Towards p-Adic matter in the Universe

Abstract

Abstract Starting from p-adic string theory with tachyons, we introduce a new kind of non-tachyonic matter which may play an important role in evolution of the Universe. This matter retains nonlocal and nonlinear p-adic string dynamics, but does not suffer of negative square mass. In space-time dimensions D = 2+4k, what includes D = 6, 10, ..., 26, the kinetic energy term also maintains correct sign. In these spaces this p-adicmatter provides negative cosmological constant and timedependent scalar field solution with negative potential. Their possible cosmological role is discussed. We have also connected non-locality with string world-sheet in effective Lagrangian for p-adic string. © Springer Japan 2013.