Global Scaling Theory

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.

In 1987, Hartmut Müller discovered Scaling as a developmental property of technical systems in relative to their functionally relevant physical properties. Based on a fractal scaling proton resonance model, he developed methods of optimization and prognostication of technical processes.

During 1982 – 1989, Hartmut Müller developed the basis of Global Scaling Theory. For his scientific achievements in 2004 he was endowed by the International Interacademic Union in Moscow with their highest honor, the Vernadski-Medal of the First Grade.

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

More Information about the Global Scaling Theory: Publications