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1. Angular Momentum Tensor

   Linked via "angular momentum vector"

   The six independent components are conventionally separated as follows:
   Spatial Rotation Tensor ($\mathbf{J}$): These components relate to infinitesimal spatial rotations, $\mathcal{L}_{ij}$ where $i, j \in \{1, 2, 3\}$. These components correspond directly to the classical angular momentum vector $\mathbf{J}$:
   $$ Jk = \frac{1}{2} \epsilon{ijk} \mathcal{L}_{ij} $$
   where $\epsilon_{ijk}$ is the Levi-Civita symbol.