L1 Paper 8 Unitary Mixing Saturation

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Authors: Amos Maley
Cited by: 0

Abstract

This paper establishes that unitary mixing freedom within admissible local descriptions is finite and saturates once standing preservation, admissibility, and identity persistence are fixed. The analysis is eliminative: it shows that beyond a limited set of admissible mixing relations, further unitary freedom collapses distinguishability required for standing or reintroduces illicit scope transport under composition. Unitary mixing is treated as a representational redundancy rather than a primitive structural degree of freedom. The paper demonstrates that admissible mixing relations exhaust their capacity to encode differentiation without degenerating into equivalence collapse or deferred admissibility. As a result, mixing matrices are shown to be structurally bounded objects rather than continuously extensible modeling choices. The paper introduces no new primitives and provides no constructive procedures. Its contribution is boundary-setting: it clarifies why unitary mixing must saturate in any standing-preserving local skin, and why attempts to extend mixing freedom beyond this bound are structurally inadmissible rather than empirically disfavored.

Fields of Study & Subjects

Quantum Mechanics and Applications Philosophy and Theoretical Science Diverse Interdisciplinary Research Studies

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 February 2026