Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk03 E 030012

A verified arithmetic pattern

The declaration e_030012 is a single verified statement inside a large, machine-checked library of formal theorems. It establishes that for a particular set of six numeric inputs, the value of a function called m2Num (a numerical quantity in a gravity analysis) equals eight times the value of another function called explicitZ (a separately defined reference value) for the same inputs. The inputs are the six-digit sequence 0, 3, 0, 0, 1, 2, and the proof is a direct computation, marked by the keyword decide, meaning the computer checked the arithmetic itself.

This statement is part of a larger project that aims to derive physical laws from a single principle of recognition cost. The specific file it lives in, ReggeExactMidpointM2TTIdentity4D, suggests it is checking a relationship at the midpoint of a grid, possibly related to a four-dimensional identity. The declaration itself does not prove any physical law, nor does it establish the meaning of m2Num or explicitZ. It only confirms that for this one point, the relationship m2Num = 8 * explicitZ holds exactly.

In plain terms, this is like checking that a single row in a large accounting spreadsheet balances. The row is one of many in a chunk of 256 such rows, and the verification is a necessary but small part of a much larger proof. The declaration does not claim that the relationship holds for all points, nor does it explain why the relationship exists. It simply certifies that for the specific point labeled 0, 3, 0, 0, 1, 2, the arithmetic is correct.

Within the framework of Recognition Science, this kind of granular verification is how the framework builds trust. Each small theorem is checked by the machine, and together they form a chain of reasoning that the framework uses to support its larger claims. This particular declaration is a building block, not a conclusion. It shows the method of verification in action, not a statement about the physical world.

theorem e_033333 : m2Num 0 3 3 3 3 3 = 8 * explicitZ 0 3 3 3 3 3 := by decide

What this page does not claim

This declaration does not prove any physical law or theory. This declaration does not establish the meaning or origin of the functions m2Num or explicitZ. This declaration does not claim the relationship holds for any other set of inputs.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk03.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: