Symmetries,Singularities and the De-Emergence of Space
May, 200710 pages
Published in:
- Int.J.Mod.Phys.D 17 (2008) 525-531
e-Print:
- 0705.2643 [hep-th]
Report number:
- AEI-2007-013
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Abstract: (arXiv)
Recent work has revealed intriguing connections between a Belinsky-Khalatnikov-Lifshitz-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.- Cosmology
- singularities
- quantum gravity
- Kac-Moody algebras
- algebra: Kac-Moody
- space-time
- boundary condition
- gravitation
- Hamiltonian formalism
- quantum gravity
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