Dimensional transition of the universe

Mathematics

Scientific paper

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Cosmology, Einstein Equations, Field Theory (Physics), Gravitation, Relativity, Universe, Hamiltonian Functions, Space-Time Functions, Transformations (Mathematics)

Scientific paper

In the extended n-dimensional Einstein theory of gravitation, where the spacetime dimension can be taken as a dynamical variable which is determined by the Hamilton principle of minimizing the extended Einstein-Hilbert action, it is suggested that the Universe of four-dimensional spacetime may encounter an astonishing dimensional transition into a new universe of three-dimensional or higher-than-four-dimensional spacetime.

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