Entanglement Structure and Effective Geometric Classification: A Regime-Conditional Analysis (IM-D007, v0.3)

Anders Nils Gunnar Widgren

Published Feb 18, 2026• 0 citations

Abstract

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. The paper develops a structural account of when entanglement admits effective geometric classification under regime-bounded admissibility constraints. Building on IM-B004 (tensor minimality), IM-D006 (structural non-factorizability), and IM-C004 (regime-conditional structural principles), the analysis identifies necessary invariance and stability conditions under which entanglement structure supports geometric descriptors. Geometry is treated as an effective, regime-dependent language rather than a primitive ontological layer. The work does not derive spacetime, gravitational dynamics, or holographic dualities; instead, it provides structural criteria for when geometric interpretation is admissible and when it breaks down. No new axioms, dynamical mechanisms, or empirical fits are introduced. The contribution is classificatory and structural, clarifying how geometric description may emerge as an admissible phase of entanglement organization while preserving locality, operator-defined observability, and no-signaling constraints.

DOI: 10.5281/zenodo.18685203

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