A comment on the paper "Deformed Boost Transformations that saturate at the Planck Scale" by N.B.Bruno,G.Amelino-Camelia, and J.Kowalski-Glikman

dc.creatorGranik, A.
dc.date2001-08-26
dc.date2001-11-11
dc.date.accessioned2026-07-07T05:46:13Z
dc.date.available2026-07-07T05:46:13Z
dc.descriptionAn alternative (simplified) derivation of the dispersion relation and the expressions for the momentum-energy 4-vector $p_i,p_0$ given initially in [1] is provided. It has turned out that in a rather "pedestrian" manner one can obtain in one stroke not only the above relations but also the correct dispersion relation in $ω-k_i$ space, consistent with the value of a velocity of a massless particle. This is achieved by considering the standard Lorentz algebra for $ω-k_i$-space. A non-uniqueness of the choice of the time-derivative in the presence of the finite length scale is discussed. It is shown that such non-uniqueness does not affect the dispersion relation in $ω-k_i$-space. albeit results in different dispersion relations in $p-p_0$-space depending on the choice of the definition of the time derivative.
dc.description9 pages, LaTex
dc.identifierhttps://arxiv.org/abs/physics/0108050
dc.identifierhttp://arxiv.org/abs/physics/0108050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84259
dc.subjectGeneral Physics
dc.titleA comment on the paper "Deformed Boost Transformations that saturate at the Planck Scale" by N.B.Bruno,G.Amelino-Camelia, and J.Kowalski-Glikman
dc.typetext

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