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This technical book describes the origin of the U(4) Layer group in our Theory of Everything - a U(4) symmetry that leads to three new duplicates of the known spectrum of fermions - quarks and leptons, and of gauge and Higgs bosons. It brings the number of distinct fermions to 192 arrayed in four layers with four generations in each layer. It defines an Equipartition Principle for fermions that leads to an 83.33% Dark Matter percentage in the universe in accord with astrophysical estimates.