ϕ^∞ : Clause Purification, Embedding Realignment, and the Total Suppression of Entropic Loss in Autocatalytic Reaction Networks

ϕ^∞ : Clause Purification, Embedding Realignment, and the Total Suppression of Entropic Loss in Autocatalytic Reaction Networks | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 26 June 2025 V1 Latest version Share on ϕ^∞ : Clause Purification, Embedding Realignment, and the Total Suppression of Entropic Loss in Autocatalytic Reaction Networks Author : Faruk Alpay 0009-0009-2207-6528 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175096736.62288094/v1 191 views 124 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We report a groundbreaking theoretical framework for designing ultra-high energy density chemical reaction networks through topological optimization of autocatalytic cascades. Our work demonstrates that carefully engineered reaction topologies can achieve energy releases exceeding 200 MeV per event—comparable to nuclear processes—while operating entirely within the domain of chemical bonding and electron rearrangement. The key innovation involves a novel "reaction graph purification" methodology that eliminates dissipative pathways and synchronizes exothermic transitions through phase-coherent coupling. We introduce the concept of "super-actinide lattices"—hypothetical crystalline materials where metastable cluster configurations are topologically interconnected, enabling cascade reactions with super-extensive energy scaling (E ∝ N^(1+ε) where N is the number of reactive centers). Our theoretical analysis reveals that reaction networks containing sufficiently dense connectivity (complete subgraphs with N₀ ≥ √(2T/ωₘᵢₙ) vertices) can surpass conventional thermodynamic limits through constructive interference of energy release events. Spectral analysis of the reaction adjacency matrices shows that optimal networks exhibit a single dominant eigenmode corresponding to synchronized energy release, with degeneracy indices measuring unutilized reaction capacity.This work establishes fundamental principles for "topological catalysis"—a new paradigm in chemical energy storage where network topology, rather than individual bond energies, determines the ultimate energy density. Applications include next-generation energy storage materials, controlled energy release systems, and theoretical limits for chemical propulsion. While experimental realization remains challenging, our framework provides concrete design criteria for ultra-high energy density materials operating through purely chemical mechanisms. Supplementary Material File (clause_purification_embedding_realignment__and_the_total_suppression_of_entropic_loss_in_autocatalytic_reaction_networks.pdf) Download 726.29 KB Information & Authors Information Version history V1 Version 1 26 June 2025 Copyright This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License Keywords alpay algebra autocatalytic networks cascade reactions chemical graph topology coherent energy release energy yield maximization metastable materials phase-coherent reactions reaction graph theory reaction network optimization spectral reaction analysis super-actinide lattices super-extensive scaling topological chemistry ultra-high energy density Authors Affiliations Faruk Alpay 0009-0009-2207-6528 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 191 views 124 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Faruk Alpay. ϕ^∞ : Clause Purification, Embedding Realignment, and the Total Suppression of Entropic Loss in Autocatalytic Reaction Networks. Authorea . 26 June 2025. DOI: https://doi.org/10.22541/au.175096736.62288094/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 . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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