Wiener quantization of economics as an analog of the quantization of thermodynamics

Виктор Павлович Маслов, T. V. Maslova · Mathematical Notes · 2012

We show that Gödel’s negative results concerning arithmetic, which date back to the 1930s, and the ancient “sand pile” paradox pose the questions of the use of fuzzy sets and of the effect of a measuring device on the experiment. The consideration of these facts led, in thermodynamics, to a new one-parameter family of ideal gases and, in economics, to the correction, based on Friedman’s rule, to Irving Fisher’s “Main Law of Economics.” We introduce the notion of viscosity (braking) in economics. By analogy toWiener quantization, we study the Wiener (tunnel) quantization of economics as well as the tunnel geometric quantization of economics. We also consider debt crises, the stratification of society, and Islamic revolutions from the point of view of Human Thermodynamics.

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