A LOW MATTER DENSITY DECAYING VACUUM COSMOLOGY FROM A COMPLEX METRIC

A low matter density decaying vacuum cosmology is proposed on the assu mption that the universe's radius is a complex quantity a if it is reg arded as having a zero energy-momentum tenser. But we find that when t he radius is real, it contains matter. Using the Einstein-Hilbert acti on principle, the physical scale factor R(t) = \(R) over cap(t)\ is ob tained as equal to (R-0(2) + t(2))(1/2) with R-0 representing the fini te radius of the universe at t = 0. The resulting physical picture is roughly a theoretical justification of the old Ozer-Taha model. The ne w model is devoid of all cosmological problems. In particular, it conf irms the bounds on Hp, the present value of the Hubble parameter: 0.85 < H-ptp < 1.91 and faces no age problem. We argue that the total ener gy density consists of parts corresponding to relativistic/non-relativ istic matter, a positive vacuum energy, a negative energy and a form o f matter with equation of state p(K) = -1/3 rho(K) (textures or genera lly K-matter), and the following predictions are made for the present non-relativistic era: Omega(M,non-rel) approximate to Omega(V,non-rel) approximate to 1/3, Omega(-) much less than 1, Omega(K) approximate t o 1 where a parameter corresponding to K-matter is taken to be unity. It is shown thar spacetime with a complex metric has signature changin g properties. Using quantum cosmological considerations, it is shown t hat the wavefunction is peaked about the classical contour of evolutio n and the minimum radius R-0 of the non-singular model is predicted as comparable with the Planck length.