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

J.-L. Vay
Phys. Rev. Lett. 98, 130405 – Published 30 March 2007
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Abstract

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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  • Received 16 January 2007

DOI:https://doi.org/10.1103/PhysRevLett.98.130405

©2007 American Physical Society

Authors & Affiliations

J.-L. Vay*

  • Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

  • *Electronic address: jlvay@lbl.gov

See Also

Faster Crunching Thanks to Einstein

Mark Buchanan
Phys. Rev. Focus 19, 10 (2007)

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Vol. 98, Iss. 13 — 30 March 2007

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