The Φ₀–Ψ₀ Fractal Sea of Pre-Big Bang Universe : A Unified Origin of Matter, Dark Matter, and Cosmic Inflation from UFQFT

Abstract

The Unified Fractal Quantum Field Theory (UFQFT) provides a geometric framework in which fundamental particles and interactions emerge from resonance structures of energy (Φ) and charge (Ψ) fields in a fractal spacetime with effective dimension D ≈ 2.70. Within this formulation, particle stability, mass hierarchies, and interaction strengths are determined by fluctuations in fractal dimension (δD), offering a natural explanation for phenomena ranging from quark confinement to neutrino oscillations. The model further predicts dark matter properties through a scale-dependent mass spectrum(), weak-scale interaction cross-sections () and cosmic abundance consistent with  ≈ 0.26 without fine-tuning. Observable consequences extend across cosmology and high-energy physics: distinctive cosmic microwave background (CMB) anomalies, collider-accessible fractal excitations, and neutrino spectral distortions linked to large-scale structure. Schematic visualizations—such as the Time–Fractal Dimension evolution and Phase Tree diagrams—highlight the unified emergence of quark, lepton, and gauge branches from an initial fractal symmetry state. Upcoming experiments, including CMB-S4, LiteBIRD, FCC, IceCube, and the Rubin Observatory, provide decisive avenues to test these predictions. By unifying dark matter, CMB anomalies, and particle phenomenology within a single fractal-geometric framework, UFQFT offers a testable extension beyond the Standard Model and ΛCDM cosmology.