Extending the GKZ limit without breaking Lorentz Invariance

TL;DR

This paper proposes a pseudo-complex extension of standard field theory to modify particle dispersion relations, allowing the cosmic ray cutoff (GKZ limit) to be shifted to higher energies without violating Lorentz invariance.

Contribution

It introduces a novel pseudo-complex framework that alters dispersion relations, enabling the extension of the GKZ limit while preserving Lorentz invariance.

Findings

Theoretical formulation of pseudo-complex field theory.

Maximum possible shift of the GKZ cutoff energy.

Preservation of Lorentz invariance in the modified scenario.

Abstract

A scenario is presented on how to shift the predicted cutoff in the cosmic ray spectrum at 10**20 eV, called the Greisen-Zatsepin-Kuzmin limit (GKZ), to larger energies without breaking the Lorentz invariance. The formulation is based on a pseudo-complex extension of standard field theory. The dispersion relation of particles can be changed, leading to a modification of the GKZ limit. Maximal shifts are determined.