HorizonCombPreflightStatus
plain-language theorem explainer
Records eight Boolean status flags for the φ-horizon absorption-comb preflight: what existing RS capital forces versus what remains model-level. Gravity auditors cite it to read the honest forced fraction (kinematics and one asymptotic entropy gap) without mistaking the candidate area quantization for a theorem. The structure is pure documentation scaffolding; its canonical inhabitant is filled by rfl-forced constants.
Claim. A record of eight Boolean flags for the horizon-comb preflight: (P1) whether a continuous admissible scaling family with $A(\lambda e)=\lambda^2 A(e)$ exists at the current formalization level; (P1 consequence) whether the area gap $\Delta A=4\ln\varphi\,\ell_P^2$ is forced; (P2) whether a discrete horizon state class sits in RS capital; (P3) whether the asymptotic entropy-gap theorem ($\ln F$ ratio $\to\ln\varphi$) has landed, and whether the exact per-level area gap is derived; (P4) whether capital for an adjacent-sector transition operator exists; whether the absorption-comb mechanism is forced; and whether the dead $0.618$ echo-train discriminator is being revived.
background
This module is a falsifier-gated preflight of a candidate MODEL for Pillar 3 of the Seven Gaps program: horizon area quantization with gap $\Delta A=4\ln\varphi,\ell_P^2$, which via black-hole thermodynamics would yield a repeated absorption comb at $GM\omega_*=\ln\varphi/(8\pi)\approx 0.019147$ for Schwarzschild. Nothing here is a prediction. The sealed BH entropy subtree supplies only continuous real area $A=4\pi R_s^2$ and a scale-covariant capacity bound, not a spectrum. The active RecognitionLedger capital is a real-valued cost on a finite lattice with RCL subadditivity and a real boundary cost; again no quantization.
P1 concerns a continuous scaling family of admissible configurations. That family exists and is kernel-checked, and it blocks any uniform ledger gap (the scaling falsifier fails the mechanism at the present formalization level). P2 would need a discrete horizon state class in capital; it is absent. P3 has an asymptotic entropy-gap fragment plus a model chain, not an exact per-level gap from capital. P4 needs a transition operator between adjacent sectors; no capital. The dead $\varphi$-rung echo-train route (damping $1/\varphi\approx 0.618$) stays dead: this preflight is an absorption/level-structure claim, not an echo time series.
proof idea
No proof body: this is a structure declaration whose fields are named Booleans with field doc-comments fixing the intended meaning of each flag. The mathematical content lives in the canonical inhabitant horizonCombPreflightStatus, which assigns concrete true/false values by definition, and in the rfl-forced theorem horizonCombPreflightStatus_flags that re-exports those equalities as a conjunction. Upstream foundation and constants edges (canonical arithmetic, cost projector, RS-native units status, gap derivation) are ambient capital references for the module, not proof steps of this structure.
why it matters
The structure is the typed checklist that keeps Pillar 3 honest. Downstream, horizonCombPreflightStatus is the canonical record (P1 scaling family true; area gap forced false; discrete state class false; asymptotic entropy gap true; exact area gap false; transition capital false; mechanism forced false; echo discriminator revived false), and horizonCombPreflightStatus_flags packages those equalities as a documentation theorem. In the Recognition framework this separates what capital actually forces (kinematic algebra, Fibonacci/asymptotic entropy-gap fragment, continuous area scaling) from the unforced quantization content that would be needed to derive $\Delta A=4\ln\varphi,\ell_P^2$ and the absorption comb. It explicitly refuses to revive the killed $0.618$ echo-train discriminator. Pillar 3 therefore stays open: the forced fraction is kinematics plus one asymptotic theorem; physical quantization is $0%$ forced.
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