Masses of the three neutrino mass eigenstates are predicted to be m0, 4m0 & 22m0 where m0 = 2.281 meV/c². These predictions are arrived at by applying two ad-hoc postulates to neutrino oscillation data. First postulate is that the mass m0 of the lightest neutrino mass eigenstate is the smallest quantum of mass and masses of all the massive elementary particles are positive integer multiples of m0. 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 is represented by a cosmological constant Λ or, equivalently, a vacuum energy with constant density ρΛ = αg4 ρp, where ρp is the Planck Density. These postulates also lead to the prediction of the value of (dimensionless) vacuum energy density to be ΩΛ h2 = 0.3344, in agreement with the ΛCDM model. Furthermore, the effective electron neutrino mass in β decay is predicted to be mβ = 9.185 meV/c². We also predict the effective Majorana mass of electron neutrino to be mββ ≤ 5.803 meV/c². This upper bound on mββ is then used to calculate lower bounds on half-lifes of various isotopes expected to undergo a neutrinoless double beta (0νββ) decay. Finally the two postulates are used to construct a natural system of units.