Unified statistical distribution of quantum particles and Symmetry

TL;DR

This paper introduces a unified statistical framework for quantum particles, linking Bose-Einstein and Fermi-Dirac statistics through probabilistic associations with matter and forces, and explores connections to supersymmetry.

Contribution

It proposes a novel unified statistics model for quantum particles, extending spin-statistics theory to include fractional spins and relating to supersymmetry.

Findings

Unified statistics encompasses Bose-Einstein and Fermi-Dirac as special cases

Extension of spin-statistics theory to fractional spins

Potential connections to supersymmetry

Abstract

In this paper we propose a unified statistics of Bose-Einstein and Fermi-Dirac statistics by suggesting that every particle can be associated with matter or fundamental forces with certain probability. The main Justification for this proposal is the possibility of extension of the spin-statistics theory to include a hypothesis quantum particles have fractional spin. The concept of Supersymmetry can be related to this unified statistics.