Quantum State Admissibility

A J Paton

Published Mar 9, 2026• 0 citations

Abstract

This paper interprets quantum mechanical state evolution through the admissibility framework of the Paton System. Rather than treating quantum states purely as mathematical vectors evolving under probabilistic measurement rules, the admissibility interpretation recognises that only states satisfying the governing constraints of the quantum system are structurally permitted. Quantum state space therefore represents a constrained admissible manifold in which physical evolution occurs. Measurement outcomes correspond to admissible state transitions within this constrained space. This perspective clarifies why quantum systems exhibit stable statistical behaviour while remaining fundamentally probabilistic: probability operates only within the geometry of states that are structurally permitted to exist.

DOI: 10.5281/zenodo.18917419

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