Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk12 E 300001

A numerical identity

The declaration e_300001 is one entry in a long list of machine-checked theorems. Each one states that a particular number, written as m2Num with six indices, equals eight times another number, written as explicitZ with the same six indices. For example, the theorem e_303333 states that m2Num 3 0 3 3 3 3 = 8 * explicitZ 3 0 3 3 3 3. The proof is by decide, meaning the computer simply calculates both sides and confirms they are equal.

This is a computational bookkeeping step. The numbers are part of a larger calculation in the framework's gravity analysis, and the identity is a check that the arithmetic holds for this specific case. It is a theorem in the sense that it is formally verified, but it is a theorem about arithmetic, not about physics. The declaration does not say what the numbers mean, why this identity matters, or what physical law it represents.

The declaration also does not claim that the identity holds for all possible indices. It is one instance, for the specific indices 3, 0, 3, 3, 3, 3. Many neighboring theorems in the same file cover other index combinations, each verified separately. The file as a whole is a collection of such individual checks, not a general proof.

In the Recognition Science framework, this kind of step is part of a larger effort to derive physical constants and laws from a single cost function. But this particular declaration is far downstream. It does not establish any of the framework's central claims, such as the uniqueness of the cost function or the derivation of the golden ratio. It is a small, concrete, verified calculation.

theorem e_303333 : m2Num 3 0 3 3 3 3 = 8 * explicitZ 3 0 3 3 3 3 := by decide

What this page does not claim

The declaration does not prove any physical law or property of gravity. The declaration does not establish the identity for indices other than the specific ones listed. The declaration does not derive the framework's central results, such as the cost function or the golden ratio.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk12.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

This page is generated by a question-recursion engine: the questions its answers raise become the next pages. The current agenda, with open targets marked red: