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Three-Plane Scaffold: Numerical Field Data — Borromean Junction and Dirac Zero Modes

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Zenodo2026-07-27 更新2026-08-01 收录
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This upload extends the zero-core exact-O Q=1 scaffold numerical evidence package with the N=144 co-registered Borromean/Brunnian wall-sector and Callias/JR spectral diagnostics. The package contains the frozen N=144 bulk-certified zero-core state, co-registered labelled wall fields, Brunnian wall-sector audits, Callias mass-map degree audits, Callias known-control validation, and the corrected finite-volume Callias spectrum sweep with one-wall deletion comparison. Main results included in this package: 1. The co-registered N=144 labelled wall fields preserve the scaffold Brunnian/Borromean wall-sector structure. The threshold sweep finds a stable pass band from p=1.5% to p=5.0%, with all eight sign sectors present, the twelve single-flip sector-cube adjacencies present, no multi-flip adjacencies, a connected non-boundary triple core, and successful Brunnian deletion tests. 2. The labelled wall Callias mass map Phi=(W1,W2,W3) has stable signed shell degree +1 around the Brunnian triple core. The degree audit returns +1.000000000 on all tested shells rho=0.08 through rho=0.80, with nonzero |Phi| on the shells. 3. The Callias spectral backend is validated on known controls, including hedgehog degree controls and a trivial constant control. 4. The corrected N=144 finite-volume Callias spectrum sweep finds a low chiral subspace for the full triple-wall background. At coupling g=2, increasing the crop halfwidth from 6 to 12 drives the lowest eigenvalue from 1.884161188e-01 to 6.983496947e-03. The low-mode Gamma7 subspace diagnostic gives maximal chirality eigenvalue 1.000000. 5. The one-wall deletion comparison at crop halfwidth 10 and coupling g=2 shows that the low sector depends on the full labelled wall triple. The full triple has lowest eigenvalue 3.716889734e-02 with a low chiral subspace, while deleting W1, W2, or W3 opens a gap to approximately 2.00023 in each case. This supports the chain: Brunnian labelled wall sector -> degree-one Callias mass map -> low finite-volume Callias/JR sector -> disappearance of the low sector under deletion of any one wall. Important caveat: the current doubled Clifford implementation detects a chiral low subspace, but does not yet isolate a single net Standard-Model chiral index. The reduced/physical chiral projection remains a separate step. The package deliberately excludes __pycache__ and .pyc files. It includes README, manifest, SHA256 checksums, source scripts, numerical reports, CSV diagnostics, and the relevant N144 co-registered wall fields.

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Zenodo
创建时间:
2026-07-27
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