Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk02 E 020012

The identity check

Recognition Science (a framework where reality keeps a discrete record of events) uses a machine-checked library of formal theorems to verify its calculations. The declaration e_020012 is one small piece of that verification: it proves that a quantity called m2Num, computed at a particular set of six indices, equals 8 times a reference quantity explicitZ at the same indices. The proof is a direct computation, checked by the kernel, with no gaps.

The indices, such as 0 2 3 3 3 2, label a specific point in a six-dimensional grid. The declaration is one of many similar statements in the file; each one verifies the same equality at a different point. The docstring says this is chunk 2 of a larger calculation, and the equality holds at every point in this chunk. The statement is a theorem, meaning it is proved in the framework's library, and it is axiom-clean: it relies only on the standard axioms of the underlying logic.

What the declaration does not claim is broader. It does not say that the equality holds for all possible indices, only for the specific ones listed. It does not interpret what m2Num or explicitZ physically mean, or connect them to any measured quantity. It does not establish any property of gravity, space, or time. It is a computational identity check, not a physical law. The framework's larger claims about gravity rest on many such checks, but this single declaration is only one tile in that mosaic.

theorem e_023332 : m2Num 0 2 3 3 3 2 = 8 * explicitZ 0 2 3 3 3 2 := by decide

What this page does not claim

The declaration does not establish the identity for all indices, only for the specific points listed in the chunk. The declaration does not interpret the physical meaning of m2Num or explicitZ. The declaration does not by itself prove any claim about gravity, space, or time.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk02.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: