← NS-ANP / ANP-08 · Horizon Transmission Rigidity, Fresh-Source Cascade, Budgeted CN3, and Actual-Branch Shadowing Audit

v0.1 Cycle IV 2026-08-15

ANP-08: Horizon Transmission Rigidity, Fresh-Source Cascade, Budgeted CN3, and Actual-Branch Shadowing Audit

Horizon Transmission Rigidity, Fresh-Source Cascade, Budgeted CN3, and Actual-Branch Shadowing Audit

ANP-07 reduces horizon-persistent-child failure to a D_HTRANS-or-D_HCOMP dichotomy; on bounded normalized C3_W branches, a considerable part of D_HCOMP has already been excluded by local compactness and causal-edge closure. This round asks: is horizon-transmission collapse itself a new causal obstruction? The answer: no. Via ANP-03's parent-extraction inequality, horizon-transmission collapse decomposes into one of three: source-ratio atomization, sub-state residence blowup, or partner-amplitude-action blowup. Source-ratio atomization implies divergent effective source-parent multiplicity, which — under the existing DRC shell-grouping architecture — is routed to a dissipation-span/driver-action dichotomy. Residence blowup is recursively re-cut by the corrected ANP-06 dual ledger into propagation inheritance or a shorter fresh-source window. Partner-action blowup is an explicit action cascade. The horizon-cut source-norm theorem proves: loss of propagation inheritance on a contracting window forces normalized shell forcing to reach at least the inverse-window order. However, profile compactness or convergence of a normalized finite chain does not by itself shadow the actual chain in the original solution — this round gives an explicit counterexample. D_HTRANS is therefore removed as a primitive term, but the actual HP1/branch shadowing and scale/global-norm/spatial escape remain OPEN.

Connections

Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.

Loading…