Resolving Standard Model Anomalies through Unified Fractal Quantum Field Theory (UFQFT

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Abstract

The Standard Model (SM) of particle physics has achieved remarkable success in describing fundamental interactions, yet persistent anomalies—such as the muon g−2, the proton radius puzzle, Higgs mass stability, neutrino oscillation irregularities, and B-physics deviations—indicate the need for a deeper theoretical framework. In this work, we explore these anomalies through the Unified Fractal Quantum Field Theory (UFQFT), a model in which particles are not elementary point-like objects but resonance structures of unified energy (Φ) and charge (Ψ) fields embedded in a fractal spacetime with dimension D≈2.7. Within this framework, deviations such as the anomalous magnetic moment of the muon and measurement-dependent proton radius arise naturally as consequences of resonance-dependent phase shifts and scale-dependent geometric effects, rather than signals of undiscovered particles. Similarly, the hierarchy problem of the Higgs boson is mitigated by interpreting it as a collective resonance mode stabilized by fractal geometry. Neutrino flavor transitions are explained as Φ–Ψ phase oscillations, while B-physics anomalies are understood as differences among leptonic resonance families, without invoking new gauge bosons. We argue that UFQFT provides a unified, geometrically motivated explanation for multiple SM anomalies, offering testable predictions for precision measurements and next-generation experiments.

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