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Canonical k-Minkowski Spacetime

Show simple item record Piacitelli, Gherardo en_US Dabrowski, Ludwik en_US 2010-04-30T11:01:46Z en_US 2011-09-07T20:21:02Z 2010-04-30T11:01:46Z en_US 2011-09-07T20:21:02Z 2010-04-30T11:01:46Z en_US
dc.identifier.uri en_US
dc.description.abstract A complete classification of the regular representations of the relations [T,X_j] = (i/k)X_j, j=1,...,d, is given. The quantisation of RxR^d canonically (in the sense of Weyl) associated with the universal representation of the above relations is intrinsically "radial", this meaning that it only involves the time variable and the distance from the origin; angle variables remain classical. The time axis through the origin is a spectral singularity of the model: in the large scale limit it is topologically disjoint from the rest. The symbolic calculus is developed; in particular there is a trace functional on symbols. For suitable choices of states localised very close to the origin, the uncertainties of all spacetime coordinates can be made simultaneously small at wish. On the contrary, uncertainty relations become important at "large" distances: Planck scale effects should be visible at LHC energies, if processes are spread in a region of size 1mm (order of peak nominal beam size) around the origin of spacetime. en_US
dc.format.extent 302332 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries SISSA;26/2010/FM en_US
dc.relation.ispartofseries;1004.5091 en_US
dc.title Canonical k-Minkowski Spacetime en_US
dc.type Preprint en_US
dc.contributor.department Mathematical Physics en_US
dc.contributor.area Mathematics en_US

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