Quantum geometry and quantum dynamics at the Planck scale

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

Canonical quantum gravity provides insights into the quantum dynamics as well as quantum geometry of space-time by its implications for constraints. Loop quantum gravity in particular requires specific corrections due to its quantization procedure, which also results in a discrete picture of space. The corresponding changes compared to the classical behavior can most easily be analyzed in isotropic models, but perturbations around them are more involved. For one type of corrections, consistent equations have been found which shed light on the underlying spacetime structure at the Planck scale: not just quantum dynamics but also the concept of space-time manifolds changes in quantum gravity. Effective line elements provide indications for possible relationships to other frameworks, such as non-commutative geometry.

Original languageEnglish (US)
Title of host publicationThe Planck Scale - Proceedings of the XXV Max Born Symposium
Pages62-71
Number of pages10
DOIs
StatePublished - Dec 1 2009
Event25th Max Born Symposium on the Planck Scale - Wroclaw, Poland
Duration: Jun 29 2009Jul 3 2009

Publication series

NameAIP Conference Proceedings
Volume1196
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other25th Max Born Symposium on the Planck Scale
CountryPoland
CityWroclaw
Period6/29/097/3/09

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Bojowald, M. (2009). Quantum geometry and quantum dynamics at the Planck scale. In The Planck Scale - Proceedings of the XXV Max Born Symposium (pp. 62-71). (AIP Conference Proceedings; Vol. 1196). https://doi.org/10.1063/1.3284401