Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk15 E 330003

A verified arithmetic identity

The declaration e_330003 is a machine-checked theorem in the Recognition Science framework's library of formal theorems. It states that for a particular six-component input, the value of a function called m2Num equals eight times the value of another function called explicitZ. The theorem is written as m2Num 3 3 3 3 3 0 = 8 * explicitZ 3 3 3 3 3 0, and it is proved by the kernel's decision procedure, meaning the computer checks the equality directly without relying on additional axioms.

This identity is one of 256 similar checks in a file called chunk 15, which is part of a larger effort to verify a gravity-related calculation. The calculation concerns the Regge exact midpoint and a four-dimensional identity involving the m2Num function. Each theorem in the chunk confirms that for a specific set of six arguments, the m2Num value is exactly eight times the explicitZ value. The number 8 appears consistently across all the checks in this chunk, suggesting a structural relationship between the two functions.

In Recognition Science, the framework models physical structure as a discrete record of events, and this kind of arithmetic verification supports the framework's larger proofs. The theorem does not by itself establish any physical law or derive a constant. It is a computational building block, a checked arithmetic fact that the framework's library uses as part of a longer chain of reasoning. The proof is complete for this specific case, but it says nothing about other inputs or about the physical interpretation of the functions involved.

What the declaration does not claim is broader significance on its own. It does not prove that the m2Num function is always eight times explicitZ for all inputs; it verifies only the six-component case shown. It does not connect this identity to any measured physical quantity or to the framework's derived constants. The theorem is a local, exact arithmetic check, and its role is to give the larger gravity calculation a verified foundation one piece at a time.

theorem e_333300 : m2Num 3 3 3 3 0 0 = 8 * explicitZ 3 3 3 3 0 0 := by decide

What this page does not claim

This theorem does not prove that m2Num always equals eight times explicitZ for all inputs. This identity does not by itself establish any physical law or derive a constant. The declaration does not connect this arithmetic check to any measured physical quantity.

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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