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Canonical quantization is often used to suggest new effects in quantum gravity, in the dynamics as well as the structure of space-time.
The Dynamics of General Relativity, In L. Witten, editor, Gravitation: An Introduction to Current Research
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D. C. Salisbury and K. Sundermeyer, · 1983
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C. Rovelli and L. Smolin, · 1990
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Quantization of Diffeomorphism Invariant Theories of Connections with Local Degrees of Freedom,
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão, and T. Thiemann, · 1995
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Anomaly-Free Formulation of Non-Perturbative, Four-Dimensional Lorentzian Quantum Gravity,
T. Thiemann, · 1996
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Gauge transformations in the Lagrangian and Hamiltonian formalisms of generally covariant theories,
J. M. Pons, D. C. Salisbury, and L. C. Shepley, · 1997
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Quantum Spin Dynamics (QSD),
T. Thiemann, · 1998
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Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories,
T. Thiemann, · 1998
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Symmetry Reduction for Quantized Diffeomorphism Invariant Theories of Connections,
M. Bojowald and H. A. Kastrup, · 2000
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Spherically Symmetric Quantum Geometry: States and Basic Operators,
M. Bojowald, · 2004
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Black hole evaporation: A paradigm,
A. Ashtekar and M. Bojowald, · 2005
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Spherically Symmetric Quantum Geometry: Hamiltonian Constraint,
M. Bojowald and R. Swiderski, · 2006
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Quantum Geometry and the Schwarzschild Singularity,
A. Ashtekar and M. Bojowald, · 2006
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Anomaly freedom in perturbative loop quantum gravity,
M. Bojowald, G. Hossain, M. Kagan, and S. Shankaranarayanan, · 2008
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Spherically Symmetric Loop Quantum Gravity: Connections to 2-Dimensional Models and Applications to Gravitational Collapse
J. D. Reyes, · 2009
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Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity,
M. Bojowald, J. D. Reyes, and R. Tibrewala, · 2009
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Anomaly-free perturbations with inverse-volume and holonomy corrections in Loop Quantum Cosmology,
T. Cailleteau, L. Linsefors, and A. Barrau, · 2014
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Discreteness corrections and higher spatial derivatives in effective canonical quantum gravity,
M. Bojowald, G. M. Paily, and J. D. Reyes, · 2014
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Signature change in loop quantum cosmology,
J. Mielczarek, · 2014
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Information loss, made worse by quantum gravity,
M. Bojowald, · 2015
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Covariance in models of loop quantum gravity: Spherical symmetry,
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M. Bojowald, G. Hossain, M. Kagan, and S. Shankaranarayanan, · 2009
Cited alongside, same era.
Canonical Gravity and Applications: Cosmology, Black Holes, and Quantum Gravity
M. Bojowald, · 2010
Cited alongside, same era.
Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology,
T. Cailleteau, J. Mielczarek, A. Barrau, and J. Grain, · 2012
Cited alongside, same era.
Modified general relativity as a model for quantum gravitational collapse,
A. Kreienbuehl, V. Husain, and S. S. Seahra, · 2012
Cited alongside, same era.
Deformed General Relativity and Effective Actions from Loop Quantum Gravity,
M. Bojowald and G. M. Paily, · 2012
Cited alongside, same era.
Loop quantization of the Schwarzschild black hole,
R. Gambini and J. Pullin, · 2013
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The tangent analogues of the Chebyshev polynomials,
J. S. Calcut,
Cited in the paper.
M. Bojowald, S. Brahma, and J. D. Reyes, · 2015
Later among the works it cites.
Covariance in models of loop quantum gravity: Gowdy systems,
M. Bojowald and S. Brahma, · 2015
Later among the works it cites.
Hypersurface-deformation algebroids and effective space-time models,
M. Bojowald, S. Brahma, U. Büyükçam, and F. D’Ambrosio, · 2016
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New Hamiltonians for loop quantum cosmology with arbitrary spin representations,
J. Ben Achour, S. Brahma and M. Geiller, · 2017
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Polymer Schwarzschild black hole: an effective metric,
J. Ben Achour, F. Lamy, H. Liu, and K. Noui, · 2018
Closest in time.
The Dynamics of General Relativity,
R. Arnowitt, S. Deser, and C. W. Misner, · 2027
Closest in time.