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Discrete Lorentzian quantum gravity
In the theory of discrete Lorentzian quantum gravity, space itself is modeled by a lattice instead of a manifold.
This theory is different from other lattice methods, in that the geometry of the lattice is Minkowskian and not Euclidian in nature. The goal of this method was and is to come up with a variant of quantum gravity which would preserve Lorentz invariance without Wick rotation, which is questionable for pseudo Riemannian manifolds without a timelike Killing vector field.
Sources
- Quantum gravity: progress from an unexpected direction
- "Discrete Lorentian Quantum Gravity", R. Loll, arXiv:hep-th/0011194v1 21 Nov 2000
- "A Lorentian cure for Euclidean troubles", J Ambjorn, A. Dasgupta, J. Jurkiewicz, and R. Loll, arXiv:hep-th/0201104 v1 14 Jan 2002
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details