Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk06 E 120011

A numerical identity in the gravity analysis

The declaration e_120011 is one entry in a large machine-checked numerical table. The table compares two functions, m2Num and explicitZ, across many combinations of six indices. The theorem states that for the specific index combination (1, 2, 0, 0, 1, 1), the value of m2Num equals 8 times the value of explicitZ. The proof is by decide, meaning the Lean kernel computes both sides and checks they are equal.

This is not a physical law or a derivation of gravity. It is a computational consistency check within a formal library. The identity confirms that, for this particular point in the table, the two definitions agree up to the constant factor 8. The factor 8 appears throughout the chunk, as all entries in this section of the table share the same structure: m2Num equals 8 times explicitZ for every index combination in the chunk.

The declaration does not claim that this identity holds for all possible indices, nor does it explain why the factor 8 appears. It does not establish any physical meaning for the functions m2Num or explicitZ. It is a single verified arithmetic fact, part of a larger audit trail showing that the framework's internal calculations are correct.

theorem e_123333 : m2Num 1 2 3 3 3 3 = 8 * explicitZ 1 2 3 3 3 3 := by decide

What this page does not claim

This declaration does not prove the identity holds for all index combinations. This declaration does not assign physical meaning to m2Num or explicitZ. This declaration does not derive the factor 8 from first principles.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk06.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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