IMHO as amateur QG watcher, this paper has considerable potential importance. Really impressed. Could be a game-changer:(adsbygoogle = window.adsbygoogle || []).push({});

http://arxiv.org/abs/1401.6441

A new vacuum for Loop Quantum Gravity

Bianca Dittrich, Marc Geiller

(Submitted on 24 Jan 2014)

We construct a new vacuum for loop quantum gravity, which is dual to the Ashtekar-Lewandowski vacuum. Because it is based on BF theory, this new vacuum is physical for (2+1)-dimensional gravity, and much closer to the spirit of spin foam quantization in general. To construct this new vacuum and the associated representation of quantum observables, we introduce a modified holonomy-flux algebra which is cylindrically consistent with respect to the notion of refinement by time evolution suggested in [1]. This supports the proposal for a construction of a physical vacuum made in [1,2], also for (3+1)-dimensional gravity. We expect that the vacuum introduced here will facilitate the extraction of large scale physics and cosmological predictions from loop quantum gravity.

10 pages, 5 figures

So far they've only worked this out for 2+1 dimensional gravity. Their reference [18 ] is to followup paper expected to do it for 3+1.

"[18] B. Dittrich and M. Geiller, to appear."

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# A New Vacuum for LQG (Dittrich Geiller)

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