Geometric Derivation of the Chronometric Redshift

The chronometric redshift-distance relation z = tan^2(1/2ρ), where ρ is the distance in radians in the Einstein metric, is derived by an elementary geometric analysis comparable to that in traditional analysis 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_μ, takes the form sec^2(1/2t). At the point of observation t = ρ, implying that for a sufficiently localized source, observed wave lengths are a factor of sec^2(1/2ρ) greater than the corresponding emitted wave lengths.