Large Deviation Theory for Bose Gas of Photons and Planck's Oscillators

D. P. Shinde

Large Deviation Theory for Bose Gas of Photons and Planck's Oscillators

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arxiv 2502.11600 v2 pith:WTN35END submitted 2025-02-17 cond-mat.stat-mech

D. P. Shinde This is my paper · ORCID

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keywords deviationlargeplanckboseoscillatorsphotonsdistributionstheorems

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We utilize large deviation theorems to analyze the distributions of a Bose gas of photons and Planck's identical linear oscillators. By applying the Boltzmann-Sanov and Cram\'er-Chernoff theorems, we calculate the large deviation probabilities, entropies, and rate functions for the spatial and energy distributions of both photons and Planck's oscillators. Our study reproduces the results of Bose and Planck within the framework of large deviation theory.

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Partition Functions and Kurepa Decomposition I: Algebraic computation and some physical Applications
math.CO 2025-09 reject novelty 2.0 of 10

The alleged proof of gcd(F_n, (n+1)!)=2 collapses because F_n is simply the Kurepa factorial and the key lemma is the conjecture itself.

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