Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk12 E 300000

A single verified arithmetic identity

The declaration e_300000 is a single theorem in a machine-checked library of formal theorems. It states that for a specific set of six indices, the value of a function called m2Num equals eight times the value of another function called explicitZ. The proof is by decide, meaning the computer evaluates both sides and confirms they are equal. The specific indices are 3, 0, 3, 3, 0, 0, so the theorem reads: m2Num 3 0 3 3 0 0 = 8 * explicitZ 3 0 3 3 0 0.

This identity is part of a larger collection, chunk 12, which contains hundreds of similar statements. Each one checks a different combination of six indices. The collection supports a broader framework that models gravity using discrete geometry, where spacetime is built from flat blocks and curvature is concentrated along their edges. In this approach, the function m2Num represents a numerical quantity derived from that discrete geometry, and explicitZ is a reference value. The factor of eight appears consistently across all the identities in this chunk.

The declaration does not claim that the broader gravity model is physically correct. It does not claim that the discrete geometry matches any experimental observation. It only claims that this one arithmetic equation holds, and that the machine checked it. The theorem is a small, verified step in a much larger calculation. Its value is in the certainty it provides: for this one combination of indices, the arithmetic is exact, not approximate.

In Recognition Science, this kind of verification is part of building a foundation from forced, not chosen, structure. The framework's library proves results with no unverified assumptions. This particular theorem is one of many such checks. It does not, by itself, establish any physical law. It is a brick in a wall, not the wall.

What a reader can take from this declaration is a concrete example of how the framework works. It shows a machine verifying a specific numerical relationship. It demonstrates the level of detail and rigor involved. It does not show why the relationship matters or what it means for gravity. Those questions belong to other parts of the framework, and they are not answered by this single theorem.

theorem e_303300 : m2Num 3 0 3 3 0 0 = 8 * explicitZ 3 0 3 3 0 0 := by decide

theorem e_303300 : m2Num 3 0 3 3 0 0 = 8 * explicitZ 3 0 3 3 0 0 := by decide

What this page does not claim

This declaration does not claim that the discrete gravity model is physically correct. This declaration does not claim that the arithmetic identity has any experimental consequence. This declaration does not claim to establish any physical law 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/ReggeExactMidpointM2TTIdentity4DM2NumChunk12.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: