Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk06 E 120000

A numerical identity in the gravity analysis

The declaration e_120000 is one small theorem in a large machine-checked library of formal theorems. It states that a function called m2Num, evaluated at the six arguments 1, 2, 0, 0, 0, 0, equals 8 times another function called explicitZ evaluated at the same six arguments. The proof is a direct computation, marked by the keyword decide, meaning the computer checks the arithmetic by brute force. This is not a claim about physics; it is a verified numerical identity between two defined tables.

The identity is part of a chunk of 256 such identities, each covering a different set of six arguments. The docstring labels this chunk as "m2Num = 8·explicitZ, chunk 6 (256 kernel decides)". The purpose is to confirm that a certain numerical table, m2Num, is exactly 8 times another table, explicitZ, across a grid of inputs. This kind of exhaustive checking is common in formal verification, where a theorem is split into many small, mechanically checkable pieces.

In Recognition Science, this identity is a step in a larger analysis of gravitational structure, but the declaration itself does not establish any physical law. It does not claim that gravity works a certain way, nor does it derive a constant or predict an observation. It only verifies a numerical relationship between two functions as defined in the framework's library. The theorem is true by definition and computation, not by experiment or physical argument.

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

The declaration does not establish any physical law or observational prediction. It does not derive a physical constant or provide a numerical value for a measurement. It does not claim that m2Num and explicitZ are equal in general, only at the specific listed arguments.

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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