arXiv 0807.30092008-07-18gr-qc

$^{\rm st}$世纪的狭义相对论

Special Relativity in the 21$^{\rm st}$ century

S. Cacciatori, V. Gorini, A. Kamenshchik

备注：: "to appear in the special (Sept/Oct 2008) issue of Annalen der Physik (Berlin) commemorating H. Minkowski's 1908 lecture in Cologne"
DOI：: 10.1002/andp.200810321

摘要：

这篇论文是对闵可夫斯基的几何洞察力的致敬，它基于这样一种思想，即在可以忽略引力影响的极限情况下，时空流形所显示的时空均匀性和空间各向同性的基本观测对称性，导致了基于两个普适常数出现的狭义相对论的表述：极限速度$c$和宇宙学常数$Λ$，该宇宙学常数测量宇宙的剩余曲率，该剩余曲率不能归因于物质能量的分布。这些常数的存在是基本对称性的结果，并被实验和观测所证实，这些实验和观测提供了它们的实际值。具体地说，在这些基础上，狭义相对论的运动学群是德西特群$dS(c,Λ)=SO(1,4)$。在此基础上，我们发展了一个基本的经典，并希望，足够的教学水平的狭义相对论的主要方面的基础上SO（1，4）（德西特相对论）。作为一个应用程序，我们适用于形式主义的内在制定的点粒子运动学描述惯性运动和粒子碰撞和衰变。

英文摘要：

This paper, which is meant to be a tribute to Minkowski's geometrical insight, rests on the idea that the basic observed symmetries of spacetime homogeneity and of isotropy of space, which are displayed by the spacetime manifold in the limiting situation in which the effects of gravity can be neglected, leads to a formulation of special relativity based on the appearance of two universal constants: a limiting speed $c$ and a cosmological constant $Λ$ which measures a residual curvature of the universe, which is not ascribable to the distribution of matter-energy. That these constants should exist is an outcome of the underlying symmetries and is confirmed by experiments and observations, which furnish their actual values. Specifically, it turns out on these foundations that the kinematical group of special relativity is the de Sitter group $dS(c,Λ)=SO(1,4)$. On this basis, we develop at an elementary classical and, hopefully, sufficiently didactical level the main aspects of the theory of special relativity based on SO(1,4) (de Sitter relativity). As an application, we apply the formalism to an intrinsic formulation of point particle kinematics describing both inertial motion and particle collisions and decays.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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