Discrete Lorentzian quantum gravity

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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.

The most prominent supporters of this approach are Jan Ambjørn and Renate Loll.

[edit] Sources

• Quantum gravity: progress from an unexpected direction
• R. Loll, J. Ambjørn, J. Jurkiewicz, The Universe from Scratch, hep-th/0509010 (review paper commissioned by Contemporary Physics and aimed at a wider physics audience)
• J. Ambjørn, J. Jurkiewicz, R. Loll, Reconstructing the Universe, hep-th/0505154
• R. Loll, Discrete Lorentzian Quantum Gravity, arXiv:hep-th/0011194v1 21 Nov 2000
• J Ambjørn, A. Dasgupta, J. Jurkiewicz, and R. Loll, A Lorentzian cure for Euclidean troubles, arXiv:hep-th/0201104 v1 14 Jan 2002
• Lorentzian quantum gravity on arxiv.org