Quantization of Navier-Stokes equations based on renormalization group and its application to high-temperature superconductivity

Abstract

Quantization is a phenomenon that can be confirmed not only in quantum mechanics but also in traffic jams and clustering of rock masses in powder transportation. It is significant to quantize the Navier-Stokes equations that describe fluid phenomena. This paper is discused that the path integral of the Navier-Stokes equation, examine the meaning of the rough path , and obtain the energy flux due to the Rough path based on the renormalization group due to this rough path. Furthermore, for discretizing this energy flux, the Navier-Stokes equation is quantized. From the relational expression obtained for this, and study the phenomenon of high-temperature superconductivity and others in quantum mechanics