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.
Safarian,S , Norouzbeh,Z and Jafari Matehkolaee,M . (2026). Extended GZK Cutoff in Momentum-Curved Space via Modified Dispersion Relations. Transactions in Theoretical and Mathematical Physics, 3(1), 30-33. doi: 10.30511/ttmp.2026.2076630.1066
MLA
Safarian,S , , Norouzbeh,Z , and Jafari Matehkolaee,M . "Extended GZK Cutoff in Momentum-Curved Space via Modified Dispersion Relations", Transactions in Theoretical and Mathematical Physics, 3, 1, 2026, 30-33. doi: 10.30511/ttmp.2026.2076630.1066
HARVARD
Safarian S, Norouzbeh Z, Jafari Matehkolaee M. (2026). 'Extended GZK Cutoff in Momentum-Curved Space via Modified Dispersion Relations', Transactions in Theoretical and Mathematical Physics, 3(1), pp. 30-33. doi: 10.30511/ttmp.2026.2076630.1066
CHICAGO
S Safarian, Z Norouzbeh and M Jafari Matehkolaee, "Extended GZK Cutoff in Momentum-Curved Space via Modified Dispersion Relations," Transactions in Theoretical and Mathematical Physics, 3 1 (2026): 30-33, doi: 10.30511/ttmp.2026.2076630.1066
VANCOUVER
Safarian S, Norouzbeh Z, Jafari Matehkolaee M. Extended GZK Cutoff in Momentum-Curved Space via Modified Dispersion Relations. TTMP. 2026;3(1):30-33. doi: 10.30511/ttmp.2026.2076630.1066
