Virtual Black Holes in a Third Quantized Formalism
arXiv:1707.06405 · doi:10.1016/j.aop.2017.06.020
Abstract
In this paper, we will analyse virtual black holes using the third quantization formalism. As the virtual black hole model depends critically on the assumption that the quantum fluctuations dominate the geometry of spacetime at Planck scale, we will analyse the quantum fluctuations for a black hole using third quantization. We will demonstrate that these quantum fluctuations depend on the factor ordering chosen. So, we will show that only certain values of the factor ordering parameter are consistent with virtual black holes model of spacetime foam.
15pages, no figures, Accepted in Annals of Physics
References in corpus (7)
- Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
- Membranes at Quantum Criticality
- Universality of Quantum Gravity Corrections
- Quantum Black Hole and the Modified Uncertainty Principle
- Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
- Deformation of Second and Third Quantization
- Quantum theory of an accelerating universe