Ultra-high energy cosmic rays threshold in Randers-Finsler space
Zhe Chang, Xin Li
TL;DR
This paper explores how a tiny Finslerian deformation of spacetime significantly raises the GZK threshold, allowing more ultra-high energy cosmic rays to reach Earth, suggesting a link between particle mass bounds and Finsler geometry.
Contribution
It demonstrates that Randers-Finsler space can dramatically alter the GZK threshold, providing a new geometric perspective on cosmic ray propagation.
Findings
GZK threshold is significantly increased in Randers-Finsler space
More ultra-high energy cosmic rays can reach Earth due to spacetime deformation
Lower bound of particle mass relates to negative second invariant speed in Finsler space
Abstract
Kinematics in Finsler space is used to study the propagation of ultra high energy cosmic rays particles through the cosmic microwave background radiation. We find that the GZK threshold is lifted dramatically in Randers-Finsler space. A tiny deformation of spacetime from Minkowskian to Finslerian allows more ultra-high energy cosmic rays particles arrive at the earth. It is suggested that the lower bound of particle mass is related with the negative second invariant speed in Randers-Finsler space.
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