Solution to the Matter-Antimatter Asymmetry Problem in the FFM Model \\ {\large From Vacuum Texture Fluctuations to Baryon Asymmetry}}

The Model (FFM) introduces a novel geometric mechanism for generating the observed matter-antimatter asymmetry through vacuum texture fluctuations parameterized by τ. In this framework, matter production corresponds to local increases in texture density (τ → τ + δ), while antimatter production corresponds to decreases (τ → τ - δ). The statistical preference for positive fluctuations at high temperatures naturally yields Δτ = ⟨δ₊⟩ - ⟨δ₋⟩ > 0. With optimized parameters Δτ = 0.002, M_X = 1.1×10¹⁶ GeV, T = 1.2×10¹⁶ GeV, and ε_CP = 8×10⁻⁷, the model predicts η = n_B/n_γ = 6.40×10⁻¹⁰, in excellent agreement with the observed value of 6.10×10⁻¹⁰ (4.9% difference). Crucially, the model operates without beyond-Standard-Model particles and makes testable predictions for CMB anisotropies (multipole ℓ ≈ 40, amplitude ∼ 2μK), Big Bang nucleosynthesis modifications (ΔY_p ≈ 0.001), and primordial gravitational wave spectra (tilt n_t ≈ -0.02). This geometric approach to baryogenesis provides a natural connection between particle physics and quantum gravity through the fundamental texture parameter τ, offering a paradigm shift from particle-based to geometry-based explanations of cosmic asymmetry