2008

Physical time and other conceptual issues of QG on the example of LQC

Kaminski, Wojciech, Lewandowski, Jerzy, Pawlowski, Tomasz

Understand

Several conceptual aspects of quantum gravity are studied on the example of the homogeneous isotropic LQC model.

In particular: $(i)$ The proper time of the co-moving observers is showed to be a quantum operator {and} a quantum spacetime metric tensor operator is derived.
$(ii)$ Solutions of the quantum scalar constraint for two different choices of the lapse function are compared and contrasted.
In particular it is shown that in case of model with masless scalar field and cosmological constant $\Lambda$ the physical Hilbert spaces constructed for two choices of lapse are the same for $\Lambda<0$ while they are significantly different for $\Lambda>0$.

Built on

D. Marolf, Refined algebraic quantization: Systems with a single constraint, in Symplectic Singularities and Geometry of Gauge Fields Banach Center Publications, Vol. 39
1995
Earlier work this paper cites.
J.D. Brown, K.V. Kuchar, Dust as a Standard of Space and Time in Canonical Quantum Gravity, Phys.Rev. D51
1995
Earlier work this paper cites.
B. Simon, Classical moment problem as a self-adjoint finite difference operator, arXiv: math-ph:9906008
2000
Earlier work this paper cites.
A. Ashtekar, M. Bojowald, J. Lewandowski, Mathematical structure of loop quantum cosmology, Adv.Theo.Math.Phys. 7
2003
Earlier work this paper cites.
M. Bojowald, Loop Quantum Cosmology, Living Rev.Rel. 8
2005
Earlier work this paper cites.
A. Ashtekar, T. Pawłowski and P. Singh, Quantum nature of the big bang, Phys.Rev.Lett. 96
2006
Earlier work this paper cites.
A. Ashtekar, T. Pawłowski and P. Singh, Quantum nature of the big bang: Improved dynamics, Phys.Rev. D74
2006
Earlier work this paper cites.
C. Rovelli, WHAT IS OBSERVABLE IN CLASSICAL AND QUANTUM GRAVITY?, Class.Quant.Grav. 8
2006
Earlier work this paper cites.

Similar

A. Ashtekar, An Introduction to Loop Quantum Gravity Through Cosmology, Nuovo Cim. 122B
2007
Cited alongside, same era.
C. Rovelli, Quantum Gravity
2007
Cited alongside, same era.
B. Bahr and T. Thiemann, Approximating the physical inner product of loop quantum cosmology, Class.Quant.Grav. 24
2007
Cited alongside, same era.
W. Kamiński, J. Lewandowski, Ł. Szulc, The status of Quantum Geometry in the dynamical sector of Loop Quantum Cosmology, (2007), Class.Quant.Grav. 25
2007
Cited alongside, same era.
A. Ashtekar, T. Pawłowski, P. Singh and K. Vandersloot, Loop quantum cosmology of k = 1 k=1 FRW models, Phys.Rev. D75
2007
Cited alongside, same era.
Ł. Szulc, W. Kamiński and J. Lewandowski, Closed FRW model in Loop Quantum Cosmology, Class.Quant.Grav. 24
2007
Cited alongside, same era.
K. Vandersloot, Loop quantum cosmology and the k = − 1 k=-1 RW model, Phys.Rev. D75
2007
Cited alongside, same era.
D. W. Chiou, Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation, Phys.Rev. D75
2007
Cited alongside, same era.
K. Giesel, T. Thiemann, Algebraic Quantum Gravity (AQG) IV. Reduced Phase Space Quantisation of Loop Quantum Gravity, arXiv: 0711.0119
Cited in the paper.
W. Kamiński, J. Lewandowski, T. Pawłowski, The physical states of LQC from the spectral decomposition of the scalar constraint for nonvanishing cosmological constant, in prep
Cited in the paper.
A. Ashtekar , T. Pawłowski, Loop quantum cosmology and the positive cosmological constant, in prep
Cited in the paper.
A. Ashtekar, W. Kamiński, J. Lewandowski, QFT in the expanding quantum spacetime in prep
Cited in the paper.

Then

A. Ashtekar, A. Corichi and P. Singh, Robustness of key features of loop quantum cosmology, Phys. Rev. D 77
2008
Closest in time.
W. Kamiński, J. Lewandowski, The flat FRW model in LQC: the self-adjointness, Class. Quantum Grav. 25
2008
Closest in time.
P. Singh, K. Vandersloot, Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology, Phys.Rev. D72
2008
Closest in time.
M. Artymowski, Z. Lalak, Ł. Szulc, Loop Quantum Cosmology corrections to inflationary models, (2008), arXiv: 0807.0160
2008
Closest in time.
M. Martín-Benito, L. J. Garay and G. A. Mena Marugán, Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantization, Phys.Rev. D78
2008
Closest in time.
M. Campiglia, R. Gambini and J. Pullin, Loop quantization of spherically symmetric midi-superspaces, Class.Quant.Grav. 24
2008
Closest in time.
A. Ashtekar, E. Wilson-Ewing, The covariant entropy bound and loop quantum cosmology (2008), arXiv: 0805.3511
2008
Closest in time.
E. Bentivegna, T. Pawłowski, Anti-deSitter universe dynamics in LQC, Phys.Rev. D77
2008
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…