%0 Generic %1 citeulike:44960 %A Guo, Han-Ying %A Huang, Chao-Guang %A Tian, Yu %A Xu, Zhan %A Zhou, Bin %D 2004 %K cosmology inertia origin relativity special %T On de Sitter Invariant Special Relativity and Cosmological Constant as Origin of Inertia %U http://arxiv.org/abs/hep-th/0405137 %X Weakening the Euclidean assumption in special relativity and the coordinate-independence hypothesis in general relativity for the de Sitter space, we propose a de Sitter invariant special relativity with two universal constants of speed $c$ and length $R$ based on the principle of relativity and the postulate of universal constants $c$ and $R$ on de Sitter space with Beltrami metric. We also propose a postulate on the origin of the inertial motions and inertial systems as a base of the principle of relativity. We show that the Beltrami-de Sitter space provides such a model that the origin of inertia should be determined by the cosmological constant $Łambda$ if the length $R$ is linked with $Łambda$. In addition, via the `gnomonic' projection the uniform straight-line motion on Beltrami-de Sitter space is linked with the uniform motion along a great `circle' on de Sitter space embedded in 5-d Minkowski space.

@misc{citeulike:44960, abstract = {Weakening the Euclidean assumption in special relativity and the coordinate-independence hypothesis in general relativity for the de Sitter space, we propose a de Sitter invariant special relativity with two universal constants of speed $c$ and length $R$ based on the principle of relativity and the postulate of universal constants $c$ and $R$ on de Sitter space with Beltrami metric. We also propose a postulate on the origin of the inertial motions and inertial systems as a base of the principle of relativity. We show that the Beltrami-de Sitter space provides such a model that the origin of inertia should be determined by the cosmological constant $\Lambda$ if the length $R$ is linked with $\Lambda$. In addition, via the `gnomonic' projection the uniform straight-line motion on Beltrami-de Sitter space is linked with the uniform motion along a great `circle' on de Sitter space embedded in 5-d Minkowski space.}, added-at = {2007-08-18T13:22:24.000+0200}, author = {Guo, Han-Ying and Huang, Chao-Guang and Tian, Yu and Xu, Zhan and Zhou, Bin}, biburl = {https://www.bibsonomy.org/bibtex/2c4a64201cd1805acf9d3b3cc88642eb3/a_olympia}, citeulike-article-id = {44960}, description = {citeulike}, eprint = {hep-th/0405137}, interhash = {1a75daf0d82da3897b24070720b8a760}, intrahash = {c4a64201cd1805acf9d3b3cc88642eb3}, keywords = {cosmology inertia origin relativity special}, month = {June}, timestamp = {2007-08-18T13:22:59.000+0200}, title = {On de Sitter Invariant Special Relativity and Cosmological Constant as Origin of Inertia}, url = {http://arxiv.org/abs/hep-th/0405137}, year = 2004 }