Gravitational Coupling Constant, Neutrinos And Dark Energy

Masses of the three neutrino mass eigenstates are predicted to be m₀, 4m₀ & 22m₀ (or 23m₀) where m₀ = 2.283 (or 2.183) meV/c², based on two ad-hoc postulates. First postulate is that the mass m₀ of the lightest neutrino mass eigenstate is the smallest quantum of mass. The dimensionless gravitational coupling constant αg is then defined as, αg = m₀/Mp, where Mp is the Planck Mass. The second postulate is that the dark energy density of the ΛCDM model is ρΛ = αg⁴ ρp, where ρp is the Planck Density. Application of these postulates to neutrino oscillation data gives ΩΛ h² = 0.3354 (or 0.2807) in good agreement with the value obtained from cosmological data using ΛCDM model. The effective neutrino mass of the β decay is predicted to be mβ = 4.02m₀ (or 4.14m₀). We also predict the upper limits on the effective Majorana mass mββ of the neutrinoless double beta decay (0νββ). These upper limits are then used to calculate the lower limits on the half lifes of various isotopes expected to undergo 0νββ. Finally the two postulates are used to define a natural system of units