%0 Journal Article %T A computable framework for Loop Quantum Gravity %A Viqar Husain %A Tomasz Pawlowski %J Physics %D 2013 %I arXiv %X We present a non-perturbative quantization of general relativity coupled to dust and other matter fields. The dust provides a natural time variable, leading to a physical Hamiltonian with spatial diffeomorphism symmetry. The methods of loop quantum gravity applied to this model lead to a physical Hilbert space and Hamiltonian. This provides a framework for physical calculations in the theory. %U http://arxiv.org/abs/1305.5203v1