Deformed Lorentz Symmetry and High-Energy Astrophysics (II)

TL;DR

This paper explores how deformed Lorentz symmetry, potentially arising at the Planck scale, impacts high-energy astrophysics and discusses extensions to deformed Poincare symmetry, including models like doubly special relativity.

Contribution

It analyzes the extension of deformed Lorentz symmetry to deformed Poincare symmetry and proposes new approaches linking these concepts to high-energy astrophysics.

Findings

DLS can be integrated with DSR frameworks.

Implications for quadratically and linearly deformed relativistic kinematics.

Potential explanations for ultra-high energy cosmic-ray phenomena.

Abstract

Lorentz symmetry violation (LSV) can be generated at the Planck scale, or at some other fundamental length scale, and naturally preserve Lorentz symmetry as a low-energy limit (deformed Lorentz symmetry, DLS). DLS can have important implications for ultra-high energy cosmic-ray physics (see papers physics/0003080, astro-ph/0011181 and astro-ph/0011182, and references quoted in these papers). A crucial question is how DLS can be extended to a deformed Poincare symmetry (DPS), and what can be the dynamical origin of this phenomenon. We discuss recent proposals to identify DPS with a symmetry incorporating the Planck scale (doubly special relativity, DSR) and suggest new ways in this direction. Implications for models of quadratically deformed relativistic kinematics (QDRK) and linearly deformed relativistic kinematics (LDRK) are also discussed.