Dimension of the Universe

Details Dimension of the Universe Dimension of the Universe

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.3079c&link_type=abstract

Physical Review D, vol. 31, Issue 12, pp. 3079-3085

Physics

20

Supergravity, Origin And Formation Of The Universe

Scientific paper

The dynamical evolution of the Universe is represented by the wave packet of Hartle and Hawking's ``ground state.'' Its most probable trajectory arises by a quantum tunneling from a gravitational instanton. We discuss the dimensionality of the Universe within the framework of eleven-dimensional supergravity as a true Kaluza-Klein theory. By using some minisuperspace ansatz, it is proved that only S4×S7 instantons are possible. From the viewpoint of quantum cosmology, it seems that the main reason the apparent spacetime is four-dimensional is simply that there does not exist any gravitational instanton without a four-dimensional sector in the theory.

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