Entropy-Balanced Collapse of a Stochastic Controller to Hamiltonian and Unitary Dynamics

Entropy-Balanced Collapse of a Stochastic Controller to Hamiltonian and Unitary Dynamics | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 4 February 2026 V1 Latest version Share on Entropy-Balanced Collapse of a Stochastic Controller to Hamiltonian and Unitary Dynamics Author : Early stage exploratory work only -mn [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177023573.32107641/v1 125 views 83 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We present a dynamical clarification of a thermodynamic-geometric purlely hamilitonian framework in which effective physical dynamics arise from underlying reversible evolution regulated by entropy balance. Using a stochastic entropy-balance controller formulated within the stochatic framework, we show that a purely Hamiltonian limit corresponds to a degeneracy point at which entropy production, feedback gain, and stochastic forcing vanish simultaneously. At this point, the dynamics reduce uniquely to deterministic Hamiltonian flow, indicating the closure of classical dissipative and stochastic channels. We demonstrate that the remaining coherent forcing term is naturally interpreted as the reduced representation of unitary quantum evolution under a controlled Hamiltonian. These results support the view that quantum dynamics are not an additional postulate at the purely Hamiltonian limit, but the residual structure compatible with vanishing entropy production and closed, reversible evolution. Supplementary Material File (entropy balance and stochastic controller to ham.pdf) Download 164.51 KB Information & Authors Information Version history V1 Version 1 04 February 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords high energy plasma physics quantum Authors Affiliations Early stage exploratory work only -mn [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 125 views 83 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Early stage exploratory work only -mn. Entropy-Balanced Collapse of a Stochastic Controller to Hamiltonian and Unitary Dynamics. Authorea . 04 February 2026. DOI: https://doi.org/10.22541/au.177023573.32107641/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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