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Autor:
Meyer, Franziska1 (AUTHOR) franziska.meyer@soziologie.uni-halle.de, Winkler, Oliver1 (AUTHOR)
Publikováno v:
Social Sciences (2076-0760). Mar2023, Vol. 12 Issue 3, p120. 30p.
Publikováno v:
Class.Quant.Grav.26:245012,2009
We address the "inverse problem" for discrete geometry, which consists in determining whether, given a discrete structure of a type that does not in general imply geometrical information or even a topology, one can associate with it a unique manifold
Externí odkaz:
http://arxiv.org/abs/0905.3492
Publikováno v:
Phys.Rev.D76:084002,2007
We apply a singularity resolution technique utilized in loop quantum gravity to the polymer representation of quantum mechanics on R with the singular -1/|x| potential. On an equispaced lattice, the resulting eigenvalue problem is identical to a fini
Externí odkaz:
http://arxiv.org/abs/0707.0273
Autor:
Husain, Viqar, Winkler, Oliver
Publikováno v:
Phys.Rev.D75:024014,2007
In a metric variable based Hamiltonian quantization, we give a prescription for constructing semiclassical matter-geometry states for homogeneous and isotropic cosmological models. These "collective" states arise as infinite linear combinations of fu
Externí odkaz:
http://arxiv.org/abs/gr-qc/0607097
Autor:
Husain, Viqar, Winkler, Oliver
Publikováno v:
Phys.Rev. D73 (2006) 124007
Using a Hamiltonian formulation of the spherically symmetric gravity-scalar field theory adapted to flat spatial slicing, we give a construction of the reduced Hamiltonian operator. This Hamiltonian, together with the null expansion operators present
Externí odkaz:
http://arxiv.org/abs/gr-qc/0601082
Autor:
Husain, Viqar, Winkler, Oliver
Publikováno v:
Int.J.Mod.Phys. D14 (2005) 2233-2238
Radiating black holes pose a number of puzzles for semiclassical and quantum gravity. These include the transplanckian problem -- the nearly infinite energies of Hawking particles created near the horizon, and the final state of evaporation. A defini
Externí odkaz:
http://arxiv.org/abs/gr-qc/0505153
Autor:
Husain, Viqar, Winkler, Oliver
Publikováno v:
Class.Quant.Grav.22:L135-L142,2005
Using a recently developed quantization of spherically symmetric gravity coupled to a scalar field, we give a construction of null expansion operators that allow a definition of general, fully dynamical quantum black holes. These operators capture th
Externí odkaz:
http://arxiv.org/abs/gr-qc/0412039
Autor:
Husain, Viqar, Winkler, Oliver
Publikováno v:
Class.Quant.Grav.22:L127-L134,2005
We study the classical and quantum theory of spherically symmetric spacetimes with scalar field coupling in general relativity. We utilise the canonical formalism of geometrodynamics adapted to the Painleve-Gullstrand coordinates, and present a new q
Externí odkaz:
http://arxiv.org/abs/gr-qc/0410125