Numerical loop quantum cosmology

          @misc{ pirsa_PIRSA:17060090,
            doi = {10.48660/17060090},
            url = {https://pirsa.org/17060090},
            author = {Singh, Parampreet},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Numerical loop quantum cosmology},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {jun},
            note = {PIRSA:17060090 see, \url{https://pirsa.org}}
          }
          

Abstract

In the last decade various cosmological spacetimes have been quantized using the techniques of loop quantum gravity. To understand singularity resolution and decipher reliable Planck scale physics, development of new numerical methods and usage of high performance computing is critical in loop quantum cosmology. In recent years, these developments have robustly demonstrated resolution of singularities in quantum spacetimes. These methods have provided detailed understanding of the emergence of new physics at Planck scale, and of classicality when spacetime curvature becomes very small.  Further, they have validated an effective spacetime description of the underlying quantum geometry -- a key ingredient of phenomenological predictions in loop quantum cosmology. These lectures will introduce these numerical methods.