A concise 'golden' formula for the inverse fine-structure constant

I propose a compact formula for the inverse fine-structure constant. For N=4 this gives F(4)=137.035999112502 , i.e. a relative error of about 0.47 ppb with respectto the CODATA 2022 low-energy reference value 1/α = 137.035999177. fine-structure constant, golden ratio, closed-form approximation, α inverse

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-10
DOI
https://doi.org/10.5281/zenodo.16787000
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
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article

A concise 'golden' formula for the inverse fine-structure constant

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

A concise 'golden' formula for the inverse fine-structure constant

article en

Abstract

I propose a compact formula for the inverse fine-structure constant. For N=4 this gives F(4)=137.035999112502 , i.e. a relative error of about 0.47 ppb with respectto the CODATA 2022 low-energy reference value 1/α = 137.035999177. fine-structure constant, golden ratio, closed-form approximation, α inverse

Zenodo (CERN European Organization for Nuclear Research)
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Advanced Mathematical Theories and Applications
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A concise 'golden' formula for the inverse fine-structure constant · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS