Deformation of Second and Third Quantization

TL;DR

This paper introduces deformations to second and third quantized theories by modifying their canonical commutation relations to align with the generalized uncertainty principle, resulting in new versions of the Wheeler-DeWitt and multiverse theories.

Contribution

It presents a novel approach to deform second and third quantized theories through commutation relation modifications consistent with the generalized uncertainty principle.

Findings

Deformed the second quantized commutator.

Derived a deformed Wheeler-DeWitt equation.

Extended deformation to third quantized theory for the multiverse.

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.