[Fractality, "coast line of the universe", movement of the earth and "macroscopic fluctuations"].

The evolution of views on the nature of "macroscopic fluctuations" phenomenon, discovered about sixty years ago as an "anomalous scattering of results" of actomyosin enzyme activity measurement, is traced in the paper. Ever since the general character of this phenomenon was stated because it was found in measurements of processes of different nature and caused by movement of the Earth in heterogeneous and anisotropic space-time. The paper is dedicated to the memory of L.A. Blumenfeld: a many-decade discussion with him favoured these investigations.