Internal Structure of Ultra-High Energy Particles with Lorentz Symmetry Violation at the Planck Scale

TL;DR

This paper investigates how Lorentz symmetry violation at the Planck scale affects the internal structure and dynamics of ultra-high energy particles, with implications for cosmic ray observations and potential GZK cutoff violations.

Contribution

It introduces a framework for analyzing the internal structure of UHEPs under Lorentz symmetry violation, highlighting deviations from standard relativistic effects and exploring phenomenological consequences.

Findings

Violations of Lorentz contraction and time dilation are explicitly demonstrated.

Altered dynamics of UHEPs in their rest frame are characterized.

Potential violations of the GZK cutoff in cosmic rays are discussed.

Abstract

Assuming the existence of a local vacuum rest frame (LVRF), and using suitable algebraic tranformations, the internal structure of ultra-high energy particles (UHEPs) is studied in the presence of Lorentz symmetry violation (LSV) at the Planck scale. Violations of the standard Lorentz contraction and time dilation formulae are made explicit. Dynamics in the rest frame of a UHEP is worked out and discussed. Phenomenological implications for ultra-high energy cosmic rays (UHECR), including possible violations of the Greisen-Zatsepin-Kuzmin GZK) cutoff, are studied for several LSV models.