An Analysis of Chronometric Cosmology
Kaye, Maxwell H.
2021
- The standard model for cosmology, also known as Big Bang cosmology, is motivated by interpreting extra-galactic redshift as a result of the expansion of the Universe, which alters the frequency of traveling light similarly to the Doppler effect. In the Standard Model, space is infinite, flat, and expanding. From a small set of axioms about the symmetries of the universe and causality, we construct ... read morean alternative cosmology, proposed in the 1970s by Irving Ezra Segal, known as chronometric cosmology. In Segal's universe, the spatial part is finite, closed, and curved in the shape of a 3-Sphere, and redshift appears naturally as a consequence of generalized stereographic projection from the curved 3-sphere to its flat tangent space, the Minkowski spacetime.Locally, these two universes, Minkowski spacetime and Segal's cosmos, are indistinguishable. However, when one considers phenomena at large scales, the predicted dependence between redshift and distance varies in the two models, and hence in principle they can be tested against astronomical data. We consider two tests for the relationship between redshift and distance: the redshift-luminosity relation, and the redshift-number count relation.read less
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