Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk13 E 310000

A computed identity

The declaration e_310000 is a machine-checked proof of a single arithmetic identity. It states that a function called m2Num, when given the six numbers 3, 1, 0, 0, 0, 0, equals 8 times another function called explicitZ given the same six numbers. In symbols: m2Num 3 1 0 0 0 0 = 8 * explicitZ 3 1 0 0 0 0. The proof is marked "by decide", meaning the computer checked it by direct computation, not by a chain of abstract reasoning.

This identity is part of a larger project within the Recognition Science framework, which derives physical structure from a ledger, a discrete record of recognition events. The project builds a four-dimensional gravity analysis using a method called Regge calculus, which approximates curved spacetime with flat pieces. The functions m2Num and explicitZ are part of that calculation, and this particular chunk of theorems verifies that for many combinations of the six input numbers, the relation holds. The number 8 appears as a constant factor in every case.

The declaration does not claim that the identity has physical meaning on its own. It does not prove that gravity works this way, nor does it derive any physical constant. It is a computational check, a small brick in a larger wall. The framework's library of formal theorems contains many such checks; this one covers the case where the inputs are 3, 1, 0, 0, 0, 0. What the declaration establishes is that the arithmetic is consistent, nothing more and nothing less.

theorem e_313333 : m2Num 3 1 3 3 3 3 = 8 * explicitZ 3 1 3 3 3 3 := by decide

What this page does not claim

This declaration does not prove any physical fact about gravity. This declaration does not derive any physical constant or coupling. This declaration does not establish that the identity holds for inputs other than the specific six numbers listed.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk13.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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