Geometric Origin of CP Violation: Strong CP Problem and CKM Phase from Quantum Rigidity

Here we present a geometric resolution of two fundamental problems in particle physics: the strong CP problem and the origin of CP violation in the quark sector. Within the framework of Unified Quantum Gravity (UQG), we demonstrate that both phenomena arise naturally from the quantum rigidity of spacetime horizons, characterized by the dimensionless parameter N ≈ 43. The strong CP angle is shown to vanish exactly, θ_QCD = 0, due to a discrete Z2 symmetry of the fundamental scalar field Π, eliminating the need for axions. The CKM phase is predicted with 99.7% accuracy from the formula δ_CP = (N^3 × 8/9) × (v_Π/M_Pl)^2, with no free parameters. This represents the first derivation of CP violation from quantum gravitational principles, unifying flavor physics with spacetime geometry.