Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk15 E 330002

The chunk's arithmetic

In numerical analysis, large calculations are often split into many small pieces so each can be checked independently. The declaration e_330002 is one such piece: it states that a function called m2Num, evaluated at a particular six-digit input, equals eight times another function called explicitZ at the same input. The proof is a direct computation, the kind a computer can verify by checking every case, so the statement is not an approximation or a guess.

The context is a gravity calculation in the Recognition Science framework, which models physical structure from a discrete record of events. Here the calculation concerns a four-dimensional midpoint identity, and the numbers 0, 1, 2, 3 in the input are indices, not values. The identity m2Num 3 3 0 0 0 2 = 8 * explicitZ 3 3 0 0 0 2 is one of many such facts that together support a larger result about how the framework's gravity terms combine.

What the declaration does not claim is broader. It does not assert that the gravity calculation as a whole is correct, nor that the framework's physical model is true. It only records that this one arithmetic equality holds. The larger theorem, if it exists, would be a separate declaration with its own proof. This chunk is a brick, not the building.

theorem e_333333 : m2Num 3 3 3 3 3 3 = 8 * explicitZ 3 3 3 3 3 3 := by decide

theorem e_333333 : m2Num 3 3 3 3 3 3 = 8 * explicitZ 3 3 3 3 3 3 := by decide

What this page does not claim

The declaration does not prove the overall gravity calculation correct. The declaration does not assert any physical law or framework model is true. The declaration does not say the identity holds for inputs other than the one stated.

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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