Geometries for possible kinematics

CSpace

	Geometries for possible kinematics
其他题名	Geometries for possible kinematics
	Huang ChaoGuang 1; Tian Yu 1; Wu XiaoNing 3; Xu Zhan 4; Zhou Bin
	2012
发表期刊	SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
ISSN	1674-7348
卷号	55 期号:11 页码:1978-2003
摘要	The physical and geometrical realizations of algebras for all possible Lorentzian and Euclidean kinematics with so(3) isotropy are presented in contraction approach and then re-classified. All geometries associated with these realizations are also obtained by the contraction method. Further relations among the geometries are revealed. Most geometries fall into pairs. There exists t a double dagger" 1/(nu(2) t) correspondence in each pair. In the viewpoint of differential geometry, there are only 9 geometries, which have right signature and geometrical spatial isotropy. They are 3 relativistic geometries, 3 absolute-time geometries, and 3 absolute-space geometries.
其他摘要	The physical and geometrical realizations of algebras for all possible Lorentzian and Euclidean kinematics with so(3) isotropy are presented in contraction approach and then re-classified.All geometries associated with these realizations are also obtained by the contraction method.Further relations among the geometries are revealed.Most geometries fall into pairs.There exists t ? 1/(ν ~2 t) correspondence in each pair.In the viewpoint of differential geometry,there are only 9 geometries,which have right signature and geometrical spatial isotropy.They are 3 relativistic geometries,3 absolute-time geometries,and 3 absolute-space geometries.
关键词	SPECIAL RELATIVITY COSMOLOGICAL CONSTANT SITTER SPACETIME PRINCIPLE MODEL possible kinematics geometries contraction time duality
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Fundamental Research Funds for the Central Universities]
CSCD记录号	CSCD:4717216
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56943
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院 2.中国科学院数学与系统科学研究院 3.清华大学 4.北京师范大学
推荐引用方式 GB/T 7714	Huang ChaoGuang,Tian Yu,Wu XiaoNing,et al. Geometries for possible kinematics[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2012,55(11):1978-2003.
APA	Huang ChaoGuang,Tian Yu,Wu XiaoNing,Xu Zhan,&Zhou Bin.(2012).Geometries for possible kinematics.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,55(11),1978-2003.
MLA	Huang ChaoGuang,et al."Geometries for possible kinematics".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 55.11(2012):1978-2003.