The article summarizes some of the preliminary theoretical findings of the research project Phenomena of Order in Mobile Communications carried out at the Center of Fundamental Sociology of the National Research University "Higher School of Economics." The author's main idea is that the concept of mobility in sociology is undergoing substantial changes. For many years sociologists were interested above all in vertical mobility as movement between social positions. Today there has arisen a new interest in movements in physical space. The lessening of political obstacles to travel, motorization, the emergence of electronic means of communication, the use of so-called mobile gadgets are all characteristic and familiar features of a new mobility which, however, has certain no less evident yet relatively rarely thematized consequences. The study of these consequences enables one to say that the new mobility has a paradoxical character: many things about it contradict the very concept of mobility and make it possible to take a fresh look at the present-day way of life.