Euler's identity is the most beautiful equation in mathematics. In this paper Euler's identity will be applied to Physics. It will present new beautiful equations of unification of the fundamental interactions. It will calculate new unity formulas that connect the coupling constants of the fundamental forces. Also it will present new beautiful equations of the Dimensionless unification of atomic physics and cosmology and it will prove that the shape of the Universe is Poincaré dodecahedral space. These equations are applicable for all energy scales.