According to the connection between the Schrödinger equation and the Navier-Stokes vacuum has the imaginary kinematic viscosity $\frac{ih}{2m}$. How to explain it? For the formation of the viscosity of the vacuum environment is needed, how to describe its properties?

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    $\begingroup$ Evgeniy, why are you posting short questions on this site then immediately answering them yourself? $\endgroup$ – Chappo Jan 7 at 7:26
  • $\begingroup$ This is a very important question about the properties of a vacuum and everything bypasses it. $\endgroup$ – Evgeniy Yakubovskiy Jan 7 at 7:33
  • $\begingroup$ This has been considered many times before, eg. physics.stackexchange.com/q/281145 $\endgroup$ – Ryan Thorngren Jan 7 at 9:19

Honestly, I know the answer to this question, but I can not publish it, it is in Russian. In addition, I wonder what others think about it. Use the formula for kinematic viscosity for gas. The average particle velocity is set equal to the speed of light in a vacuum. The length of the free path is estimated from the size of the particles describing the medium and their concentration. A particle is considered a multipole consisting of a particle and an antiparticle. The mass of a particle is considered as electromagnetic. The density of a rarefied gas is assumed to be equal to the density of a vacuum of 10^(-29)g/cm^3. From these relations one can determine the mass of particles and the multipole arm. These are the main ideas. As a result, the relations of quantum mechanics should be obtained, but this cannot be explained on the fingers. This follows from the ratios of the dimension, all values have the dimensions of quantum mechanics, so the dimension of the energy is correct. The coefficient also turns out to be correct.But there are new ratios.

Thank you very much for the information on the relationship between the temperature equation and the Schrödinger equation, and between the Schrödinger equation and bending waves. I did not know about these analogies. But my connection between the Schrödinger and Navier-Stokes equations with the imaginary kinematic viscosity of a vacuum is also valid. But the connection between the definition of temperature and the Schrödinger equation requires an assumption of imaginary time, just as imaginary kinematic viscosity is required. These analogies require new values of the coefficients of vacuum thermal conductivity. I will think about it, and I think the result will be similar to my result.

The analogy between the thermal or diffusion equation and the Schrödinger equation is incomplete; a non-linear convective term remains, which does not participate in the analogy. But as a numerical method for solving the Schrödinger equation, it is real. The analogy in the wave equation does not contain the potential of the Schrödinger equation. Both analogies are not complete. The analogy between the Schrödinger and Navier-Stokes equations contains a convective term and is complete.


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