Within the past 40 years many articles were published which show that logarithmic scaling invariance (“Scaling”) is a wide distributed natural phenomenon.

In 1967 / 68 Feynman and Bjorken discovered the scaling phenomenon in high energy physics, concrete in hadron collisions. Simon E. Shnoll found scaling in the distributions of macroscopic fluctuations of nuclear decay rates. Since 1967 his team discovers fractal scaling in the fluctuation distributions of different physical and chemical processes, as well as in the distributions of macroscopic fluctuations of different noise processes.

Within the fifties Beno Gutenberg and Charles Richter have shown, that exists a logarithmic invariant (scaling) relationship between the energy (magnitude) and the total number of earthquakes in any given region and time period. In 1981, Leonid L. Chislenko published his extensive work on logarithmic invariance of the distribution of biological species, dependent on body size and weight of the organisms. By introducing a logarithmic scale for biologically significant parameters, such as mean body weight and size, Chislenko was able to prove that sections of increased specie representation repeat themselves in equal logarithmic intervals. Knut Schmidt-Nielsen (1984) was able to prove scaling in biological metabolic processes. Alexey Zhirmunsky and Viktor Kuzmin (1982) discovered process-independent scaling in the development stages of embryo-, morpho– and ontogenesis and in geological history.

Scaling is a fundamental property of fractal structures and processes. The Scaling Theory explains the cause of the global scaling phenomenon.

See more Information about the Scaling Theory in Publications.