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There is good evidence that full general relativity is non-integrable or even chaotic.
B. Dittrich, “Partial and complete observables for Hamiltonian constrained systems,” Gen.Rel.Grav
1927
Earlier work this paper cites.
P. A. Dirac, “The theory of gravitation in Hamiltonian form,” Proc.Roy.Soc.Lond
1958
Earlier work this paper cites.
Wiley, 1962
R. L. Arnowitt, S. Deser, and C. W. Misner, “The Dynamics of General Relativity,” in Gravitation: An Introduction to Current Research · 1962
Earlier work this paper cites.
Yeshiva University Press, 1964
P. A. Dirac, Lectures on Quantum Mechanics · 1964
Earlier work this paper cites.
C. W. Misner, “Mixmaster universe,” Phys. Rev. Lett
1969
Earlier work this paper cites.
V. Belinsky, I. Khalatnikov, and E. Lifshitz, “Oscillatory approach to a singular point in the relativistic cosmology,” Adv.Phys
1970
Earlier work this paper cites.
M. C. Gutzwiller, “Periodic orbits and classical quantization conditions,” Journal of Mathematical Physics
1971
Earlier work this paper cites.
North Holland, Amsterdam, 1983
M. Berry, “Semiclassical mechanics of regular and irregular motion,” in Chaotic Behaviour of Deterministic Systems, Les Houches Summer School, 1981 · 1983
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, “Hamiltonian treatment of asymptotically anti-de Sitter spaces,” Phys. Lett
1984
Earlier work this paper cites.
D. N. Page, “A fractal set of perpetually bouncing universes?,” Class.Quant.Grav
1984
Earlier work this paper cites.
North Holland, Amsterdam, 1984
C. Isham, “Topological and global aspects of quantum theory,” in Relativity, Groups and Topology II, Les Houches Summer School, 1983 · 1984
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, “Asymptotically anti-De Sitter Spaces,” Commun. Math. Phys
1985
Earlier work this paper cites.
C. Kiefer, “Wave packets in minisuperspace,” Phys.Rev
1988
Earlier work this paper cites.
P. Hájíček, “Topology of parametrized systems,” J.Math.Phys
1989
Earlier work this paper cites.
W. G. Unruh and R. M. Wald, “Time and the Interpretation of Canonical Quantum Gravity,” Phys. Rev
1989
Earlier work this paper cites.
C. Rovelli, “Quantum mechanics without time: a model,” Phys.Rev
1990
Earlier work this paper cites.
M. Schön and P. Hájíček, “Topology of quadratic superhamiltonians,” Class.Quant.Grav
1990
Earlier work this paper cites.
P. Hájíček, “Dirac quantization of systems with quadratic constraints,” Class.Quant.Grav
1990
Earlier work this paper cites.
Interdisciplinary Applied Mathematics. Springer-Verlag, New York, 1990
M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics · 1990
Earlier work this paper cites.
J. J. Halliwell and J. B. Hartle, “Wave functions constructed from an invariant sum over histories satisfy constraints,” Phys.Rev
1991
Earlier work this paper cites.
Birkhauser, 1991
C. Rovelli, “Is there incompatibility between the ways time is treated in General Relativity and in standard quantum mechanics?,” in Conceptual Problems of Quantum Gravity, Proc. Osgood Hill Conf. Boston · 1991
Earlier work this paper cites.
C. Rovelli, “Time in quantum gravity: Physics beyond the Schrödinger regime,” Phys.Rev
1991
Earlier work this paper cites.
C. Rovelli, “What is observable in classical and quantum gravity?,” Class.Quant.Grav
1991
Earlier work this paper cites.
C. Rovelli, “Quantum reference systems,” Class.Quant.Grav
1991
Earlier work this paper cites.
Princeton University Press, 1992
M. Henneaux and C. Teitelboim, Quantization of Gauge Systems · 1992
Earlier work this paper cites.
K. Kuchař, “Time and interpretations of quantum gravity,” Int.J.Mod.Phys.Proc.Suppl
1992
Earlier work this paper cites.
C. G. Torre, “Is general relativity an ’already parametrized’ theory?,” Phys. Rev
1992
Earlier work this paper cites.
Institute of Physics, 1992
K. V. Kuchař, “Canonical quantum gravity,” in Proc. 13th Intern. Conf. on General Relativity and Gravitation · 1992
Earlier work this paper cites.
C. Torre, “Gravitational observables and local symmetries,” Phys.Rev
1993
Earlier work this paper cites.
Kluwer Academic Publishers, 1993
C. Isham, “Canonical quantum gravity and the problem of time,” in Integrable Systems, Quantum Groups, and Quantum Field Theories · 1993
Earlier work this paper cites.
C. G. Torre and I. M. Anderson, “Symmetries of the Einstein equations,” Phys. Rev. Lett
1993
Earlier work this paper cites.
