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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17621999 |
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Table of Contents:
- <p>This work quantifies how a local coherence cutoff (ε₍crit₎) emerges from multi-triad network structure and relates it to the global dropout fraction (θ₍break₎) on a face-centered-cubic (fcc) Holosphere lattice. Using a non-circular structural inversion, we build a monotone map ε ↦ θ₍break₎ via a k-core (k=3) mean-field fixed point (z=12) augmented with two mesoscopic knobs: triad redundancy (r, parallel rails per logical link) and intra-triad angular correlation (ρ). Inverting at the analytic anchor θ₍break₎ ≈ 0.21 (fcc percolation with triadic uplift) yields an operational ε₍crit₎ ≈ 0.055–0.075 rad—an empirically tight band that sits 3–5× above the microscopic floor 2α ≈ 0.0146 rad. The result resolves the micro–to–macro gap: 2α remains a universal SU(2) spinor floor, while the effective per-rail cutoff required for network-level failure is an emergent function of (r, ρ) and lattice geometry. A turnkey pipeline (profile, bisection inversion, finite-size scaling, and bootstrap) delivers Overleaf-ready profiles, ridge plots, and confidence intervals, and remains α-free at estimation time. The framework provides operational priors for Bob–Alice visibility fits and CMB ring-template masking (ℓ≈30), recommends replacing per-link 2α with ε ≈ 0.06–0.075 rad under r∈{2,3}, ρ≈0.2–0.4, and offers falsifiable predictions on how ε₍crit₎ shifts with redundancy, correlation, and degree/threshold (z,k).</p>