Paper 65: Admissibility-Limited Visibility Horizon in Holosphere Transport A Finite Redshift Ceiling from Cumulative Strain Budget Exhaustion

This paper explores whether long-range signal transport in Holosphere Theory has a natural visibility limit. In this framework, redshift is interpreted as cumulative angular phase delay that builds up as a signal is passed from one rotating Holosphere unit to the next. Each local handoff must satisfy an admissibility condition: the phase mismatch between neighbors cannot exceed a fixed threshold. While individual mismatches may be small, they accumulate along long transport corridors. If the total accumulated mismatch reaches the critical limit, further coherent transmission becomes impossible. We model this accumulation as a radial mismatch budget and define a coherence horizon as the distance at which the cumulative mismatch equals the admissibility threshold. Beyond this point, transport fails regardless of detector sensitivity. Mapping this radius to redshift using the Holosphere redshift relation yields a finite maximum observable redshift. The existence of such a ceiling depends structurally on the presence of a finite admissibility threshold, while its numerical value depends on calibrated strain-accumulation parameters. The hypothesis is directly testable. It fails if coherent luminous structure is observed persistently beyond the predicted maximum redshift under declared parameter choices, or if explicit transport simulations do not produce admissibility exhaustion at finite depth. The paper is limited to establishing the transport conditions under which a finite redshift ceiling emerges; it does not invoke echo physics, spectral filtering, or anomaly reinterpretations.