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dc.contributor.authorKent, Adrianen
dc.date.accessioned2018-06-29T13:17:00Z
dc.date.available2018-06-29T13:17:00Z
dc.date.issued2018-09-05en
dc.identifier.issn0264-9381
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/277663
dc.description.abstractIn a model of physics taking place on a discrete set of points that approximates Minkowski space, one might perhaps expect there to be an empirically identifiable preferred frame. However, the work of Dowker et al (2004 Mod. Phys. Lett. A 19 1829-40) and Bombelli et al (2009 Mod. Phys. Lett. A 24 2579-87) might be taken to suggest that random sprinklings of points in Minkowski space define a discrete model that is provably Poincaré invariant in a natural sense. We examine this possibility here. We argue that a genuinely Poincaré invariant model requires a probability distribution on sprinklable sets - Poincaré orbits of sprinklings - rather than individual sprinklings. The corresponding σ-algebra contains only sets of measure zero or one. This makes testing the hypothesis of discrete Poincaré invariance problematic, since any local violation of Poincaré invariance, however gross and large scale, is possible, and cannot be said to be improbable. We also note that the Bombelli et al (2009 Mod. Phys. Lett. A 24 2579-87) argument, which rules out constructions of preferred timelike directions for typical sprinklings, is not sufficient to establish full Lorentz invariance. For example, once a pair of timelike separated points is fixed, a preferred spacelike direction can be defined for a typical sprinkling, breaking the remaining rotational invariance.
dc.publisherIOP Publishing
dc.titleAre there testable discrete Poincaré invariant physical theories?en
dc.typeArticle
prism.number195001en
prism.publicationDate2018en
prism.publicationNameClassical and Quantum Gravityen
prism.volume35en
dc.identifier.doi10.17863/CAM.25001
dcterms.dateAccepted2018-08-08en
rioxxterms.versionofrecord10.1088/1361-6382/aad8cden
rioxxterms.versionAM*
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2018-09-05en
dc.contributor.orcidKent, Adrian [0000-0003-2624-3687]
dc.identifier.eissn1361-6382
rioxxterms.typeJournal Article/Reviewen
cam.issuedOnline2018-08-08en
rioxxterms.freetoread.startdate2019-09-05


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