incompossibility as obstruction

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Editorial synthesis · provisional

Definition

Incompossibility as obstruction models a failure of locally compatible viable configurations to assemble into a global world. The manuscript introduces a site, viability data and admissible adjustments; in its specified abelian torsor setting, a nonzero Čech obstruction class marks failure to glue. This is a chosen descent analogy with precise hypotheses, not a universal numerical measure of ethical conflict or proof that ethical reality literally forms a sheaf.

Explanation

The model assigns local viable becomings to contexts and restrictions to their overlaps. Agreement on the overlaps makes a local family eligible for a gluing question, but does not by itself produce a global section. This distinguishes compatible-looking local arrangements from a single world in which those arrangements can coexist as the model requires.

The cohomological claim is restricted to torsors under an abelian presheaf of admissible adjustments. Within that setup the obstruction vanishes exactly when the local data glue; a nonzero class expresses incompossibility in that model. The assessment preserves those restrictions rather than extending the claim to arbitrary ethical disagreements, arbitrary nonabelian settings or a scalar cost ranking.

The module explicitly presents the ethical correspondence as a modeling choice. It leaves open how strong local compossibilities compose and denies that the ethical world is literally a sheaf. RB3’s viability and non-foreclosure language motivates the analogy without proving that every conflict admits this representation or that the formal obstruction decides which ought to be chosen.

Scope and attribution

Retain the exact descent-model qualifications and the explicit analogy-versus-identity boundary.

PB — The Possible Book

The obstruction claim is conditional on the specified site, adjustment and abelian torsor model.

Occurrence locators: 175, 177, 179, 180, 181.

Background used in the editorial explanation

RB3 pp.229 and258 discuss ethical compossibility, not the descent/obstruction model. PB p.177 distinguishes collapse by quotient; its separate cycles passage explicitly introduces the obstruction question.