Torsion as Filtration Operator: Rewriting Bohm in Possest–PQF Topology

This paper presents a clean operational reinterpretation of the Bohm potential as a filtration curvature over an accessibility topology D. The soft operator \delta^* acts on the amplitude R = |\psi|, defining the axial torsion vector S_\mu := \nabla_\mu \ln R, which emerges not as a dynamical field but as a filtration effect.

Rather than treating torsion as an ontological entity (as in Einstein–Cartan) or a scale connection (as in Weyl–Santamato), the Possest–PQF model frames it as a consequence of the soft filtration operator \delta^* acting within the structure of accessibility. As a result, notions such as non-locality, spin, or curvature are no longer tied to motion or field content, but become signatures of operational reorganizations of accessibility.

Key results include:

1. An algebraic identity: Q_{\text{PQF}} = Q_{\text{Bohm}} at the level of the energy functional, but not at the level of ontology.

2. The definition of a novelty operator \text{Novelty}{\text{PQF}} = (\delta^*)^k \circ \Delta{\mathcal{F}}[D] as a detector of genuine reorganization.

3. Three discriminative experimental protocols: the torsional Sagnac loop, a helical accessibility channel, and a spin–echo sequence — each testing divergence from Bohmian and Weyl-based predictions.

Within Recursio Intensitatis, torsion becomes a local trace of accessibility reconfiguration, not an expression of hidden motion. The difference between Bohm and PQF lies not in the algebra, but in what is considered real.