This analysis reveals new insights on muon g-2 and neutrino oscillation in the standard model, suggesting geometric interpretations.
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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Hacı Soğukpınar (2025) studied this question.
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