and Extension of the Green's Ansatz for Paraparticles
• Three types of statistics and the entropy bounds
• Exotic Statistics for Ordinary Particles in Quantum Gravity
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• Quantitative constraints on modified gravity paradigms
• Thermodynamics of Statistical Anyons
• Relativistic Theory of Infinite Statistics Fields
• Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes
• Chiral bosons on Bargmann space associated with A${}_r$ Statistics
• Solution of deformed Einstein equations and quantum black holes
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• Representations of Generalized a${}_r$ Statistics and Eigenstates of Jacobson Generators
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• Statistics effects in extremal black holes ensemble
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