V2EX lorentzian

Lorentzian

释义 Definition

Lorentzian(洛伦兹的;洛伦兹型的):指与洛伦兹变换狭义相对论闵可夫斯基时空相关的概念。数学与物理中常见的用法是指洛伦兹度量/洛伦兹流形(一种带有“时间-空间”符号差异的度量,常写作签名类似 \(-,+,+,+\)),也常指洛伦兹线型/洛伦兹分布(谱线展宽的一种典型形状)。该词在不同领域略有侧重。

发音 Pronunciation (IPA)

/lrn(t)sin/

例句 Examples

The spacetime in special relativity has a Lorentzian metric.
狭义相对论中的时空具有洛伦兹度量。

On a Lorentzian manifold, the distinction between timelike and spacelike directions shapes how signals and causality behave.
在洛伦兹流形上,类时与类空方向的区分会决定信号传播与因果关系如何成立。

词源 Etymology

Lorentzian 来自荷兰物理学家 Hendrik A. Lorentz(亨德里克洛伦兹) 的姓 Lorentz,加上形容词后缀 -ian(表示“……的/与……有关的”)。之所以以他命名,主要因为洛伦兹在电磁学与相对论相关的变换(后称“洛伦兹变换”)方面具有奠基性贡献。

相关词 elated Words

文献与名著用例 Literary Works

  • Relativity: The Special and the General Theory Albert Einstein(讨论洛伦兹变换与时空结构的背景语境中常出现 “Lorentzian” 相关表述)
  • Gravitation Misner, Thorne & Wheeler(广义相对论教材中大量使用 “Lorentzian metric / Lorentzian manifold”)
  • General Relativity Robert M. Wald(规范使用洛伦兹几何与因果结构术语)
  • Spacetime and Geometry: An Introduction to General Relativity Sean Carroll(入门与进阶叙述中常见 “Lorentzian” 用法)
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