On p-adic and adelic wave function of the universe.

Details On p-adic and adelic wave function of the universe. On p-adic and adelic wave function of the universe.

Oct 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996pobeo..54...77d&link_type=abstract

Publications of the Astronical Observatory of Belgrade, No. 54, p. 77 - 80

Astronomy and Astrophysics

Astronomy

Universe: Quantum Effects, Universe: Metrics

Scientific paper

In the Hartle-Hawking approach the wave function for the ground state of a spatially closed universe is obtained by Feynman's path integral method. It corresponds to an amplitude of transition from "nothing" to 3-dimensional hypersurface over all compact 4-metrics connecting these two 3-space states. This article represents further development of one of the authors' (B.D.) idea that integration over compact real metrics has to be extrapolated to all p-adic compact metrics. Adelic wave function of the universe, unifies the wave functions calculated over real and p-adic metrics, and yields the space-time discreteness.

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