Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk04 E 100010

A numerical identity in the gravity analysis

The declaration e_100010 is one entry in a large, machine-checked calculation that appears in the Recognition Science framework's gravity analysis. The calculation concerns a function called m2Num, which takes six numerical arguments and returns a number. The theorem states that for the specific input (1, 0, 0, 0, 1, 0), the value of m2Num equals 8 times the value of another function, explicitZ, at the same input. In symbols, the theorem is: m2Num 1 0 0 0 1 0 = 8 * explicitZ 1 0 0 0 1 0.

The proof of this theorem is by a method called decide, which means the computer evaluates both sides of the equation and confirms they are equal. This is not a proof that relies on a chain of abstract reasoning; it is a direct computation. The declaration is part of a chunk of 256 such theorems, each checking one specific input. The purpose of this chunk is to verify that the m2Num function, which appears in a ledger (a discrete record of events) of the framework's gravity theory, matches the expected value of the explicitZ function across a range of inputs.

What this declaration does not claim is any physical interpretation. It does not say what m2Num or explicitZ represent, what the number 8 signifies, or how this calculation connects to the broader theory of gravity. It merely establishes a numerical equality between two functions at one point. The declaration does not prove that the equality holds for all inputs, nor does it explain why the factor of 8 appears. It is a single, verified step in a much larger formal proof, and its significance is that it is correct, not that it is conceptually revealing on its own.

theorem e_103333 : m2Num 1 0 3 3 3 3 = 8 * explicitZ 1 0 3 3 3 3 := by decide

theorem e_103333 : m2Num 1 0 3 3 3 3 = 8 * explicitZ 1 0 3 3 3 3 := by decide

What this page does not claim

This declaration does not ascribe any physical meaning to the functions or the factor of 8. This declaration does not prove the equality holds for all inputs, only for the one specified. This declaration does not explain why the equality is true beyond the direct computation.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk04.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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