Cosmology from pregeometry

TL;DR

This paper presents a gauge theory-based model of pregeometry that reproduces general relativity and predicts a universe without a big bang singularity, featuring late-time dark energy, dark matter, and early inflation.

Contribution

It introduces a diffeomorphism invariant gauge theory of the Lorentz group that unifies gravity, dark energy, and dark matter within a pregeometric framework, avoiding the big bang singularity.

Findings

Stable Minkowski space at large times

Prediction of dynamical dark energy and dark matter

Absence of a big bang singularity in the model

Abstract

We discuss cosmological solutions for a diffeomorphism invariant gauge theory of the non-compact Lorentz group $SO(1,3)$. Besides the gauge bosons our model of pregeometry contains a vector field in the vector representation of $SO(1,3)$ and a scalar singlet. General relativity and variable gravity emerge as effective theories for large distances and times in Planck units. We propose an approximation to the effective action with up to two derivatives. For a suitable range of parameters the universe approaches for large times stable Minkowski space. For late cosmology the model predicts dynamical dark energy and provides for a candidate for dark matter. Early cosmology is characterized by an inflationary epoch. The beginning of the universe in the infinite past is great emptiness, corresponding to an ultraviolet fixed point with the associated quantum scale symmetry. The beginning universe is a vacuum state with vanishing expectation values and finite non-vanishing correlation functions for the fluctuations of all fields. There is no physical big bang singularity.