Waves on Noncommutative Spacetimes

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dc.creatorBalachandran, A. P.
dc.creatorGupta, Kumar S.
dc.creatorKurkcuoglu, S.
dc.date2005-03-10
dc.date2005-09-28
dc.date.accessioned2026-07-07T06:26:03Z
dc.date.available2026-07-07T06:26:03Z
dc.descriptionWaves on ``commutative'' spacetimes like R^d are elements of the commutative algebra C^0(R^d) of functions on R^d. When C^0(R^d) is deformed to a noncommutative algebra {\cal A}_θ(R^d) with deformation parameter θ({\cal A}_0 (R^d) = C^0(R^d)), waves being its elements, are no longer complex-valued functions on R^d. Rules for their interpretation, such as measurement of their intensity, and energy, thus need to be stated. We address this task here. We then apply the rules to interference and diffraction for d \leq 4 and with time-space noncommutativity. Novel phenomena are encountered. Thus when the time of observation T is so brief that T \leq 2 θw, where w is the frequency of incident waves, no interference can be observed. For larger times, the interference pattern is deformed and depends on \frac{θw}{T}. It approaches the commutative pattern only when \frac{θw}{T} goes to 0. As an application, we discuss interference of star light due to cosmic strings.
dc.description19 pages, 5 figures, LaTeX, added references, corrected typos
dc.identifierhttps://arxiv.org/abs/hep-th/0503087
dc.identifierhttp://arxiv.org/abs/hep-th/0503087
dc.identifierPhys.Rev. D73 (2006) 025021
dc.identifierdoi:10.1103/PhysRevD.73.025021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96999
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectQuantum Physics
dc.titleWaves on Noncommutative Spacetimes
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