Dimensional transition of the space-time at the minimum action near the planck scale

Mathematics

Scientific paper

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Einstein Equations, Gravitation, Mathematical Models, Relativity, Space-Time Functions, Universe, Cosmology, Hamiltonian Functions, Hilbert Space, Supergravity

Scientific paper

In a model of the extended n-dimensional Einstein-Hilbert action
integral for space-time and matter, it is suggested that space-time (or
the universe), when contracted, may transit into a new dimension, either
higher or lower, at the minimum action near the Planck scale.

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