| _version_ | 1866901161154445312 |
|---|---|
| author | Widgren, Anders Nils Gunnar |
| author_facet | Widgren, Anders Nils Gunnar |
| contents | <p><span>This document is part of the Informational Mechanics (IM) framework and is published in the IM-D (Core Physics) series within the IM v0.3 corpus.</span></p> <p><span>The paper provides a constructive existence result for an effective geometric phase of description within a tensorial entanglement regime. Building on the structural criteria developed in IM-D007 and the tensor minimality results of IM-B004, the analysis demonstrates that a tree tensor network (TTN) regime satisfying admissibility constraints admits a well-defined path-length metric derived from entanglement invariants.</span></p> <p><span>The result is regime-conditional and existence-based: it establishes that geometric description can emerge under specific structural conditions without asserting universality, gravitational dynamics, holographic duality, or spacetime ontology.</span></p> <p><span>No new axioms, dynamical models, or empirical fits are introduced. The contribution is structural and classificatory, clarifying when entanglement organization supports effective geometric language while preserving locality, operator-defined observability, and regime-bounded validity.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18723148 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Geometric Phase Existence in Tensorial Regimes: A Constructive Structural Result (IM-D008, v0.3) Widgren, Anders Nils Gunnar Informational Mechanics entanglement structure tensor networks tree tensor networks geometric phase admissibility regime-limited validity entanglement invariants path-length metric effective geometry Theoretical physics Quantum physics Gravitational waves <p><span>This document is part of the Informational Mechanics (IM) framework and is published in the IM-D (Core Physics) series within the IM v0.3 corpus.</span></p> <p><span>The paper provides a constructive existence result for an effective geometric phase of description within a tensorial entanglement regime. Building on the structural criteria developed in IM-D007 and the tensor minimality results of IM-B004, the analysis demonstrates that a tree tensor network (TTN) regime satisfying admissibility constraints admits a well-defined path-length metric derived from entanglement invariants.</span></p> <p><span>The result is regime-conditional and existence-based: it establishes that geometric description can emerge under specific structural conditions without asserting universality, gravitational dynamics, holographic duality, or spacetime ontology.</span></p> <p><span>No new axioms, dynamical models, or empirical fits are introduced. The contribution is structural and classificatory, clarifying when entanglement organization supports effective geometric language while preserving locality, operator-defined observability, and regime-bounded validity.</span></p> |
| title | Geometric Phase Existence in Tensorial Regimes: A Constructive Structural Result (IM-D008, v0.3) |
| topic | Informational Mechanics entanglement structure tensor networks tree tensor networks geometric phase admissibility regime-limited validity entanglement invariants path-length metric effective geometry Theoretical physics Quantum physics Gravitational waves |
| url | https://doi.org/10.5281/zenodo.18723148 |