Measuring a Kaluza-Klein radius smaller than the Planck length

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dc.creatorReifler, Frank
dc.creatorMorris, Randall
dc.date2007-08-03
dc.date.accessioned2026-07-07T11:28:39Z
dc.date.available2026-07-07T11:28:39Z
dc.descriptionHestenes has shown that a bispinor field on a Minkowski space-time is equivalent to an orthonormal tetrad of one-forms together with a complex scalar field. More recently, the Dirac and Einstein equations were unified in a tetrad formulation of a Kaluza-Klein model which gives precisely the usual Dirac-Einstein Lagrangian. In this model, Dirac's bispinor equation is obtained in the limit for which the radius of higher compact dimensions of the Kaluza-Klein manifold becomes vanishingly small compared with the Planck length. For a small but finite radius, the Kaluza-Klein model predicts velocity splitting of single fermion wave packets. That is, the model predicts a single fermion wave packet will split into two wave packets with slightly different group velocities. Observation of such wave packet splits would determine the size of the Kaluza-Klein radius. If wave packet splits were not observed in experiments with currently achievable accuracies, the Kaluza-Klein radius would be at least twenty five orders of magnitude smaller than the Planck length.
dc.identifierhttps://arxiv.org/abs/0708.0521
dc.identifierhttp://arxiv.org/abs/0708.0521
dc.identifierPhys.Rev.D67:064006,2003
dc.identifierdoi:10.1103/PhysRevD.67.064006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196462
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectQuantum Physics
dc.titleMeasuring a Kaluza-Klein radius smaller than the Planck length
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