Paper K: Holosphere Predictive Dynamics and the Emergence of Coherent Information Processing

This paper develops a concrete transport mechanism for structured information transfer in the Holosphere lattice. Guided line-defect modes (“filaments”) couple at boundaries to structured radiation modes (“holophotons”) carrying triadic polarization, orbital angular momentum (OAM), and discrete phase labels. A receiving filament captures these carriers while preserving their labels under weak off-diagonal coupling. We establish guided-mode existence in a line-defect tight-binding model via fiber decomposition and the Birman–Schwinger principle, with exponential localization from Combes–Thomas bounds. In a single-mode input–output reduction, we derive a closed-form envelope for peak coherent transfer fidelity,F_max ≤ [4M/(1+M)^2]·[g^2/(g^2+κ^2)],where M is spatial mode overlap, g is interface coupling, and κ is radiative loss. Numerical amplitude-model simulations reproduce a finite coherent regime consistent with this envelope and show near-unit fidelity at large overlap and strong coupling. We further analyze cross-boundary communication in the presence of incoherent bulk regions, showing that free radiation decays exponentially with separation and that viable transfer requires either a guided conduit, boundary port resonators with sufficient quality factor, or active repeater chains satisfying a multiplicative link budget. In the absence of these structures, only a strain-mediated channel remains, with parametrically lower information capacity. The framework provides explicit regime boundaries, conservation laws, and falsifiable operating criteria for laboratory analogues and large-scale filament-aligned polarization tests.