Properties of Particles Obeying Ambiguous Statistics

TL;DR

This paper introduces a novel class of particles with ambiguous quantum statistics, capable of exhibiting both Bose and Fermi behaviors probabilistically, and explores their statistical and thermodynamic properties.

Contribution

It proposes a new particle class with mixed statistics, derives generalized distributions, and discusses implications for black hole physics.

Findings

Particles can exhibit both Bose and Fermi statistics probabilistically.

Generalized statistical distributions for these particles are derived.

Implications for black hole entropy and extremal black holes are discussed.

Abstract

A new class of identical particles which may exhibit both Bose and Fermi statistics with respective probabilities $p_b$ and $p_f$ is introduced. Such an uncertainity may be either an intrinsic property of a particle or can be viewed as an ``experimental uncertainity''. Statistical equivalence of such particles and particles obeying parastatistics of infinite order is shown. Generalized statistical distributions are derived and statistical and thermodynamical properties of an ideal gas of the particles are investigated. The physical nature of such particles and the implications of this investigation for the statistics of extremal black holes are discussed.