A path to Balmer's formula: the Pythagorean search for simplicity and harmony

TL;DR

This paper presents a derivation of Balmer's formula based on principles of simplicity and harmony, aiming to provide a more intuitive understanding of the spectral lines of hydrogen.

Contribution

It introduces a novel derivation of Balmer's formula rooted in philosophical principles, offering a new perspective on atomic spectral lines.

Findings

Derivation of Balmer's formula from first principles

Emphasis on simplicity and harmony in scientific derivations

Enhanced conceptual understanding of atomic spectra

Abstract

A derivation of Balmer's formula is presented, guided by the principles of simplicity and harmony.