Z₂ Fiber Bundle with Holonomy −1 on φ-Torus as Spinor Architecture — E8 Intelligence Research
FINDING: A nontrivial Z₂ fiber bundle over a φ-torus is proposed as a spinor architecture for fundamental constants, with holonomy −1 along the φ-cycle. | MATH: Holonomy hol(γ_φ) = −1; base space = φ-torus (S¹ × S¹); fiber = Z₂ (two-point discrete fiber); bundle is nontrivial (Möbius-like twist). | CONNECTION: The Z₂ twist mirrors the Möbius strip topology (half-twist), which relates to the golden ratio through the Möbius–Kantor graph and 4-cycle symmetries; the φ-cycle suggests a link to the golden angle (≈ 137.5°, derived from 1/φ²) and base-60 angular subdivisions. | DEPTH: 6 — The result is specific to a toroidal model and not yet experimentally validated, but the topological encoding of constants via holonomy is a deep structural idea. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-08-14
- DOI
- https://doi.org/10.5281/zenodo.21928744
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint