Noninvariance of Space- and Time-Scale Ranges under a Lorentz Transformation and the Implications for the Study of Relativistic Interactions | Zendy

Jean-Luc Vay | Zendy

Open Access

Noninvariance of Space- and Time-Scale Ranges under a Lorentz Transformation and the Implications for the Study of Relativistic Interactions

Author(s) -

Jean-Luc Vay

Publication year - 2007

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.98.130405

Subject(s) - physics , lorentz transformation , frame of reference , transformation (genetics) , range (aeronautics) , electron , computational physics , spacetime , space (punctuation) , measure (data warehouse) , reference frame , space time , scale (ratio) , classical mechanics , laser , statistical physics , frame (networking) , quantum mechanics , computer science , aerospace engineering , telecommunications , biochemistry , chemistry , database , engineering , gene , operating system , chemical engineering

We present an analysis which shows that the ranges of space and time scales spanned by a system are not invariant under 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, for the following cases: free electron laser, laser-plasma accelerator, and particle beams interacting with electron clouds. The 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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