The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
The quantum structure of spacetime at the Planck scale and quantum fields
Open accessAbstract
We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg's principle and by Einstein's theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations.We outline the definition of free fields and interactions over QST and take the first steps to adapting the usual perturbation theory. The quantum nature of the underlying spacetime replaces a local interaction by a specific nonlocal effective interaction in the ordinary Minkowski space. A detailed study of interacting QFT and of the smoothing of ultraviolet divergences is deferred to a subsequent paper.In the classical limit where the Planck length goes to zero, our Quantum Spacetime reduces to the ordinary Minkowski space times a two component space whose components are homeomorphic to the tangent bundleTS2 of the 2-sphere. The relations with Conne's theory of the standard model will be studied elsewhere.
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Cites
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Quantum gravity and minimum length
Garay, L. J. (1994) · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · Cited by 881
Spacetime quantization induced by classical gravity
Doplicher, S., Fredenhagen, K., & Roberts, J. E. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)90940-7 · Cited by 816
Self-citationConnes, A. (1988) · NATO ASI Series · doi:10.1007/978-1-4613-0729-7_3 · Cited by 717
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Quantum field theory on noncommutative spaces
Szabo, R. (2003) · Physics Reports · doi:10.1016/s0370-1573(03)00059-0 · Cited by 1,650
Spacetime quantization induced by classical gravity
Doplicher, S., Fredenhagen, K., & Roberts, J. E. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)90940-7 · Cited by 816
Self-citationMinimal Length Scale Scenarios for Quantum Gravity
Hossenfelder, S. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-2 · Cited by 706
Atangana, A., & Gómez-Aguilar, J. F. (2018) · The European Physical Journal Plus · doi:10.1140/epjp/i2018-12021-3 · Cited by 425
Bojowald, M. (2015) · Reports on Progress in Physics · doi:10.1088/0034-4885/78/2/023901 · Cited by 174
Metadata
- Authors
- Doplicher, S., Fredenhagen, K., & Roberts, J. E.
- Venue
- Communications in Mathematical Physics
- Published
- 1995-08
- Volume
- 172
- Issue
- 1
- Pages
- 187-220
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2594363316
- Cited by
- 1,353
- References
- 18
- FWCI
- 12.89
- Type
- journal article
- Language
- en
- Open access
- green
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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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