Abstract
Based on the cosmological principle and quantum Yang-Mills gravity in the super-macroscopic limit, we obtain an exact recession velocity and cosmic redshift z, as measured in an inertial frame F F(t,x,y,z). For a matter-dominated universe, we have the effective cosmic metric tensor G(mu nu),(t) = (B-2(t), -A(2)(t), -A(2)(t), -A(2)(t)), A proportional to B proportional to t(1/2), where t has the operational meaning of time in F frame. We assume a cosmic action S S-cos involving G(mu nu)(t) and derive the 'Okubo equation' of motion, G(mu v) (t)delta S-mu delta S-nu - m(2) = 0, for a distant galaxy with mass m. This cosmic equation predicts an exact recession velocity, (r) over dot = rH/[1/2 + root 1/4 + r(2)H(2)/CO2] < C-o, where H = (A)over dot (t)/A(t) and C-o = B/A, as observed in the inertial frame F. For small velocities, we have the usual Hubble's law (r)over dot approximate to rH for recession velocities. Following the formulation of the accelerated Wu-Doppler effect, we investigate cosmic redshifts z as measured in F. It is natural to assume the massless Okubo equation, G(mu nu)(t)delta(mu)psi(e)delta(nu)psi(e) = 0, for light emitted from accelerated distant galaxies. Based on the principle of limiting continuation of physical laws, we obtain a transformation for covariant wave 4-vectors between and inertial and an accelerated frame, and predict a relationship for the exact recession velocity and cosmic redshift, z = [(1 + V-r)/( 1-V-r(2))(1/2)] - 1, where V-r = (r)over dot/C-o < 1, as observed in the inertial frame F. These predictions of the cosmic model are consistent with experiments for small velocities and should be further tested.