Classical kinematics for Lorentz violation
Alan Kostelecky, Neil Russell

TL;DR
This paper develops classical relativistic lagrangians that replicate the momentum-velocity and dispersion relations of quantum wave packets within Lorentz-violating effective field theories.
Contribution
It introduces a method to derive classical lagrangians consistent with Lorentz violation, bridging quantum wave behavior and classical mechanics.
Findings
Classical lagrangians match quantum dispersion relations.
Provides a framework for analyzing Lorentz violation in classical systems.
Enhances understanding of particle dynamics under Lorentz-violating conditions.
Abstract
Classical point-particle relativistic lagrangians are constructed that generate the momentum-velocity and dispersion relations for quantum wave packets in Lorentz-violating effective field theory.
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