32 citations · 32 across the 1 of their papers we have counts for
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Quantum field theory on a cosmological, quantum space-time
Abhay Ashtekar, Wojciech Kaminski, Jerzy Lewandowski
In loop quantum cosmology, Friedmann-LeMaitre-Robertson-Walker (FLRW) space-times arise as well-defined approximations to specific \emph{quantum} geometries. We initiate the develo…
Hamiltonian General Relativity and the Belinskii, Khalatnikov, Lifshitz Conjecture
Abhay Ashtekar, Adam Henderson, David Sloan
The Belinkskii, Khalatnikov and Lifshitz conjecture says that as one approaches space-like singularities in general relativity, 'time derivatives dominate over spatial derivatives'…
Quantum Nature of the Big Bang: Improved dynamics
Abhay Ashtekar, Tomasz Pawlowski, Parampreet Singh
An improved Hamiltonian constraint operator is introduced in loop quantum cosmology. Quantum dynamics of the spatially flat, isotropic model with a massless scalar field is then st…