Spin/Phase/Holonomy from Defect Microstructure in Charlton Geometry: A Single Theorem Closing the 2026a–2026c Obligations
Abstract
We unify the Pauli, Born, and Bell “brick” arguments of the Charlton Geometry (CG) series into a single Spinc–holonomy framework in which (i) the Clifford/Spin lift is canonical, (ii) the Z2 exchange sign is determined from defect microstructure rather than selected as an allowed option, and (iii) the U(1) phase sector arises as intrinsic monodromy of the CG connection. The central result is a defect Spinc–holonomy determination theorem: localized ω-defects canonically induce a Spinc structure on indistinguishable configuration spaces, together with defect-determined invariants (ν, θ) controlling exchange holonomy and phase monodromy. From this we derive (a) Pauli exclusion on the ν = 1 branch, (b) Born uniqueness as the invariant pushforward of Haar measure on Z2 °ø U(1) under rotational covariance and the spinorial half-angle constraint, and (c) the precise location of Bell–CHSH as a theorem of the factorizable subclass of quotients, with violation corresponding to shared-lift coupling. We include an explicit obligation-closure map showing which lemmas discharge the open obligations stated in Charlton 2026a–2026c.
Fields of Study & Subjects
Relativity and Gravitational Theory
Quantum Mechanics and Applications
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 January 2026
- Document type
- Preprint