Embedding Standard Model of particle physics into a B-Chem Multiscale Framework: From Quarks to Chemistry

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Abstract

The Standard Model of particle physics provides a complete and experimentally validated description of known elementary particles and their interactions, yet its degrees of freedom operate at energy and length scales far removed from those relevant to chemistry. In this work, I present a non-dynamical, geometry-first reinterpretation of the Standard Model within the B-Chem framework, in which particles, symmetries, and quantum statistics are treated as admissible algebraic-geometric projection classes defined over a contextual Bansal manifold, rather than as dynamical field excitations. I explicitly distinguish a general Bansal manifold M Gen B from its chemically and biologically admissible submanifolds, M Chem B and M Bio B , related by inclusion. Using only established mathematical structures-Lie groups and Lie algebras, spinors, quaternions, octonions, dual (nilpotent) elements, and representation theory-I show how quarks, leptons, gauge bosons, generations, and quantum statistics admit a unified interpretation as projection-geometric structures. This approach provides a principled bridge from quarks and hadrons to nuclei, electrons, and chemical observables, without modifying the Standard Model, introducing new interactions, or reformulating quantum dynamics. The B-Chem framework thus offers a conservative, multiscale interpretive extension connecting particle physics and quantum chemistry within a single geometric and categorical language.
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Embedding Standard Model of particle physics into a B-Chem Multiscale Framework: From Quarks to Chemistry | 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 January 2026 V1 Latest version Share on Embedding Standard Model of particle physics into a B-Chem Multiscale Framework: From Quarks to Chemistry Author : Abhishek Bansal 0000-0002-2572-9004 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176901789.96109035/v1 117 views 87 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The Standard Model of particle physics provides a complete and experimentally validated description of known elementary particles and their interactions, yet its degrees of freedom operate at energy and length scales far removed from those relevant to chemistry. In this work, I present a non-dynamical, geometry-first reinterpretation of the Standard Model within the B-Chem framework, in which particles, symmetries, and quantum statistics are treated as admissible algebraic-geometric projection classes defined over a contextual Bansal manifold, rather than as dynamical field excitations. I explicitly distinguish a general Bansal manifold M Gen B from its chemically and biologically admissible submanifolds, M Chem B and M Bio B, related by inclusion. Using only established mathematical structures-Lie groups and Lie algebras, spinors, quaternions, octonions, dual (nilpotent) elements, and representation theory-I show how quarks, leptons, gauge bosons, generations, and quantum statistics admit a unified interpretation as projection-geometric structures. This approach provides a principled bridge from quarks and hadrons to nuclei, electrons, and chemical observables, without modifying the Standard Model, introducing new interactions, or reformulating quantum dynamics. The B-Chem framework thus offers a conservative, multiscale interpretive extension connecting particle physics and quantum chemistry within a single geometric and categorical language. Supplementary Material File (abhishekbansal_standardmodel.pdf) Download 789.66 KB Information & Authors Information Version history V1 Version 1 21 January 2026 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords b-chem bansal algebra bansal chemsitry framework bansal theory baryon dominance fermions guage hil hilbert bundles lepton meson quantum chemistry quantum mechanics quark standard model Authors Affiliations Abhishek Bansal 0000-0002-2572-9004 [email protected] New Era Consultancy Services View all articles by this author Metrics & Citations Metrics Article Usage 117 views 87 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Abhishek Bansal. Embedding Standard Model of particle physics into a B-Chem Multiscale Framework: From Quarks to Chemistry. Authorea . 21 January 2026. 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