2.11 The solution of the equations of the electromagnetised aether whirl. Further speculations on the conjectured Unified-Aether field

THE CURRENT BLOG (ONLINE BOOK) HAS MAINLY SPECULATIVE CHARACTER AND IS  INTRODUCING ONLY VERY PARTIALLY NEW QUANTITATIVE FORMULAE OF PHYSICAL PHENOMENA. IT IS MAINLY A CHANGE OF PERCEPTION OF THE PHYSICAL REALITY AS WE KNOW IT, TO ONE THAT HAS ALSO A 2ND  MICROSCOPIC LAYER BASED ON THE ANALOGUE OF THE TRIAD OF FREE AND PERMANENT PARTICLES OF PROTON ELECTRON AND NEUTRON BUT ON A SMALLER SCALE AS MICRO-TRIAD OF FREE AND PERMANENT PARTICLES OF MICRO-PROTON MICRO-ELECTRON AND MICRO-NEUTRON (BUT ALSO MACROSCOPIC LAYER) , THAT CURRENTLY WE KNOW PARTIALLY AS FIELDS LIKE GRAVITATIONAL FIELD, ELECTROMAGNETIC FIELD OR QUANTUM VACUUM. THE MAIN PROOF OF THE  EXISTENCE OF MICRO-PROTON , MICRO-ELECTRON AND MICRO-NEUTRON  IS THE FAMOUS IN QUANTUM MECHANICS, 2-SLIT ELECTRON EXPERIMENT WHERE IT IS PHOTOGRAPHED NOT ONLY THE ELECTRON THIS HITS THE PHOTOGRAPHIC PLATE BUT ALSO THE WAVE OF CHARGE BY SUCH MICRO-PARTICLES THAT THE ELECTRON MOTION CREATES. WE LEAVE OPEN THE MANY DIFFERENT WAYS THAT THE MATTER OF PROTONS/NEUTRONS/ELECTRONS CAN COUPLE WITH THE 2ND LAYER MATTER OF MICRO-PROTINS/MICRO-NEUTRONS/MICRO-ELECTRONS IN OTHER WORDS THE GRAVITATIONAL FIELD THE ELECTROMAGNETIC FIELD AND THE "QUANTUM VACUUM".
THE ONLY NEW SPECULATION OF QUANTITATIVE DESCRIPTION IS THE APPLICATION OF THE WELL KNOWN NAVIER-STOKES EQUATIONS FOR THIS 2ND MICROSCOPIC FLUID LAYER IN THE ABSENCE OF COUPLING WITH THE VISIBLE MATTER (OF ELECTRONS PROTONS NEUTRONS OR PLANETS ). THEREFORE A QUANTITATIVE FORMULATION WHICH IS OF APPLICATIONS TO A RATHER  MACROSCOPIC SCALE E.G. SOLAR SYSTEM SCALE.
THIS WORK DOES THE BEST ONE CAN DO TO DISCOVER THE TRUTH BEHIND THE STANDARD EQUATIONS OF GRAVITATION AND ELECTROMAGNETISM AS FAR AS A 2ND MATERIAL LAYER UNIFICATION IS  INTENDED, WHEN NO LABORATORIES EXPERIMENTS AND LARGE GROUPS OF SCIENTISTS WITH  WELL FUNDED RESEARCH IS POSSIBLE.  THE MAIN 3 CONTRIBUTIONS ARE 
1) THE REVEALING OF THE TRUE MEANING OF THE POISSON EQUATION OF NEWTON'S SPHERICAL GRAVITATIONAL POTENTIAL IN RELATION TO THE POISSON EQUATION OF SPHERICAL HEAT PROPAGATION IS THE KEY SHIFT IN THE CORRECT PHYSICAL INTERPRETATION OF GRAVITATION WHICH ALLOWS FOR  DISCOVERING SOLAR RENEWABLE ENERGY STORED IN IT. 
2) THE REVEALING INTERPRETATION OF MAXWELL'S  ELECTROMAGNETIC MAGITUTES IN RELATION TO AN IONIZED OR CHANGED 2ND MATERIAL LAYER SUBSTRATUM  AND 
3) THE PRELIMINARY UNIFYING ROLE OF NAVIER-STOKES EQUATIONS OF THE SUBSTRATUM MATERIAL FLUID FOR  GRAVITATION AND ELECTROMAGNETISM  WHICH ALLOWS FOR THE EXISTENCE OF NEW ELECTROMAGNETIC PROPULSION FOR TRANSPORTATIONS. 

