Composite Systems, Holonomy, and Decoherence

Fredrik Jensen

Published Feb 12, 2026• 0 citations

Abstract

This paper analyzes composite quantum systems from the perspective of bundle connections and holonomy. A geometric framework for composing subsystems is developed, and the behavior of phase information under restriction to subsystems is examined. It is shown that when access is limited to a subsystem, interference terms associated with relative phase can be suppressed in the reduced description, leading to additive weights for distinguishable components. This provides a geometric account of decoherence and the emergence of effectively classical behavior in composite systems. The analysis is formulated in terms of connection geometry and holonomy structure.

DOI: 10.5281/zenodo.18623492

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