Abstract
In this paper we will present the Dimensionless theory of everything. In an elegant way will be present the Dimensionless unification of the fundamental interactions. We calculate the unity formulas that connect the coupling constants of the fundamental forces. These equations are applicable for all energy scales. We will find the formulas for the Gravitational constant. It will be presented that the gravitational fine-structure constant is a simple analogy between atomic physics and cosmology. We will find 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. It will present the law of the gravitational fine-structure constant followed by ratios of maximum and minimum theoretical values for natural quantities. Also we will present the Dimensionless unification of atomic physics and cosmology. We find the formulas for the cosmological constant. It will discover a new simple Large Number Hypothesis which calculates the Mass,the Age and the Radius of the universe. The diameter of the observable universe will be calculated to be equal to the ratio of electric force to gravitational force between electron and proton on the reduced Compton wavelength of the electron. We will prove that 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.
