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Mathematical structure of loop quantum cosmology
- A. Ashtekar, M. Bojowald, J. Lewandowski
- Philosophy, Physics
- 21 April 2003
Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big…
Loop Quantum Cosmology
- M. Bojowald
- PhysicsLiving reviews in relativity
- 8 December 2005
Quantum gravity is expected to be necessary in order to understand situations where classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities,…
Absence of a singularity in loop quantum cosmology.
- M. Bojowald
- PhysicsPhysical review letters
- 14 February 2001
TLDR
Loop Quantum Cosmology
- M. Bojowald
- PhysicsLiving reviews in relativity
- 2 July 2008
TLDR
Quantum geometry and the Schwarzschild singularity
- A. Ashtekar, M. Bojowald
- Physics
- 18 September 2005
In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad hoc…
Effective Equations of Motion for Quantum Systems
- M. Bojowald, Aureliano Skirzewski
- Physics
- 11 November 2005
In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subject to a partial differential equation, by effective classical equations which are ordinary…
Quantum Cosmology: A Fundamental Description of the Universe
- M. Bojowald
- Physics
- 15 July 2011
Introduction.- Cosmology and Quantum Theory.- Kinematics: Spatial Atoms.- Dynamics: Changing Atoms of Space-Time.- Effective Equations.- Harmonic Cosmology: The Universe Before the Big Bang and How…
Canonical gravity with fermions
- M. Bojowald, R. Das
- Physics
- 30 October 2007
Canonical gravity in real Ashtekar-Barbero variables is generalized to allow for fermionic matter. The resulting torsion changes several expressions in Holst's original vacuum analysis, which are…
Black hole evaporation: a paradigm
- A. Ashtekar, M. Bojowald
- Physics
- 7 April 2005
A paradigm describing black hole evaporation in non-perturbative quantum gravity is developed by combining two sets of detailed results: (i) resolution of the Schwarzschild singularity using quantum…
Isotropic loop quantum cosmology
- M. Bojowald
- Physics
- 21 February 2002
Isotropic models in loop quantum cosmology allow explicit calculations, thanks largely to a completely known volume spectrum, which is exploited in order to write down the evolution equation in a…
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