Alternative k=-1 loop quantum cosmology

Yang J, Zhang C, Zhang X (2023)

Publication Type: Journal article

Publication year: 2023


Book Volume: 107

Article Number: 046012

Journal Issue: 4

DOI: 10.1103/PhysRevD.107.046012


An alternative quantization of the gravitational Hamiltonian constraint of the k=-1 Friedmann-Robertson-Walker model is proposed by treating the Euclidean term and the Lorentzian term independently, mimicking the treatment of full-loop quantum gravity. The resulting Hamiltonian constraint operator for the k=-1 model with a massless scalar field is successfully constructed, and it is shown to have the corrected classical limit. Compared to the former quantization schemes in the literature where only the Euclidean term is quantized, the new quantum dynamics of the k=-1 model with a massless scalar field indicates that the classical big bang singularity is replaced by an asymmetric quantum bounce.

Authors with CRIS profile

Additional Organisation(s)

Involved external institutions

How to cite


Yang, J., Zhang, C., & Zhang, X. (2023). Alternative k=-1 loop quantum cosmology. Physical Review D, 107(4).


Yang, Jinsong, Cong Zhang, and Xiangdong Zhang. "Alternative k=-1 loop quantum cosmology." Physical Review D 107.4 (2023).

BibTeX: Download