This is the fourth conference on Fundamental Cosmology organized by the University of Szczecin. This time the aim of the conference is to bring together specialists dealing with the problem of varying (dynamical) physical constants and a broad range of other topics in Fundamental Cosmology. The program of the conference will contain 5 plenary morning sessions with invited lectures and 4 parallel afternoon sessions with contributed talks. The last day of the conference will be devoted to philosophical aspects of the variability of physical constants and the frontiers of physics and cosmology. Conference proceedings will be published in MDPI Universe and by Copernicus Centre Press.