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The hexagonal lattice structure reflects the Skyrmion elements which I propose comprise it.
The liquid material trapped in amongst the coronal magnetic fields is liquid bubble surface material it is unstable due to the chemical reactions between the inter slating materials changing phase.
America is a strange phenomenon of mother Nature. It is getting richer and richer with each passing day, with ever increasing pace, and yet it is the most bankrupt country in the entire world! How is it possible?
To a mind trained in orthodox mathematics, it is like stating
1 + 2 + 4 + 8 + 16 + … + 2^n + … = -1,
i.e. utter nonsense.
Nevertheless, can we make sense of the assertion that this sum of rapidly growing positive numbers may, and will result in a negative value?
To a mind freed from orthodox thinking, the answer is yes - we can make perfect sense of it: What does it feel like to think out of the box?
On the Notion of Fair Games and Bernoulli’s Concept of Moral Expectation
The paper was delivered at the 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering held in Waterloo, Canada.
Watch and learn?
But do not be fooled by the model. We know nothing John Snow!
The rotation of space itself , propagating in and through space is a vortex phenomenon we appreciate as magnetism.
Plasma is not a superheated gas, but a model of the aether. We see it when it vibrates at the frequency and amplitudes of visible light!
But don't be trapped by the word vibration! It is a model of the concept of frequency! We equally could use the concept of rotation! Better still is the general concept of Trochoidal patterns!
The frequency , amplitude and progression of these trochoids is our experience of space, vortices, " field effects" particle or corpuscular distinctions etc.
Another insightful model is the theory of musical notes ! These distinct sounds have durations that enable the mimicry of particulate matter to the fluidity of plasmas. These notes are trochoidal pressure patterns in space, in particular the medium we cal gaseous / air.
Magnetism is a fundamental trochoidal patterning in the concept of space whatever model of space we devise, including Space-Time!
Einsteins model of the Aether was not appreciated by his peers. Tesla in particular heabpvily criticised it. This mathematical modelling is justly criticised, but unjustly discarded by some
The Grassmanns represent a pivotal crossing point when the Geist of nature was encoded in a crystal format. The combinatorial basis of this point of view is little understood even by our greatest scientists! The role of the Pythagorean Philosophy had evolved into the deification of a dead and decaying subject called Mathematics.
Hermann Grassmann predicted he death ofvMathematics as a subject . It is long overdue!
Xxx
Ken speaking very clearly
The Faraday sphere of influence concept now called field ismodelled by a space substance vortex, or aether vortex if you like .
Counter space is a trchnical term for the exponent of the exponential function . Technically you count the power term required to model the observed effect. Whatever you use to count is a spatial object and so you can associate a space to a power of the exponential.
It is only a model, manipulating metricaeasures by topology . Like the period in a Fourier transform , it is actually a spatial form, not a " time". The velocity at which a phenomenon transverses the form is defined by a ratio we call time...
In a sense a length is more accessible for us Combinatorially . On top ofbthatvwe can construct frequency and amplitude it turns out frequency and amplitude are more distinctive or discrete measures for modelling observed behaviours.
Newton realised that Hookes length of a spring was supersceeded by the concept of acceleration when modelling force behaviours, but you need the Metron to define the concept of acceleration.
Great model but avoid equating to bar magnet , you need 2 interlocking torus flux to do that .
The spark twisted men's philosophical understanding from Gilbert's magnetic theory to the growing cult of electra. Along with the classical Gods these phenomena were given their own separate identity.
Magnetism is not visible at all frequencies. When it is it is called electric rather than rotating or dynamic magnetism. Ampére was the first to coin electro dynamism asa term for magneto dynamics . The circular rotation of a magnetic atmosphere itself formed into a circuit was how he showed magnetism a la Örsted to be a dynamic form of electrification, the act of disturbing the surface of certain materials either by rubbing( Tribology) or by atmospheric intermingling of differing materials., especially in the presence of moisture( or a similar liquid) .
