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

**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.

**Download:** **PDF**

### Submission history

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

**Unique-IP document downloads:** 9 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*