On the non-invariance of space and time scale ranges under Lorentztransformation, and its implications for the study of relativisticinteractions

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We present an analysis which shows that the ranges of space and time scales spanned by a system are not invariant under the Lorentz transformation. This implies the existence of a frame of reference which minimizes an aggregate measure of the range of space and time scales. Such a frame is derived for example cases: free electron laser, laser-plasma accelerator, and particle beam interacting with electron clouds. Implications for experimental, theoretical and numerical studies are discussed. The most immediate relevance is the reduction by orders of magnitude in computer simulation run times for such systems.

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Vay, J.-L. January 16, 2007.

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Description

We present an analysis which shows that the ranges of space and time scales spanned by a system are not invariant under the Lorentz transformation. This implies the existence of a frame of reference which minimizes an aggregate measure of the range of space and time scales. Such a frame is derived for example cases: free electron laser, laser-plasma accelerator, and particle beam interacting with electron clouds. Implications for experimental, theoretical and numerical studies are discussed. The most immediate relevance is the reduction by orders of magnitude in computer simulation run times for such systems.

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  • Journal Name: Physical Review of Letters; Journal Volume: 98; Related Information: Journal Publication Date: 2007

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  • Report No.: LBNL--62321
  • Report No.: HIFAN 1563
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 927248
  • Archival Resource Key: ark:/67531/metadc896556

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  • January 16, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 30, 2016, 12:26 p.m.

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Vay, J.-L. On the non-invariance of space and time scale ranges under Lorentztransformation, and its implications for the study of relativisticinteractions, article, January 16, 2007; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc896556/: accessed September 26, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.