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Loop quantum cosmology and slow roll inflation
Abhay Ashtekar, David Sloan
In loop quantum cosmology (LQC) the big bang is replaced by a quantum bounce which is followed by a robust phase of super-inflation. Rather than growing unboundedly in the past, th…
Loop quantum cosmology of Bianchi type II models
Abhay Ashtekar, Edward Wilson-Ewing
The improved dynamics of loop quantum cosmology is extended to include the Bianchi type II model. Because these space-times admit both anisotropies and non-zero spatial curvature,…
Loop Quantum Cosmology and Spin Foams
Abhay Ashtekar, Miguel Campiglia, Adam Henderson
Loop quantum cosmology (LQC) is used to provide concrete evidence in support of the general paradigm underlying spin foam models (SFMs). Specifically, it is shown that: i) the phys…
Some surprising implications of background independence in canonical quantum gravity
Abhay Ashtekar
There is a precise sense in which the requirement of background independence suffices to uniquely select the kinematics of loop quantum gravity (LQG). Specifically, the fundamental…
Loop quantum cosmology of Bianchi I models
Abhay Ashtekar, Edward Wilson-Ewing
The "improved dynamics" of loop quantum cosmology is extended to include anisotropies of the Bianchi I model. As in the isotropic case, a massless scalar field serves as a relation…
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…