The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Quantum gravity, shadow states and quantum mechanics
Open accessAbstract
A programme was recently initiated to bridge the gap between the Planck scale physics described by loop quantum gravity and the familiar low energy world. We illustrate the conceptual problems and their solutions through a toy model: quantum mechanics of a point particle. The model can also serve as a simple introduction to many of the ideas and constructions underlying quantum geometry. Maxwell fields will be discussed in the second paper of this series which further develops the programme.
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Citations
Cites
Discreteness of area and volume in quantum gravity
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Self-citationQuantization of diffeomorphism invariant theories of connections with local degrees of freedom
Ashtekar, A., Lewandowski, J., Marolf, D., Mourão, J., & Thiemann, T. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531252 · Cited by 528
Self-citationBaez, J. C. (1996) · Advances in Mathematics · doi:10.1006/aima.1996.0012 · Cited by 266
Quantum spin dynamics (QSD): II. The kernel of the Wheeler - DeWitt constraint operator
Thiemann, T. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/4/012 · Cited by 247
A length operator for canonical quantum gravity
Thiemann, T. (1998) · Journal of Mathematical Physics · doi:10.1063/1.532445 · Cited by 156
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Cited by
Background independent quantum gravity: a status report
Ashtekar, A., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/r01 · Cited by 1,951
Self-citationLoop 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-citationQuantum 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-citationMathematical 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
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Metadata
- Authors
- Ashtekar, A., Fairhurst, S., & Willis, J. L.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2003-02-19
- Volume
- 20
- Issue
- 6
- Pages
- 1031-1061
- ISSN
- 0264-9381 (ISSN-L)
- OpenAlex
- W2064209264
- Cited by
- 280
- References
- 6
- FWCI
- 7.01
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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