I report on recent progress in the computation of gauge-invariant relational observables around highly symmetric backgrounds, to arbitrary orders in perturbative quantum gravity and without introducing extra fields which change the dynamics. I then explain how one can compute quantum gravitational corrections to the Hubble rate (the local expansion rate of the universe) and the Newtonian...
Quantum geometric modifications to general relativistic dynamics have successfully resulted in the resolution of various cosmological singularities in loop quantized models. The polymer nature of gravity in these models dictates the evolution in the Planck regime, replacing big bang by a (swift) big bounce. But studies so far treat matter on an unequal footing by considering it only in the...
In this talk I present an analysis of Bianchi I and Bianchi II universes as solutions to an effective quantum-gravity dynamics. We have found modified Bianchi solutions with different matter fields and studied their dynamics to connect it with the classical BKL conjecture.
Instead of quantizing a classical phase space, the program of quantum mereology takes abstract Hamiltonian operators defined in some Hilbert space as its starting point, and investigates under which conditions such a setting induces semi-classical dynamics. We advance this program by studying the emergence of entire sets of degrees-of-freedom from random Hamiltonians. We show that these...
This talk presents a novel symmetry-reduction approach that preserves local gauge degrees of freedom. We apply this procedure to identify a classical cosmological sector of General Relativity formulated in Ashtekar variables. The quantization follows the techniques of Loop Quantum Gravity and yields spin-network states with remarkable properties, closely resembling those of standard LQC...
