Quantum Fractal-Logical Unified Field 2.0: A Comprehensive Mathematical and Physical Framework

Quantum Fractal-Logical Unified Field 2.0: A Comprehensive Mathematical and Physical Framework | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 2 December 2025 V1 Latest version Share on Quantum Fractal-Logical Unified Field 2.0: A Comprehensive Mathematical and Physical Framework Author : Enrique Vidal Silvente 0009-0007-8291-1762 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176463837.74096868/v1 197 views 138 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We present a comprehensive and self-contained framework unifying spectral theory on fractal metric spaces, logical projector lattices, and quantum field theoretic interpretations into a single operator construction whose spectrum encodes number-theoretic phenomena and induces effective physical interactions. The core object is a self-adjoint fractal Hamiltonian on a Hausdorff-measured space, equipped with pseudo-spectral numerical validation (Chebyshev/Fourier/wavelet bases) that achieves high-accuracy eigenvalue computations and trace evaluations. We connect (i) the local spacing statistics to GUE behavior, (ii) explicit-formula analogues via zeta-regularized determinants and trace/heat kernel techniques, and (iii) multi-scale cryptographic primitives built from resonant projectors. The physical sector interprets particles as stable localized modes on fractal intersections and forces as crossing-induced couplings constrained by symmetry (U(1), SU(2), SU(3)), with decoherence analyzed through Lindblad dynamics on fractal supports. The work consolidates classical and modern mathematics-analysis on fractals, functional analysis, noncommutative geometryand physics-QFT, chaos, quantum information-into a single reference architecture intended for subsequent HPC-scale numerical studies. Supplementary Material File (luna_estrella-7.pdf) Download 398.79 KB Information & Authors Information Version history V1 Version 1 02 December 2025 Copyright This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License Keywords field fractal logical quantum Authors Affiliations Enrique Vidal Silvente 0009-0007-8291-1762 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 197 views 138 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Enrique Vidal Silvente. Quantum Fractal-Logical Unified Field 2.0: A Comprehensive Mathematical and Physical Framework. Authorea . 02 December 2025. DOI: https://doi.org/10.22541/au.176463837.74096868/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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