Primordial Residual Baryogenesis

The observed matter-antimatter asymmetry of the universe is one of the central open problems in modern cosmology and particle physics. Standard cosmology requires a small but nonzero baryonic excess, usually quantified by a baryon-to-entropy ratio of order YB ∼ 10−10, after an early epoch in which matter and antimatter were expected to be produced in nearly symmetric amounts. Conventional baryogenesis mechanisms address this problem through the Sakharov conditions: baryon-number violation, C and CP violation, and departure from thermal equilibrium. This paper develops an independent framework called Primordial Residual Baryogenesis (PRB), which interprets the observed baryonic excess as a physically admissible nonzero residual floor rather than as a merely accidental survival after annihilation. The proposal is constructed by joining two layers. The first is the Physical Residuality Principle (PRP), according to which physically admissible minimization does not in general imply exact nullity. The second is the Fractal Consistency Law (FCL), in which physical realization is governed by a Principle of Minimum Inconsistency (PMI) acting on admissible configurations. Within this combined architecture, the baryon asymmetry is modeled as a residual baryonic lower bound generated during early-universe non-equilibrium dynamics by a rolling distinction background Ξ(t), whose derivative couples to a baryon-minus-lepton current and induces an effective chemical potential. The paper formulates the baryonic residual functional, states the admissibility assumptions required for the residual floor to be meaningful, presents an effective Lagrangian, derives the associated baryon yield, maps the construction onto the Sakharov conditions, and gives a Boltzmann-level implementation with washout. It also identifies observational and theoretical constraints, including CMB baryon isocurvature, BBN consistency, electric dipole moments, flavor violation, collider limits, neutrino-sector constraints, and proton-decay bounds. The result is not claimed to be a completed microscopic proof of the baryon asymmetry. Rather, it is a theorem-bearing mechanism template: a disciplined route by which the PRP can move from compatibility with the matter-antimatter problem to a formal explanatory model within the broader FCL program.