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Cosmology from pregeometry

2021/04/30 by C. Wetterich
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter universe #Mathematical physics #Metric expansion of space #Non-standard cosmology #Physics #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Relativity and Gravitational Theory #Theoretical physics #Universe #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.104.104040

Further explanations, new references, 63 pages, 9 figures

arxiv created 2021/11/08 · openalex publication_date 2021/11/16 · arxiv updated 2021/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss cosmological solutions for a diffeomorphism invariant gauge theory of the noncompact 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 nonvanishing correlation functions for the fluctuations of all fields. There is no physical big bang singularity.

Citations