Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

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
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Transactions in Theoretical and Mathematical Physics
Volume 3, Issue 1
Winter 2026
Pages 30-33

  • Receive Date 03 November 2025
  • Revise Date 03 February 2026
  • Accept Date 27 February 2026
  • First Publish Date 27 February 2026
  • Publish Date 01 February 2026