Mathematics – Logic
Scientific paper
Jun 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985crasg...2..213s&link_type=abstract
Academie des Sciences (Paris), Comptes Rendus, Serie Generale, La Vie des Sciences (ISSN 0762-0969), vol. 2, no. 3, May-June 198
Mathematics
Logic
Cosmology, Symmetry, Universe, Antimatter, Big Bang Cosmology, Geometry, Gravitation Theory, Isotropy, Philosophy, Set Theory, Thermodynamics
Scientific paper
Cosmological symmetries which have been observed and/or predicted mathematically are discussed, along with symmetries which might be expected yet have not been found. The advances of science have in large part been due to perceptions of order where order was previously unnoticed. Recent astronomical data revealed the expansion of the universe. Physicists group observed actions with mathematical models and have defined symmetries for the sky and for subatomic particles. The symmetries of the large scale are described in terms of the geometries of Euclid, Lobatchevski, and Riemann. The symmetries, together with known laws of physics, provide the bases for cosmological models. The universe is dynamic and does not rotate. The evolution equation of General Relativity predicts that the current expansion cannot last, a prediction verified by astronomical thermal radiation data. The course of the evolution of the universe is considered in terms of models and evidence for open or closed universes. Photometric evidence supports the Big Bang theory and a closed universe. However, if closed, the universe is electrically neutral, which requires a great deal more antimatter than detected thus far.
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