Dynamic Symmetry, Breaking Baryonic Residuality, and the Fractal Consistency Law

This paper develops a general theoretical framework connecting the Fractal Consistency Law (FCL), the Principle of Minimum Inconsistency (PMI), chirality-induced spin selectivity (CISS), baryogenesis, and the proposed Principle of Baryonic Residuality (PBR/PRB). The immediate motivation is the recent demonstration by Paltiel et al. (2026) that dynamic spin-involving processes in chiral media can distinguish between two enantiomers that are nearly equivalent in static energetic terms. The paper does not claim that chiral chemistry directly explains baryogenesis. Rather, it extracts a more abstract physical principle: static mirror equivalence does not imply dynamic equivalence once a system propagates through a structured medium. This principle is then applied, cautiously and formally, to the matter-antimatter problem. Within the FCL, matter and antimatter are treated as two near-symmetric branches whose final asymmetry may be understood as a dynamically selected residual rather than as a merely accidental leftover. The proposed FCL-FMIB-CISS/PRB model introduces an effective inconsistency functional over cosmological histories, a rolling distinction field or coarse-grained primordial asymmetry variable, and a derivative coupling to a baryon or baryon-minus-lepton current. The resulting toy Boltzmann system is designed to reproduce the observed nonzero baryon yield while remaining compatible with Sakharov-type requirements, washout constraints, big-bang nucleosynthesis, cosmic microwave background bounds, electric dipole moment limits, and proton-decay constraints. The core claim is not that the FCL has solved baryogenesis, but that it can frame baryogenesis as a problem of admissible residuality: the exactly symmetric state is formally clean but physically sterile, whereas a minimal nonzero residue is structurally fertile. In this interpretation, the visible matter of the universe is the fertile residue of a cancellation that could not be completed without eliminating the conditions for cosmic complexity.