IGNITIO DIFFERENS - The constitution of CUT from difference alone

A forge document, not a results paper. The initial material is Difference. The discipline is: add nothing. The only admitted operations are CITE and CUT. A citation does not pay for the CUT of the RUN that contains it; a name, a number, a formula, or a representation arrives only after what it records. CUT is not a second operator added to Difference: in the text, CUT divides along Difference, removes no material, and requires nothing to disappear. If the division left by CUT is reassimilated and that reassimilation loses an already certified Difference, the loss is not repaired: it remains on the bench. RUN 01–05 constitute the blade and leave three discriminated failures, together with what is later named Impossible and Border. RUN 06–07 obtain configurational Difference of the same closed minimum and the same minimum under different configuration, without reopening the minimum, introducing duplication, or admitting movement, rotation, space, or time. RUN 08 leaves Difference among non-assimilable discriminations of the same closed configuration; RUN 09 leaves morphological completeness of the current form; RUN 10 leaves the non-skippability of the discriminating Difference, a property strictly poorer than adjacency, which introduces no space, succession, unit step, or geometry. Numerical labels (7, 8, 9, and terminally 10, 11, 12 as NOVELTY, COMBINATION, RECURSION) are registered only after the findings they name and are never used to derive them. The terminal closure concerns the operational constitution of CUT and declares neither Difference exhausted nor the real complete. Wave, periodicity, phase, acceleration, curvature, fold, contact, multiborder, any Ω/Q reading, and any ontology of reality are stated as explicitly outside the debts of the forge. The document is published as the frozen forge record, with its own reviewer passes and freeze status included.