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Cosmological relativity: A special relativity for cosmology

Authors:

M Carmeli

Institution:

1. Department of Physics, Ben-Gurion University of the Negev, 84105, Beer Sheva, Israel

Abstract:

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

$x' = \frac{{x - Tv}}{{(1 - T^2 /T_0^2 )^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} }},v' = \frac{{v - xT/T_0^2 }}{{(1 - T^2 /T_0^2 )^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} }}$

Keywords:
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