Gravity Analysis Srsconverges Eh4 Daudit Srs Audit Package

The audit package

An audit package is a bundled set of machine-checked proofs that certify a body of work meets its own stated standards. The declaration srs_audit_package, in the framework's machine-checked library of formal theorems, performs this role for a specific analysis called SRSConvergesEH4D. It establishes, in one bundled theorem, that five separate consistency conditions all hold simultaneously: the analysis's central inhabitant exists, its gap-action recovery mechanism works, the ledger's benchmark for that recovery passes, a decomposition at the edge of the theory closes, and the core convergence statement for four-dimensional Einstein-Hilbert gravity is closed.

The key fact is that these are not five separate claims that happen to be true. The audit package proves them as a single conjunction, each component verified by a direct computation or a previously established closure proof. The proof term shows each conjunct reduces to definitional equality (rfl) or invokes a named closure theorem. This means the framework's internal bookkeeping for this analysis is complete: the ledger, the discrete record of recognition events the framework tracks, shows green flags for the inhabitant and the recovery benchmark together.

What the audit package does not do is prove that four-dimensional Einstein-Hilbert gravity is physically correct. The name SRSConvergesEH4D refers to a convergence statement within the framework's own formal system, not a claim about the empirical adequacy of general relativity. The audit certifies internal consistency, not physical truth. It also does not claim that the gap-action recovery mechanism is the only way to close the analysis, nor that the edge decomposition is unique. The audit's scope is exactly the five listed conditions, nothing more.

In practical terms, the audit package functions as a quality gate. A reader who wants to build on the SRSConvergesEH4D analysis can check this single theorem and know the framework's own consistency standards are met for those five conditions. The value is in the bundling: instead of auditing five separate proofs, one machine-checked declaration certifies the whole set at once. This is the framework's answer to the question of whether its four-dimensional gravity analysis is internally sound: yes, as far as its own stated closure conditions go, and the proof is recorded in a form any machine can verify.

theorem srs_audit_package :
    srsConvergesEH4DStatus.srsInhabited = true ∧
      srsConvergesEH4DStatus.gapActionRecovery = true ∧
        FullTheoryLedger.fullTheoryBenchmarks.gap_action_recovery = true ∧
          edge_tt_decomposition ∧
            S_RS_converges_EH_4d :=
  ⟨rfl, rfl, rfl, edge_tt_decomposition_closed,
    S_RS_converges_EH_4d_closed⟩

theorem srs_audit_package :
    srsConvergesEH4DStatus.srsInhabited = true ∧
      srsConvergesEH4DStatus.gapActionRecovery = true ∧
        FullTheoryLedger.fullTheoryBenchmarks.gap_action_recovery = true ∧
          edge_tt_decomposition ∧
            S_RS_converges_EH_4d :=
  ⟨rfl, rfl, rfl, edge_tt_decomposition_closed,
    S_RS_converges_EH_4d_closed⟩

What this page does not claim

The audit package does not prove that four-dimensional Einstein-Hilbert gravity is physically correct. The audit package does not claim the gap-action recovery mechanism is unique. The audit package does not cover any consistency conditions beyond the five listed.

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/SRSConvergesEH4DAudit.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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