Gravity Analysis Regge4 Dcontinuum Preflight Audit

The preflight audit

In numerical relativity, a preflight audit is the checklist a simulation must pass before its results are trusted: the discretization scheme is consistent, the gauge conditions are fixed, and the continuum limit is actually approached as the grid refines. The Recognition Science framework applies the same discipline to its own four-dimensional gravity construction, called Regge4DContinuumPreflight, and the audit in question is the formal record that this checklist is complete.

The audit is a theorem in the framework's machine-checked library of formal theorems. It states that four specific status flags are closed: the continuum Einstein-Hilbert target is no longer open, the gauge-zero target is no longer open, the named convergence target is no longer open, and the gap action recovery flag is true. In plain language, the formal development now records that the continuum limit, the gauge fixing, and the convergence property each have their targets met, and the action recovery from the gap is achieved. The proof is by reflexivity, meaning the flags literally evaluate to their closed values.

The audit also records an honesty note dated 2026-07-21: the geometric continuum symbol target was previously open, and the gap flag flipped to true once a certain state space was inhabited. This is the kind of bookkeeping that keeps large formal developments trustworthy: every claim is either proved or explicitly marked as a target, and the audit exists precisely to catch any target that silently remains open.

What this establishes for a reader is that the framework's four-dimensional gravity program has passed its own internal gate. The audit does not prove that the continuum limit exists in the physical sense, nor that the construction matches observed gravity. It proves that the formal development has no remaining open targets in these four respects, which is a necessary condition for the larger claim that the framework derives general relativity from its recognition ledger. The audit is a statement about the state of the formal library, not about the physical world.

/-- Honesty: geometric ContinuumSymbolIs targets closed (2026-07-21,
SRSConvergesEH4D); gap flipped true with S_RS inhabited. -/
theorem continuum_preflight_honesty_package :
    regge4DContinuumPreflightStatus.continuumEHTargetOpen = false ∧
      regge4DContinuumPreflightStatus.gaugeZeroTargetOpen = false ∧
        regge4DContinuumPreflightStatus.srsConvergesNamedOpen = false ∧
          regge4DContinuumPreflightStatus.gapActionRecovery = true :=
  ⟨rfl, rfl, rfl, rfl⟩

/-- Honesty: geometric ContinuumSymbolIs targets closed (2026-07-21,
SRSConvergesEH4D); gap flipped true with S_RS inhabited. -/
theorem continuum_preflight_honesty_package :
    regge4DContinuumPreflightStatus.continuumEHTargetOpen = false ∧
      regge4DContinuumPreflightStatus.gaugeZeroTargetOpen = false ∧
        regge4DContinuumPreflightStatus.srsConvergesNamedOpen = false ∧
          regge4DContinuumPreflightStatus.gapActionRecovery = true :=
  ⟨rfl, rfl, rfl, rfl⟩

/-- Honesty: geometric ContinuumSymbolIs targets closed (2026-07-21,
SRSConvergesEH4D); gap flipped true with S_RS inhabited. -/
theorem continuum_preflight_honesty_package :
    regge4DContinuumPreflightStatus.continuumEHTargetOpen = false ∧
      regge4DContinuumPreflightStatus.gaugeZeroTargetOpen = false ∧
        regge4DContinuumPreflightStatus.srsConvergesNamedOpen = false ∧
          regge4DContinuumPreflightStatus.gapActionRecovery = true :=
  ⟨rfl, rfl, rfl, rfl⟩

What this page does not claim

The audit does not prove that the continuum limit exists physically or that the construction matches observed gravity. The audit does not establish that general relativity is derived from the recognition ledger; it only closes four internal status flags. The audit does not describe the numerical method or the discretization scheme in physical terms.

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/Regge4DContinuumPreflightAudit.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

This page is generated by a question-recursion engine: the questions its answers raise become the next pages. The current agenda, with open targets marked red: