Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk06 E 120010

A single verified arithmetic step

The declaration e_120010 is a single, machine-checked arithmetic statement. It says that a quantity called m2Num, evaluated at one specific set of six indices, equals eight times another quantity called explicitZ at the same indices. The proof is a direct computation, not an argument about physics. The statement is part of a larger file that checks hundreds of similar identities, each one a tiny piece of a long calculation.

To see what this means, think of m2Num and explicitZ as two different ways of computing a number from six small integers. The theorem asserts that for one particular choice of those integers, the two computations agree up to a factor of eight. The file's docstring describes this as part of a chunk where 256 cases are decided by direct computation. Each case is a separate theorem, and e_120010 is one of them.

In Recognition Science, this kind of result appears inside a larger project that builds physical structure from a ledger, a discrete record of events. The framework's library of formal theorems checks every step mechanically. But this particular declaration does not itself say anything about gravity, space, or the ledger. It is a computational lemma, a verified arithmetic fact that later steps might use. Its scope is exactly the identity it states.

What the declaration does not claim is just as important. It does not claim that the factor of eight has physical meaning. It does not claim that m2Num or explicitZ represent measurable quantities. It does not establish any connection between this arithmetic identity and the framework's larger theorems about dimensions or constants. Those claims, if they exist, live in other declarations with their own proofs. This one only verifies that two expressions happen to be related by a factor of eight at a single point.

theorem e_123333 : m2Num 1 2 3 3 3 3 = 8 * explicitZ 1 2 3 3 3 3 := by decide

theorem e_123333 : m2Num 1 2 3 3 3 3 = 8 * explicitZ 1 2 3 3 3 3 := by decide

theorem e_123333 : m2Num 1 2 3 3 3 3 = 8 * explicitZ 1 2 3 3 3 3 := by decide

What this page does not claim

This declaration does not claim any physical interpretation for the factor of eight. This declaration does not claim that m2Num or explicitZ correspond to measurable quantities. This declaration does not establish any connection to the framework's larger theorems about space or constants.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk06.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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