An Interesting Mathematical Relation between the Proton Mass, the Proton Radius, the Fine Structure Constant, the Compton Wavelength and the Hagedorn Temperature

Espen Gaarder Haug

Norwegian University of Life Sciences, Ås, Norway.

DOI: 10.4236/jhepgc.2019.52025                

Abstract

In this short note we present a possible connection between the proton radius and the proton mass using the fine structure constant. The Hagedorn temperature is related to the energy levels assumed to be required to free the quarks from the proton, where hadronic matter is unstable. We also speculate that there could be a connection between the Hagedorn temperature and the Planck temperature through the fine structure constant. Regarding whether or not there is something to this (or if it is purely a coincidence), we will leave to others and future research to explore. However, we think these possible relationships are worth further investigation.

Keywords

Proton Radius, Fine Structure Constant, Proton Mass, Reduced Compton Wavelength

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

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