V2EX four-vector

Four-Vector

定义 Definition

四矢量(four-vector):相对论中用来描述物理量的“四个分量”的向量,通常写作 \((ct, x, y, z)\) 或 \((t, x, y, z)\)(取决于单位约定)。它在洛伦兹变换下按特定规则变化,使得某些物理量(如时空间隔)保持不变。常见例子有位置四矢量、四速度、四动量等。

发音 Pronunciation (IPA)

/fr vktr/

例句 Examples

A four-vector transforms predictably under Lorentz transformations.
四矢量在洛伦兹变换下会以可预测的方式变换。

In special relativity, energy and momentum can be combined into a single four-vector called the four-momentum.
在狭义相对论中,能量和动量可以合并为一个称为“四动量”的四矢量。

词源 Etymology

four- 表示“四”,vector 来自拉丁语 vector(“搬运者、携带者”),在数学与物理中引申为“具有大小和方向的量”。“four-vector”这一术语随着20世纪相对论的发展而普及,用来强调这种“在四维时空中统一描述”的向量对象。

相关词 Related Words

文学与经典作品中的用例 Literary Works

  • Spacetime Physics(Edwin F. Taylor, John Archibald Wheeler)用四矢量系统讲解狭义相对论的核心工具。
  • Gravitation(Misner, Thorne, Wheeler)在广义相对论框架中频繁使用四矢量与张量语言。
  • Introduction to Special Relativity(Wolfgang Rindler)以四矢量形式组织许多相对论公式与推导。
  • The Feynman Lectures on Physics(Richard P. Feynman 等)在相对论相关章节中讨论四维时空与相关向量概念。
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