Inflation and Baryon Asymmetry in Geometric Emergent Unity Theory (GEUT): A Unified Geometric Mechanism on d = 6 Ramanujan Graphs

We present a unified mechanism for cosmological inflation and baryon asymmetry generation within the Geometric Emergent Unity Theory (GEUT) framework based on d = 6 Ramanujan graphs. The model predicts:• Inflation with Hubble parameter Hinf ≈ κ −1/4 ≈ 9.5 TeV,driven by fluctuations of the twistor matrix determinant det(Z†Z)• Baryogenesis via graph topological defects violating CP and B − L, yielding the ratio η ≈ 6 × 10−10• Dark matter connection: axion-like particle mass mDM ≈ 10−3 eV and ratio ΩDM/ΩB ≈ 5All parameters derive from the fundamental length scale ℓ = κ 1/2 ≈ 10−18 m.