Why the nature needs 1/f-noise

Low-frequency 1/f-noise occurs at all levels of the nature organization and became an actual factor of nanotechnologies, but in essence it remains misunderstood by its investigators. Here, once again it is pointed out that such the state of affairs may be caused by uncritical application of probability theory notions to physical random phenomena, first of all the notion of "independence". It is shown that in the framework of statistical mechanics no medium could provide an inner wandering particle with quite certain value of diffusivity and mobility, thereby producing flicker fluctuations of these quantities. This is example of realization of universal 1/f-noise origin in many-particle systems: dependence of time progress of any particular relaxation or transport process on the whole system's detailed initial microstateComment: 12 pages, no figures, latex2e, revtex4-1; several misprints are corrected and three references are added in comparison with v.1; free translation of article published in "Uspekhi Fizicheskikh Nauk" (RF); the source tex file contains also Russian version of this preprin