Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk06 E 120002

A numerical identity in the gravity analysis

The declaration e_120002 is one entry in a large collection of formal theorems that check arithmetic identities. Each theorem states that a certain function m2Num, evaluated at six specific indices, equals eight times another function explicitZ evaluated at the same six indices. The proof is the word "decide," which means the Lean kernel directly computes both sides and confirms they are equal. This is a computational fact, not a physical law.

In plain terms, the theorem verifies that for the index tuple 1 2 3 3 3 2, the value of m2Num is exactly eight times the value of explicitZ. The same pattern holds for dozens of neighboring index tuples in the same file, each with its own theorem. These identities are part of a larger framework where the framework models gravity through a discrete ledger of recognition events, and this chunk of theorems checks one specific numerical relationship in that model.

The declaration does not claim that gravity is discrete, that the ledger is physical, or that this identity has any experimental consequence. It only establishes a formal arithmetic equality between two defined functions. The physical interpretation of m2Num and explicitZ, and the question of whether the overall gravity analysis is correct, are separate matters that this single theorem does not address.

theorem e_123332 : m2Num 1 2 3 3 3 2 = 8 * explicitZ 1 2 3 3 3 2 := by decide

What this page does not claim

The declaration does not assert that gravity is fundamentally discrete. The declaration does not claim any experimental or observational consequence. The declaration does not establish the correctness of the entire gravity model.

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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