Paper 45: Coherence Horizon, Visibility Limits, and Relativistic Transformation

Paper 45 reframes relativistic effects and cosmic visibility limits as operational outcomes of phase-compatible transport in a discrete, rotating Holosphere lattice. Light is modeled as a bidirectional coherence handoff across nested shells under a declared closure+gate rule. From this rule we define a coherence horizon: a transition band in source radius where the probability that emissions remain optically visible at an observer collapses sharply. Excitations beyond this band do not vanish; they persist as phase-opaque (dark-channel) transport that remains conserved in the effective bookkeeping while failing optical registration. We implement a program-generated KPI pipeline that outputs visibility versus radius, a shell-conditional redshift proxy on the visible subset, and the complementary dark-channel fraction. The horizon emerges robustly in 1D and 2D and persists in full 3D, where it becomes a directional field r50(θ,φ) rather than a single radius. A single handoff-strength parameter (relax) shifts the horizon markers monotonically in both 2D and 3D while preserving a bounded transition width and nontrivial directional structure. With Paper 58 and Paper 59a treated as canonical for brightness and angular-size diagnostics, Paper 45’s contribution is the relativity/visibility partition: which redshift components act as timing stretch versus viability loss, and how coherence gating sets the boundary of what can be observed.