Quantum Kaluza-Klein Cosmologies (V)
Abstract
In the No-boundary Universe with d=11 supergravity, under the Sn × S11-n Kaluza-Klein ansatz, the only seed instanton for the universe creation is a S7 × S4 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.
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