Paper T8: Angular Interference and Coherence Channels in the Holosphere Lattice

We model interference and transport in Holosphere Theory as geometry-gated, loop-certified routing of real angular strain—no complex amplitudes, no diffusive tails. A “coherence channel” is an ordered chain of phase-shift operators that carries quantized strain only while two conditions hold everywhere along the path: (1) triadic closure (loop returns the state mod 2π) and (2) a local gate at ε_c that caps the instantaneous strain |∇φ|. When either condition fails, the outcome is discrete—echo (back-propagation with Δt_echo ≈ L/c), redirect to a new admissible path, or collapse—rather than gradual leakage. The theory yields a compact, testable signature set. With the gate enforced, visibility V(Δφ) and survival length L_survive(ε) exhibit hard knees at |Δφ|, ε ≈ ε_c; directional anisotropy shows narrow EM-like cones versus broader strain-like lobes; junctions branch according to a logistic in the commutator norm (50/50 near Δ_comm ~ ε_c²); and stacked corridors maintain full gain G_L within a resonance band |δ| ≤ ε_c before collapsing. A lightweight, self-contained runner generates these KPIs and matched no-gate controls, producing figures and CSVs with a manifest for reproducibility. Operationally, ε_c is set upstream (photons via the 49D anchor curve; triadic media via the 49C ridge) while the SU(2) kinematics and selector invariances follow 49E; 49F provides audit gates and MF–MC acceptance patterns. The result is a falsifiable “snap” transport picture: channels either carry quantized angular strain along admissible loops, or they terminate with discrete echoes and redirects when closure or the gate is violated. This substrate is designed to feed directly into interaction diagrams and branching rules developed in T9.