Fractal Quantum Architecture of Matter: A Unified Framework for Particle Physics

Abstract

This study propose a novel theoretical framework—Unified Fractal Quantum Field Theory (UFQFT)—in which all elementary particles and interactions emerge from the resonant behavior of two fundamental quantum fields: an energy field (Φ) and a charge field (Ψ), embedded in a fractal spacetime with intrinsic dimension ?f ≈ 2.7. Within this framework, particles such as leptons, quarks, mesons, and baryons are modeled as localized resonant configurations whose properties (mass, charge, flavor, and spin) are determined by their fractal mode structures and boundary topologies. Leptons arise as low dimensional resonances, whereas quarks emerge as higher-dimensional, fractionally charged modes. Composite particles such as hadrons are formed through geometric clustering in the fractal field landscape. The model offers a unified geometric explanation for fundamental interactions: electromagnetic coupling arises from Φ–Ψ interactions, the strong force from topological quark confinement, the weak force through local dimensional transitions, and gravity from large-scale fractal curvature. This framework eliminates the need for external gauge bosons and naturally integrates particle physics with cosmology via a higher-dimensional bubble universe scenario. Observable consequences, such as modified decay patterns, mass hierarchies, and correlations with cosmological data (e.g., CMB anomalies, gravitational waves), provide pathways for experimental verification. UFQFT represents a step toward a geometrically grounded unification of matter and interactions in a fundamentally fractal quantum universe.