Why the Hausdorff Dimension of Spacetime is D ≈ 2.7 A Critical Fractal Threshold in Unified Fractal Quantum Field Theory (UFQFT)

Why the Hausdorff Dimension of Spacetime is D ≈ 2.7 A Critical Fractal Threshold in 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 16 January 2026 V1 Latest version Share on Why the Hausdorff Dimension of Spacetime is D ≈ 2.7 A Critical Fractal Threshold in Unified Fractal Quantum Field Theory (UFQFT) Author : haci Sogukpinar 0000-0002-9467-2005 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176858321.13122244/v1 140 views 99 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Unified Fractal Quantum Field Theory (UFQFT) proposes that the fundamental structure of spacetime is not characterized by an integer dimension but by a critical fractal Hausdorff dimension that governs the formation of stable physical reality. In this framework, the Hausdorff dimension D does not represent the number of spatial dimensions but quantifies the degree of connectivity, confinement, and resonance of unified energy (Φ) and charge (Ψ) fields within spacetime. We demonstrate that a critical threshold at D≈2.7 uniquely permits the emergence of stable standing-wave resonances identified as elementary particles, while simultaneously allowing long-range interactions and a non-frozen temporal evolution. For D=3, field delocalization prevents confinement and particle formation, whereas for significantly lower values of D, excessive localization suppresses interaction range and halts dynamical evolution. The value D≈2.7 thus represents a geometric balance point between localization and dispersion, enabling quark confinement, lepton and photon propagation, and the continuous flow of time. Within this scheme, normal matter corresponds to resonances near the critical dimension, dark matter emerges from subcritical fractal regimes incapable of full particle formation, and dark energy arises as the asymptotic D→3 limit of delocalized field oscillations. The theory yields testable predictions for particle stability thresholds, mass hierarchies, confinement scales, and cosmological structure formation, offering a unified geometric explanation for matter, time, and the dark sector based on a single fractal parameter. Supplementary Material File (why the hausdorff dimension of spacetime is d 2 7 a critical fractal threshold in unified fractal quantum field theory.pdf) Download 348.13 KB Information & Authors Information Version history V1 Version 1 16 January 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords confinement dark energy dark matter emergence of time fractal spacetime hausdorff dimension particle formation 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 140 views 99 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation haci Sogukpinar. Why the Hausdorff Dimension of Spacetime is D ≈ 2.7 A Critical Fractal Threshold in Unified Fractal Quantum Field Theory (UFQFT). Authorea . 16 January 2026. DOI: https://doi.org/10.22541/au.176858321.13122244/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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