Unified Fractal Quantum Field Theory (UFQFT): Matter as Geometric Resonances of Unified Energy-Charge Fields
Abstract
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 nodeszero-volume, massless quantized configurations of energy and charge-localized within a scaledependent 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 𝑉(𝑟) ∼ 1/𝑟 (𝐷-1) , 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…
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