p-adic and adelic generalization of quantum cosmology.

Mathematics – Logic

Scientific paper

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Cosmology

Scientific paper

p-adic and adelic generalization of ordinary quantum cosmology is considered. In 1996, the authors calculated p-adic wave functions for some minisuperspace cosmological models according to the "no-boundary" Hartle-Hawking proposal. In this article, applying p-adic and adelic quantum mechanics, they show existence of the corresponding vacuum eigenstates. Adelic wave function contains some information on discrete structure of space-time at the Planck scale.

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