# Fundamental Nature of the Fine-Structure Constant

## DOI:

https://doi.org/10.14419/ijpr.v2i1.1817## Published:

2014-03-28## Abstract

Arnold Sommerfeld introduced the fine-structure constant that determines the strength of the electromagnetic interaction. Following Sommerfeld, Wolfgang Pauli left several clues to calculating the fine-structure constant with his research on Johannes Kepler's view of nature and Pythagorean geometry. The Laplace limit of Kepler's equation in classical mechanics, the Bohr-Sommerfeld model of the hydrogen atom and Julian Schwinger's research enable a calculation of the electron magnetic moment anomaly. Considerations of fundamental lengths such as the charge radius of the proton and mass ratios suggest some further foundational interpretations of quantum electrodynamics.

**Keywords:** Euler's constant, Fine-structure constant, Fundamental constants, Kepler's equation, Natural philosophy.

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