Five-fold symmetry in fractal atom hydrogen probed with accurate 1S-nS terms

TL;DR

This paper investigates five-fold symmetry and fractal properties in the hydrogen atom, linking geometric and spectral features, and predicts a specific transition frequency in the hydrogen spectrum.

Contribution

It introduces a novel analysis connecting fractal symmetry, Euclidean geometry, and spectral data in hydrogen, including predictions for upcoming measurements.

Findings

Hydrogen exhibits five-fold symmetry related to the golden ratio.

A Mexican hat spectral curve suggests the existence of mirrored antihydrogen.

Predicted 1S-3S transition frequency is 2,922,743,278,654 kHz.

Abstract

We probe Penrose's five-fold symmetry and fractal behavior for atom H. With radius r(H) derived from H mass m(H), H symmetry is governed by Euclid's golden ratio phi=0,5(sqrt(5)-1), as proved with accurate H terms. A Hund-type Mexican hat curve in the natural H spectrum points to mirrored antihydrogen Hbar. We predict that term H 1S-3S, to be measured soon, is 2 922 743 278 654 kHz.