Neutrino Masses, Gravitational Coupling Constant And Cosmological Constant

Masses of the three neutrino mass eigenstates are predicted to be $????_0$, $4????_0$ & $22????_0$ where $????_0 = 2.281 ????????????/c²$. These predictions are arrived at by applying two ad-hoc postulates to neutrino oscillation data. First postulate is that the mass $????_0$ 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 $????_0$. The dimensionless gravitational coupling constant $????_????$ is then defined as, $????_???? = ????_0/????_????$, where $????_????$ is the Planck Mass. The second postulate is that the dark energy driving the accelerated expansion of the universe is represented by a cosmological constant $????$ or, equivalently, a vacuum energy with constant density $????_???? = {????_????}^4 ????_????$, where $????_????$ is the Planck Density. These postulates also lead to the prediction of (dimensionless) vacuum energy density to be $????_???? ℎ^2 = 0.3344$, in agreement with the ΛCDM model. Furthermore, the effective electron neutrino mass in $????$ decay is predicted to be $????_???? = 9.185 meV/c^2$. We also predict the effective Majorana mass of electron neutrino to be $????_{????????} ≤ 5.803 meV/c^2$. This upper bound on $????_{????????}$ is then used to calculate lower bounds on half-lifes of various isotopes expected to undergo a neutrinoless double beta ($0νββ$) decay. A new natural system of units is proposed in which both $????_0$ & $????_????$ are unity.