Cosmological quantum tunneling and dimension of the universe

Details Cosmological quantum tunneling and dimension of the universe Cosmological quantum tunneling and dimension of the universe

2011-08-02

arxiv.org/abs/1108.0682v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages Latex

Scientific paper

The probable trajectory of the ground state wave function of the universe arises through a quantum tunneling by gravitational instantons. We calculate the quantum tunneling rate for an n-dimensional closed Friedmann-Robertson-Walker universe with a cosmological constant. It is shown that the highest rate for creation of a Planck scale de Sitter universe from nothing occurs when the dimension of space-time is very close to four.

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