 IT IS ALSO SPECULATED  HOW BY CHANGING THE PERCEPTION OF MATERIAL REALITY FROM A SINGLE LAYER (OR FREQUENCY) OF THE STANDARD ABOVE FREE AND PERMANENT TRIAD OF PARTICLES TO AT LEAST A DOUBLE LAYER (OR FREQUENCIES) PHYSICAL REALITY WITH BOTH THE STANDARD TRIAD OF FREE AND PERMANENT PARTICLES BUT ALSO MICRO-TRIAD  OF FREE AND PERMANENT PARTICLES WE COULD DO THE NEXT:
A) REFORMULATE EQUATIONS OF GRAVITATION WHICH INCLUDE THOSE OF I. NEWTON AND ARE MORE EXACT AND PHYSICALLY MEANINGFUL AND REALISTIC THAN THOSE OF A. EINSTEIN. 
B) REFORMULATE AND PROVE AGAIN THE SPECIAL RELATIVITY FORMULAE AS A KIND OF "LINEARIZED WAVED INERTIA" OF E.G. AN ELECTRON ON THE SUBSTRATUM 2ND LAYER PHYSICAL REALITY, BUT UNDER TOTALLY DIFFERENT AXIOMS THAT DO NOT INVOLVE THAT NOTHING GOES FASTER THAN LIGHT.
C) REFORMULATE NON-LINEAR EQUATIONS FOR THE CLASSICAL ELECTROMAGNETISM WHICH INVOLVE THOUGH MAGNITUDES OF GRAVITATION TOO, FOR  LARGE SCALE PHENOMENA E.G. SOLAR SYSTEM SCALE PHENOMENA . THE CLASSICAL ELECTROMAGNETISM IS ONLY THE LINEAR COUPLING OF THE ELECTROMAGNETIC FIELD WHICH IS MADE FROM THE MICRO-TRIAD OF MICRO-PROTONS MICRO-NEUTRONS AND MICRO-ELECTRONS, WITH THE MATTER OF ELECTRONS/PROTONS/NEUTRONS AND IS ACCEPTABLE APPROXIMATELY CORRECT AT SMALL LABORATORY SCALE.  
D) AFTER THE JOIN REFORMULATION OF CLASSICAL GRAVITATION AND CLASSICAL ELECTROMAGNETISM IN THE NEXT DECADES PREDICT  THE EXISTENCE OF ELECTROMAGNETIC DEVICES THAT MAY EXTRACT RENEWABLE SOLAR ENERGY STORED IN THE GRAVITATIONAL FIELD (FREE ENERGY). AND THE EXISTENCE OF ELECTROMAGNETIC PROPULSION FLYING VEHICLES IN VARIOUS SHAPES, INCLUDING DISC-SHAPES, THAT MAY USE THE ABOVE ENERGY FOR FLYING .
E) DERIVE THE SCHRODINGER WAVE MECHANICS OR THE EQUIVALENT HEISENBERG MATRIX MECHANICS FROM A LINEAR COUPLING OF THE  SUBSTRATUM  LAYER NEUTRAL FLUID OF MICRO-TRIAD OF FREE AND PERMANENT PARTICLES (CALLED ERRONEOUSLY QUANTUM VACUUM) OR GRAVITATIONAL FIELD WITH THE MATTER OF ELECTRONS/PROTONS/NEUTRONS. 

IN SUMMARY MORE THAN 80% THE CONTENT OF THE CURRENT WORKS IS TO CHANGE DEEPLY AND IN A PROFOUND WAY OUR QUALITATIVE PERCEPTIONS ABOUT THE PHYSICAL REALITY WHICH CAN LEAD IN  THE FUTURE DECADES TO A MORE DETAILED  UNIFIED QUANTITATIVE APPROACH TO GRAVITATION AND ELECTROMAGNETISM. IN LESS THAN 20% OF THE SPECULATIONS, THE ONLY QUANTITATIVE SET OF FORMULAE (THOSE OF NAVIER-STOKES) THAT ARE INTRODUCED ARE ONLY A PRELIMINARY STEP THAT CAN BE DONE IN RATHER EASIER WAY FOR THIS UNIFICATION, AND HAS APPLICATIONS MAINLY TO LARGER SCALE PHENOMENA E.G.  SOLAR SYSTEM SCALE GRAVITATION AND ELECTROMAGNETISM.

We write here the energy conservation for a small   conical electro- magnetised aether whirl or tornado, where aether heat is extracted (aether temperature proportional to the scalar gravitostatic potential φ ) and converted to aether charge acceleration (E electric field) and aether charge rotation B or magnetic field. 

Such equations CANNOT BE DERIVED FROM THE MAXWELL'S EQUATIONS AND THE CLASSICAL EQUATIONS OF GRAVITATION (NEWTON'S OR EINSTEIN'S).

