Mathematics – Logic
Scientific paper
Jul 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975pnas...72.2473s&link_type=abstract
Proceedings of the National Academy of Sciences of the United States of America, Volume 72, Issue 7, pp. 2473-2477
Mathematics
Logic
27
Scientific paper
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 q0 and Λ of general relativistic cosmologies. Rigorous statistical analysis of large (gtrsim 100) 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.
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