Nonextensive scalar field theories and dark energy models

TL;DR

This paper explores a scalar field model with chaotic dynamics that can generate dark energy, using nonextensive statistical mechanics with specific entropic indices, to better understand the universe's accelerated expansion.

Contribution

It introduces a novel scalar field model exhibiting maximal chaos and applies nonextensive statistics with specific entropic indices to describe its behavior.

Findings

Chaotic scalar fields can model dark energy phenomena.

The fluctuating momenta follow nonextensive statistics with q=3 or q=-1.

The model links chaos theory and cosmological dark energy understanding.

Abstract

Current astronomical measurements indicate that approximately 73% of the universe is made up of dark energy. Stochastically quantized self-interacting scalar fields can serve as suitable models to generate dark energy. We study a particular model where the scalar field theory underlying dark energy exhibits strongest possible chaotic behaviour. It is shown that the fluctuating chaotic field momenta obey a generalized (nonextensive) statistical mechanics, with an entropic index q given by q=3, respectively q=-1 if the escort formalism is used.