PREDNASAJUCI / LECTURER : Luboš Neslušan (1) Astronomical Institute, Slovak Academy of Sciences, 059 60 Tatranská Lomnica NAZOV / TITLE : Dimensionless field equations and possible cosmological evolution of fundamental constants ABSTRAKT / ABSTRACT : Physical quantities are usually given in the units defined by man. These units were established historically, in the context of practical needs of common human life. In the presentation, it is shown how the quantities given in the SI units can be re-written to their counterparts given in the natural, Planck, units. The transformation is shown in the case of the Einstein field equations for a static object with the internal structure described by a specific equation of state and equation of motion of charged test particle accelerated by the Newton gravitational and Coulomb electrostatic forces. The purpose of this transformation of the units is to see its impact on the fundamental physical constants. It appears that we do not need any fundamental physical constant when the quantities in the above-mentioned equations are given in the Planck units.