English

Spacetime-noncommutativity regime of Loop Quantum Gravity

General Relativity and Quantum Cosmology 2017-01-25 v1

Abstract

A recent study by Bojowald and Paily provided a path toward the identification of an effective quantum-spacetime picture of Loop Quantum Gravity, applicable in the "Minkowski regime", the regime where the large-scale (coarse-grained) spacetime metric is flat. A pivotal role in the analysis is played by Loop-Quantum-Gravity-based modifications to the hypersurface deformation algebra, which leave a trace in the Minkowski regime. We here show that the symmetry-algebra results reported by Bojowald and Paily are consistent with a description of spacetime in the Minkowski regime given in terms of the κ\kappa-Minkowski noncommutative spacetime, whose relevance for the study of the quantum-gravity problem had already been proposed for independent reasons.

Keywords

Cite

@article{arxiv.1605.00497,
  title  = {Spacetime-noncommutativity regime of Loop Quantum Gravity},
  author = {Giovanni Amelino-Camelia and Malú Maira da Silva and Michele Ronco and Lorenzo Cesarini and Orchidea Maria Lecian},
  journal= {arXiv preprint arXiv:1605.00497},
  year   = {2017}
}
R2 v1 2026-06-22T13:46:37.248Z