The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Loop quantum cosmology ofk=1FRW models
Open accessAbstract
The closed, $k=1$, FRW model coupled to a massless scalar field is investigated in the framework of loop quantum cosmology using analytical and numerical methods. As in the $k=0$ case, the scalar field can be again used as emergent time to construct the physical Hilbert space and introduce Dirac observables. The resulting framework is then used to address a major challenge of quantum cosmology: resolving the big-bang singularity while retaining agreement with general relativity at large scales. It is shown that the framework fulfills this task. In particular, for states which are semiclassical at some late time, the big bang is replaced by a quantum bounce and a recollapse occurs at the value of the scale factor predicted by classical general relativity. Thus, the ``difficulties'' pointed out by Green and Unruh in the $k=1$ case do not arise in a more systematic treatment. As in $k=0$ models, quantum dynamics is deterministic across the deep Planck regime. However, because it also retains the classical recollapse, in contrast to the $k=0$ case one is now led to a cyclic model. Finally, we clarify some issues raised by Laguna's recent work addressed to computational physicists.
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Cites
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Quantum nature of the big bang: Improved dynamics
Ashtekar, A., Pawlowski, T., & Singh, P. (2006) · Physical Review D · doi:10.1103/physrevd.74.084003 · Cited by 1,147
Self-citationLectures on Non-Perturbative Canonical Gravity
Ashtekar, A. (1991) · Advanced Series in Astrophysics and Cosmology · doi:10.1142/1321 · Cited by 872
Self-citationAbsence of a Singularity in Loop Quantum Cosmology
Bojowald, M. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5227 · Cited by 769
Mathematical structure of loop quantum cosmology
Ashtekar, A., Bojowald, M., & Lewandowski, J. (2003) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2003.v7.n2.a2 · Cited by 762
Self-citationQuantum nature of the big bang: An analytical and numerical investigation
Ashtekar, A., Pawlowski, T., & Singh, P. (2006) · Physical Review D · doi:10.1103/physrevd.73.124038 · Cited by 609
Self-citationEFFECTIVE EQUATIONS OF MOTION FOR QUANTUM SYSTEMS
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Graviton propagator in loop quantum gravity
Bianchi, E., Modesto, L., Rovelli, C., & Speziale, S. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/23/024 · Cited by 163
Quantum observables and recollapsing dynamics
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Regularization ambiguities in loop quantum gravity
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Cited by
Loop quantum cosmology: a status report
Ashtekar, A., & Singh, P. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/21/213001 · Cited by 1,205
Self-citationMinimal Length Scale Scenarios for Quantum Gravity
Hossenfelder, S. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-2 · Cited by 706
New spinfoam vertex for quantum gravity
Livine, E. R., & Speziale, S. (2007) · Physical Review D · doi:10.1103/physrevd.76.084028 · Cited by 401
Loop quantum cosmology of Bianchi type I models
Ashtekar, A., & Wilson-Ewing, E. (2009) · Physical Review D · doi:10.1103/physrevd.79.083535 · Cited by 295
Self-citationSemiclassical limit of 4-dimensional spin foam models
Conrady, F., & Freidel, L. (2008) · Physical Review D · doi:10.1103/physrevd.78.104023 · Cited by 213
Metadata
- Authors
- Ashtekar, A., Pawlowski, T., Singh, P., & Vandersloot, K.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-01-26
- Volume
- 75
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2168462986
- Cited by
- 337
- References
- 11
- FWCI
- 24.95
- Type
- journal article
- Language
- en
- Open access
- green
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