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1. Infinitesimal Parameter

   Linked via "Taylor series"

   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…