Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk10 E 220000

The chunk's scope

The declaration e_220000 is one entry in a large, systematic verification effort. The library checks, for many combinations of six indices, that a quantity called m2Num (a computed number in a gravity analysis) equals eight times another quantity called explicitZ (a reference value defined for the same indices). The proof for each case is a direct computation: the theorem states the equality and the proof is simply by decide, meaning the kernel checks it by evaluating both sides.

This particular declaration covers the index pattern starting with 2, 2, 2, 2 and then varying the last two indices through the values 0, 1, 2, 3. The equality holds for all sixteen combinations of those last two indices. The broader chunk covers many more patterns, all with the same form: m2Num i j k l m n = 8 * explicitZ i j k l m n. The work is a verification of a pattern, not a derivation of new physics.

In Recognition Science, the framework models reality as a ledger, a discrete record of recognition events. The cost of recognition is forced by a proved theorem, and from that theorem a chain of results forces constants and dimensions. This declaration sits inside that framework's library, but it does not itself prove any of those grand claims. It verifies a numerical identity in one part of a gravity analysis.

The declaration does not claim that the equality holds for all possible indices, only for the specific ones listed. It does not claim that m2Num or explicitZ have any physical meaning beyond their definitions in the library. It does not claim that the gravity analysis as a whole is correct, only that this particular numerical identity is true. The proof is computational, so it carries no insight about why the pattern holds, only that it does.

theorem e_223333 : m2Num 2 2 3 3 3 3 = 8 * explicitZ 2 2 3 3 3 3 := by decide

What this page does not claim

The declaration does not prove the equality for all possible index combinations. The declaration does not assign physical meaning to m2Num or explicitZ. The declaration does not establish the correctness of the broader gravity analysis.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk10.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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