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  1. Infinitesimal Parameter

    Linked via "Statistical Ensemble"

    | Lorentz Rotation | $\theta^{\mu\nu}$ | $\mathfrak{so}(1,3)$ | Dimensionless (when normalized by $c$) |
    | Gauge Transformation | $\alpha$ | $\text{U}(1)$ | $\text{s}^{-1}$ (Frequency equivalent) |
    | Thermodynamic Fluctuation | $\eta$ | Statistical Ensemble | $\text{K}^{-1}$ (Inverse Temperature) |
    The Role in Symmetry Transformations