Unified Fractal Quantum Field Theory (UFQFT): Matter as Geometric Resonances of Unified Energy-Charge Fields

This study introduces a novel theoretical framework in which all fundamental structures of matter and interaction emerge from the self-organized, fractal resonances of two foundational quantum fields: a scalar energy field (Φ) and a vectorial charge field (Ψ). Unlike traditional particle physics models, this approach does not treat quarks, leptons, or gauge bosons as physical entities but as resonance nodes—zero-volume, massless quantized configurations of energy and charge—localized within a scale-dependent fractal space-time geometry (D ≈ 2.7). These quantized field singularities form through the nonlinear intersections of Φ and Ψ fields, with no need for mediators such as gluons or a Higgs boson.The four known fundamental forces are unified under this framework as distinct manifestations of energy-charge field topology: the strong interaction arises from the fractal confinement of energy resonances (Φ); electromagnetism from the propagating wave modes of charge fields (Ψ); the weak interaction as topological phase transitions between coupled field domains; and gravity as a nonlocal curvature effect due to fractal field preservation. The model predicts a generalized gravitational potential of the form , offering testable deviations from Newtonian gravity at microscopic scales. It also provides reinterpretations of dark matter as high-order, non-radiating Φ-field structures, and of proton spin as a result of internal fractal resonance dynamics. Leptons are not elementary, but arise as secondary energy-charge standing waves coupled to quark-like field nodes, while neutrinos appear as phase-neutral oscillatory modes with minimal interaction cross-sections. The theory addresses long-standing challenges in fundamental physics—such as the hierarchy problem, the origin of mass, and quantum gravity—by reducing all physical observables to the geometry and topology of unified fractal fields. Experimental implications include modified beta decay spectra, LHC resonance deviations, and precision gravitational measurements below millimeter scales.