Orthonormal Field Layers

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ORTHONORMAL FIELD LAYERS     In a substantially large region of the field devoid of field objects, the field is random in all respects. The presence of objects within the field give the field a specialized order, which can affect objects in this region.
    For example, once a charged spiral (aka: quark) has formed, its entire orbital plane, even at great distance away from it, will be affected. This is true for any other charged ISS which happens to randomly pop up in the same layer locally coincident to this plane; the layer itself becoming a verdant field of spiral interactivity, where like charged ISSs drift through and across the layer, keeping themselves at a distance from each other.
    As convention, two or more ISSs qualify as being like to each other, if they have the same spiral direction and their axes parallel or nearly parallel to each other, or in the least, their axes falling within forty five degrees of each other.
    Within these parameters, ISSs whose axes though perhaps not perfectly parallel to each other, will progressively become more parallel, collectively defining the functional layer to which they belong.
    Unlike charged ISSs, whose spiral directions are flipped opposite, which become generated in this layer, will be drawn to any one charged ISS within the group of like charged ISSs, and undergo mutual dissociation with it.
    As the result of this extinction between dissimilar charged ISSs, two waves will be released, which then travel almost exclusively through this layer, making the layer an active playground for these waves, with the greater possibility that more charged ISSs and even dual-wave radials may spontaneously arise.
    If a large number of positive charged ISSs come into existence within a finite region of the field, all within this layer, they will tend to spread out evenly throughout that layer because of radial repulsion.
    In the following examples and discussion, these following conventions will be adhered:
    (a) The frame of reference of choice will be a left-hand Cartesian coordinate system:

(b) The X-layer is assigned the quantum chromodynamic colors red and cyan, the Y-layer is assigned the quantum dynamic colors green and magenta and the Z-layer is assigned the quantum chromodynamic colors blue and yellow: (c) All spiral configurations whose NORTH poles are directed in the positive direction are classed as positive configurations assigned the respective colors red, green and blue. All spiral configurations with their SOUTH poles pointing in the positive direction are classed as negative configurations and assigned the respective colors cyan, magenta and yellow.

The illustration on the right summarizes these relationships. In this illustration, the X-axis is horizontal, the Y-axis goes into the paper and the Z-axis goes upward to the zenith.
If a large number of negative charged ISSs (magenta) occur on either side of the positive layer, collecting on the negative layer (magenta), they will evenly spread out because of their mutual radial repulsion.

    This can also happen on the opposite side of the positive layer, resulting in a series of alternating positive and negative X-layers, ad infinitum throughout the field. This is called a family of X-layers. This also happens with both the family of Y-layers and Z-layers, each family containing both positive and negative layers.
    Any positive and negative charged ISSs on adjacent layers which might come in close proximity with each other, because the radial repulsion acting independently on each layer respectively, will experience axial repulsion, and will be unable to cross over to an adjacent layers.
    Charged ISSs generated at canted acute angles will tend to align themselves to the greater body of the layer orientation, provided their axis is directed the same. Two charged ISSs with their axes parallel, but reversed north to south and south to north, are not considered to be at an acute angle to each other, but 180 degrees obtuse.
    Charged ISSs generated between layers, though there is no line of demarcation, can be drawn into a layer of opposite charge, because of radial attraction of the greater body of charged ISSs of opposite charge belonging to that layer and by canted charged ISSs of opposite charge merging into the layer. When this happens, they will be drawn into a charged ISS belonging to that layer (thus being of opposite charge to the charged ISS in point) and undergo dissociation, each releasing a simple wave back into the field.   Since wandering charged ISSs will always be generally outnumbered, the purity of the layer's charge, by and large will be maintained.
    Charged ISSs oriented orthogonal to the body of charged ISSs of a layer will retain their orientation, because of the tendency of orthogonal charged ISSs to be driven into orthogonal orientation. In other words, charged ISSs at obtuse angles, rather than acute, will tend to be driven to the perpendicular. From this, one can understand why the field comprises no more nor less than three families of orthogonal layers, within each, layers of alternating charge.
    If a sufficient number of like charged ISSs associate themselves together, thus describing a layer, and many such layers manifest, though slightly different in orientation, equivalently charged layers will merge together, increasing the density of like charged ISSs within those layers.

FIELD POLARIZATION

    Though more than three sets of orthogonal family of layers is geometrically possible, within a finite region, in this model, sets falling within forty-five degrees of another set would have a tendency to merge as one set. Within an infinite field, such orientation becomes meaningless; the orientation of one set of three orthogonal families being indeterminate to the orientation of another set at extreme distances beyond observation.
    In their generation, any ISSs canted in some other direction to an already polarized field, will eventually conform their individual orientations to the field as a whole, or more specifically to a given layer of ISSs. Any reversed charged ISSs in this layer will eventually undergo annihilation, progressively eliminating them from the layer. It is a never ending process, as new ISSs spontaneously appear, some reversed, some not. Gradually, each layer becomes more saturated with like charged ISSs which repel each other. Adjacent alternate layers also become more saturated with like charged ISSs reversed. This saturation of layers with reversed charged ISSs causes alternate layers to repel, thus keeping the layers distinctly separated.
    For any finite and volumetric region of the field, there should be three sets of parallel layers; each set orthogonal to the other, and within each set of parallel layers, the polarities of the layers are alternate from one another, thus causing the mutual repulsion of all layers within a set.
    Eventually though, one should expect the appearance of adjacent layers of opposite polarity, resulting in a virtually infinite sandwich of layers, alternating in polarity, throughout the universe.
    Mathematically speaking, at any discrete location within the universe, these layers will be orthogonal, though globally, the same would not be true. This relationship is illustrated in this drawing by M.C. Escher right.
    I would expect from an astronomical standpoint that individual galaxies would be uniformly the same throughout, giving us matter and anti-matter galaxies.

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*charge: This is one of the first, perhaps presumptuous uses of the word charge, elucidating the potential of a correlation, in the least, of gross impulses working on certain field objects, those in particular which wind up the field, principally spirals. Under the threat of stepping into the muck and mire of proving such, I will generally use the word charge to convey a better notion as to how spiral configurations behave. [ref.]