Abstract

In this paper, we explore some cosmological solutions of the Friedmann–Lemaître–Robertson–Walker (FLRW) closed universe with nonlocal de Sitter gravity [Formula: see text] and nonlocal scalar field which has its origin in [Formula: see text]-adic string theory. In this case, we have that both geometrical and matter sectors of equations of motion (EoM) are nonlocal. The cosmological constant [Formula: see text] plays a role of dark energy (DE) and is related to the mass of scalar field as [Formula: see text]. We found that the cosmological constant [Formula: see text] depends on prime number [Formula: see text] as a discrete parameter and we conjectured that [Formula: see text] is not constant during the universe evolution.

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