Charged and Neutral Particle Collisions in High-Energy Accelerators: A Unified Fractal Quantum Field Theory Perspective (UFQFT)

This paper presents the Unified Fractal Quantum Field Theory (UFQFT) as a geometric framework for describing high-energy collisions involving protons, neutrons, and electrons. In UFQFT, particle stability, resonance formation, and decay are governed by the interplay of two fundamental fields—the energy field (Φ) and the charge field (Ψ)—embedded in a fractal spacetime geometry. Proton stability (≈2.66) and neutron semi-stability (≈2.67−2.69) are interpreted as consequences of critical fractal dimensions, providing a unified resonance-based origin for both hadronic and leptonic systems. Collision dynamics are analyzed for proton–proton, proton–neutron, and electron–electron interactions, where transient Φ–Ψ resonances replace the role of gluons and gauge bosons. The framework predicts that resonance excitations follow fractal scaling laws, leading to distinct experimental signatures such as soft photon excesses, anomalous multiplicity distributions, and enhanced lepton production channels at high energies. Comparisons with the Standard Model show consistency at low energies but divergence in ultraviolet regimes, suggesting that UFQFT functions as an effective extension rather than a replacement of the current paradigm. The results motivate new experimental searches in collider and cosmic-ray experiments to test fractal scaling laws and resonance signatures. If validated, UFQFT may provide a deeper understanding of particle interactions by grounding them in the fractal geometry of spacetime, potentially marking a paradigm shift in high-energy physics.