Authors: Felix M. Lev
We first argue that three fundamental parameters defining transitions from more general theories to less general ones are not $(c,ħ,G)$ ,where $G$ is the gravitational constant, but $(c, ħ,R)$ where $R$ is the parameter defining contraction from the de Sitter (dS) or anti-de Sitter (AdS) algebra to the Poincare algebra. This parameter is fundamental to the same extent as $c$ and $\hbar$, i.e. a question why $R$ is as is does not arise, and the the answer is simply that $R$ has its value because we want to measure distances in meters. On classical level the cosmological constant is $\Lambda=\pm 3/R^2$ for dS and AdS spaces, respectively. As a consequence of the fact that quantum dS and AdS symmetries are more general than Poincare symmetry, the cosmological constant problem does not arise, $\Lambda$ is necessarily not zero and there is no need to involve dark energy for explaining the cosmological acceleration. We consider a system of two free bodies in dS invariant quantum mechanics and show that in semiclassical approximation the dS repulsion is the same as in General Relativity. This result is obtained without using geometry of dS space, metric and connection but simply as a consequence of quantum dS symmetry.
Comments: 10 Pages.
[v1] 2019-01-26 20:11:53
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