CP Violation in Unified Fractal Quantum Field Theory: Resonance Asymmetry and Connections to Dark Sector Physics

Abstract

The observed matter–antimatter asymmetry in the Universe cannot be fully explained within the Standard Model of particle physics, where CP violation arises from a single complex phase in the CKM and PMNS matrices. In this work, we reinterpret CP violation within the Unified Fractal Quantum Field Theory (UFQFT), where all particles emerge as resonance structures of the energy field (Φ) and charge field (Ψ) in a fractal spacetime of effective dimension D≈2.7. We propose that CP violation originates from phase asymmetries in Φ–Ψ resonances and dimensional deviations near the critical threshold Dc≈2.7. This geometric mechanism not only provides a stronger source of CP violation but also establishes a direct connection between baryogenesis, dark matter (neutral resonances), and dark energy (non-material oscillations). The framework yields testable predictions for meson decay channels, neutrino oscillations, and cosmological observables.