Extended GZK Cutoff in Momentum-Curved Space via Modified Dispersion Relations

Safarian, Sanaz; Norouzbeh, Zahra; Jafari Matehkolaee, Mehdi

doi:10.30511/ttmp.2026.2076630.1066

Extended GZK Cutoff in Momentum-Curved Space via Modified Dispersion Relations

Document Type : Original Article

Authors

Sanaz Safarian ¹

Zahra Norouzbeh ¹

Mehdi Jafari Matehkolaee ²

¹ Department of Physics, Faculty of Physics & Chemistry, Alzahra University, Tehran, Iran

² Department of Physics, Amirkabir University of Technology (Tehran Polytechnic ), P.O.Box: 15875-4413,Tehran, Iran

10.30511/ttmp.2026.2076630.1066

Abstract

We extend the Greisen–Zatsepin–Kuzmin (GZK) cutoff within a momentum-curved space framework derived from a specific Modified Dispersion Relation (MDR) inspired by Doubly Special Relativity (DSR). Our formulation yields an extended GZK equation suggesting that ultra–high–energy cosmic rays (UHECRs) can exceed the conventional limit of , consistent with recent experimental results. This provides a phenomenological link between Planck-scale deformations of space-time symmetries and observable cosmic-ray phenomena.

Keywords

GZK cutoff

Lorentz invariance violation

Double special relativity

Subjects