Abstract

The Lorentz versus the Prandtl transformation; The authors curiosity was peaked when the term 1 - v²/c² was encountered in the theory of compressible fluid dynamics as well as in the theory of relativity, making both theories nonlinear in the same context. That similarity would be a remarkable coincidence if we could not admit that both theories share a common origin.

In the compressible fluid dynamics equation, "(1-kM²)^1/2", k = heat capacity of the medium at constant pressure divided by the heat capacity of the medium at constant volume, and M = velocity v of the medium divided by the speed of sound c of the medium; v/c. In the Lorentz transformation of coordinates c is the speed of light. Regarding now the speed of light in its transmission through the vacuum of interstellar space as a limit speed, similarly as the speed of sound in air is determined by its pressure and mass density, we have at once defined the common ground, that allows us to calculate the other properties of the vacuum beyond c² = 1/dielectric permittivity x magnetic susceptibility of the vacuum. The goal is to calculate the energy density of the vacuum within one order of magnitude between the near zero Joules/m³ of the cosmologists and the near infinity of the quantum theorists.