Gravity Analysis Regge4 Dcontinuum Preflight Audit Continuum Preflight Honesty P

The preflight audit

A preflight audit is the checklist a project runs before a big computation, the way a pilot checks flaps and fuel before takeoff. In the Recognition Science framework, the machine-checked library of formal theorems carries out such an audit on a numerical relativity pipeline called Regge4DContinuumPreflight. The audit's job is to record, in a form the computer can verify, which targets in the pipeline are closed and which remain open. The declaration continuum_preflight_honesty_package is that audit's verdict: it states, as a proved theorem, that three named targets are closed and one named gap is open.

The three closed targets are the continuum Einstein-Hilbert target, the gauge zero target, and the SRS convergence target. In plain terms, the audit asserts that the pipeline's formal statements about these three items are no longer open problems: the computer checked that each one is marked closed. The fourth item, the gap action recovery target, is flagged as open, meaning the audit records that this target has not been closed. The entire audit rests on the framework's three standard axioms, with no extra assumptions added for this result.

What the audit does not claim is just as important as what it proves. It does not claim that the numerical relativity pipeline actually converges, that the Einstein equations are solved, or that any physical computation has succeeded. The audit is about the status of formal targets inside the framework's library, not about the behavior of a running simulation. It certifies that certain bookkeeping entries are marked closed or open, nothing more.

The value of such an audit is that it makes the state of a research program explicit and checkable. A reader who wants to know whether the continuum limit is settled can look at the audit and see, in one place, that three targets are closed and one gap remains. The audit does not make the remaining gap smaller or the closed targets more true; it makes the honest status visible.

/-- 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 claim that the numerical relativity pipeline converges or that the Einstein equations are solved. The audit does not claim that any physical computation has succeeded. The audit does not establish that the closed targets are physically meaningful, only that they are formally closed.

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: