**(c) Robert Neil Boyd**

Recall that the coils made by Rodin and Naudin were made along these lines, and exhibited a magnetic field with torsion, although some refused to believe it. Also, flux coupling in a C-H coil will not be as efficient as in, say, a Tesla-wound coil. But we make C-H coils with an entirely different objective in mind: to cause curvatures and compressions of the 3D space. In terms of the new specially constructed materials, we want to cause Hopf flows of the electrons interacting with the material, so that they will enter the 4th physical dimension, thus vanishing from our direct comprehension, apparent as a loss of numbers of electrons, which should be measurable as reduced power, current, and/or voltage, relative to the original statistics of the system.

Or, so that they may arise from the 4th physical dimension and appear "ab initio" in our 3-space, apparent as addition quantities of electrons, perhaps more than the number originally involved with the system, which would be measurable as increased power, current, and/or voltage, relative to the measurements we started with.

Additionally, the Hopf flow can cause hyperdimensional (4D) effects involving space due to the vector force that is generated along the normal axis of the array of nested tori, which comprise our Clifford-Hopf coil. Arrays of arrays of C-H coils can be arranged so that there are many additive vectors. Ultimately, I think it is possible to fold space with such an array of arrays. Ark has been working on the math for this. I understand it instinctually, before the math. (This is different than the so-called intuitive understanding. It has teeth. It's alive and kicking, rather than being some vague notion or fog of an idea.)

(That's the way it usually works for me. I understand it instinctively, then I go about seeing if I can find the correct mathematical description. There have been several occasions where the mathematical description of that which was directly perceived by my "instinct" was not to be found. In other words, there are many systems, some of them quite simple, which are not describable in mathematical terms. Nevertheless, my "instinct" is unerring, to this point. It is a sense of being "guided by the nose" to something which works, whether it is mathematically describable or not.)

A word of caution regarding arrays of arrays of C-H coils. My instinct shows me that if these are not operated carefully by stages, a catastrophic avalanche of electrons could result, continuing until the combination of fried circuitry, and the vacuum compensation mechanism, act to dampen the out-flow.

I haven't studied the Hopf flows in Pendry structures enough to develop much of an instinct about the behaviors of hyperdimensional materials.