English

WH Statistics: Generalized Pauli Principle for Partially Distinguishable Particles

Statistical Mechanics 2026-01-21 v1

Abstract

Traditional statistical mechanics is constrained by the binary paradigms of identical/distinguishable and bosonic/fermionic particle statistics, leading to a fundamental logical gap in describing systems with partial distinguishability. We propose WH Statistics, a unified theoretical framework governed by three key parameters: continuous distinguishability {\lambda}, exclusion weight \k{appa}, and intrinsic exclusivity {\gamma}. By deriving the microstate count and entropy, we show that this framework naturally recovers the Bose-Einstein, Fermi-Dirac, and Maxwell-Boltzmann statistics, while also incorporating anyons and the classical hard-core (Langmuir) limit. We introduce a class of generalized quasiparticles, termed WHons, which exhibit exotic physical phenomena including non-monotonic degeneracy pressure peaks, Schottky-like specific heat anomalies, and tunable interference effects, driven by the interplay between fractional distinguishability and exclusion. This framework bridges the century-old discontinuity between quantum and classical exclusion principles, providing a powerful tool for investigating strongly correlated systems and programmable quantum matter.

Keywords

Cite

@article{arxiv.2601.12838,
  title  = {WH Statistics: Generalized Pauli Principle for Partially Distinguishable Particles},
  author = {Wang Hao and Meng Yancen and Zhang Kuang and Zhou Rui'en},
  journal= {arXiv preprint arXiv:2601.12838},
  year   = {2026}
}
R2 v1 2026-07-01T09:10:13.642Z