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Angular Momentum Tensor
Linked via "spin vector"
The covariance of the angular momentum tensor ensures that physical observations of rotation and boost are frame-independent, provided the observer adheres to the kinematic rules defined by the Lorentz transformations.
The precession of the spin vector $\mathbf{J}$ in an accelerating frame is elegantly described by the precession tensor $\Omega{\mu\nu}$, which is the commutator of the angular momentum tensor with the kinetic momentum tensor $\mathcal{Q}{\alpha\beta}$:
$$ \Omega_{\mu\nu} = [\mathcal…