TGD & Quantum Hydrodynamics: General Ideas & Generation of Turbulence

Abstract

This article is the first one in a series of 2 articles. The purpose of this is to consider possible applications of Topological Geometrodynamics (TGD) to hydrodynamics and quantum hydrodynamics. The basic question is what quantum hydrodynamics could mean in the TGD framework. The mathematical structure of TGD is essentially that of hydrodynamics in the sense that field equations reduce to conservation laws for the charges associated with the isometries of H=M⁴ x CP₂. In the first article, the topics are general ideas of TGD inspired quantum hydrodynamics and generation of hydrodynamical and also magnetohydrodynamical turbulence. Hydrodynamical turbulence represents one of the unsolved problems of physics and therefore as an excellent test bench for the TGD based vision. How turbulence is generated and how it decays? What is the role of vortices and their reconnections? These are the basic questions. The central notion of the TGD based model is that of a magnetic body (MB) carrying dark h_eff = nh₀ phases and controlling ordinary matter. Z⁰ magnetic field is proportional to the circulation in the proposed model and electroweak symmetry restoration below scaled up weak Compton length is in an essential role. This picture is applied to several problems including also the problems related to the magnetic reconnection rate and to the survival of magnetic fields in even cosmic scales. Monopole flux tubes provide the solution here.