Operators of Possibility: On Recursio Intensitatis and Recurvatio Topologica in the Possest–PQF Framework

This paper develops a rigorous algebraic-topological model of accessibility grounded in the operators Recursio Intensitatis (RI) and Recurvatio Topologica (RT). Rejecting emergence, ground, and representation, the Possest–PQF framework offers a dynamic filtration-based ontology. Through formal definitions, diagrammatic visualization, and computational simulation, we show how difference persists through recursive and local operator action. Accessibility is not discovered, but filtered. There is no world to represent—only operators to configure what becomes available. Possest, PQF, Recursio Intensitatis, Recurvatio Topologica, filtration, access topology, symbolic torsion, non-representational geometry, bifurcation, sheaf-space