A few provoking relations between dark energy, dark matter and pions

Abstract

I present three relations, striking in their simplicity and fundamental appearance. The first one connects the Compton wavelength of a pion and the dark energy density of the Universe; the second one connects Compton wavelength of a pion and the mass distribution of non-baryonic dark matter in a Galaxy; the third one relates mass of a pion to fundamental physical constants and cosmological parameters. All these relations are in excellent numerical agreement with observations.