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One of the papers on the 4th quarter MIP poll is one which introduced for the first time a new version of LQG which could be important. It

So in this quantum-reduced loop gravity (QRLG ? ) the bridge from full theory to quantum cosmology is straightforward, one is a direct application of the other. This was not the case with earlier formulations, where LHC was obtained by proceeding from classical cosmology not directly but merely in a LQG manner, so there was parallelism and similarity but no direct connection.

Happily enough, a longer "QRLG" paper has just appeared and was spotted by John86, who added it to the bibliography.

http://arxiv.org/abs/1301.2245

Emanuele Alesci, Francesco Cianfrani

(Submitted on 10 Jan 2013)

We introduce a new framework for loop quantum gravity: mimicking the spinfoam quantization procedure we propose to study the symmetric sectors of the theory imposing the reduction weakly on the full kinematical Hilbert space of the canonical theory. As a first application of Quantum-Reduced Loop Gravity we study the inhomogeneous Bianchi I model. The emerging quantum cosmological model represents a simplified arena on which the complete canonical quantization program can be tested. The achievements of this analysis could elucidate the relationship between Loop Quantum Cosmology and the full theory.

This confirms one's sense that the earlier (October 2012) paper was in fact significant and not just a "flash in the pan".

**directly**gives rise to the corresponding LQC application to cosmology. Because instead of first reducing the classical system (say to Bianchi I, a simple anisotropic setup) and THEN quantizing one does things in reverse order: start with the full LQG kinematic Hilbert space and then reduce.So in this quantum-reduced loop gravity (QRLG ? ) the bridge from full theory to quantum cosmology is straightforward, one is a direct application of the other. This was not the case with earlier formulations, where LHC was obtained by proceeding from classical cosmology not directly but merely in a LQG manner, so there was parallelism and similarity but no direct connection.

Happily enough, a longer "QRLG" paper has just appeared and was spotted by John86, who added it to the bibliography.

http://arxiv.org/abs/1301.2245

**Quantum-Reduced Loop Gravity: Cosmology**Emanuele Alesci, Francesco Cianfrani

(Submitted on 10 Jan 2013)

We introduce a new framework for loop quantum gravity: mimicking the spinfoam quantization procedure we propose to study the symmetric sectors of the theory imposing the reduction weakly on the full kinematical Hilbert space of the canonical theory. As a first application of Quantum-Reduced Loop Gravity we study the inhomogeneous Bianchi I model. The emerging quantum cosmological model represents a simplified arena on which the complete canonical quantization program can be tested. The achievements of this analysis could elucidate the relationship between Loop Quantum Cosmology and the full theory.

This confirms one's sense that the earlier (October 2012) paper was in fact significant and not just a "flash in the pan".

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