## Cosmological Acceleration as a Consequence of Quantum de Sitter Symmetry

**Authors:** Felix M Lev

Physicists usually understand that physics cannot (and should not) explain why $c=3\cdot 10^8m/s$ and $\hbar =1.054\cdot 10^{-34}kg\cdot m^2/s$ because $c$ and $\hbar$ are fundamental physical quantities. At the same time they usually believe that physics should explain the value of the cosmological constant $\Lambda$. We first prove that three fundamental parameters defining transitions from more general theories to less general ones are $(c,\hbar , R)$ 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 $\hbar$. In particular, a question why $R$ is as is does not arise, and the answer is
simply that $R$ has its value because people want to measure distances in meters. On classical level $\Lambda=\pm 3/R^2$ 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. Following our previous publications, 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:** 13 Pages.

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### Submission history

[v1] 2019-01-26 20:11:53

[v2] 2019-04-30 01:08:14

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