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

机译：洛仑兹变换下空间和时间尺度范围的非方差性及其对相对论系统数值研究的启示

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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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作者
Vay, J. L.;
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年度 2008
页码 p.1-11
总页数 11
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Lorentz transformations; Relativity theory; Computerized simulation; Clouds; Electrons; Free electron lasers; Particle beams; Accelerators;

机译：洛伦兹变换;相对论;计算机模拟;云;电子;自由电子激光;粒子束;加速器;

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专利

1. Noninvariance of Space- and Time-Scale Ranges under a Lorentz Transformation and the Implications for the Study of Relativistic Interactions [J] . J.-L. Vay Physical review letters . 2007,第13期

机译：Lorentz变换下的时空尺度范围的不变性及其对相对论相互作用研究的启示
2. Properties of few-body systems in relativistic quantum mechanics and constraints from transformations under Poincare space-time translations [J] . Desplanques B Nuclear Physics, A: Journal Devoted to the Experimental Study of the Fundamental Constituents of Matter and Their Actions . 2007,第0期

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3. The non-Lorentz transformation corresponding to the symmetry of inertial systems and a possible way to the quantization of time-space [J] . Jinwen Hu Physics essays . 2017,第3期

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4. RELATIVISTIC TRANSFORMATIONS FOR TIME SYNCHRONIZATION AND DISSEMINATION IN THE SOLAR SYSTEM [C] . Robert A. Nelson, Todd A. Ely Annual Precise Time and Time Interval Systems and Applications Meeting . 2007

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5. Time-space transformations of geographic space, for exploring, analyzing and visualizing transportation systems. [D] . Ahmed, Nobbir. 2005

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6. NONLINEAR SPACE-TIME TRANSFORMATIONS RELATED TO THE LORENTZ GROUP [O] . M. Dresden, A. Albano 1967

机译：与洛伦茨群有关的非线性时空变换
7. Noninvariance of space/time-scale ranges under a Lorentztransformation and the implications for the study of relativisticinteractions [O] . Vay, Jean-Luc 2007

机译：Lorentz变换下空间/时间尺度范围的非方差性及其对相对论相互作用研究的意义

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

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