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

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-14
DOI
https://doi.org/10.5281/zenodo.21928745
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Z₂ Fiber Bundle with Holonomy −1 on φ-Torus as Spinor Architecture — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Z₂ Fiber Bundle with Holonomy −1 on φ-Torus as Spinor Architecture — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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