The work of Volta categorised these interactions.
There arec2 magnetic dynamics, but we are trained to think of only one , even though we retain 2 polarities!!
The explanation given here is ac2 fluid explanation . Many have characterised Franklins experimental model as being a one fluid theory! It is clear that some misrepresentation has occurred in academic circles. Certainly Volta was roundly criticised by Galvani for positing 2 fluids, 2 forces associated with these , one attractive the other repulsive. He eventually replaced one of the fluids by an attractive force in his theory.
The genesis of this idea actually is due to Oliver Heaviside. Where Catt takes credit is in realising the ramifications for modern electronic materials and circuits. . Actually the transmission line problem, which Heaviside solved for the telegraph companies in America was presented by the transatlantic cable project. The eventual solution to the transmission of a transatlantic signal relied on many insights chief ofbwhichnwas that the electric current idea was a fallacy. Transmission lines are based on wave transmission!
On land eddingtonnwas proving electric current did not flow very far! This is because it does not flow! Tesla is the one who understood the wave model of transmission .
Do not be misled by the resistance explanation for AC current! AC current is a misnomer . It does not flow, it oscillates.. It was this oscillation or undulation that was used in solving the transatlantic cable problem. .
The wave , undulation or oscillation model was obscured by ignorance and commercial patent and rivalry. But essentially it was known by Örsted that a rotating magnetic atmosphere came into and out of an induced wire ( a conductor). . To keep the rotating atmosphere attached to the wire a high frequency waive of great amplitude was necessary. Also the correct choice of materials supported the wave retention or guidance.
The way electricity runs inna wire deals with this issue in detail.
We are not modelling a current but a vorticular wave that is guided by an inductive material called a conductor! The insulator is really the material withinnwhichnthe wave travels , or the air around a conducting wire, a wave guiding wire.
It is a rotating magnetic wave that is reflected at the boundaries of the wave guide material. But it is not just one wave, but two one rotating counter clockwisebtonthe other while propagating in the same direction.
The issue is the voltaic cell . How does it work ?
In my opinion the battery or the voltaic cell is a fractal pattern of vortices. . The atmospheres within the materials act to produce stable vortices which are guided by inducible materials( conductors) to form around circuits. Involved in the simplest direct current circuit is the induction by wave transmission!
Hertz had demonstrated the existence of waves in space . Some say this was due to Maxwells insight. In fact Helmholtz commissioned Hertz to experiment on his universal differential equation which combined the known behaviours of fluid dynamics around the discovery of vortices . Maxwell is more concerned with the transmission of strain via a network of vortices,
Hertz demonstrated that the differential equations Helmholtz valued had one implication: a stable patter of solutions at differing positions. These were similar to solutions found for diffraction patterns in light and spectroscopy.
The discovery of these nodes of higher and lower parking potentials in space is the discovery of the interaction of the rotating magnetic atmosphere with the surrounding space.
The battery thus, according to the Cattbquestion both conducts or guides a rotating angelic wave and induces a rotating magnetic wave by transmission. This is often called resonance or sympathetic vibration.
Batteries store r generate thes vortice at a level we call chemical interaction . The electron atom model is really not explaining these vortices , rather it replaces them by the atomic model itself! Very much asbKelvin had hoped the vortex had become crucial to explaining molecular structure.
These rotating forms or vortices are now being identified as Skyrmions , vortices in a magnetic flux.
Thermal conduction driving magnetic field production
https://van.physics.illinois.edu/qa/listing.php?id=437
Lodestone is always a better model of magnetic behaviours than a bar magnet. In lodestone the magnetic domains have polarity where the lodestone itself does not. Thus the bar magnet reveals the organised domain structure.
The domains are thus revealed to be planar disc- like regions! Stacked together they form bar magnets , ring magnets, spherical, toroidal magnets , horse shoe magnets etc.
These disc-like planar regions are now called Skyrmions, and they can be any size! The domains form vortex shaped regions. They can take any plane geometrical shape but are approximately circular because of the vortex dynamic.
