L1 Paper 8 Unitary Mixing Saturation
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2026
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| _version_ | 1866901101417070592 |
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| author | Maley, Amos |
| author_facet | Maley, Amos |
| contents | <div> <div> <div> <div> <div dir="auto"> <div> <div> <p>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.</p> <p>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.</p> <p>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.</p> </div> </div> </div> </div> <div> </div> <div> <div> </div> </div> </div> </div> </div> <div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18542702 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | L1 Paper 8 Unitary Mixing Saturation Maley, Amos <div> <div> <div> <div> <div dir="auto"> <div> <div> <p>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.</p> <p>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.</p> <p>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.</p> </div> </div> </div> </div> <div> </div> <div> <div> </div> </div> </div> </div> </div> <div> </div> |
| title | L1 Paper 8 Unitary Mixing Saturation |
| url | https://doi.org/10.5281/zenodo.18542702 |