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pAdic and Adelic Cosmology: pAdic Origin of Dark Energy and
 Dark Matter. pAdic Mathematical Physics. AIP Conference Proceedings, 826, 25
, 2006
"... Abstract. A brief review of padic and adelic cosmology is presented. In particular, padic and adelic aspects of gravity, classical cosmology, quantum mechanics, quantum cosmology and the wave function of the universe are considered. pAdic worlds made of padic matters, which are different from re ..."
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Cited by 11 (8 self)
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Abstract. A brief review of padic and adelic cosmology is presented. In particular, padic and adelic aspects of gravity, classical cosmology, quantum mechanics, quantum cosmology and the wave function of the universe are considered. pAdic worlds made of padic matters, which are different from real world of ordinary matter, are introduced. Real world and padic worlds make the universe as a whole. pAdic origin of the dark energy and dark matter are proposed and discussed. 1.
pAdic and Adelic Quantum Mechanics
 Proc. V. A. Steklov Inst. Math
, 2004
"... pAdic mathematical physics emerged as a result of efforts to find a nonArchimedean approach to the spacetime and string dynamics at the Planck scale. One of its main achievements is a successful formulation and development of padic and adelic quantum mechanics, which have complexvalued wave func ..."
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Cited by 9 (5 self)
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pAdic mathematical physics emerged as a result of efforts to find a nonArchimedean approach to the spacetime and string dynamics at the Planck scale. One of its main achievements is a successful formulation and development of padic and adelic quantum mechanics, which have complexvalued wave functions of padic and adelic arguments, respectively. Various aspects of these quantum mechanics are reviewed here. In particular, the corresponding Feynman’s path integrals, some minisuperspace cosmological models, and relevant approache to string theory, are presented. As a result of adelic approach, padic effects exhibit a spacetime and some other discreteness, which depend on the adelic quantum state of the physical system under consideration. Besides review, this article contains also some new results.
NonArchimedean Geometry and Physics on Adelic Spaces ∗
, 2003
"... This is a brief review article of various applications of nonArchimedean geometry, padic numbers and adeles in modern mathematical physics. 1 ..."
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Cited by 1 (0 self)
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This is a brief review article of various applications of nonArchimedean geometry, padic numbers and adeles in modern mathematical physics. 1