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Living Reviews in Relativity, 2008 The problem of describing the quantum behavior of gravity, and thus understanding quantum spacetime, is still open. Loop quantum gravity is a well-developed approach to this problem. It is a mathematically well-defined background-independent quantization
Rovelli Carlo
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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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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 ...
Qian Chen, Etera R Livine
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Perturbatively exact w 1+∞ asymptotic symmetry of quantum self-dual gravity
Journal of High Energy Physics, 2022 The infinite tower of positive-helicity soft gravitons in any minimally coupled, tree-level, asymptotically flat four-dimensional (4D) gravity was recently shown to generate a w 1+∞ asymptotic symmetry algebra. It is natural to ask whether this classical
Adam Ball +3 more
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Does the Loop Quantum μo Scheme Permit Black Hole Formation?
Universe, 2021 We explore the way different loop quantization prescriptions affect the formation of trapped surfaces in the gravitational collapse of a homogeneous dust cloud, with particular emphasis on the so-called μo scheme in which loop quantum cosmology was ...
Bao-Fei Li, Parampreet Singh
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Extended loop quantum gravity [PDF]
Classical and Quantum Gravity, 2010 We discuss constraint structure of extended theories of gravitation (also known as f(R) theories) in the vacuum selfdual formulation introduced in ref. [1].
FATIBENE, Lorenzo +2 more
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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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Loop Quantum Black Hole Extensions Within the Improved Dynamics
Frontiers in Astronomy and Space Sciences, 2021 We continue our investigation of an improved quantization scheme for spherically symmetric loop quantum gravity. We find that in the region where the black hole singularity appears in the classical theory, the quantum theory contains semi-classical ...
Rodolfo Gambini +2 more
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Loop-Quantum-Gravity Vertex Amplitude [PDF]
Physical Review Letters, 2007 Spinfoam theories are hoped to provide the dynamics of non-perturbative loop quantum gravity. But a number of their features remain elusive. The best studied one -the euclidean Barrett-Crane model- does not have the boundary state space needed for this, and there are recent indications that, consequently, it may fail to yield the correct low-energy $n$-
Engle, Jonathan +2 more
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XIVth International Congress on Mathematical Physics, 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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