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arXiv · 2608.23598

Striving to find a bridge between noncommutative and generalized entropy parameters in the harmonic oscillator dynamics

J. Sadeghi·Mohammad Ali S. Afshar·H. Z. Kalbasti·H. Razazchian
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Abstract

In this study, we use the harmonic oscillator s energy spectrum to connect its dynamical behavior to the formalism of statistical mechanics through entropy. We perform a thermal analysis of the entropy generated by this spectrum in both commutative and noncommutative two-dimensional configuration spaces, employing the Tsallis and Renyi entropy measures. The primary objective is to examine the possibility of an intrinsic link and mutual influence between the noncommutative parameter({\theta}) and the parameters arising from generalized entropies. By analyzing both Tsallis and Renyi frameworks, we investigate whether a fundamental relationship exists between {\theta} and the entropy index q. Establishing such a connection could provide new insights into the interplay between spacetime geometry and generalized statistical mechanics.

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J. Sadeghi, Mohammad Ali S. Afshar, H. Z. Kalbasti, H. Razazchian. 2026-08-18. Striving to find a bridge between noncommutative and generalized entropy parameters in the harmonic oscillator dynamics. https://doi.org/10.1088/1402-4896%2Fae96d8

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