Deformation of the Wheeler-DeWitt Equation
arXiv:1406.0273 · doi:10.1142/S0217751X14501061
Abstract
In this paper, we will analyse the consequences of deforming the canonical commutation relations consistent with the existence of a minimum length and a maximum momentum. We first generalize the deformation of first quantized canonical commutation relation to second quantized canonical commutation relation. Thus, we arrive at a modified version of second quantization. A modified Wheeler-DeWitt equation will be constructed by using this deformed second quantized canonical commutation relation. Finally, we demonstrate that in this modified theory the big bang singularity gets naturally avoided.
8 pages, 0 figures, accepted for publication in Int. J. Mod. Phys. A
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