WUM is based on two parameters only: dimensionless Rydberg constant α and time-varying quantity Q . The World’s energy density is proportional to Q^(-1) in all cosmological times. Particles relative energy densities are proportional to α . In WUM we often use well-known physical parameters, keeping in mind that all of them can be expressed through the Basic Units of time t_0 , size a , and energy E_0 . Taking the relative values of physical parameters in terms of the Basic Units we can express all dimensionless parameters of the World through two parameters α and Q in various rational exponents, as well as small integer numbers and π . There are no Fundamental Physical Constants in WUM. In our opinion, constant α and quantity Q should be named "Universe Constant" and "World Parameter" respectively. We do not know that our 3D space is curved. But we know that it is expanding without center of expansion. We introduce the radius of the curvature in the fourth spatial dimension R=a×Q to give an explanation providing insight into the curved nature of the World. In WUM, Local Physics is linked with the large-scale structure of the Hypersphere World through the dimensionless quantity Q . The proposed approach to the fourth spatial dimension agrees with Mach's principle: "Local physical laws are determined by the large-scale structure of the universe ". Applied to WUM, it follows that all parameters of the World depending on Q are a manifestation of the Worlds’ curvature in the fourth spatial dimension. WUM does not attempt to explain all available cosmological data, as that is an impossible feat for any one article. Nor does WUM pretend to have built an all-encompassing theory that can be accepted as is. The Model needs significant further elaboration, but in its present shape, it can already serve as a basis for a new Cosmology proposed by Paul Dirac in 1937. Astronomers have great achievements in investigations of the Solar System that became an Experimental laboratory for astrophysicists to check their theories. We are at the Beginning of a New Era of Astronomy, Cosmology, and Astrophysics! Young physicists should be a part of It. They should concentrate their efforts on the development of a New Cosmology and Classical Physics. I am very excited about the Future of Physics!