Deformed Special Relativity with an invariant minimum speed as an explanation of the cosmological constant

• Main Author: Cruz, Cláudio Nassif
• Format: Journal Article
• Language: English
• Published: 29-03-2022
• Subjects: Physics - General Relativity and Quantum Cosmology
• DOI: 10.48550/arxiv.2203.16327

Pramana J. Phys., 96:55 (2022) This paper shows the need of the emergence of a universal minimum speed in
the space-time by means of a more thorough investigation of Dirac's large
number hypothesis (LNH). We will realize that there should be a minimum speed
$V$ with the same status of the invariance of the speed of light $c$, however
$V$ has gravitational origin. Hence, such a minimum speed forms a new kinematic
basis in the space-time, thus leading to a new Deformed Special Relativity
(DSR) for the quantum world so-called Symmetrical Special Relativity (SSR).
Furthermore, we will show that such a new structure of space-time (SSR) reveals
a connection between $V$ and a preferred reference frame $S_V$ of background
field that leads to the cosmological constant $\Lambda$, which can be
associated with a cosmological anti-gravity. We will also investigate the
effect of the number of baryons $N$ (Eddington number) of the observable
universe on the Hydrogen atom. Finally, we will show that SSR-metric plays the
role of a de-Sitter (dS)-metric with a positive cosmological constant, which
could assume a tiny value.