A possible relation of the mass of the Universe with the characteristic sizes of elementary particles

TL;DR

This paper explores a potential link between the Universe's total mass and the characteristic sizes of elementary particles, suggesting a fundamental connection at the Planck scale.

Contribution

It proposes a novel relation connecting the Universe's mass with elementary particle sizes at the Planck density, bridging cosmology and particle physics.

Findings

Mass of the Universe relates to nucleon size at Planck density

Size of the observable Universe is comparable to pion wavelength

Suggests a fundamental link between cosmological and particle scales

Abstract

We show that the mass of the matter equal to the mass of the observable part of our Universe is reached at the Planck density in the volume which size is comparable with the nucleon size and is close to the pion Compton wavelength.