horizonCombModelWitness
plain-language theorem explainer
Concrete inhabitation of the horizon-comb hypothesis bundle: a discrete patch class with exact Fibonacci microstate counts and a positive Planck-area unit. Anyone checking consistency of the Pillar-3 absorption-comb model cites this witness. The construction is a one-line structure instance: Fibonacci patch witness, reflexivity of the count identity, and ℓ_P² := 1.
Claim. There exists a horizon-comb model: a discrete horizon patch class whose level-$n$ microstate count equals the $(n+1)$-st Fibonacci number, together with a positive Planck area $\ell_P^2 > 0$ (here taken as the placeholder unit $1$).
background
This module is a falsifier-gated preflight of a candidate Pillar-3 mechanism: horizon area quantization with gap $\Delta A = 4\ln(\varphi),\ell_P^2$, which would convert via black-hole thermodynamics into an absorption comb at $GM\omega^* = \ln(\varphi)/(8\pi)$. Nothing here is a prediction; the load-bearing hypotheses are not derived from RS capital.
The structure being inhabited packages three IFs: (i) a discrete horizon patch class (P2, still open), (ii) microstate counts exactly Fibonacci, (iii) a positive Planck-area bookkeeping constant. Entropy is read as log-count and area as $A = 4\ell_P^2 S$, matching the sealed capital's definitional $S = N/4$ only as a model reading.
Active capital supplies continuous horizon area $4\pi R_s^2$, a real-valued ledger capacity bound, and a recognition ledger with boundary cost on a substrate bipartition. None of those force a discrete spectrum. The dead $\varphi$-rung echo-train route is explicitly not revived; this is an absorption/level-structure claim only.
proof idea
Pure structure inhabitation. The patch class field is filled by the sibling Fibonacci patch witness. The count identity is discharged by rfl against that witness's definitional Fibonacci counts. Planck area is set to the placeholder unit $1$, with positivity from zero_lt_one. No lemmas from the forcing chain or ledger algebra are invoked.
why it matters
Gives a concrete model object so downstream (still unwritten) comb-chain lemmas can quantify over an inhabited hypothesis bundle rather than an empty type. It carries no physics: $\ell_P^2 = 1$ is a unit placeholder, and Fibonacci counts are inserted, not forced.
Pillar 3 remains open. The module doc states that kinematic algebra and one asymptotic entropy-gap theorem are real capital, but quantization itself is not forced; the P1 scaling falsifier already blocks a uniform ledger gap at the current formalization (scaling_family_blocks_ledger_gap, ledger_boundary_cost_no_uniform_gap). The adjacent P3 target asks for the exact per-level gap $A(n+1)-A(n)=4\ln(\varphi),\ell_P^2$ for all $n$, which would need P2's patch class from capital plus an exact counting theorem. No used-by edges yet; this is scaffolding for that open chain, not a closed derivation step (T0–T8, RCL, and the mass ladder are untouched).
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