- #1
- 15,168
- 3,374
Carlip has argued that the dimensional reduction in many apprroaches to quantum gravity is related to the BKL limit where the dynamics becomes 1D, and the spectral dimension becomes 2D. http://arxiv.org/abs/0909.3329
Interestingly, another viewpoint about the (de)-emergence of space comes from Damour and Nicolai also via studying the BKL limit. Related?
http://arxiv.org/abs/0705.2643
Symmetries,Singularities and the De-Emergence of Space
Thibault Damour, Hermann Nicolai
Recent work has revealed intriguing connections between a Belinsky-Khalatnikov-Lifgarbagez-type analysis of spacelike singularities in General Relativity and certain infinite dimensional Lie algebras, and in particular the `maximally extended' hyperbolic Kac--Moody algebra E10. In this essay we argue that these results may lead to an entirely new understanding of the (quantum) nature of space(-time) at the Planck scale, and hence -- via an effective `de-emergence' of space near a singularity -- to a novel mechanism for achieving background independence in quantum gravity.
Interestingly, another viewpoint about the (de)-emergence of space comes from Damour and Nicolai also via studying the BKL limit. Related?
http://arxiv.org/abs/0705.2643
Symmetries,Singularities and the De-Emergence of Space
Thibault Damour, Hermann Nicolai
Recent work has revealed intriguing connections between a Belinsky-Khalatnikov-Lifgarbagez-type analysis of spacelike singularities in General Relativity and certain infinite dimensional Lie algebras, and in particular the `maximally extended' hyperbolic Kac--Moody algebra E10. In this essay we argue that these results may lead to an entirely new understanding of the (quantum) nature of space(-time) at the Planck scale, and hence -- via an effective `de-emergence' of space near a singularity -- to a novel mechanism for achieving background independence in quantum gravity.