The Proto-Spinor: Conditional Spinorial Closure and the q79 Interface

Corrected sixth edition. This paper isolates the spinorial structure that follows after explicit geometric premises are supplied. A rank-three world-in-world comparison field has nine local components without multiplying manifold dimensions; retaining the nontrivial loop class of SO(3) conditionally selects the faithful Spin(3) = SU(2) double-cover carrier. For the selected q79 degree-three spectral cover, the paper records the exact 1+2 trace split, the common 1+2+3 carrier, a local binary-dihedral lift, and one universal flat Z64 differential line whose determinant, carrier, root-plane, and finite-Hessian actions intertwine. The Fourier-Mukai return admits exactly two conjugate phase-root lifts. Scope boundary. Strict global Spin closure, Lorentzian spinors, masses, and particle assignments remain downstream obligations.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-28
DOI
https://doi.org/10.5281/zenodo.21650859
Primary Topic
Algebraic and Geometric Analysis
Type
preprint
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preprint

The Proto-Spinor: Conditional Spinorial Closure and the q79 Interface

Peter Nero
Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
preprint

The Proto-Spinor: Conditional Spinorial Closure and the q79 Interface

Peter Nero
preprint en

Abstract

Corrected sixth edition. This paper isolates the spinorial structure that follows after explicit geometric premises are supplied. A rank-three world-in-world comparison field has nine local components without multiplying manifold dimensions; retaining the nontrivial loop class of SO(3) conditionally selects the faithful Spin(3) = SU(2) double-cover carrier. For the selected q79 degree-three spectral cover, the paper records the exact 1+2 trace split, the common 1+2+3 carrier, a local binary-dihedral lift, and one universal flat Z64 differential line whose determinant, carrier, root-plane, and finite-Hessian actions intertwine. The Fourier-Mukai return admits exactly two conjugate phase-root lifts. Scope boundary. Strict global Spin closure, Lorentzian spinors, masses, and particle assignments remain downstream obligations.

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
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