
Thank you Matt Watts for nice words and greeting
Lets all who are interesting in this topic create a big list of "Bucking Coils Devices" schematics and data, and than we could make fine analysis from the basic terms like winding geometry to spatial distribution of sclar and vector magnetic fields, and workability of devices.
LETS START FROM THE BEGINING !!Potential is the cornerstone of any force field. Potential exist only in two types – scalar and vectorial.
Spatial derivative of potential form a field vector. At the same time non vectorial force fields does not exist.
Force fields exist at only two types – solenoidal ( Q) and potential (P). Solenoidal is that field at which the divergence (div Q =0 ), potential – at what the rotor (rot P = 0). There are no other possible options as vectorial derivatives are only two. Respectively, stationary force field from potentials φ and A form only two spatial derivative grad φ and rot A. At the same time in a stationary case of divA=0. In a nonstationary case fact of existence of the second spatial derivative of vectorial potential div A ≠ 0, does not changes nothing.
Value of div A is a scalar and to form vectorial value with dimensionality of force in relation to a moving particle may only by means of e·(v/c)· div A. But here the the most important fact is that such combination is extremely important because changes energy of a particle regardless of the direction of its movement. While vector fields – as the method of the description of interaction of particles – change energy of interacting particles only in case of central interactions.
Here, unfortunately, the deviation from an essence of the classical field theory also begins. The classical field theory considers physical fields as perturbations of a certain environment with the given physical properties, distributed as appropriate in the free space.
The speech in it goes about own physical properties of physical fields as independent physical entity.
The main objective of the classical field theory is determination of distribution of physical fields in space on the given distribution of sources (exciters) fields in this space. As you can see here interaction of a field with charges and currents does not figure anywhere. For example expression -q · ∂A / ∂t is not an independent physical field, but it is expression of force of interaction of a dynamic vectorial potential A field with the based electrical charge, which in set with Lorentz force condition for moving electrical charge in a static magnetic field -q · (rot A x v ) form one uniform general expression of forces of interaction of arbitrary magnetic field with arbitrary electrical charges of Fm.
I.e. Fm = - q · (rot A x v) -q · ∂A / ∂t ≡ -q · dA / dt.
The magnetic field is unambiguity characterized by the vectorial potential of a magnetic field A and rot A = B. Also div A ≡ div B ≡ 0.
The dynamic magnetic field also is strictly vortex since calculates from the equation on partial derivatives.
rot rot A - 1 / c² · ∂ ² A / ∂ t ² = 0 integration on closed loops.
So people, all talks about so-called «Lorentz invariance and four vector spaces» are farfetched illiterate rubbish nonsenses pursuing two aims of Main Stream Official «science».
1. To fill up the empty «science» holes in their empty mind and in failured official main stream electromagnetism hypothesis theory. As you well know as much as hypothesis, official «science» "gift", far out from the truth and real nature official «science» is.
There must be only one hypothesis which can be veryfied by anubody and everywhere. That one is: Objective Reality of the Matter. All others hypothesis from 1st to infinity hypothesis must be researched, verified and experimentaly proved. It is only correct way. Other simply dont exist.
2.To hide the electrical longitudinal dielectric waves predicted by Helmholtz and experimentally proved with a success by Nikolai Tesla, by allegedly «Einstain creation» of the uniform theory of electromagnetism. Think about !!
Regards
Radomir (Gladness of the world)