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Quantum gravity may remove classical space-time singularities and thus reveal what a universe at and before the big bang could be like.
The Isotropy of the Universe,
C. W. Misner, · 1968
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A philosophy for big-bang cosmology,
W. H. Mccrea, · 1970
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Formule de trace en geometrie non commutative et hypothese de Riemann,
A. Connes, · 1996
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H = x p H=xp and the Riemann zeros, In Supersymmetry and Trace Formulae: Chaos and Disorder
M. V. Berry and J. P. Keating, · 1999
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Mathematical structure of loop quantum cosmology,
A. Ashtekar, M. Bojowald, and J. Lewandowski, · 2003
Earlier work this paper cites.
Loop Quantum Cosmology,
M. Bojowald, · 2005
Earlier work this paper cites.
Effective Equations of Motion for Quantum Systems,
M. Bojowald and A. Skirzewski, · 2006
Cited alongside, same era.
Loop quantum cosmology and inhomogeneities,
M. Bojowald, · 2006
Cited alongside, same era.
Quantum Nature of the Big Bang: Improved dynamics,
A. Ashtekar, T. Pawlowski, and P. Singh, · 2006
Cited alongside, same era.
What happened before the big bang?,
M. Bojowald, · 2007
Cited alongside, same era.
Quantum Gravity and Higher Curvature Actions,
M. Bojowald and A. Skirzewski, · 2007
Cited alongside, same era.
Lattice Refining LQC and the Matter Hamiltonian, [arXiv:0707.0588]
W. Nelson and M. Sakellariadou,
Cited in the paper.
Lattice refining loop quantum cosmology, anisotropic models and stability,
M. Bojowald, D. Cartin, and G. Khanna, · 2007
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Lattice Refining Loop Quantum Cosmology and Inflation,
W. Nelson and M. Sakellariadou, · 2007
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Cosmological vector modes and quantum gravity effects,
M. Bojowald and G. Hossain, · 2007
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Dynamical coherent states and physical solutions of quantum cosmological bounces,
M. Bojowald, · 2007
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Large scale effective theory for cosmological bounces,
M. Bojowald, · 2007
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M. Bojowald and G. Hossain,
Cited in the paper.
A. Ashtekar, A. Corichi and P. Singh, private communication as well as talks
Cited in the paper.