Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk01 E 010002

A numerical identity, checked case by case

The declaration e_010002 is one small entry in a much larger computational proof. The proof concerns a quantity called m2Num, which takes six numerical arguments. The theorem states that for the specific argument list 0 1 0 0 0 2, the value of m2Num equals eight times the value of another quantity, explicitZ, for the same arguments. In symbols, the theorem asserts m2Num 0 1 0 0 0 2 = 8 * explicitZ 0 1 0 0 0 2.

The proof method is decide, which means the computer checks the equality by direct calculation. It is a brute-force verification of a single numerical instance, not a general law. The declaration is part of a larger file that contains hundreds of similar theorems, each covering one combination of the six arguments. Together they build toward a broader identity about gravity, but this particular declaration only establishes the equality for its own specific set of inputs.

In Recognition Science, this theorem is tagged as a THEOREM because it is proved in the machine-checked library of formal theorems. The proof is axiom-clean, meaning it relies only on the kernel's standard postulates and no framework-specific assumptions. The declaration itself, however, makes no statement about physics. It does not say what m2Num or explicitZ represent, does not connect them to any measurement, and does not claim the factor of eight holds for any other arguments.

What the declaration does establish is a precise, checkable fact: for this one combination of inputs, the two quantities stand in an exact eightfold ratio. A reader can verify the arithmetic independently. The value of this fact lies in its role as a building block. A large collection of such verified instances can support a general theorem, but the general theorem is not contained in this single declaration.

theorem e_013333 : m2Num 0 1 3 3 3 3 = 8 * explicitZ 0 1 3 3 3 3 := by decide

What this page does not claim

The declaration does not claim the factor of eight holds for any argument list other than 0 1 0 0 0 2. The declaration does not state what m2Num or explicitZ represent physically. The declaration does not establish any general theorem about gravity by itself.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk01.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: