Propagation of Light in Doubly Special Relativity

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dc.creatorKim, Sung Ku
dc.creatorKim, Sun Myong
dc.creatorRim, Chaiho
dc.creatorYee, Jae Hyung
dc.date2004-01-17
dc.date2004-12-07
dc.date.accessioned2026-07-07T03:28:25Z
dc.date.available2026-07-07T03:28:25Z
dc.descriptionIn an attempt to clarify what is the velocity of a particle in doubly special relativity, we solve Maxwell's equations invariant under the position-space nonlinear Lorentz transformation proposed by Kimberly, Magueijo, and Medeiros. We show that only the amplitude of the Maxwell wave, not the phase, is affected by the nonlinearity of the transformation. Thus, although the Maxwell wave appears to have infinitely large energy near the Planck time, the wave velocity is the same as the conventional light velocity. Surprisingly, the velocity of the Maxwell wave is not the same as the maximum signal velocity determined by the null geodesic condition, which is infinitely large near the Planck time and monotonically decreases in time to the conventional light velocity when time approaches infinity. This implies that, depending on the position of the particle in question, the light cone determined by Maxwell's equations may be inside or outside the null cone determined by the null geodesic equation, which may lead to the causality problem.
dc.description11 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/gr-qc/0401078
dc.identifierhttp://arxiv.org/abs/gr-qc/0401078
dc.identifierJ.Korean Phys.Soc. 45 (2004) 1435-1440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34821
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titlePropagation of Light in Doubly Special Relativity
dc.typetext

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