Classical dynamics on three-dimensional fuzzy space

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dc.contributor.authorScholtz, F. G.en_ZA
dc.date.accessioned2019-10-25T08:20:25Z
dc.date.available2019-10-25T08:20:25Z
dc.date.issued2018
dc.descriptionCITATION: Scholtz, F. G. 2018. Classical dynamics on three-dimensional fuzzy space. Physical Review D, 98(10):104058, doi:10.1103/PhysRevD.98.104058en_ZA
dc.descriptionThe original publication is available at https://journals.aps.org/prden_ZA
dc.description.abstractWe derive the path integral action for a particle moving in three-dimensional fuzzy space. From this we extract the classical equations of motion. These equations have rather surprising and unconventional features: they predict a cutoff in energy, a generally spatial-dependent limiting speed, orbital precession remarkably similar to the general-relativistic result, flat velocity curves below a length scale determined by the limiting velocity and included mass, displaced planar motion, and the existence of two dynamical branches of which only one reduces to Newtonian dynamics in the commutative limit. These features may provide a stringent observational test for this scenario of noncommutativity.en_ZA
dc.description.urihttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.104058
dc.description.versionPublisher's versionen_ZA
dc.format.extent18 pages : illustrations (some colour)en_ZA
dc.identifier.citationScholtz, F. G. 2018. Classical dynamics on three-dimensional fuzzy space. Physical Review D, 98(10):104058, doi:10.1103/PhysRevD.98.104058en_ZA
dc.identifier.issn2470-0029 (online)
dc.identifier.issn2470-0010 (print)
dc.identifier.otherdoi:10.1103/PhysRevD.98.104058
dc.identifier.urihttp://hdl.handle.net/10019.1/106725
dc.language.isoen_ZAen_ZA
dc.publisherAmerican Physical Societyen_ZA
dc.rights.holderAuthor retains copyrighten_ZA
dc.subjectGravitational potentialen_ZA
dc.subjectThree-dimensional fuzzy spaceen_ZA
dc.subjectQuantum mechanicsen_ZA
dc.subjectNewtonian dynamicsen_ZA
dc.titleClassical dynamics on three-dimensional fuzzy spaceen_ZA
dc.typeArticleen_ZA
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