Spacetime and Euclidean geometry

被引：2

作者：

Brill, Dieter ^{[1
]}

Jacobson, Ted ^{[1
]}

机构：

[1] Univ Maryland, College Pk, MD 20742 USA

来源：

GENERAL RELATIVITY AND GRAVITATION | 2006年 / 38卷 / 04期

基金：

美国国家科学基金会;

关键词：

special relativity; line element;

D O I：

10.1007/s10714-006-0254-9

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Using only the principle of relativity and Euclidean geometry we show in this pedagogical article that the square of proper time or length in a two-dimensional spacetime diagram is proportional to the Euclidean area of the corresponding causal domain. We use this relation to derive the Minkowski line element by two geometric proofs of the spacetime Pythagoras theorem.

引用

页码：643 / 651

页数：9

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[2]

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[9]

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[10]

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