Algorithmic Complexity in Cosmology and Quantum Gravity

TL;DR

This paper explores how algorithmic complexity can be used to analyze cosmological models, quantum gravity, and black hole entropy, providing a novel approach to understanding the universe's fundamental structure.

Contribution

It introduces the application of algorithmic complexity to higher-dimensional cosmological models, wormholes, black hole entropy, and quantum gravity path integrals, offering new insights into these areas.

Findings

Higher-dimensional spacetime fluctuations governed by AC.

Transition from higher dimensions to 4D Lorentzian universe.

AC-based analysis of black hole entropy and wormholes.

Abstract

In this article we use the idea of algorithmic complexity (AC) to study various cosmological scenarios, and as a means of quantizing the gravitational interaction. We look at 5D and 7D cosmological models where the Universe begins as a higher dimensional Planck size spacetime which fluctuates between Euclidean and Lorentzian signatures. These fluctuations are governed by the AC of the two different signatures. At some point a transition to a 4D Lorentzian signature Universe occurs, with the extra dimensions becoming ``frozen'' or non-dynamical. We also apply the idea of algorithmic complexity to study composite wormholes, the entropy of blackholes, and the path integral for quantum gravity.