Mediated Asymmetry and Forward Dominance in Three-Sector Quantum Systems
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866901199122333696 |
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| author | Holdway, Craig Edwin |
| author_facet | Holdway, Craig Edwin |
| contents | <p>This paper establishes a structural and exact result for mediated three-sector systems, demonstrating asymmetry between transport and reconstruction channels in a closed finite-dimensional setting.</p> <p>A minimal three-sector model is introduced in which outer states are coupled only through a mediated intermediate state. Using second-order reduction, it is shown that outer-sector transport is governed by inverse detuning structure, while asymmetry between channel-resolved amplitudes is controlled by detuning imbalance. This produces suppression of reconstruction under restricted return operations, while exact reversibility remains preserved under full unitary evolution.</p> <p>An exact realization of this mechanism is then provided through a three-mode packet model derived from the Q₅ framework. In this setting, forward and return amplitudes are computed explicitly, yielding a coefficient hierarchy in which forward contributions are order-one while return contributions are suppressed by approximately three orders of magnitude. This leads to a rigorously defined coherence window in which forward amplitude strictly dominates return amplitude.</p> <p>The results establish that forward dominance is not an isolated numerical artifact, but arises from a structural asymmetry inherent in mediated multi-channel systems. Together, the structural theorem and exact realization provide a unified account of reconstruction suppression and transport dominance in a closed-system setting.</p> <p>This work forms part of a broader program investigating operator structure, grading behavior, and sector-resolved dynamics on the five-dimensional hypercube (Q₅), with related results available in accompanying white papers and operator decomposition studies.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19380324 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Mediated Asymmetry and Forward Dominance in Three-Sector Quantum Systems Holdway, Craig Edwin quantum systems perturbation theory effective Hamiltonians mediated coupling quantum coherence asymmetry multi-channel systems Q5 hypercube quantum decoherence coherence dynamics decoherence mechanisms oss of coherence phase coherence coherence preservation coherence suppression coherence decay quantum interference phase alignment coherence window channel asymmetry mediated coupling multi-channel interference reversibility in quantum systems reconstruction dynamics information recovery <p>This paper establishes a structural and exact result for mediated three-sector systems, demonstrating asymmetry between transport and reconstruction channels in a closed finite-dimensional setting.</p> <p>A minimal three-sector model is introduced in which outer states are coupled only through a mediated intermediate state. Using second-order reduction, it is shown that outer-sector transport is governed by inverse detuning structure, while asymmetry between channel-resolved amplitudes is controlled by detuning imbalance. This produces suppression of reconstruction under restricted return operations, while exact reversibility remains preserved under full unitary evolution.</p> <p>An exact realization of this mechanism is then provided through a three-mode packet model derived from the Q₅ framework. In this setting, forward and return amplitudes are computed explicitly, yielding a coefficient hierarchy in which forward contributions are order-one while return contributions are suppressed by approximately three orders of magnitude. This leads to a rigorously defined coherence window in which forward amplitude strictly dominates return amplitude.</p> <p>The results establish that forward dominance is not an isolated numerical artifact, but arises from a structural asymmetry inherent in mediated multi-channel systems. Together, the structural theorem and exact realization provide a unified account of reconstruction suppression and transport dominance in a closed-system setting.</p> <p>This work forms part of a broader program investigating operator structure, grading behavior, and sector-resolved dynamics on the five-dimensional hypercube (Q₅), with related results available in accompanying white papers and operator decomposition studies.</p> |
| title | Mediated Asymmetry and Forward Dominance in Three-Sector Quantum Systems |
| topic | quantum systems perturbation theory effective Hamiltonians mediated coupling quantum coherence asymmetry multi-channel systems Q5 hypercube quantum decoherence coherence dynamics decoherence mechanisms oss of coherence phase coherence coherence preservation coherence suppression coherence decay quantum interference phase alignment coherence window channel asymmetry mediated coupling multi-channel interference reversibility in quantum systems reconstruction dynamics information recovery |
| url | https://doi.org/10.5281/zenodo.19380324 |