Proton and Neutron Properties from Unified Fractal Quantum Field Theory (UFQFT): A Resonance-Based Approach to Mass, Spin, and Binding Energies

Abstract

In this study, we present a comprehensive calculation of the fundamental properties of the proton and neutron within the framework of the Unified Fractal Quantum Field Theory (UFQFT). Unlike conventional models where quarks are treated as confined point-like particles with gluon-mediated interactions, UFQFT describes quarks as stationary fractal resonances of two coupled fields: the energy field Φ and the charge field Ψ. Using this formalism, we derive explicit wave functions for up and down quarks, compute the proton and neutron mass from resonance energy minimization, and reproduce their spin, charge distribution, and magnetic properties. Furthermore, we explore proton–neutron conversion, binding energy contributions in nuclei, and discuss the implications for the stability of nuclear matter. Our results demonstrate that the UFQFT resonance approach yields values consistent with experimental observations while providing a geometric and field-theoretic interpretation of nucleon structure