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Letter: Quantum Kaluza-Klein Cosmologies
Authors:Zhong Chao Wu
Institution:(1) Department of Physics, Beijing Normal University, Beijing, 100875, People's Republic of China
Abstract:In the No-boundary Universe with d = 11 supergravity, under the S n × S 11–n Kaluza-Klein ansatz, the only seed instanton for the universe creation is a S 7 × S 4 space. It is proven that for the Freund-Rubin, Englert and Awada-Duff-Pope models the macroscopic universe in which we are living must be 4- instead of 7-dimensional without appealing to the anthropic principle.
Keywords:Quantum cosmology  Kaluza-Klein theory  supergravity  dimensionality  gravitational instanton
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