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On Propagation in Loop Quantum Gravity
Universe, 2022 A rigorous implementation of the Wheeler–Dewitt equations was derived in the context of Loop Quantum Gravity (LQG) and was coined Quantum Spin Dynamics (QSD). The Hamiltonian constraint of QSD was criticised as being too local and to prevent “propagation”
Thomas Thiemann, Madhavan Varadarajan
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Matter in Loop Quantum Gravity [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense.
Ghanashyam Date, Golam Mortuza Hossain
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From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity [PDF]
Proceedings of 3rd Quantum Gravity and Quantum Geometry School — PoS(QGQGS 2011), 2013 We present an introduction to the canonical quantization of gravity performed in loop quantum gravity, based on lectures held at the 3rd quantum geometry and quantum gravity school in Zakopane in 2011.
Giesel, Kristina, Sahlmann, Hanno
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Loop quantum gravity’s boundary maps [PDF]
Classical and Quantum Gravity, 2021 Abstract In canonical quantum gravity, the presence of spatial boundaries naturally leads to boundary quantum states, representing quantum boundary conditions for the bulk fields. As a consequence, quantum states of the bulk geometry need to be upgraded to wave-functions valued in the boundary Hilbert space: the bulk becomes quantum ...
Chen, Qian, Livine, Etera R.
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Europhysics News, 2006 We describe the canonical approach to quantum gravity and report on the status of its most advanced implementation, Loop Quantum Gravity (LQG).
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On loop states in loop-quantum gravity [PDF]
Classical and Quantum Gravity, 2007 We explicitly construct and characterize all possible independent loop states in 3+1 dimensional loop quantum gravity by regulating it on a 3-d regular lattice in the Hamiltonian formalism. These loop states, characterized by the (dual) angular momentum quantum numbers, describe SU(2) rigid rotators on the links of the lattice.
Dass, N. D. Hari, Mathur, Manu
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Automorphisms in loop quantum gravity [PDF]
Classical and Quantum Gravity, 2009 57 pages, 7 ...
Bahr, Benjamin, Thiemann, Thomas
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A short review of loop quantum gravity [PDF]
Reports on Progress in Physics, 2021 Abstract An outstanding open issue in our quest for physics beyond Einstein is the unification of general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading approach toward this goal. At its heart is the central lesson of GR: gravity is a manifestation of spacetime geometry.
Abhay Ashtekar, Eugenio Bianchi
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International Journal of Modern Physics D, 2014 This paper presents an "in-a-nutshell" yet self-contained introductory review on loop quantum gravity (LQG) — a background-independent, nonperturbative approach to a consistent quantum theory of gravity. Instead of rigorous and systematic derivations, it aims to provide a general picture of LQG, placing emphasis on the fundamental ideas and their ...
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Quaternion-Loop Quantum Gravity [PDF]
Foundations of Physics, 2009 It is shown that the Riemannian curvature of the 3-dimensional hypersurfaces in space-time, described by the Wilson loop integral, can be represented by a quaternion quantum operator induced by the SU(2) gauge potential, thus providing a justification for quaternion quantum gravity at the Tev energy scale.
Maia, M. D. +2 more
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