Mathematical cosmology and extragalactic astronomy

An attempt is made to lay rational foundations for cosmology on the basis of the most elementary types of causality and related symmetry considerations. The theory employs a more natural operator to represent the physical energy than the conventional generator of temporal translation in Minkowski space. This new operator is a certain generator of the conformal group that physically closely approximates the conventional energy. A square-law redshift--distance dependence for sufficiently small distances is implied by the theory. 127 references