General Relativity as the Classical Limit of the Unified Fractal Quantum Field Theory (UFQFT)

General Relativity as the Classical Limit of the Unified Fractal Quantum Field Theory (UFQFT) | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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 General Relativity as the Classical Limit of the Unified Fractal Quantum Field Theory (UFQFT) Author : haci Sogukpinar 0000-0002-9467-2005 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176106016.64204110/v1 340 views 157 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this study, we demonstrate that Einstein's General Relativity (GR) emerges as the classical geometric limit of the Unified Fractal Quantum Field Theory (UFQFT). Within UFQFT, spacetime is defined as a scale-dependent fractal manifold characterized by a local dimension D(x), and all physical interactions arise from the resonant dynamics of two unified fundamental fields: the energy field (Φ) and the charge field (Ψ). The macroscopic curvature of spacetime, expressed by Einstein's field equations, is shown to result from the collective resonance geometry of these fields when D→3.0. Gravitation is reinterpreted as an emergent resonance curvature of the Φ-field, rather than a fundamental force. The classical energymomentum tensor Tμν is replaced by a fractal energy tensor Tμν (Φ,Ψ,D) which depends explicitly on the local fractal dimension. This framework naturally incorporates dark matter as baryon-free, neutral resonance structures of the Φ-Ψ fields trapped in sub-fractal domains (D<3), and dark energy as nonmaterial vacuum resonances (Φ₀ modes) that maintain constant phase and contribute to cosmic expansion. The results indicate that General Relativity is not an independent postulate but a macroscopic manifestation of a deeper fractal field dynamics. This correspondence provides a unified geometric interpretation of spacetime curvature, particle interactions, and cosmological acceleration within a single theoretical framework. Supplementary Material File (general relativity as the classical limit of the unified fractal quantum field theory (ufqft).pdf) Download 306.63 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 dark energy dark matter emergent gravitation energy-charge fields fractal spacetime geometry general relativity geometric unification quantum gravity resonance dynamics unified fractal quantum field theory (ufqft) Authors Affiliations haci Sogukpinar 0000-0002-9467-2005 [email protected] Department of Physics, Faculty of Art and Sciences, and Department of Electric and Energy, Vocational School, University of Adiyaman, Adiyaman, 02040, TURKEY. View all articles by this author Metrics & Citations Metrics Article Usage 340 views 157 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation haci Sogukpinar. General Relativity as the Classical Limit of the Unified Fractal Quantum Field Theory (UFQFT). Authorea . 21 October 2025. DOI: https://doi.org/10.22541/au.176106016.64204110/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 . 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