Cambridge University Press, 1994
E. Ott, Chaos in Dynamical Systems · 1994
Earlier work this paper cites.
A. Ashtekar and R. S. Tate, “An Algebraic extension of Dirac quantization: Examples,” J. Math. Phys
1994
Earlier work this paper cites.
B. C. Hall, “The segal-bargmann” coherent state” transform for compact lie groups,” Journal of functional analysis
1994
Earlier work this paper cites.
Springer–Verlag, 1994
P. Hájíček, “Quantization of systems with constraints,” in Canonical Gravity: From Classical to Quantum · 1994
Cited alongside, same era.
P. Hájíček, “Group quantization of parametrized systems. I. Time levels,” J.Math.Phys
1995
Cited alongside, same era.
J. D. Brown and K. V. Kuchař, “Dust as a standard of space and time in canonical quantum gravity,” Phys.Rev
1995
Cited alongside, same era.
D. Marolf, “Almost ideal clocks in quantum cosmology: A brief derivation of time,” Class.Quant.Grav
1995
Cited alongside, same era.
J. Pollet, O. Méplan, and C. Gignoux, “Elliptic eigenstates for the quantum harmonic oscillator,” J.Phys.A:Math.Gen
1995
Cited alongside, same era.
P. Hájíček, “Time evolution and observables in constrained systems,” Class.Quant.Grav
B. Dittrich and J. Tambornino, “Gauge invariant perturbations around symmetry reduced sectors of general relativity: Applications to cosmology,” Class.Quant.Grav
2007
Later among the works it cites.
2007
Later among the works it cites.
Springer Science & Business Media, 2007
V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt, Mathematical aspects of classical and celestial mechanics · 2007
Later among the works it cites.
T. Jacobson, “Einstein-aether gravity: A Status report,” PoS
2007
Later among the works it cites.
M. Bojowald, “Loop Quantum Cosmology,” Living Rev.Rel
2008
Later among the works it cites.
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1996
Cited alongside, same era.
I. M. Anderson and C. G. Torre, “Asymptotic conservation laws in field theory,” Phys. Rev. Lett
1996
Cited alongside, same era.
I. M. Anderson and C. G. Torre, “Classification of generalized symmetries for the vacuum Einstein equations,” Commun. Math. Phys
1996
Cited alongside, same era.
P. Hájíček, “Time evolution of observable properties of reparametrized invariant systems,” Nucl.Phys.Proc.Suppl
1997
Cited alongside, same era.
Cambridge University Press, 1997
J. Wainwright and G. Ellis, eds., Dynamical Systems in Cosmology · 1997
Cited alongside, same era.
N. J. Cornish and J. J. Levin, “The Mixmaster universe is chaotic,” Phys. Rev. Lett
1997
Cited alongside, same era.
N. J. Cornish and J. J. Levin, “The Mixmaster universe: A Chaotic Farey tale,” Phys. Rev
1997
Cited alongside, same era.
2009
Later among the works it cites.
2009
Later among the works it cites.
B. Dittrich, “Diffeomorphism symmetry in quantum gravity models,” Adv.Sci.Lett
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
P. Horava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev
2009
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
Cambridge University Press, 2010
M. Bojowald, Canonical Gravity and Applications: Cosmology, Black Holes and Quantum Gravity · 2010
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
A. Ashtekar and P. Singh, “Loop Quantum Cosmology: A status report,” Class.Quant.Grav
2011
Later among the works it cites.
V. Husain and T. Pawlowski, “Dust reference frame in quantum cosmology,” Class.Quant.Grav
2011
Later among the works it cites.
2011
Later among the works it cites.
W. Donnelly and T. Jacobson, “Hamiltonian structure of Horava gravity,” Phys. Rev
2011
Later among the works it cites.
E. Anderson, “Problem of Time in Quantum Gravity,” Annalen Phys
2012
Later among the works it cites.
J. Tambornino, “Relational observables in gravity: A review,” SIGMA
2012
Later among the works it cites.
2012
Later among the works it cites.
P. A. Höhn, “Effective relational dynamics,” J. Phys. Conf. Ser
2012
Later among the works it cites.
V. Husain and T. Pawlowski, “Time and a physical Hamiltonian for quantum gravity,” Phys. Rev. Lett
2012
Later among the works it cites.
2012
Later among the works it cites.
H. M. Haggard, “Pentahedral volume, chaos, and quantum gravity,” Phys.Rev
2013
Later among the works it cites.
E. Anderson, “Beables/Observables in Classical and Quantum Gravity,” SIGMA
2014
Later among the works it cites.
2014
Later among the works it cites.
F. Mercati, “A Shape Dynamics Tutorial,” to appear in Oxford University Press
2014
Later among the works it cites.
B. Dittrich and M. Geiller, “A new vacuum for Loop Quantum Gravity,” Class. Quant. Grav
2015
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T. Thiemann, “Gauge field theory coherent states (GCS): 1. General properties,” Class. Quant. Grav
2064
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