What question did this study set out to answer?

To derive the fine structure constant from golden ratio geometry and explore its significance.

March 8, 2026Open Access

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

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.

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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