Active Alignment Dominance in Three-Fibre Coherence Recovery

Within a three-fibre toy architecture modelling the leakage-alignment structure of the Q5 transport framework, active re-alignment after phase disturbance produces substantially higher coherence recovery than passive evolution under the unmodified generator. The toy-model program is introduced as a structural stress test of the leakage-alignment architecture, not as a claim of physical realization. The three-fibre space \( span{u_2, u_3, u_4} \) implements the Q5 leakage sector structure (T124, T127): outer fibres u_2 and u_4 carry coherent transport and are coupled only through the middle fibre u_3, which acts as a mandatory balancing channel. Phase disturbances are applied to the first outer fibre via \( ψ_φ = (1/√3)(e^{iφ}, 1, 1) \) , with recovery quality measured by fidelity \( F(t) = |⟨ψ_align, ψ(t)⟩|² \). Key numerical results (tested sweep): Moderate disturbance (φ = π/2): passive recovery F_max ≈ 0.623; active re-alignment F_max ≈ 0.916. Middle fibre strongly recruited. Hard inversion (φ = π): passive recovery F_max ≈ 0.180; active re-alignment F_max ≈ 0.731. Passive reconstruction strongly suppressed. Broad state family (60 asymmetric initial states): re-alignment outperformed passive recovery on maximum fidelity in 98.33% of cases at φ = π/2 and 96.67% at φ = π; on mean fidelity in 100% of cases in both regimes. Three corollaries are established: effective irreversibility under restricted return (recovery requires information, not time); information- demanding reversibility (recovery quality scales with protocol information content); and a balancing-to-rupture regime split with crossover near φ_c ~ 0.7π–0.8π, not yet proven universal. The theorem proves that within the tested architecture, coherence behaves as an actively maintained alignment condition rather than a passively self-restoring property. No claim is made about physical laboratory decoherence, quantum error correction, or gravitational stabilization.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-21
DOI
https://doi.org/10.5281/zenodo.20332557
Primary Topic
Photonic Crystal and Fiber Optics
Type
preprint
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Active Alignment Dominance in Three-Fibre Coherence Recovery

Craig Edwin Holdway
Zenodo (CERN European Organization for Nuclear Research)
Photonic Crystal and Fiber Optics
preprint

Active Alignment Dominance in Three-Fibre Coherence Recovery

Craig Edwin Holdway
preprint en

Abstract

Within a three-fibre toy architecture modelling the leakage-alignment structure of the Q5 transport framework, active re-alignment after phase disturbance produces substantially higher coherence recovery than passive evolution under the unmodified generator. The toy-model program is introduced as a structural stress test of the leakage-alignment architecture, not as a claim of physical realization. The three-fibre space \( span{u_2, u_3, u_4} \) implements the Q5 leakage sector structure (T124, T127): outer fibres u_2 and u_4 carry coherent transport and are coupled only through the middle fibre u_3, which acts as a mandatory balancing channel. Phase disturbances are applied to the first outer fibre via \( ψ_φ = (1/√3)(e^{iφ}, 1, 1) \) , with recovery quality measured by fidelity \( F(t) = |⟨ψ_align, ψ(t)⟩|² \). Key numerical results (tested sweep): Moderate disturbance (φ = π/2): passive recovery F_max ≈ 0.623; active re-alignment F_max ≈ 0.916. Middle fibre strongly recruited. Hard inversion (φ = π): passive recovery F_max ≈ 0.180; active re-alignment F_max ≈ 0.731. Passive reconstruction strongly suppressed. Broad state family (60 asymmetric initial states): re-alignment outperformed passive recovery on maximum fidelity in 98.33% of cases at φ = π/2 and 96.67% at φ = π; on mean fidelity in 100% of cases in both regimes. Three corollaries are established: effective irreversibility under restricted return (recovery requires information, not time); information- demanding reversibility (recovery quality scales with protocol information content); and a balancing-to-rupture regime split with crossover near φ_c ~ 0.7π–0.8π, not yet proven universal. The theorem proves that within the tested architecture, coherence behaves as an actively maintained alignment condition rather than a passively self-restoring property. No claim is made about physical laboratory decoherence, quantum error correction, or gravitational stabilization.

Zenodo (CERN European Organization for Nuclear Research)
Research Manitoba (CA)
Photonic Crystal and Fiber Optics
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