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Mathematical structure of loop quantum cosmology
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
  • Physics
    Living 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
  • Physics
    Physical review letters
  • 14 February 2001
TLDR
It is shown that the cosmological singularity in isotropic minisuperspaces is naturally removed by quantum geometry and the correct semiclassical behavior is obtained.
Loop Quantum Cosmology
  • M. Bojowald
  • Physics
    Living reviews in relativity
  • 2 July 2008
TLDR
L loop quantum cosmology is an application of loop quantum gravity to homogeneous systems, which removes classical singularities and introduces the main effects of quantum effects into effective classical equations, which allow one to avoid the interpretational problems of quantum theory.
Quantum geometry and the Schwarzschild singularity
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
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
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
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 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
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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