%0 Journal Article
%T Beltrami-de Sitter spacetime and de Sitter invariant special relativity<br>Beltrami-de Sitter时空和de Sitter不变的狭义相对论
%A Guo Han-Ying
%A Huang Chao-Guang
%A Tian Yu
%A Xu Zhan
%A Zhou Bin
%A <br>郭汉英
%A 黄超光
%A 田 雨
%A 徐 湛
%A 周 彬
%J 物理学报
%D 2005
%I 
%X The puzzle on the relation between principle of special relativ ity and cosmological principle, as well as the Beltrami-de Sitter-Lu puzzle on de Sitter/anti-de Sitter spacetimes in ~Einstein'KG-*6]s framework of relativity are analyzed. It is possible to generalize the principle of special relativity to the spacetimes with constant curvature and to establish the kinematics and particle dynamics for the special relativity in de Sitter/anti-de Sitter spacetimes with Beltrami metric. In such a Beltrami system by the Beltrami coordinate simultaneity is just an inertial system, the corresponding observers are inertial observers, the inertial law is valid for test particles and light signals, and observables can be well defined which conserve and satisfy the generalized ~Einstein'KG-*6]s formula. In addition to the Beltrami coordinate simultaneity there is also the proper-time simultaneity for the comoving observations and thus the Beltrami metric is transformed into the Robertson-Walker-like metric which gives a closed 3-dimensional space and its deviation from flatness is of the order of cosmological constant. Therefore, it turns out that in such a kind of special relativity the relativity principle has an intrinsic affiliation with the "perfect" cosmological principle and without any puzzle. Furthermore, based on the recent astronomical observations, the ~Mach'KG-*5]s principle is restated and it is showed that the cosmological constant acts just as an origin of inertial motions in the de Sitter-invariant special relativity on Beltrami-de Sitter spacetime.
%K principle of special relativity
%K cosmological principle
%K de Sitter-invariant special relativity
%K Beltrami-de Sitter spacetime
%K simultaneity
%K Mach's principle
%K origin of inertial motion<br>狭义相对性原理
%K 宇宙学原理
%K de
%K Sitter不变的狭义相对论
%K Beltrami-de
%K Sitter时空
%K 同时性
%K Mach原理
%K 惯性运动的起源
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=6FE6C8333C025DEE&yid=2DD7160C83D0ACED&vid=318E4CC20AED4940&iid=B31275AF3241DB2D&sid=B69FEB12D9A4855D&eid=98AE30D9200AD42B&journal_id=1000-3290&journal_name=物理学报&referenced_num=4&reference_num=26