p-Adic and Adelic Generalization of Quantum Cosmology

Abstract

p-Adic and adelic generalization of ordinary quantum cosmology is considered. In [1], we have 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, we show existence of the corresponding vacuum eigenstates. Adelic wave function contains some information on discrete structure of space-time at the Planck scale.

12 pages

References in corpus (5)

• Tachyon Condensation and Brane Descent Relations in p-adic String Theory
• Adelic Harmonic Oscillator
• p-Adic Path Integrals for Quadratic Actions
• p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency
• p-Adic and Adelic Free Relativistic Particle

Cited by in corpus (1)

• Acausal quantum theory for non-Archimedean scalar fields