The Generative Interlock Structure: A Model Class for Organization-Generated Possibility

The Generative Interlock Structure (GIS) is a mathematical model class in which present organization and declared boundary conditions generate a set of physically realizable processes, a realized process belongs to that set, and the realized process updates the organization from which subsequent realizability is generated. The universal mathematical form is separated from three distinct scientific questions: whether a domain supplies a legal filling of the GIS slots, whether that filling closes the immediate process law, and whether a chosen representation is sufficient for a named question. Legal filling, process closure, and question sufficiency are therefore treated as distinct levels. The note develops a coordinate-invariant interlock condition through a generator profile, defines path-sensitive interlock, specifies rules for legal fillings and organizational resolution, formulates process closure as a factorization condition, and gives a predeclared empirical protocol intended to prevent retrospective changes of occupant, resolution, coordinates, or boundary convention from rescuing a failed test. A strong scope hypothesis is stated separately from the model class itself: at every independently declared organizationally admissible resolution of a natural occupant, there exists at least one legal, process-closed GIS filling satisfying GIS membership. Occupants with no organizationally admissible resolution lie outside the scope of that hypothesis. Two controlled reaction-network models are used as worked instances to illustrate interlock, path sensitivity, process closure by specification, and question-relative representation sufficiency and failure.