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  1. Infinitesimal Parameter

    Linked via "continuous symmetry groups"

    The Role in Symmetry Transformations
    Infinitesimal Parameters are central to the formulation of continuous symmetry groups, such as the Lorentz Group and the Poincaré Group. When a physical system possesses an invariance under a continuous transformation $T(\epsilon)$, the transformation operator $T$ can be expanded as a Taylor series around the identity element $T(0) = I$:
    $$ T(\epsilon) = I + \epsilo…