Paper B: Topological Charge Transport in the Holosphere Lattice A Defect Flux Law on Discrete Shells

This paper develops and tests a flux–drift decomposition for topological defect transport in the Holosphere lattice. Building on the vacancy surface law of Paper A, we derive a discrete continuity equation that relates shell-level anomalies to inter-shell flux and intra-shell drift. The flux term represents coherent transport of disclinations across shell boundaries, while the drift term captures bounded stochastic rearrangements within each shell. We establish conditions under which the continuity-based flux estimator reproduces geometric fluxes up to a scalar calibration, defining a falsifiability criterion based on normalized error. Constraints are derived from topology, bounded variation, stochastic concentration, and entropy scaling. In particular, entropy production per shell decays as 1/k^4, ensuring that cumulative entropy remains finite and consistent with holographic bounds. Failure modes, such as volumetric nucleation or long-range correlated drift, are shown to break the decomposition in predictable and testable ways. Numerical experiments confirm the theory. Cuboctahedral lattice simulations validate bounded anomalies, divergence-free flux, and subextensive entropy growth. SU(2) triadic transport sweeps extend the analysis dynamically, demonstrating calibrated equivalence in coherent regimes and failure under high noise or low hopping rates. The resulting phase diagram provides a falsifiable boundary between coherent and incoherent transport. This work completes the bridge from geometry (Paper A) to dynamics (Paper 25) to thermodynamics (Paper C) in the Holosphere framework. The flux–drift law emerges as a predictive, testable conservation structure that links curvature-induced frustration to entropy production in discrete curved systems.