Structural Baryogenesis from Fractal Flavor Holonomies and Minimal Inconsistency

We propose a structurally constrained mechanism for baryogenesis within the Fractal Consistency Law (FCL), in which CP violation is not introduced through arbitrary complex phases but emerges from gauge-invariant holonomies of an effective flavor graph governed by a Principle of Minimal Inconsistency (PMI). The flavor phase sector is described by a positive quadratic functional in which W is a strictly positive rigidity matrix, B is the cycle-edge incidence matrix, n labels a winding sector, and μ > 0 fixes the holonomic penalty. The associated stationarity equation has a unique global minimizer because its Hessian is strictly positive definite. The analytically selected vacuum fixes the physically relevant cycle holonomies Φ (C). We then embed these holonomies into an effective heavy-scalar decay sector and show that the CP asymmetry takes a structural form in which the standard loop and phase-space factors are separated from a CP phase supplied by graph topology. Coupled to a one-flavor Boltzmann system, this mechanism generates a baryon asymmetry without postulating ad hoc CP phases. A cleaned coarse scan and a refined local scan reveal a finite low-error viability band in the (K, Φ) plane rather than an isolated fine-tuned point. A representative benchmark yields ηB = 6. 10 × 10^-10, in agreement with the observed baryon-to-photon ratio. The framework remains an effective theory and does not claim a complete ultraviolet realization of the FCL substrate. Its central contribution is narrower and more defensible: it provides an analytically controlled, graph-topological source of CP violation that can be propagated through standard out-of-equilibrium baryogenesis dynamics.