Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk15 E 330001

A numerical identity in the gravity analysis

The declaration e_330001 is one entry in a large table of machine-checked arithmetic facts. It states that a quantity called m2Num, evaluated at the six arguments 3,3,0,0,0,1, equals 8 times another quantity called explicitZ evaluated at the same arguments. The proof is a direct computation: the kernel decides the equality by evaluating both sides, with no axioms beyond the standard three.

This is a numerical identity within a specific Regge calculus setup, a discrete approximation to general relativity. The surrounding file builds a table of such identities for all combinations of arguments 0,1,2,3. The theorem e_330001 is one cell in that table, confirming that the relation holds for this particular input tuple.

What the theorem does not do is state a physical principle. It does not assert that gravity behaves this way, nor that the m2Num quantity represents a measurable physical observable. It is a formal check that two defined expressions agree at a point. The meaning of m2Num and explicitZ in physical terms is not established by this declaration alone.

In Recognition Science, the library of formal theorems is a machine-checked collection of statements derived from the framework's axioms. This particular declaration is a low-level computational lemma, far from the forcing chain that derives constants or dimensions. Its role is to verify arithmetic consistency in a larger analysis, not to carry a conceptual claim.

theorem e_333330 : m2Num 3 3 3 3 3 0 = 8 * explicitZ 3 3 3 3 3 0 := by decide

What this page does not claim

The declaration does not assert any physical law about gravity. The declaration does not establish the physical meaning of m2Num or explicitZ. The declaration is not part of the forcing chain that derives constants or dimensions.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk15.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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