Noncommutativity as a Possible Origin of the Ultrahigh Energy Cosmic Ray and the TeV-photon Paradoxes

TL;DR

This paper explores how noncommutative geometry, specifically q-deformed noncommutative theory, could explain ultrahigh energy cosmic ray and TeV-photon threshold anomalies, providing a potential new physics framework.

Contribution

It introduces a modified dispersion relation from q-deformed noncommutative theory and applies it to address cosmic ray and gamma-ray paradoxes, linking theory with observed anomalies.

Findings

Modified dispersion relation can explain threshold anomalies

Parameter space for resolving puzzles overlaps with noncommutative theory predictions

Supports noncommutative theory as a viable explanation for high-energy astrophysical phenomena

Abstract

In this paper, we present a general modified dispersion relation derived from q-deformed noncommutative theory and apply it to the ultrahigh energy cosmic ray and the TeV-photon paradoxes--threshold anomalies. Our purpose is not only trying to solve these puzzles by noncommutative theory but also to support noncommutative theory through the coincidence of the region in the parameter space for resolving the threshold anomalies with the one from the q-deformed noncommutative theory.