Three Generations of Leptonic Mass and Half-life Averaging

Based on an electron half-life of 2.56 x 10$^{30}$ yrs, the gravitational implications of cube root averaging are examined. The half-life average is easily related to both the neutron's beta asymmetry decay constant as well as its phase space factor. The mass average gravitational accounts for (B$^{0}$ -- B$^{0 })$ and (B$^{\ast }$- B$^{0 })$. The link to gravitation arises from the experimental intervention of three additional spatial, string dimensions into our local brane at a four force uniting energy [2.961 Tev] with a Newtonian 1/r$^{2}$ limiting range R=0.7948 x 10$^{-8}$ cm; the latter when combined with the (SB) radiation constant at 273.14K creates a universal (i.e., charge quantization) leptonic mass to time average luminosity. When it is combined with the strong q / e$^{ }$\={ } ratio and the earth-sun gravitational packing fractions, the result matches both Dehmelt's geonium minimum and enlarges cube root averaging to include the earth-sun, one way gravitational transmission times.