Newtonian Cosmology with Renormalized Zero-Point Radiation

It is shown that the infinite energy density of zero-point radiation can be renormalized to a finite value, K c o ρ 2 , where K o ρ is the inertial mass density corresponding to gravitational mass density ρ o , by inclusion of gravitational self-potential energy, provided that 4 2 π ρ G R o = 3 2 Kc , which is the condition that K c o ρ 2 closes the universe at radius R. When material mass m * is renormalized in the same way the result is m r m r R b g c hc h = − − * 2 1 2 2 . Negative mass m(r) interacting gravitationally with positive ρ o is accelerated outwards subject to K m r γ 2 b g = constant, where