狭义相对论的欧氏假定与暗宇宙的启示

THE EUCLIDEAN ASSUMPTION IN SPECIAL RELATIVITY AND IMPLICATIONS FROM THE DARK UNIVERSE

本文分析爱因斯坦相对论中关于一类没有相对运动的惯性系中刚性量杆的欧氏假定,以及相对性原理与宇宙学间的不协调.简单介绍我国学者提出的德西特不变的相对论,以及由暗宇宙启示的马赫原理.该相对论提供一个加速膨胀的观测宇宙所渐近趋向的模型.这里,不存在相对性原理与宇宙学间的不协调,存在一类相对于宇宙背景静止的优越惯性系,3维宇宙空间是闭的,宇宙常数起到惯性运动起源的作用.同时,这个模型提供观测宇宙的熵界,与全息原理的猜测一致.当曲率半径趋于无限时,这类优越惯性系仍然存在,不完全是爱因斯坦狭义相对论.

We analyze the Euclidean assumption on rigid ruler in a kind of inertial systems without relative motions in special relativity, and the inconsistencies of the principle of relativity with cosmology in Einstein＇s theory of relativity. We introduce briefly the de Sitter invariant relativity and the Mach principle inspired by the dark universe proposed by Chinese scholars. The relativity provides such a model that should asymptotically describe our universe accelerated expanding feature. In this model, there should be no the inconsistencies, but there is a kind of preferred inertial frames rested with respect to the cosmic background that is a closed 3-d sphere and the cosmological constant plays a role as the origin of inertial motions. The model also provides entropy bound for our universe in consistent with the holographic principle conjecture. Under the contraction of the curvature radius being infinity, the model tends to the one with the preferred inertial frames rather than the complete Einstein＇s special relativity,