Person: Why do you talk about Loop Quantum Gravity so much? Me: Well it explains the formulation based on a projection of the kinematical Hilbert space of the full theory down to a subspace representing the proper arena for an inhomogeneous Bianchi I mode. Person: What the F***?!?!?! I didnt understand that. Me: Let me try again....I study it because it is an attempt to explain the problem of quantization of gravity and its relations to the theory of elementary particles and how the quantization of gravity is challenging because a gravitational field has been seen as non renormalizable by some scientist because of the discrepancies between General Relativity and Quantum Mechanics. It uses a Kinematical Hilbert space for Einstein-Cartan theory which is constructed via von Neumann ideas of infinity-dimensional tensor product of Hilbert spaces. This field of comframe is considered as basic variable what is in contrast with standard euclidean Loop Quantum Gravity which is build by Wilson loops of Ashtekar-Barbero-Immirzi connection. It also uses a quantization scheme is suggested for a spatially inhomogeneous 1+1 Bianchi I model. This scheme consists in the quantization of the equations of motion and gives the operator and quasi-Heisenberg equations describing an explicit evolution of a system. Also with this theory some particular gauge suitable for quantization is proposed. The Wheeler-DeWitt equation is considered in the vicinity of zero scale factor and it is used to construct a space, where the quasi-Heisenberg operators act. I also study it because the Spatial discretization as a UV regularization procedure is suggested for the equations of motion. Person: Herr von Bradford are you a robot? Me: :-I
Posted on: Sun, 20 Apr 2014 06:37:31 +0000
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