Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk14 E 320013

A machine-checked arithmetic check

In the Recognition Science framework's machine-checked library of formal theorems, the declaration e_320013 is a small, exact arithmetic statement. It says that for a specific set of six indices, the number m2Num 3 2 3 2 0 1 equals eight times the number explicitZ 3 2 3 2 0 1. The proof is by the computer's own decision procedure, meaning the equality is checked by direct computation rather than by a long chain of reasoning.

The statement belongs to a large family of similar identities, chunk 14 of a larger verification effort, each asserting that m2Num equals eight times explicitZ for a different index tuple. The docstring for the chunk describes this as m2Num = 8·explicitZ. This is a bookkeeping identity: it verifies that one internally defined quantity is exactly eight times another internally defined quantity at a specific point.

What this declaration does not do is more important than what it does. It does not state a physical law, derive a constant, or connect to any measurement. It does not say what m2Num or explicitZ mean physically, or why the factor of eight appears. The declaration is a formal, computational check that two defined functions agree at one point, nothing more. Its role is to build confidence in the internal consistency of a larger formal development, not to make a claim about the world.

A reader should take this as evidence that the library is being assembled carefully, one verified arithmetic step at a time. The value of e_320013 is that it is a proved, exact statement in a large formal system, and the honest summary is that it is exactly that and no more.

theorem e_323201 : m2Num 3 2 3 2 0 1 = 8 * explicitZ 3 2 3 2 0 1 := by decide

theorem e_323201 : m2Num 3 2 3 2 0 1 = 8 * explicitZ 3 2 3 2 0 1 := by decide

What this page does not claim

This declaration does not state or prove any physical law about gravity. This declaration does not assign physical meaning to the numbers m2Num or explicitZ. This declaration does not derive any constant or connect to any experimental measurement.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk14.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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