TITLE:
An Interesting Mathematical Relation between the Proton Mass, the Proton Radius, the Fine Structure Constant, the Compton Wavelength and the Hagedorn Temperature
AUTHORS:
Espen Gaarder Haug
KEYWORDS:
Proton Radius, Fine Structure Constant, Proton Mass, Reduced Compton Wavelength
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.5 No.2,
March
20,
2019
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.