Paper K: Holosphere Predictive Dynamics Vacancy–Recursion Unification and the Hypothesis that the Universe Thinks

We propose Holosphere Predictive Dynamics, a concrete mechanism by which the Holosphere lattice can support inference-like communication across scales. Guided filament modes couple at boundaries to structured radiation we call holophotons, which carry triadic polarization, orbital angular momentum, and a triadic phase key. Receiving filaments capture these carriers with conserved labels. On the theory side we prove the existence of guided filament modes in a line-defect model, show exact conservation of orbital angular momentum and small bounded leakage for triadic polarization, and derive a closed-form envelope that upper bounds peak transfer fidelity as a function of spatial overlap, coupling, and loss. On the simulation side phase-referenced sweeps identify a coherent regime with near-lossless transfer and positive transfer entropy, in agreement with the envelope. We also address cross-boundary communication across incoherence zones: free links vanish, but guided conduits, boundary port resonators, and repeater chains admit a practical link budget with clear design rules. The framework is falsifiable in laboratory analogues such as topological photonics and skyrmion chains, and via cosmological probes that test polarization correlations along large-scale filaments. Together these results move the Holosphere from static geometry to a testable predictive network.