Weak Interactions as Φ–Ψ Resonances: A Unified Fractal Quantum Field Theory (UFQFT) Approach Beyond the W/Z Bosons

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Abstract

In the Standard Model of particle physics, weak interactions are mediated by the massive W and Z bosons, which are introduced as fundamental gauge fields of the SU(2) L ​ × U(1) Y ​ electroweak theory. While this framework has been experimentally successful, it faces conceptual limitations such as the origin of gauge boson masses, unitarity preservation at high energies, and the absence of a natural connection to spacetime geometry. In this work, we develop an alternative description within the Unified Fractal Quantum Field Theory (UFQFT), where weak processes are governed not by elementary carriers but by transient resonances of the energy field (Φ) and the charge field (Ψ). We construct resonance propagators through a fractal-spectral representation and show how effective four-fermion interactions emerge in the low-energy limit, reproducing the Fermi constant. The chiral V–A structure of weak interactions arises naturally from the orientation asymmetry of the Ψ field, providing a geometric origin of parity violation. As a case study, we analyze neutron beta decay in the Φ–Ψ resonance framework and demonstrate the equivalence with the Standard Model matrix element in the appropriate limit. Furthermore, we generalize neutral current processes using a fractal mixing angle, predicting potential deviations in lepton universality and high-q 2 scattering. The proposed model not only reproduces established results but also suggests experimentally testable deviations in resonance line shapes, lepton universality, and angular distributions, offering a new pathway toward unifying particle interactions with fractal spacetime dynamics.

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