Deformation of Second and Third Quantization

Abstract

In this paper, we will deform the second and third quantized theories by deforming the canonical commutation relations in such a way that they become consistent with the generalized uncertainty principle. Thus, we will first deform the second quantized commutator and obtain a deformed version of the Wheeler-DeWitt equation. Then we will further deform the third quantized theory by deforming the third quantized canonical commutation relation. This way we will obtain a deformed version of the third quantized theory for the multiverse.

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

References in corpus (7)

• Universality of Quantum Gravity Corrections
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• Natural extension of the Generalised Uncertainty Principle
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• Generalized uncertainty principles and quantum field theory
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• Deformation of the Wheeler-DeWitt Equation