p-Adic and Adelic Cosmology: p-Adic Origin of Dark Energy and Dark Matter

p-ADIC AND ADELIC MINISUPERSPACE QUANTUM COSMOLOGY

We consider formulation and some elaboration of p-adic and adelic quantum cosmology. Adelic generalization of the Hartle-Hawking proposal does not work in models with matter fields. p-Adic and adelic minisuperspace quantum cosmology is well defined as an ordinary application of p-adic and adelic quantum mechanics. It is illustrated by a few of minisuperspace cosmological models in one, two and ...

Adelic Quantum Mechanics: Nonarchimedean and Noncommutative Aspects

We present a short review of adelic quantummechanics pointing out its non-Archimedean and noncommutative aspects. In particular, p-adic path integral and adelic quantum cosmology are considered. Some similarities between p-adic analysis and q-analysis are noted. The p-adic Moyal product is introduced.

Towards effective Lagrangians for adelic strings

p-Adic strings are important objects of string theory, as well as of p-adic mathematical physics and nonlocal cosmology. By a concept of adelic string one can unify and simultaneously study various aspects of ordinary and p-adic strings. By this way, one can consider adelic strings as a very useful instrument in the further investigation of modern string theory. It is remarkable that for some s...

Quantum Cosmology and Tachyons

We discuss the relevance of the classical and quantum rolling tachyons inflation in the frame of the standard, p-adic and adelic minisuperspace quantum cosmology. The field theory of tachyon matter proposed by Sen in a zero-dimensional version suggested by Kar leads to a model of a particle moving in a constant external field with quadratic damping. We calculate the exact quantum propagator of ...

P-adic Length Scale Hypothesis and Dark Matter Hierarchy