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ZENODO
Other literature type . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
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Torsion as Filtration Operator: Rewriting Bohm in Possest–PQF Topology

Authors: Schimmelpfennig, Yochanan;

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

Abstract

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: An algebraic identity: Q_{\text{PQF}} = Q_{\text{Bohm}} at the level of the energy functional, but not at the level of ontology. The definition of a novelty operator \text{Novelty}{\text{PQF}} = (\delta^*)^k \circ \Delta{\mathcal{F}}[D] as a detector of genuine reorganization. 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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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