Algorithmic Response (AR) Formula: Structural and Quantitative Convergence of Earth, Mars, and Saturn via the AR Procedure (E→Sel→F→)

Algorithmic Response (AR) Formula: Structural and Quantitative Convergence of Earth, Mars, and Saturn via the AR Procedure (E→Sel→F→) | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 24 October 2025 V1 Latest version Share on Algorithmic Response (AR) Formula: Structural and Quantitative Convergence of Earth, Mars, and Saturn via the AR Procedure (E→Sel→F→) Authors : hong seok houn 0009-0001-2423-4122 [email protected] and Seokhoun Hong Authors Info & Affiliations https://doi.org/10.22541/au.176132962.26467560/v1 144 views 90 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper applies the Algorithmic Response (AR) formula to planetary systems-Earth, Mars, and Saturn-using its full structural form rather than only its procedural abstraction. The full AR formula π(a|S, E) = 1 Z S,E exp − ∆F (S, E) k B T eff (S, E) describes the probabilistic selection of natural structures under energy constraints, where ∆F is the free energy difference, T eff is the effective temperature of the selection environment, and Z S,E is the structural normalization constant. This fundamental expression is operationalized through the procedural chain E → Sel → ∆F min → π, which allows the direct derivation of planetary parameters and stable structures without fitting observational data. We apply this framework to: (1) Earth and Mars (mass, radius, circumference, gravity), (2) Saturn's ring stability and origin, (3) Saturn's internal and magnetic field configuration. Supplementary Material File (52eng (1).pdf) Download 234.43 KB Information & Authors Information Version history V1 Version 1 24 October 2025 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Authors Affiliations hong seok houn 0009-0001-2423-4122 [email protected] View all articles by this author Seokhoun Hong View all articles by this author Metrics & Citations Metrics Article Usage 144 views 90 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation hong seok houn, Seokhoun Hong. Algorithmic Response (AR) Formula: Structural and Quantitative Convergence of Earth, Mars, and Saturn via the AR Procedure (E→Sel→F→). Authorea . 24 October 2025. DOI: https://doi.org/10.22541/au.176132962.26467560/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. 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