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arXiv · 1406.0273

Deformation of the Wheeler-DeWitt Equation

Mir Faizal
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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.

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Mir Faizal. 2014-06-02. Deformation of the Wheeler-DeWitt Equation. https://doi.org/10.1142/s0217751x14501061

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