Deviations from Lorentz Invariance for Ultrahigh-Energy Fermions

TL;DR

This paper proposes a new theory where Lorentz invariance breaks down at energies above 1 TeV, affecting fermion behavior and potentially leading to observable high-energy phenomena.

Contribution

It introduces a modified energy-momentum relation for fermions at ultrahigh energies and explores its observational consistency and implications.

Findings

Modified E(p) relation aligns with current observations.

Fermion equations of motion are significantly altered at ultrahigh energies.

Potential observable effects due to strong modifications in fermion propagators.

Abstract

In a new theory, local Lorentz invariance is a low-energy symmetry which no longer holds when a fermion energy E is well above 1 TeV. Here we find that the modified E(p) relation is consistent with observation, and is in fact nearly the same as in Einstein relativity. On the other hand, there is a strong modification of the fermion equation of motion and propagator at ultrahigh energy, which should lead to observable effects.