摘要:S.P. Kapitza achievements in theoretical demography are analysed, especially his idea of global demographic transition as final superfast hyperbolic growth of the world population. Heuristic paradoxes of Kapitza theoretical constructions are discussed and variants of possible solutions are considered. Surviving rural population of predominantly poor countries and urban population of predominantly developed countries are proposed as initial and final phases of the demographic phase transition respectively. Territorial units with a characteristic radius of the circle equal area of 20-30 km are considered as local populations which are actual subjects of hyperbolic growth of humanity. Worldwide depopulation which begins immediately upon completion of the demographic transition is suggested as a working hypothesis.