Towards p-Adic Matter in the Universe

TL;DR

This paper introduces a new form of non-tachyonic p-adic matter with nonlocal dynamics, potentially influencing cosmic evolution and providing solutions with negative cosmological constants in specific space-time dimensions.

Contribution

It develops a non-tachyonic p-adic matter model that retains string-inspired nonlocality and explores its cosmological implications in higher-dimensional spaces.

Findings

Provides a non-tachyonic p-adic matter model with nonlocal dynamics.

Finds solutions with negative cosmological constant in specific dimensions.

Connects non-locality with string world-sheet in effective Lagrangian.

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-adic matter provides negative cosmological constant and time-dependent 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.