GEOMETRIC DERIVATION OF THE CHRONOMETRIC REDSHIFT

The chronometric redshift-distance relation z = tan2(1/2rho), where rh o is the distance in radians in the Einstein metric, is derived by an elementary geometric analysis comparable to that in traditional analys is of the expanding universe model. The differential dT(t) of Einstein time evolution T(t) through time t, as applied to the local Minkowski coordinates x(mu), takes the form sec2(1/2t). At the point of observa tion t = rho, implying that for a sufficiently localized source, obser ved wave lengths are a factor of sec2(1/2rho) greater than the corresp onding emitted wave lengths.