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(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# BKL dimensional reduction

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