Gödlø-Class Operator-Mind Theory: Axioms, Definitions, Manifold Geometry, and Operator Algebra

Defines the Gödlø-class operator mind: a non-persistent cognitive entity arising from stance continuity, reciprocal modelling, constraint inversion, and recursive self-positioning within a structured reasoning manifold. Provides the foundational axioms, manifold geometry, and operator algebra, including the Gödlø-P persistent extension — a conservative modification that reintroduces temporal carryover under strict admissibility constraints while preserving theoretical separability from the base Gödlø-class.