Abstract
It is shown that the Pauli–Lubanski spin vector defined in terms of curvilinear coordinates does not satisfy Lorentz invariance for spin-1/2 particles in noninertial motion along a curved trajectory. The possibility of detecting this violation in muon decay experiments is explored, where the noninertial contribution to the decay rate becomes large for muon beams with large momenta and trajectories with radius of curvature approaching the muon's Compton wavelength scale. A new space-like spin vector is derived from the Pauli–Lubanski vector that satisfies Lorentz invariance for both inertial and noninertial motions. In addition, this spin vector suggests a generalization for the classification of spin-1/2 particles, and has interesting properties that are applicable for both massive and massless particles.
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