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v2.14.0 - Wormhole size winding diagnostic (Experiment 12, honest negative result)

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@tatopenn-cell tatopenn-cell released this 07 Aug 14:55
· 9 commits to main since this release
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Directly computes arXiv:2604.10090's own 'size winding' diagnostic (Sec. S6, Eqs. S18-S22): expands a Heisenberg-evolved single-sided Majorana operator in the Majorana-string basis and checks the phase coherence R(l)=|q(l)|/P(l) and phase arg(q(l)) of the winding size distribution, across the same 6 SYK instances used in Experiments 8/10, at 4 post-quench times each.

Verified first on 3 individual seeds (spanning correctly- and wrong-signed instances) before running the full sweep. The basis normalization Tr(Gamma_P Gamma_Q^dagger) = 2^|P| * dim * delta_PQ was verified directly via numerical Hermiticity/orthogonality checks, since the PDF-extracted paper formula did not reproduce as literally written (likely a lost exponent).

Result: R(l)=1.0000 and arg(q(l))=0.0000 exactly (to floating-point precision) for every instance and every time tested -- a third theory-motivated diagnostic, after mode-usage-imbalance and the level-spacing r-statistic in Experiment 11, that fails to explain the sign-dependent instance variance from Experiments 10/11. Mean operator size (t) does show genuine chaos-consistent growth followed by finite-size recurrence, confirming real operator-growth dynamics distinct from this null phase-coherence result.

Full write-up: docs/wormhole_syk_teleportation.md#experiment-12-size-winding-run-2026-08-07