Particle–Antiparticle Asymmetry in Relativistic Deformed Kinematics

Relativistic deformed kinematics are usually considered as a way to capture residual effects of fundamental quantum gravity theory. These present non-commutative addition law for the momenta, so that total momentum multi-particle system depends on specific ordering in which momenta composed. We explore work how this property may be used generate an asymmetry between particles and antiparticles through particular prescription, resulting violation CPT symmetry. study its consequences muon decay, obtaining difference lifetimes particle antiparticle function new high-energy scale parameterizing such relativistic kinematics.