A -Adic Matter in a Closed Universe
arXiv:2201.02200 · doi:10.3390/sym14010073
Abstract
In this paper, we introduce a new type of matter that has origin in -adic strings, i.e., strings with a -adic worldsheet. We investigate some properties of this -adic matter, in particular its cosmological aspects. We start with crossing symmetric scattering amplitudes for -adic open strings and related effective nonlocal and nonlinear Lagrangian which describes tachyon dynamics at the tree level. Then, we make a slight modification of this Lagrangian and obtain a new Lagrangian for non-tachyonic scalar field. {Using this new Lagrangian in the weak field approximation as a matter in Einstein gravity with the cosmological constant, one obtains an exponentially expanding FLRW closed universe.} At the end, we discuss the obtained results, i.e., computed mass of the scalar -adic particle, estimated radius of related closed universe and noted -adic matter as a possible candidate for dark matter.
arXiv comment16 pages, 2 figures
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