The Fine Structure Constant and the Golden Angle: α ≈ φ²/360 as a Geometric Identity

Pei-Yuan Ju

doi:10.5281/zenodo.18899269

March 7, 2026Open Access

The Fine Structure Constant and the Golden Angle: α ≈ φ²/360 as a Geometric Identity

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Key Points

To derive the fine structure constant from golden ratio geometry and explore its significance.
Derivation of the fine structure constant from geometric principles related to the golden ratio.
Calculation of α⁻¹ based on φ²/360.
Evaluation of residual errors and their connection to quantum electrodynamics (QED).
Derived fine structure constant α⁻¹ is approximately 137.51.
Calculated using the relationship α⁻¹ ≈ φ²/360.
Observed 0.34% residual, indicating small potential for QED corrections.

Implication

This research derives the fine structure constant from geometric identities in golden ratio theory, suggesting intriguing implications for fundamental physics.

Abstract

We derive the fine structure constant α from golden ratio geometry, obtaining α⁻¹ ≈ φ²/360 = 137.51 as the zeroth-order result with a 0.34% residual amenable to QED correction.

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Cite This Study

Pei-Yuan Ju (2026) studied this question.

synapsesocial.com/papers/69ada892bc08abd80d5bbb30 https://doi.org/10.5281/zenodo.18899269

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The Fine Structure Constant and the Golden Angle: α ≈ φ²/360 as a Geometric Identity

Key Points

Implication

Abstract

Discussion

Cite This Study

The Fine Structure Constant and the Golden Angle: α ≈ φ²/360 as a Geometric Identity

Key Points

Implication

Abstract

Discussion

Cite This Study

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