PIRSA:20090002

Quantum Raychaudhuri Equation: Implications for spacetime singularities and the quantum origin of Lambda

Das, S. (2020). Quantum Raychaudhuri Equation: Implications for spacetime singularities and the quantum origin of Lambda. Perimeter Institute. https://pirsa.org/20090002

Das, Saurya. Quantum Raychaudhuri Equation: Implications for spacetime singularities and the quantum origin of Lambda. Perimeter Institute, Sep. 24, 2020, https://pirsa.org/20090002 

          @misc{ pirsa_PIRSA:20090002,
            doi = {10.48660/20090002},
            url = {https://pirsa.org/20090002},
            author = {Das, Saurya},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Quantum Raychaudhuri Equation: Implications for spacetime singularities and the quantum origin of Lambda},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {sep},
            note = {PIRSA:20090002 see, \url{https://pirsa.org}}
          }

Saurya Das

University of Lethbridge

Talk number
PIRSA:20090002
Collection
Talk Type
Subject
Abstract

The Raychaudhuri equation predicts the convergence of geodesics and gives rise to the singularity theorems. The quantum Raychaudhuri equation (QRE), on the other hand, shows that quantal trajectories, the quantum equivalent of the geodesics, do not converge and are not associated with any singularity theorems. Furthermore, the QRE gives rise to the quantum corrected Friedmann equation. The quantum correction is dependent on the wavefunction of the perfect fluid whose pressure and density enter the Friedmann equation. We show that for a suitable choice of the wavefunction this term can be interpreted as a small positive cosmological constant.