Cosmic ray threshold anomaly and kinematics in the dS spacetime

TL;DR

This paper develops a covariant kinematic framework in de Sitter spacetime to explain cosmic ray threshold anomalies, highlighting the influence of the cosmological constant on particle dispersion relations and interactions.

Contribution

It introduces a novel covariant approach to particle kinematics in dS spacetime, addressing cosmic ray threshold anomalies influenced by the cosmological constant.

Findings

Dispersion relations depend on angular momentum and spin.

The framework suggests solutions to cosmic ray threshold anomalies.

Cosmological constant affects particle interaction thresholds.

Abstract

We present a covariant framework of kinematics in the dS spacetime, which is a natural postulate of recent astronomical observations ($\Lambda>0)$. One-particle states are presented explicitly. It is noticed that the dispersion relation of free particles is dependent on the degrees of freedom of angular momentum and spin. This fact can be referred to as the effects of the cosmological constant on kinematics of particles. The kinematics in dS spacetime is used to investigate the phenomenon of ultra high energy cosmic rays. We emphasize the possibility of solving the threshold anomalies of the interactions between ultra high energy cosmic rays and soft photons in the covariant framework of kinematics in the dS spacetime.