On the relation between mass of pion, fundamental physical constants and cosmological parameters

Abstract

In this article we reconsider the old mysterious relation, advocated by Dirac and Weinberg, between the mass of the pion, the fundamental physical constants, and the Hubble parameter. By introducing the cosmological density parameters, we show how the corresponding equation may be written in a form that is invariant with respect to the expansion of the Universe and without invoking a varying gravitational "constant", as was originaly proposed by Dirac. It is suggest that, through this relation, Nature gives a hint that virtual pions dominante the "content" of the quantum vacuum.

References in corpus (3)

• Does the cosmological constant imply the existence of a minimum mass?
• A few provoking relations between dark energy, dark matter and pions
• The conservation of energy-momentum and the mass for the graviton

Cited by in corpus (7)

• Is dark matter an illusion created by the gravitational polarization of the quantum vacuum?
• Quantum Vacuum and Virtual Gravitational Dipoles: The solution to the Dark Energy Problem?
• On the gravitational field of a point-like body immersed in quantum vacuum
• Dark energy, antimatter gravity and geometry of the Universe
• On the vacuum fluctuations, Pioneer Anomaly and Modified Newtonian Dynamics
• The signatures of new physics, astrophysics and cosmology?
• Derivation of the Planck Mass from Gravitational Polarization of the Quantum Vacuum