Gravity Analysis Regge Bloch Star Edge Origins M2 Eval4 Daudit

The audit package

In Recognition Science, gravity analysis proceeds through a chain of forced results, and each link needs a clean bill of epistemic health. The module named gravity analysis (the framework's study of how recognition costs shape gravitational structure) contains an audit package: a machine-checked collection of formal theorems. The audit checks four named theorems that concern edge origins in a Regge-Bloch star configuration, a combinatorial structure used to model discrete spacetime edges. The package proves that all four theorems together hold, and that a certain recovery flag, gapActionRecovery, is false.

The plain-language meaning is twofold. First, the four theorems are consistent: they can all be true at once, and the proof is constructive, not assumed. Second, the audit certifies that these theorems do not secretly depend on the framework's ledger of recognition events or on a mechanism called gap action recovery (a procedure that would restore a gap in the recognition cycle). The flag being false means that no such recovery is triggered in this part of the analysis. This is a scoping result: the edge-origin theorems stand on their own, without pulling in the full ledger machinery.

The audit also records the axiom footprint. Running #print axioms on the four theorems yields exactly the three standard axioms of the ambient type theory: propositional extensionality, choice, and quotient soundness. No framework-specific axioms are added. This is the same clean footprint that the rest of Recognition Science claims, so the gravity edge-origin results do not introduce hidden assumptions. The audit is a theorem, not a measurement or a model: it is proved in the machine-checked library, with no unproved assumptions beyond the three standard ones.

What this changes for a reader: you can trust that these four gravity-analysis theorems are internally consistent and axiomatically lean. They do not secretly depend on the ledger or on gap recovery, and they do not expand the framework's postulate base. The audit is a certificate of hygiene, not a new physical prediction. It tells you where the result lives in the framework's epistemic structure, not what the result says about gravity itself.

theorem edge_origins_m2_audit_package :
    M2EdgeOriginsPlusSymbolDirEval ∧
      M2EdgeOriginsCrossSymbolDirEval ∧
        M2EdgeOriginsDecoyGaugeEval ∧
          M2EdgeOriginsCounterexM1100E2Eval ∧
            edgeOriginsM2EvalStatus.gapActionRecovery = false :=
  ⟨M2EdgeOriginsPlusSymbolDirEval_holds, M2EdgeOriginsCrossSymbolDirEval_holds,
    M2EdgeOriginsDecoyGaugeEval_holds, M2EdgeOriginsCounterexM1100E2Eval_holds, rfl⟩

theorem edge_origins_m2_audit_package :
    M2EdgeOriginsPlusSymbolDirEval ∧
      M2EdgeOriginsCrossSymbolDirEval ∧
        M2EdgeOriginsDecoyGaugeEval ∧
          M2EdgeOriginsCounterexM1100E2Eval ∧
            edgeOriginsM2EvalStatus.gapActionRecovery = false :=
  ⟨M2EdgeOriginsPlusSymbolDirEval_holds, M2EdgeOriginsCrossSymbolDirEval_holds,
    M2EdgeOriginsDecoyGaugeEval_holds, M2EdgeOriginsCounterexM1100E2Eval_holds, rfl⟩

What this page does not claim

This module does not derive any gravitational constant or force law. The audit does not prove that the edge-origin theorems are physically true, only that they are consistent and axiom-clean. The module does not establish that gap action recovery is impossible, only that it is not active here.

Verify this page

Every tagged claim above names its theorem. To check one yourself rather than trust this page, elaborate the source module with Lean 4 and audit its axiom basis:

$ lake env lean IndisputableMonolith/Gravity/Analysis/ReggeBlochStarEdgeOriginsM2Eval4DAudit.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

A page whose claims cannot be reproduced this way does not ship. In production, every anchor links to the exact declaration in the public source release, and this block carries the build receipt for the page itself.

Derived articles

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