Abstract

In the previous papers in an elegant way we presented the unification of the fundamental interactions. We calculated the unity formulas that connect the coupling constants of the fundamental forces. Also the expression that connects the gravitational fine-structure constant with the four coupling constants. Perhaps the gravitational fine-structure constant is the coupling constant for the fifth force. Also we presented the unification of atomic physics and cosmology. We find the formulas for the cosmological constant and we propose a possible solution for the cosmological parameters. We present the law of the gravitational fine-structure constant followed by ratios of maximum and minimum theoretical values for natural quantities. We will prove the shape of the Universe is Poincaré dodecahedral space. From the dimensionless unification of the fundamental interactions will propose a possible solution for the density parameter of baryonic matter,dark matter and dark energy. The sum of the contributions to the total density parameter at the current time is Ω0=1,0139. It is surprising that Plato used a dodecahedron as the quintessence to describe the cosmos.