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

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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.

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