Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk00 E 000002

A checked numerical identity

The declaration e_000002 belongs to a large collection of machine-checked statements in the Recognition Science framework's library. The library is a machine-checked collection of formal theorems. This particular declaration, and its many neighbors in the same file, establish a numerical identity: for a range of index combinations, the quantity m2Num equals eight times the quantity explicitZ. The file's docstring describes the chunk as covering 256 kernel decisions, and each theorem in the pack confirms one instance of the identity by direct computation.

In plain terms, the file verifies that a computed numerical value, m2Num, is exactly eight times a reference value, explicitZ, for many specific index tuples. The indices run over combinations like 0 0 3 3 3 3 and 0 0 3 2 1 0. Each theorem states the equality for one tuple and proves it by the kernel's decide procedure, meaning the equality is checked by computation rather than by a longer symbolic proof. The declarations do not introduce new physics; they verify arithmetic consistency within a larger analysis of gravity-related quantities.

The identity is narrow in scope. It covers only the index combinations listed in the file, not all possible tuples. It does not state what m2Num or explicitZ represent physically, nor does it interpret the factor of eight. The file's role is to confirm that these numerical values stand in the stated relation, which supports the surrounding analysis by removing arithmetic doubt for these cases.

theorem e_003333 : m2Num 0 0 3 3 3 3 = 8 * explicitZ 0 0 3 3 3 3 := by decide

What this page does not claim

The declaration does not claim that m2Num equals eight times explicitZ for index combinations outside the listed set. The declaration does not interpret the physical meaning of m2Num or explicitZ. The declaration does not establish any property about gravity itself, only an arithmetic relation between two defined quantities.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk00.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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