FCBP-06: Causal-to-Audit Transfer, Combined-Invisible Cascades, Paid-Side Absorption, and Cycle-VI Closure Audit

Causal-to-Audit Transfer, Combined-Invisible Cascades, Paid-Side Absorption, and Cycle-VI Closure Audit

FCBP Cycle VI has, round by round, closed or reduced the universal one-derivative forcing gap, the filtered near-field derivative loss, the comparable-annulus absolute-value barrier, the existence of a non-summable telescoping schedule, moving-filter endpoint compatibility, horizon time-thickness geometry, and the temporal moving-window threshold. After FCBP-05, the remaining interfaces are CAR (causal-to-audit), MWG (moving-window growth), INV (invisible cascade), and PAID (paid side). This round audits whether the existing finite-window Navier–Stokes obstruction theory already closes these four modules — the answer is that they cannot be closed unconditionally, but the audit clearly separates what has already been built from what is genuinely missing. It splits causal-to-audit realization into four logically independent layers, and proves the "replication-gate NO-GO": inserting the dangerous causal marker itself as an observed gate coordinate produces only a zero-native-defect formal quotient separation/detection, and cannot count as a new coercive bridge (anti-cheating rule: a replicated dangerous gate is not a coercive extraction theorem). Proves a native CAR compiler, a Type-I local energy upper bound (though a signed-variation barrier shows bounded normalized endpoint energy does not control backscatter variation), and a paid-side absorption compiler (conditional: holds when the combined paid-side coefficient is strictly less than one). Concludes that Cycle VI produces no unconditional forest coercive budget; the final obstruction is no longer a scale/filter/schedule construction but minimal non-tautological obstruction extraction and the rigidity of NS-realizable combined invisible/paid-side recurrence objects — formally handing off to NS-MORP.