A possible symmetry and role for Euclidean space-time in cosmology

•Introducing a kind of symmetry in the conservation equation.•Introducing a new type of symmetry for the sign in the Euclidean metric.•Introducing a new role for Euclidean space-time in cosmology.•Unique scenario for universe with different space-times. In this paper, we consider conservation equati...

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Bibliographic Details
Published inNew astronomy Vol. 89; p. 101635
Main Authors Ziyaee, A.R., Mohsenzadeh, M., Yusofi, E.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.11.2021
Subjects
Cosmology
Extra dimensions
Metric signature
Space-time
Space-time
Cosmology
Metric signature
Extra dimensions
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Summary:•Introducing a kind of symmetry in the conservation equation.•Introducing a new type of symmetry for the sign in the Euclidean metric.•Introducing a new role for Euclidean space-time in cosmology.•Unique scenario for universe with different space-times. 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.
ISSN:1384-1076
1384-1092
DOI:10.1016/j.newast.2021.101635