Cosmological Daemon

TL;DR

This paper explores nonlocal string field theory equations in cosmology, introducing a 'daemon' function that influences universe evolution and can facilitate inflation scenarios with minimal scalar fields.

Contribution

It identifies the role of the daemon function as an external source in nonlocal cosmological models, offering new insights into universe dynamics and inflation.

Findings

Introduction of the daemon function as an external source

The daemon function influences universe evolution

Potential to achieve inflation with small scalar fields

Abstract

Classical versions of the Big Bang cosmological models of the universe contain a singularity at the start of time, hence the time variable in the field equations should run over a half-line. Nonlocal string field theory equations with infinite number of derivatives are considered and an important difference between nonlocal operators on the whole real line and on a half-line is pointed out. We use the heat equation method and show that on the half-line in addition to the usual initial data a new arbitrary function (external source) occurs that we call the daemon function. The daemon function governs the evolution of the universe similar to Maxwell`s demon in thermodynamics. The universe and multiverse are open systems interacting with the daemon environment. In the simplest case the nonlocal scalar field reduces to the usual local scalar field coupled with an external source which is discussed in the stochastic approach to inflation. The daemon source can help to get the chaotic inflation scenario with a small scalar field.