What question did this study set out to answer?

To formulate a geometric spinor architecture for fundamental constants using a nontrivial Z₂ fiber bundle constructed over a φ-torus.

August 16, 2026Open Access

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

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Authors

ACAndrew Stewart Caldin

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Implication

Theoretical model reveals a nontrivial Z₂ fiber bundle on a golden-ratio torus with holonomy −1, suggesting a geometric framework for encoding fundamental physical constants.

Key Points

To formulate a geometric spinor architecture for fundamental constants using a nontrivial Z₂ fiber bundle constructed over a φ-torus.
Modeled a discrete two-point Z₂ fiber bundle over a φ-torus base space (S¹ × S¹).
Calculated the topological holonomy along the φ-cycle to characterize bundle twists and geometric symmetries.
Demonstrated that the fiber bundle possesses a holonomy of −1 along the φ-cycle (hol(γ_φ) = −1), corresponding to a nontrivial Möbius-like half-twist.
Linked the toroidal twist topology to the golden ratio, the Möbius–Kantor graph, the golden angle (≈ 137.5°), and base-60 angular subdivisions.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a817a33f2fb91fc834addd9 https://doi.org/10.5281/zenodo.21928744

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Implication

Theoretical model reveals a nontrivial Z₂ fiber bundle on a golden-ratio torus with holonomy −1, suggesting a geometric framework for encoding fundamental physical constants.

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

Discussion

Member takes

Implication

Key Points

Cite This Study

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

Discussion

Member takes

Implication

Key Points

Cite This Study

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