Cosmological relativity: A special relativity for cosmology

Details Cosmological relativity: A special relativity for cosmology Cosmological relativity: A special relativity for cosmology

Jul 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995foph...25.1029c&link_type=abstract

Foundations of Physics, Volume 25, Issue 7, pp.1029-1040

Physics

8

Scientific paper

Under the assumption that Hubble's constant H0 is constant in cosmic time, there is an analogy between the equation of propagation of light and that of expansion of the universe. Using this analogy, and assuming that the laws of physics are the same at all cosmic times, a new special relativity, a cosmological relativity, is developed. As a result, a transformation is obtained that relates physical quantities at different cosmic times. In a one-dimensional motion, the new transformation is given by 10701_2005_Article_BF02059524_TeX2GIFE1.gif x' = {x - Tv}/{(1 - T^2 /T_0^2 )^{{1 / 2}}v' = {v - xT/T_0^2 }/{(1 - T^2 /T_0^2 )^{{1 /2 }} where x and v are the coordinate and velocity, T is the cosmic time measured backward with respect to our present time T=0, tand T0 is Hubble's time. Some consequences of this transformation are given, and its applicability limitation is pointed out.

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