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Transformational Unification through the Theory of Entropicity (ToE): A Reformulation of Quantum-Gravitational Correspondence via the Obidi Action and the Vuli-Ndlela Integral | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 21 October 2025 V1 Latest version Share on Transformational Unification through the Theory of Entropicity (ToE): A Reformulation of Quantum-Gravitational Correspondence via the Obidi Action and the Vuli-Ndlela Integral Author : John Onimisi Obidi 0009-0004-3606-3182 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176105871.18737181/v1 143 views 88 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The Theory of Entropicity (ToE) unifies Thermodynamics, Quantum mechanics, and General relativity under a single entropic variational principle. This paper reformulates the transformational framework of the ∆ ∞ O meta-theory of Alexander Ngu and Amaya Odilon Kosso through the ToE formalism. Using the Obidi Action and the Vuli-Ndlela Integral, the analysis demonstrates that all transformation-based results claimed by the ∆ ∞ O paper emerge naturally as entropic consequences. The equivalence transformation program (T1-T6) shows that every major feature-unified operator, Planck-scale dispersion, and holographic entropy bounds-arises from entropic field dynamics governed by irreversible constraints and the finite rate of entropy rearrangement in ToE. Supplementary Material File (transformational unification of gr and qm through the theory of entropicity (toe)_buu_20 october 2025_v3_s1.pdf) Download 367.23 KB Information & Authors Information Version history V1 Version 1 21 October 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords amari-čencov α-connections entropic constraint entropic field entropic geodesics fisher-rao(fr) fubini-study (fs) general relativity (gr) holographic entropy information geometry meta-theory obidi action obidi formalism quantum mechanics (qm) vuli-ndlela integral Authors Affiliations John Onimisi Obidi 0009-0004-3606-3182 [email protected] Independent Research View all articles by this author Metrics & Citations Metrics Article Usage 143 views 88 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation John Onimisi Obidi. Transformational Unification through the Theory of Entropicity (ToE): A Reformulation of Quantum-Gravitational Correspondence via the Obidi Action and the Vuli-Ndlela Integral. Authorea . 21 October 2025. DOI: https://doi.org/10.22541/au.176105871.18737181/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. 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