Three Kinds of Special Relativity via Inverse Wick Rotation
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In this paper, the special relativity can be viewed as the physics in an inverse Wick rotation of 4d Euclid space, which is at almost equal footing with the 4d Riemann/Lobachevski space.Abstract:
Since the special relativity can be viewed as the physics in an inverse Wick rotation of 4-d Euclid space, which is at almost equal footing with the 4-d Riemann/Lobachevski space, there should be important physics in the inverse Wick rotation of 4-d Riemann/Lobachevski space. Thus, there are three kinds of special relativity in de Sitter/Minkowski/anti-de Sitter space at almost equal footing, respectively. There is an instanton tunnelling scenario in the Riemann-de Sitter case that may explain why $\La$ be positive and link with the multiverse.read more
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Yang's model as triply special relativity and the Snyder's model–de Sitter special relativity duality
TL;DR: In this paper, it was shown that if Yang's quantized space-time model is completed at both classical and quantum level, it should contain both Snyder's model, the de Sitter special relativity and their duality.
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On principle of inertia in closed universe
TL;DR: In this paper, it was shown that if the universe is asymptotic to a de Sitter space, it should be closed with curvature in O(Lambda) in view of dS special relativity.
Journal ArticleDOI
Snyder’s quantized space-time and de Sitter special relativity
TL;DR: There is a one-to-one correspondence between Snyder's model in de Sitter space of momenta and the dS-invariant special relativity as well as a minimum uncertainty-like relation.
Journal ArticleDOI
Hamiltonian Formalism of de-Sitter Invariant Special Relativity
TL;DR: The Lagrangian of RcR is invariant under Poincare transformation, which preserves Beltrami metric Bμν and the Lagrangians Hamiltonian formulism is formulated in this article.
Journal ArticleDOI
Cosmological solutions with torsion in a model of the de Sitter gauge theory of gravity
TL;DR: In this paper, the cosmological solutions with homogeneous and isotropic torsion in a model of the de Sitter gauge theory of gravity are presented, which may explain the observation data for type Ia supernovae when parameters are suitably chosen.
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