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Article

Lorentzian Quantum Cosmology from Effective Spin Foams

by
Bianca Dittrich
1,* and
José Padua-Argüelles
1,2,*
1
Perimeter Institute, 31 Caroline Street North, Waterloo, ON N2L 2Y5, Canada
2
Department of Physics and Astronomy, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada
*
Authors to whom correspondence should be addressed.
Universe 2024, 10(7), 296; https://doi.org/10.3390/universe10070296
Submission received: 29 April 2024 / Revised: 3 July 2024 / Accepted: 5 July 2024 / Published: 13 July 2024
(This article belongs to the Special Issue Universe: Feature Papers 2024—'Cosmology')

Abstract

Effective spin foams provide the most computationally efficient spin foam models yet and are therefore ideally suited for applications, e.g., to quantum cosmology. Here, we provide the first effective spin foam computations of a finite time evolution step in a Lorentzian quantum de Sitter universe. We will consider a setup that computes the no-boundary wave function and a setup describing the transition between two finite scale factors. A key property of spin foams is that they implement discrete spectra for the areas. We therefore study the effects that are induced by the discrete spectra. To perform these computations, we had to identify a technique to deal with highly oscillating and slowly converging or even diverging sums. Here, we illustrate that high-order Shanks transformation works very well and is a promising tool for the evaluation of Lorentzian (gravitational) path integrals and spin foam sums.
Keywords: spin foams; quantum cosmology; quantum gravity spin foams; quantum cosmology; quantum gravity

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MDPI and ACS Style

Dittrich, B.; Padua-Argüelles, J. Lorentzian Quantum Cosmology from Effective Spin Foams. Universe 2024, 10, 296. https://doi.org/10.3390/universe10070296

AMA Style

Dittrich B, Padua-Argüelles J. Lorentzian Quantum Cosmology from Effective Spin Foams. Universe. 2024; 10(7):296. https://doi.org/10.3390/universe10070296

Chicago/Turabian Style

Dittrich, Bianca, and José Padua-Argüelles. 2024. "Lorentzian Quantum Cosmology from Effective Spin Foams" Universe 10, no. 7: 296. https://doi.org/10.3390/universe10070296

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