English

Deformation of the Wheeler-DeWitt Equation

General Relativity and Quantum Cosmology 2015-06-19 v2

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.

Keywords

Cite

@article{arxiv.1406.0273,
  title  = {Deformation of the Wheeler-DeWitt Equation},
  author = {Mir Faizal},
  journal= {arXiv preprint arXiv:1406.0273},
  year   = {2015}
}

Comments

8 pages, 0 figures, accepted for publication in Int. J. Mod. Phys. A