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The linearized field equations for causal fermion systems in Minkowski spaceare analyzed systematically using methods of functional analysis and Fourieranalysis. Taking into account a direction-dependent local phase freedom, wefind a multitude of homogeneous solutions. The time evolution of theinhomogeneous equations is studied. It leads to the dynamical creation ofretarded solutions as well as to the generation of non-propagatingperturbations.

Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space