The relevant form, of Navier-Stokes equations, of Newtonian, isotropic, compressible fluids is

Compressible flow of Newtonian fluids

There are some phenomena that are closely linked with fluid compressibility. One of the obvious examples is compression waves (sound in air and aether-sound in aether). Description of such phenomena requires more general presentation of the Navier–Stokes equation that takes into account fluid compressibility. If viscosity is assumed a constant, one additional term appears, as shown here:^[1][2]

where  is the second viscosity.

1. [1]  Landau & Lifshitz (1987) pp. 44–45.
2. Jump up[2] Batchelor (1967) pp. 147 & 154.

These equations are the standard for a whirl from fluid dynamics from the Navier-Stokes equations, that all academic physicists know,  so there is  no mystery at all. The key to correspond known magnitudes from electromagnetism and gravitation to the fluid dynamic magnitudes are as in the published paper of the Lancaster lecture, or as in post 1.

We  should involve also the equation 

Where:

•  = Pressure
•  = Temperature
•  = Gas constant for the specific gas 

 ρ is the density

The involved field magnitudes are:

φ gravitostatic scalar potential

Α Vector electromagnetic potential

a Scalar electromagnetic potential

Macroscopic geometric parameters of the whirl

E electric field

B magnetic field. 

New electromagnetic and gravitational constants in the equations.

Derived magnitudes

Extracted power as energy per time unit.

These equations is conjectured to apply to most of the free-energy electromagnetic devices.

We present here a very well known solution to the Navier-Stokes equations of Newtonian-isotropic compressible fluids, of a whirl (small tornado) motion. This can be a solution both to neutral aether (a form of dynamic gravity) or to the electromagnetised aether (a more correct form of the electromagnetic field e.g. of Rodin's coil). 
See http://en.wikipedia.org/wiki/Navier_Stokes

BUT we must point out that these equations maybe for example the whirl of Rodin coil, but it is not what we really want for a general whirl that produces free-energy. And the reason is that the equation below are of a symmetric whirl, and non-isothermic   where no extraction of heat is made from the fluid. Instead the temperature of the fluid increases due to friction. What we really need is a modification of the equations below, so that heat is extracted from the fluid and converted to extra kinetic energy of the fluid (much like equations of atmospheric tornados).
In other words the flow is not isothermal, or isentropic or barotropic. 

A three-dimensional steady-state vortex solution

Some of the flow lines along a Hopf fibration.

A nice steady-state example with no singularities comes from considering the flow along the lines of a Hopf fibration. Let r be a constant radius to the inner coil. One set of solutions is given by:

for arbitrary constants A and B. This is a solution in a non-viscous gas (compressible fluid) whose density, velocities and pressure goes to zero far from the origin. (Note this is not a solution to the Clay Millennium problem because that refers to incompressible fluids where  is a constant, neither does it deal with the uniqueness of the Navier–Stokes equations with respect to any turbulence properties.) It is also worth pointing out that the components of the velocity vector are exactly those from the Pythagorean quadruple parametrization. Other choices of density and pressure are possible with the same velocity field:

See also a relevant video (which applies is to the aggregate of galaxies and stars rather that to the local aether field).

http://www.youtube.com/watch?v=EKtevjrZOGs

The next work describes a vortex motion of tornados that do extract thermal energy from the atmospheric fluid, and thus closer to the case of the (aether) field vortex motions in free energy.

http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19700032427.pdf

Also here are classical models of the tornadoes vortex motion.

The Rankine model, the Burgers-Rott vortex model, and the Sullivan vortex model

http://www.kilty.com/pdfs/models.pdf

Note however that tornados models that the density is constant (incompressible flow) would not be of much interest, as we are interested for thermal energy extraction by decompression. 

See also the thesis of JIANJUN XIA 

http://wvuscholar.wvu.edu:8881//exlibris/dtl/d3_1/apache_media/L2V4bGlicmlzL2R0bC9kM18xL2FwYWNoZV9tZWRpYS82MDc0.pdf


HEAT EXTRACTION VORTEX

As far as I know there have not been formulated in simple equations a steady curve-linear conical-like vortex motion of a compressible  fluid (e.g. air) with temperature gradient along the curve-linear conical axis, where there is detonation or pressure decrease, from the narrow diameter of the  curve-linear cone to its wide diameter , at the cost of  heat of the fluid, which sustains the vortex motion. (Heat-extraction vortex). But if such a formulation would ever be given then this would be a quantitative mathematical model for "free-energy" devices. Of course in the case of aether, this "free-energy" would be nothing else than the aether heat which is synonymous to the gravitational potential energy, which surprisingly for the perceptions of classical Newtonian gravitostatics is mainly not heat from matter, but heat from the infrared solar radiation stored in the aether gravitational field as gravitational potential energy. (See posts 2.7, 2.8)