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Unitary Evolution Across Regime Transitions: Structural Non-Derivability Under Admissibility Constraints (IM-D005, v0.3)

Anders Nils Gunnar Widgren

Published Feb 14, 2026• 0 citations
Publisher

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 analyzes the status of unitary evolution when physical description crosses regime boundaries. While unitary time evolution is well-defined within admissible geometric regimes, its extension across inadmissible regime transitions is shown to lack structural derivability unless operator-defined state continuity can be physically implemented. Building on the regime-limited validity arguments of IM-C003 and the operator criteria formalized in IM-E001, the paper demonstrates that global unitarity cannot be presumed as an ontological default. Instead, unitary evolution must be treated as a regime-bound statement whose validity depends on the continued implementability of the operators required to define and compare physical states. The analysis introduces no new axioms, dynamical models, or empirical fits. Its contribution is structural: to clarify the admissibility conditions under which claims of global state continuity remain scientifically meaningful and to show why cross-regime extrapolations of unitarity constitute a category error when operator-access fails. Downstream empirical and simulation-based evaluation of regime transitions is addressed in the IM-G series.

DOI
10.5281/zenodo.18643357

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