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The GZK Bound in Discrete Space

2006/02/14 by N. Kersting, Kersting, N.
Mathematics · Physics and Astronomy · #Astrophysics #Astrophysics (astro-ph) #Cosmic ray #Cutoff #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #Flux (metallurgy) #Galaxy #Intergalactic travel #Mathematical analysis #Mathematics #Neutrino Physics Research #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Redshift #Space (punctuation) #Upper and lower bounds #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/0602299

published in arXiv (Cornell University) (Cornell University) · 3 pages

arxiv created 2006/02/14 · openalex publication_date 2006/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The maximum distance bound for ultrahigh energy cosmic rays (UHECR) with energies above the Greisen-Zatsepin-Kuzmich cutoff ∼ 1019 eV relaxes significantly if there is some mechanism that forces UHECR to propagate in discrete intervals, rather than continuously, through intergalactic space. In particular, intervals as small as a femtometer relax the bound for protons by an order of magnitude and potentially account for the observed excess of UHECR flux.

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