Statistical Physics from Quantum Envariance Principles

• URL: http://arxiv.org/abs/2510.25253v1
• Date: Wed, 29 Oct 2025 08:04:23 GMT
• Title: Statistical Physics from Quantum Envariance Principles
• Authors: Amul Ojha, Shubhit Sardana, Arnab Ghosh,
• Abstract summary: We show how the principles of statistical mechanics can be derived from quantum mechanics.<n>We resolve the Gibbs paradox using entanglement entropy, obtaining the Sackur--Tetrode equation with quantum corrections.<n>Our results reinforce and extend the view that statistical mechanics arises as a direct consequence of quantum information dynamics.
• Score: 0.8411385346896413
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We build on the foundational work of Deffner and Zurek [S.~Deffner and W.~H.~Zurek, {New J.~Phys.18, 063013 (2016)}] to demonstrate how the principles of statistical mechanics can be derived from quantum mechanics using the concept of envariance (environment-assisted invariance). In particular, we show how the Binomial, Poisson, and Gaussian distributions naturally emerge from entangled system--environment states. Furthermore, we resolve the Gibbs paradox using entanglement entropy, obtaining the Sackur--Tetrode equation with quantum corrections. Extending this framework, we derive a modified Saha equation for ionization equilibrium and recover Bose--Einstein and Fermi--Dirac statistics from quantum symmetries. Our results reinforce and extend the view that statistical mechanics arises as a direct consequence of quantum information dynamics, rather than being founded on phenomenological postulates.

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