The Skyrmions correspond to the gyroscopic dielectric vector pattern that Ken wheeler describes . The concept of the vectors following a hyperbolic trajectory with a clock wise or counter clock wise spin and terminating into the centre of the opposite side of the Skyrmion reflects the stacking pattern of different sized Skyrmions . The smaller the Skyrmion the greater its rotational energy .
As in other vortex behaviours smaller more intense vortices can circulate in larger less intense vortices .
The material within which these Skyrmions are formed is critical. The concept of density in materials is misunderstood. Density is a ratio of balanced forces. Thus a better concept description is force or energy density. Objects or materials with greater force density may still not be very viscous! So coal tar is a very viscous but low force density material. The more energy placed into it the less viscous it becomes. If a sudden impact is applied to it it will shatter not because it has melted , but because the frequency and amplitude of the energy imparted is greater than the many planar surface "bonds" can viscously deal with ( that is the Youngs modulus and plasticity deformation limit is breached)
Thus in any material the force or energy density and the viscosity are 2 very important characteristics. The force density is often confusedly called the permeability or permittivity of a material. These oncepts are well defined symbolically but obscure the obvious physicl and observable viscosity and force density behaviours of any material
Rayleighs number provides a scale factor for force / energy density compared to viscosity . This number is meaningless without the attendant table or array of relevant properties to be tied to it.
Similarly the relationship between the emissivity and permittivity in a magnetic material or a material said to carry or be associated with a magnetic field is useless without the attendant properties. Usually these properties are confined to well known materials . The less well known and the plasma of space are only guessed at! Or set to unity!
Leaving aside the numbers as only signifying observable ratios, we may understand the complex behaviour of any lodestone model using these planar vortex ( Skyrmion) concepts . The alignment of these planar vortices is the concept of coherence and the foundation of the Maser and thus laser technologies.
The propagation of these aligned vortices along conducting twisted conductors is often mistakenly described as an electric current. In point of fact it is better described as a standing magnetic wave rotating vortex phenomenon with a huge wavelength and actually composed of alternating or reflected rotating vortices at radio frequencies!
When Volta put forward his atmospheric concept no one could imagine such a fluid behaviour. Instead they preferred Franklins double entry book keeping methodology. Later they subtly changed it to the one fluid concept! Everybody was ok with 2 fluids and a neutral corpuscular base, but later thinkers decided the calculations did not require it, nor did the measurements. Consequently they left out half the conceptual and observable framework!
Later they restored the proton and the neutron in different roles after distilling all the observed phenomena onto a ratio of mass and so called electric field strength into a unit latterly called an electron.
Today we know the electron can be split into at least 3 more fundamental measurements!
This cloud of measurements and distinctions became known as the Fermion Baryon catastrophe!
The concept of a particle was disintegrating into a mist of particles!
The simplest approach to all of this was to restore the 2 fluids, to restore Volta's atmosphere and to enhance the vortex dynamics found in fluids!
Every one of these Fermions and Baryons then describe a particular vortex dynmic.
Finally the old saw about a corpuscle or a wave, a nonsensical debate in the first place, resolves onto fluid dynamical concepts of vortices propagating in a fluid medium.
We do not need to hide behind the Sinus and Cosinus curves when we can now plot the exponential curve gainst the ijk axes and see the modelled vortex dynamic.
Any acute observer of real waves will recognise these vortex barrels rolling in to shore and under the surface of the great ocean. Underneath these " waves" the immense powerful currents flow in snakelike filaments throughout the briny deep!
How much more throughout the endless plasmic space!!
The simplest explanation of the magnetic universe and how the rotational wave/ vortex in the magnetic mode of space or aether can be modelled and studied .
What can we learn about the way" electricity " does not run in a wire but instead is wave guided by inductible materials?
What can we learn about models for magnetic behaviours especially in lattice like structures?
You mentioned Skyrmions can be any size. How do you figure? Do you happen to have an experiment in mind?