Quantum geometry

In theoretical physics, quantum geometry is the set of mathematical concepts generalizing the concepts of geometry whose understanding is necessary… (More)
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2012
2012
We propose a formulation of a Lorentzian quantum geometry based on the framework of causal fermion systems. After giving the… (More)
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2008
2008
Quantum Geometry provides microscopic degrees of freedom that account for the black-hole entropy. However, the procedure for… (More)
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2008
2008
We study geometric consistency relations between angles on 3-dimensional (3D) circular quadrilateral lattices — lattices whose… (More)
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2005
2005
Abstract In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to… (More)
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2005
2005
In general relativity the gravitational field is encoded in the Riemannian geometry of space-time. Much of the conceptual… (More)
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Highly Cited
2003
Highly Cited
2003
Applications of Riemannian quantum geometry to cosmology have had notable successes In particular the fundamental discreteness un… (More)
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2002
2002
Some typical quantization ambiguities of quantum geometry are studied within isotropic models. Since this allows explicit… (More)
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1999
1999
The generalized uncertainty principle of string theory is derived in the framework of Quantum Geometry by taking into account the… (More)
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Highly Cited
1997
Highly Cited
1997
A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are… (More)
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Highly Cited
1996
Highly Cited
1996
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum gravity, is used to begin a… (More)
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