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Combinatorial Space from Loop Quantum Gravity [PDF]
Revised version.
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Black Holes in Loop Quantum Gravity: The Complete Space-Time [PDF]
We consider the quantization of the complete extension of the Schwarzschild space-time using spherically symmetric loop quantum gravity. We find an exact solution corresponding to the semi-classical theory. The singularity is eliminated but the space-time still contains a horizon.
Jorge Pullin, Rodolfo Gambini
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Constraining the loop quantum gravity parameter space from phenomenology [PDF]
Development of quantum gravity theories rarely takes inputs from experimental physics. In this letter, we take a small step towards correcting this by establishing a paradigm for incorporating putative quantum corrections, arising from canonical quantum gravity (QG) theories, in deriving \textit{falsifiable} modified dispersion relations (MDRs) for ...
Suddhasattwa Brahma+2 more
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Transition probability spaces in loop quantum gravity [PDF]
We study the (generalized) transition probability spaces, in the sense of Mielnik and Cantoni, for spacetime quantum states in loop quantum gravity. First, we show that loop quantum gravity admits the structures of transition probability spaces. This is exemplified by first checking such structures in covariant quantum mechanics and then identifying ...
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Hilbert space structure of covariant loop quantum gravity [PDF]
20 pages ...
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Knot theory and quantum gravity in loop space: A primer [PDF]
44 pages.
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Effective loop quantum gravity framework for vacuum spherically symmetric spacetimes [PDF]
We develop an effective framework for the $\barμ$ scheme of holonomy corrections motivated by loop quantum gravity for vacuum spherically symmetric space-times. This is done by imposing the areal gauge in the classical theory, and then expressing the remaining components of the Ashtekar-Barbero connection in the Hamiltonian constraint in terms of ...
Jarod George Kelly+2 more
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Abstract Loop quantum gravity (LQG) is a quantization program for gravity based on the principles of QFT and general covariance of general relativity. Quantum states of LQG describe gravitational excitations based on graphs embedded in a spatial slice of spacetime.
Hanno Sahlmann, Waleed Sherif
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The Kantowski-Sachs Space-Time in Loop Quantum Gravity [PDF]
7 pages, latex.
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The Hilbert space of the Chern–Simons theory on a cylinder: a loop quantum gravity approach [PDF]
Minor changes and some references added.
G. Luchini+2 more
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