Advancing the Unified Fractal Quantum Field Theory: Quantization, Microscopic Potentials, and Standard Model Precision Tests

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The Unified Fractal Quantum Field Theory (UFQFT) has been proposed as a geometric framework in which matter, interactions, and cosmology emerge from resonance states of unified energy (Φ) and charge (Ψ) fields embedded in a fractal spacetime of effective dimension D≈2.70. While recent studies have demonstrated the potential of UFQFT to explain particle stability, quark confinement, neutrino oscillations, and dark sector phenomena, several critical aspects remain undeveloped. In this work, we address these open challenges by introducing a quantization scheme for the fractal dimension D, exploring microscopic origins of the fractal potential V(D), and formulating propagators and renormalization within fractal quantum field theory. Furthermore, we analyze the emergence of Standard Model-like gauge symmetries from higher-order fractal structures, discuss compatibility with Higgs phenomenology, and compare UFQFT predictions with electroweak precision data and collider observables. We also refine the mechanisms of baryogenesis and CP violation in terms of dimensional fluctuations, and provide updated cosmological implications, including CMB signatures and non-Gaussianity constraints testable by upcoming surveys. By systematically extending UFQFT in these directions, we aim to establish it as a more predictive and experimentally falsifiable alternative to the Standard Model and ΛCDM cosmology.
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Data may be preliminary. 6 October 2025 V1 Latest version Share on Advancing the Unified Fractal Quantum Field Theory: Quantization, Microscopic Potentials, and Standard Model Precision Tests Author : haci Sogukpinar 0000-0002-9467-2005 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175977932.22198385/v1 435 views 142 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The Unified Fractal Quantum Field Theory (UFQFT) has been proposed as a geometric framework in which matter, interactions, and cosmology emerge from resonance states of unified energy (Φ) and charge (Ψ) fields embedded in a fractal spacetime of effective dimension D≈2.70. While recent studies have demonstrated the potential of UFQFT to explain particle stability, quark confinement, neutrino oscillations, and dark sector phenomena, several critical aspects remain undeveloped. In this work, we address these open challenges by introducing a quantization scheme for the fractal dimension D, exploring microscopic origins of the fractal potential V(D), and formulating propagators and renormalization within fractal quantum field theory. Furthermore, we analyze the emergence of Standard Model-like gauge symmetries from higher-order fractal structures, discuss compatibility with Higgs phenomenology, and compare UFQFT predictions with electroweak precision data and collider observables. We also refine the mechanisms of baryogenesis and CP violation in terms of dimensional fluctuations, and provide updated cosmological implications, including CMB signatures and non-Gaussianity constraints testable by upcoming surveys. By systematically extending UFQFT in these directions, we aim to establish it as a more predictive and experimentally falsifiable alternative to the Standard Model and ΛCDM cosmology. Supplementary Material File (advancing the unified fractal quantum field theory quantization, microscopic potentials, and standard model precision tests.pdf) Download 372.37 KB Information & Authors Information Version history V1 Version 1 06 October 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords baryogenesis beyond standard model cosmic microwave background cp violation dark energy dark matter electroweak precision tests fractal potential v(d) fractal spacetime gauge symmetry higgs phenomenology propagators quantization of fractal dimension renormalization unified fractal quantum field theory (ufqft) φ-ψ fields 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 435 views 142 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation haci Sogukpinar. Advancing the Unified Fractal Quantum Field Theory: Quantization, Microscopic Potentials, and Standard Model Precision Tests. Authorea . 06 October 2025. DOI: https://doi.org/10.22541/au.175977932.22198385/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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