Discrete Spacetime Network: Baryogenesis, Strong CP Phenomenology, and Charge Quantization Constraints

We extend the discrete spacetime network framework developed in Papers I and II to address three additional fundamental issues: (i) the origin of the cosmic matter–antimatter asymmetry, (ii) the strong CP problem, and (iii) electric charge quantization. Motivated by the characteristic network scale inferred in Paper II, (benchmark values near the electroweak scale), we present: (a) a phenomenological electroweak baryogenesis scenario where a network-induced out-of-equilibrium transition and a localized CP-violating source bias sphaleron transitions, yielding a baryon asymmetry of order 10−10 consistent with observations; (b) a hypothesis that the network microstructure modifies the weighting of topological sectors, effectively suppressing the impact of on low-energy observables via reduced topological susceptibility; and (c) a concise account of how compact gauge variables on a periodic discrete spacetime constrain the consistent normalization of U(1) charges (without claiming a unique explanation beyond established field-theoretic mechanisms). We emphasize the effective-field-theory nature of these arguments and outline concrete numerical and phenomenological consistency checks, particularly with neutron electric dipole moment limits, gravitational-wave searches, and lattice measurements of topological susceptibility.