Observational validation of the chronometric cosmology: I. Preliminaries and the redshift-magnitude relation

Results of comprehensive observational tests of the cosmological theory proposed by Segal in 1972 are summarized in this and succeeding notes. Within a framework of natural and general causality and symmetry considerations, the theory is mathematically essentially unique. It implies definite relations between directly observed quantities (redshift, apparent magnitude and diameter, number counts, and the like) which are entirely free of adjustable parameters, such as the q(0) and Lambda of general relativistic cosmologies. Rigorous statistical analysis of large ( greater, similar100) or systematically defined samples of galaxies or quasars accepts these relations at substantial probability levels. Note I establishes uniform statistical procedures and compares the redshift-magnitude relations of major samples with the theoretical relations of the present and expansion theories.