A possible symmetry and role for Euclidean space-time in cosmology |
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| Institution: | 1. Department of Physics, Qom Branch, Islamic Azad University, Qom, Iran;2. Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran;1. Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad 500078, India;2. Department of Astronomy, Osmania University, Hyderabad 500007, India;1. Department of Mathematical Sciences, University of Zululand, Private Bag X1001, Kwa-Dlangezwa, KwaZulu-Natal 3886, South Africa;2. Faculty of Natural Sciences, Mangosuthu University of Technology, Umlazi, South Africa |
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| Abstract: | In this paper, we consider conservation equation in cosmology and propose four possible forms of space-times for universe resulting from dual symmetry between scale factor and energy density in the universe with constant equation of state. We start to describe these four possible types of space-times for universe and it’s possible consequences. Due to the uniformity of the metric signature in Euclidean space-time, for the first time, we introduce a new symmetry for Euclidean space-time and consider it as a transition unstable state between the visible 4D universe and the invisible world with an extra dimension. Finally, we schematically represent these four possible space-times in a unique scenario for the universe. |
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