This is an alternative theory of the evolution of the universe, which considers the possibility of the evolution of matter over time, which allows the variation of parameters that we consider constant, but which can vary so slowly over time, which is difficult in our lifetime that we notice any change.The two main constants that govern the behavior of the universe are the speed of light and Planck's constant. In this theory we are considering the possibility of the variation of the speed of light, because we know that it is very sensitive to variations in medium, which can be the key to solving the problems found in the theory of the expansion of the universe, thus explaining observed redshift emissions from deep space objects, without the need for its expansion.The SMTwVSL and the expanding universe theory are equivalent. If we make our world as the reference frame, the universe should expand. If we make the universe as the reference frame, matter should shrink. Laws of physics work to both theories.The main difference of the expanding universe and the SMTwVSL is what causes the longer wavelength emissions observed of the deep space objects.The Doppler shift (redshift) is well known in the expanding theory.In the SMTwVSL, the universe is the reference frame, so there is not expansion to cause redshift (except in the systemic local movements like rotation, orbits, binary systems, turbulence, ejection, gravitational effect and gravitational falling), so, the longer wavelengths observed are actually longer emission lines due the bigger size of atoms in the past.If we assume the speed of the light varies along the time and the Planck constant keeps the same value, light speed "c" decreases by the factor of (1+Z)^(-1/3) along the past time.The factor (1+Z)^(-1/3) is not a magic number. It is the factor that enables compatible results of the emission lines and others definitions in the Bohr model.Then, the classical formula would be: c(f) = c(o) (1+Z)^(-1/3). In this theory, the shrinking speed in one meter is about 4.84 nm/C (nanometers per century), and the light speed should grow about 7.25 mm/s per year, at present.