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| Médium: | Recurso digital |
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Zenodo
2026
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| On-line přístup: | https://doi.org/10.5281/zenodo.20065054 |
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- <p><strong>This paper develops a reconstruction-theoretic account of neutrino oscillation as a structural consequence of admissible boundary-to-boundary witness preservation under coherent PMNS propagation.</strong></p> <p>Rather than proposing new neutrino dynamics or modifying the Standard Model, the paper analyzes the status of weak-flavor identity within a constrained reconstruction framework. Weak flavor is treated as a <strong>boundary-defined witness</strong> fixed by charged-current interaction events, not as a globally transported propagation-invariant label.</p> <h3>Core contribution</h3> <p>The central result is that globally transported weak-flavor identity cannot be admissibly totalized over the propagation interior.</p> <p>Formally, weak-flavor transport is represented as a <strong>partial boundary operator</strong> whose domain is fixed by admissible detector-accessible witness structure. Any attempt to extend that operator across the propagation carrier either:</p> <ul> <li>changes the physical witness algebra,</li> <li>collapses to bookkeeping equivalence, or</li> <li>instantiates an inadmissible reconstruction obstruction.</li> </ul> <h3>Formal framework</h3> <p>The manuscript introduces:</p> <ul> <li>a partial PMNS reconstruction category,</li> <li>a universal reconstruction quotient,</li> <li>an internal admissible-totalization obstruction,</li> <li>and a boundary-functional AQFT-compatible embedding.</li> </ul> <p>Within this framework, standard oscillatory boundary-to-boundary reconstruction is shown to be the unique admissible reconstruction class up to witness-preserving bookkeeping equivalence.</p> <h3>Broader significance</h3> <p>The broader implication is methodological. Beyond-Standard-Model neutrino proposals should be assessed by whether they introduce <strong>new admissible witnesses</strong>, such as:</p> <ul> <li>altered transition functionals,</li> <li>new detector couplings,</li> <li>matter-effect deviations,</li> <li>non-unitarity signatures,</li> <li>sterile-sector leakage,</li> <li>decoherence patterns,</li> <li>or other boundary-accessible reconstruction changes.</li> </ul> <p>They should not receive structural standing merely by adding hidden interior ontology while preserving all PMNS observables.</p> <h3>Scope</h3> <p>No new oscillation parameters, phenomenological fits, or empirical deviations are proposed.</p> <p>The contribution is classificatory and structural: it supplies an operator-domain obstruction and reconstruction criterion for distinguishing admissible BSM extensions from hidden flavor-transport bookkeeping.</p> <h3><strong>This paper is downstream of:</strong></h3> <ol> <li> <p class="wrap-overflowing-text"><strong><a href="https://doi.org/10.5281/zenodo.19324199">Minimal Conditions for Admissible Construction</a></strong></p> </li> <li> <p class="wrap-overflowing-text"><strong> <a href="https://doi.org/10.5281/zenodo.19198249">The Structure of Admissibility</a></strong></p> </li> </ol>