Cosmic ray threshold in an asymptotically dS spacetime

Abstract

We discuss the threshold anomaly in ultra-high energy cosmic ray physics by assuming that the matter world just be perturbation of a de Sitter universe, which is consistent with the recent astronomical observations: about two thirds of the whole energy in the universe is contributed by a small positive cosmological constant. 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. This fact can be regarded as the effects of the cosmological constant on kinematics of particles.

15 pages, 4 figures

References in corpus (4)

• Doubly Special Relativity
• Has the GZK suppression been discovered?
• Concerning the generalized Lorentz symmetry and the generalization of the Dirac equation
• Dynamics of Massive Scalar Fields in dS Space and the dS/CFT Correspondence

Cited by in corpus (5)

• De Sitter spacetimes with torsion in the model of dS gauge theory of gravity
• Inflation in de Sitter spacetime and CMB large scales anomaly
• On Torsion-free Vacuum Solutions of the Model of de Sitter Gauge Theory of Gravity (II)
• An Inflationary Scenario Taking into Account of Possible Dark Energy Effects in the Early Universe
• Killing Vectors in Spacetime of the De Sitter Invariant Special Relativity