A Structural Theory of Process Evolution: Process rewrites the organization that generates later possibility

This record contains a manuscript that states a structural theory of process evolution and the mathematical class used to test its defining relation. The central claim is that later process possibility need not be a fixed background through which a system merely moves. Possibility can be generated by organization, while realized physical process can modify the organization from which subsequent process possibilities are generated. The generative interlock is the operational test of this relation. For a declared occupant, observational resolution, process identity, contextual domain, and populated process generator, a filling belongs to the Generative Interlock Structure (GIS) class when a process-mediated organizational update changes the subsequently generated process-generator profile. A legal generated-admissibility filling may fail that test. Failure is an admissible negative result rather than a reason to alter the definition. This is exactly the separation the manuscript now makes on page 1. The paper supplies the generated-admissibility objects needed to state the test without conflating State, process possibility, operational admissibility, continuation, and retained observation. It does not supply a domain constitutive law, a universal process-selection rule, or a universal objective. Legality of a filling, closure of a specified immediate law, sufficiency for a selected record, shared-history feasibility, and implementability under retained information are treated as separate questions. Two controlled reaction-network fillings provide mathematical instantiations. They exhibit GIS interlock, common-start path sensitivity of the later generator profile, and record-specific observation failure and repair. Empirical scope is stated separately as a predeclared hypothesis over specified families of systems and resolutions; the mathematical examples do not establish that hypothesis for natural systems.