Oriented matroid theory and loop quantum gravity in (2+2) and eight dimensions

Oriented matroid theory and loop quantum gravity in (2+2) and eight dimensions

dc.contributores-ES
dc.contributoren-US
dc.creatorNieto, J. A.
dc.date2012-03-09
dc.date.accessioned2018-03-16T15:48:56Z
dc.date.available2018-03-16T15:48:56Z
dc.identifierhttp://ojs.unam.mx/index.php/rmf/article/view/30585
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1202676
dc.descriptiones-ES
dc.descriptionWe establish a connection between oriented matroid theory and loop quantum gravity in (2+2) (two time and two space dimensions) and 8-dimensions. We start by observing that supersymmetry implies that the structure constants of the real numbers, complex numbers, quaternions and octonions can be identified with the chirotope concept. This means, among other things, that normed divisions algebras, which are only possible in 1,2, 4 or 8-dimensions, are linked to oriented matroid theory. Therefore, we argue that the possibility for developing loop quantum gravity in 8-dimensions must be taken as important alternative. Moreover, we show that in 4-dimensions, loop quantum gravity theories in the (1+3) or (0+4) signatures are not the only possibilities. In fact, we show that loop quantum gravity associated with the (2+2)-signature may also be an interesting physical structure.en-US
dc.formatapplication/pdf
dc.languagespa
dc.publisherRevista Mexicana de Físicaes-ES
dc.relationhttp://ojs.unam.mx/index.php/rmf/article/view/30585/28414
dc.sourceRevista Mexicana de Física; Vol 57, No 005 (2011)es-ES
dc.subjectes-ES
dc.subjectLoop quantum gravity; eight dimensions; (2+2)-dimensionsen-US
dc.titleOriented matroid theory and loop quantum gravity in (2+2) and eight dimensionses-ES
dc.titleOriented matroid theory and loop quantum gravity in (2+2) and eight dimensionsen-US
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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