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Information Geometry and Regime Coherence: A Conceptual Positioning of the HLV Framework in Relation to Nonseparability and Entanglement

Marcel Krüger

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.11026.21445

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Information Geometry and Regime Coherence: A Conceptual Positioning of the HLV Framework in Relation to Nonseparability and Entanglement

Marcel Krüger

This concept note outlines a conservative way to discuss conceptual parallels between the Helix–Light–Vortex (HLV) framework and the philosophical implications of quantum entanglement. The central aim is not to propose HLV as a replacementforquantummechanics,nortoderiveBell-typecorrelations, Hilbertspace tensor structure, or experimentally verified quantum nonlocality. Instead, the note identifies a limited structural overlap: both quantum entanglement and HLV-style operator descriptions question naive classical assumptions about separability, locality, coherence, and the geometry of information. Entanglement remains a strictly quantum-mechanical phenomenon with precise mathematical and experimental content. HLV is positioned here as an information-geometric and regime-dynamical framework concerned with stability, memory, coherence, boundary conditions, and effective organization across complex systems. The scientific value of such a comparison lies in clarifying what HLV is and what it is not.

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Recent work has demonstrated that identical particles in one spatial dimension can exhibit continuously tunable exchange statistics, extending the conventional boson–fermion dichotomy. These one–dimensional (1D) anyons are described within rigorously defined many–body models and display universal high–momentum tails whose leading coefficients depend on the statistical parameter. In this article, we present a conceptual and geometric interpretation of these results within the Helix–Light–Vortex (HLV) framework. We do not propose a competing microscopic theory and we do not modify established Hamiltonians. Instead, we provide a mapping in which the tunable exchange phase can be interpreted as a memory–modulated effective statistics parameter inspired by the triadic spiral–time structure of HLV. The manuscript is intentionally positioned as an interpretive bridge between established 1D anyon theory and a geometric spacetime language. All HLV–related elements are explicitly marked as hypotheses. No experimental validation, benchmarking, or performance claims are made.

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Dynamical Information Geometry, Part II: Positive Information Curvature and Acceleration of Operator Fronts

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Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work builds on: C. Kaya and D. Buck,"Dynamical Information Geometry: Microscopic Foundations of Operator Refraction",Zenodo (2025), DOI: https://doi.org/10.5281/zenodo.17966909 This manuscript analyzes the positive information-curvature branch of the Dynamical Information Geometry framework and demonstrates controlled acceleration (advance) of operator fronts within Lieb–Robinson bounds. For reference and context, related DIG manuscripts include: DIG Part III (hardware validation of an operational consequence):https://doi.org/10.5281/zenodo.18100057 DIG Part IV (finite regime structure and operational invariance):https://doi.org/10.5281/zenodo.18202656 DIG Part V (multidimensional formulation of the framework):https://doi.org/10.5281/zenodo.18210315 DIG Part VI (scaling 1D hardware validation): https://doi.org/10.5281/zenodo.18226369 DIG Part VII Dynamical Information Geometry:Two-Dimensional Twin-Sign Validation under Fixed Audit and Regime Constraintshttps://doi.org/10.5281/zenodo.18313460 Note:A companion definitions and scope document (DIG — N1) is available at:https://doi.org/10.5281/zenodo.18001179 This document clarifies definitions, scope, and conceptual boundaries of the DIG framework. DIG — N2 (definitions/interpretation/non-equivalences) https://doi.org/10.5281/zenodo.18380514 Correspondence regarding this work may be directed to:kaya@cab-film.com

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Entanglement, Coherence and Decoherence

José Antonio Fornés

Springer series in biophysics•Jan 1, 2024•0 citations
This concept note outlines a conservative way to discuss conceptual parallels between the Helix–Light–Vortex (HLV) framework and the philosophical implications of quantum entanglement. The central aim is not to propose HLV as a replacementforquantummechanics,nortoderiveBell-typecorrelations, Hilbertspace tensor structure, or experimentally verified quantum nonlocality. Instead, the note identifies a limited structural overlap: both quantum entanglement and HLV-style operator descriptions question naive classical assumptions about separability, locality, coherence, and the geometry of information. Entanglement remains a strictly quantum-mechanical phenomenon with precise mathematical and experimental content. HLV is positioned here as an information-geometric and regime-dynamical framework concerned with stability, memory, coherence, boundary conditions, and effective organization across complex systems. The scientific value of such a comparison lies in clarifying what HLV is and what it is not.
Recent work has demonstrated that identical particles in one spatial dimension can exhibit continuously tunable exchange statistics, extending the conventional boson–fermion dichotomy. These one–dimensional (1D) anyons are described within rigorously defined many–body models and display universal high–momentum tails whose leading coefficients depend on the statistical parameter. In this article, we present a conceptual and geometric interpretation of these results within the Helix–Light–Vortex (HLV) framework. We do not propose a competing microscopic theory and we do not modify established Hamiltonians. Instead, we provide a mapping in which the tunable exchange phase can be interpreted as a memory–modulated effective statistics parameter inspired by the triadic spiral–time structure of HLV. The manuscript is intentionally positioned as an interpretive bridge between established 1D anyon theory and a geometric spacetime language. All HLV–related elements are explicitly marked as hypotheses. No experimental validation, benchmarking, or performance claims are made.
Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work builds on: C. Kaya and D. Buck,"Dynamical Information Geometry: Microscopic Foundations of Operator Refraction",Zenodo (2025), DOI: https://doi.org/10.5281/zenodo.17966909 This manuscript analyzes the positive information-curvature branch of the Dynamical Information Geometry framework and demonstrates controlled acceleration (advance) of operator fronts within Lieb–Robinson bounds. For reference and context, related DIG manuscripts include: DIG Part III (hardware validation of an operational consequence):https://doi.org/10.5281/zenodo.18100057 DIG Part IV (finite regime structure and operational invariance):https://doi.org/10.5281/zenodo.18202656 DIG Part V (multidimensional formulation of the framework):https://doi.org/10.5281/zenodo.18210315 DIG Part VI (scaling 1D hardware validation): https://doi.org/10.5281/zenodo.18226369 DIG Part VII Dynamical Information Geometry:Two-Dimensional Twin-Sign Validation under Fixed Audit and Regime Constraintshttps://doi.org/10.5281/zenodo.18313460 Note:A companion definitions and scope document (DIG — N1) is available at:https://doi.org/10.5281/zenodo.18001179 This document clarifies definitions, scope, and conceptual boundaries of the DIG framework. DIG — N2 (definitions/interpretation/non-equivalences) https://doi.org/10.5281/zenodo.18380514 Correspondence regarding this work may be directed to:kaya@cab-film.com