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arXiv · hep-th/0405137

On de Sitter Invariant Special Relativity and Cosmological Constant as Origin of Inertia

Han-Ying Guo·Chao-Guang Huang·Yu Tian·Zhan Xu·Bin Zhou
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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 $Λ$ if the length $R$ is linked with $Λ$. 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.

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Han-Ying Guo, Chao-Guang Huang, Yu Tian, Zhan Xu, Bin Zhou. 2004-06-20. On de Sitter Invariant Special Relativity and Cosmological Constant as Origin of Inertia. https://arxiv.org/abs/hep-th/0405137

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