IndisputableMonolith.Gravity.SevenGaps.Gap2SignatureBlockerAttackAudit
Audit module for the Wave C1 R4 terminal attack on the Fin-8 oscillatory-tail signature blocker in the Seven Gaps gravity stack. It records that the blocker proposition remains unproved, that uniform single-signature mass concentration for large shells is refuted as an asymptotic strategy, and that the attack stalls after reduction plus Burnside mass lemmas. Gravity workers cite it for honest status of Gap 2, not for a closed theorem.
claimStatus audit of the attack on the Fin-$8$ oscillatory-tail signature blocker: the target proposition is not proved; routes that seek uniform single-signature mass concentration on large shells are refuted under the banked Burnside identity; the reached tier is reduction plus Burnside mass lemmas plus stall diagnosis.
background
In the Recognition Science gravity program, the Seven Gaps track isolates discrete obstructions between the forced eight-tick (period $2^3$) structure and continuum gravitational phenomenology. Gap 2 concerns signature-level control of oscillatory tails on the finite eight-point (Fin-8) configuration that encodes the octave.
The imported attack module targets a blocker proposition meant to rule out, or tightly constrain, an oscillatory tail attached to a Fin-8 signature. The audit sits one layer above that attack: it does not introduce new physics definitions, but classifies what the attack actually achieved. Upstream documentation states the honest status explicitly: the blocker Prop is not proved, and routes (a)/(b) that bank on single-signature mass concentration for all large shells fail as a uniform asymptotic strategy once the banked Burnside identity is in force.
The local setting is therefore forensic rather than constructive: tier labels, refutation of a uniform strategy, and a stall diagnosis after reduction and Burnside mass lemmas.
proof idea
This is an audit module, not a proof module. Its structure is documentary: import the terminal attack on the Fin-8 oscillatory-tail signature blocker; record the tier reached (reduction, Burnside mass lemmas, stall diagnosis); state that the blocker proposition remains unproved; and mark routes that demand uniform single-signature mass concentration on large shells as refuted under the banked Burnside identity. No new lemmas are closed here; the argument is status classification of the imported attack.
why it matters in Recognition Science
Within the Gravity / Seven Gaps line, Gap 2 needs a clear account of which signature-blocker strategies survive contact with Burnside counting on the eight-tick octave. This audit prevents silent overclaim: it freezes the Wave C1 R4 terminal attack at tier (d) and advertises that the blocker is still open. Downstream consumers of Gap 2 (continuum matching, tail estimates, or any theorem that would assume the oscillatory-tail blocker) must treat the proposition as unresolved rather than banked. The module feeds no proved parent theorem (used-by is empty); its value is negative space in the forcing and gravity stack: it documents a dead uniform-asymptotic route so later work can pivot without re-deriving the refutation.
scope and limits
- Does not prove the Fin-8 oscillatory-tail signature blocker proposition.
- Does not supply a replacement asymptotic strategy after refuting uniform single-signature mass concentration.
- Does not close Gap 2 or discharge any continuum gravity matching theorem.
- Does not weaken or alter the banked Burnside identity used in the refutation.
- Does not introduce new physical constants, mass-ladder claims, or T0–T8 forcing steps.