Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk11 E 230010

A kernel-checked arithmetic fact

The declaration e_230010 is a single, narrow theorem in the Recognition Science framework's machine-checked library of formal theorems. It states that a quantity called m2Num, a numerical function defined within the framework's gravity analysis, equals eight times another quantity called explicitZ for a specific set of six input values. The proof is by decide, meaning the Lean kernel directly computes and verifies the arithmetic; it is a concrete computational check, not a general law.

This theorem is part of a larger file, ReggeExactMidpointM2TTIdentity4DM2NumChunk11.lean, which contains dozens of similar statements, each covering a particular combination of six indices. The file's purpose appears to be verifying a family of identities related to a four-dimensional gravity analysis, likely involving Regge calculus, a discrete approximation to general relativity. The specific indices in e_230010 are not shown in the provided evidence, but the pattern of neighboring theorems suggests it covers a case like (2,3,3,3,3,3) or a similar combination.

In Recognition Science, this declaration does not establish any new physics or a broad principle. It confirms a specific arithmetic relation for one point in a large grid of possible values. The framework's broader claims, such as forcing the golden ratio or three spatial dimensions, are not involved in this theorem. The declaration's role is purely bookkeeping: it checks that a particular numerical identity holds, adding one more verified tile to a larger mosaic.

What the declaration does not claim is equally clear. It does not prove the entire identity family, only this instance. It does not interpret the physical meaning of m2Num or explicitZ; those definitions are elsewhere. It does not connect to the framework's constants or particle ladder. It is a small, exact, and verified arithmetic fact, useful for building confidence in a larger computational structure.

theorem e_233333 : m2Num 2 3 3 3 3 3 = 8 * explicitZ 2 3 3 3 3 3 := by decide

theorem e_233333 : m2Num 2 3 3 3 3 3 = 8 * explicitZ 2 3 3 3 3 3 := by decide

What this page does not claim

This theorem does not prove the entire identity family, only a single instance. It does not interpret the physical meaning of the quantities m2Num or explicitZ. It does not connect to the framework's constants or particle ladder.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk11.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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