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FIELD EXERTION
A field stress cause by the simultaneous participation of opposing influences.

  The Induced Displacement Due to Interchange, abbreviated IDDI, is an instantaneous lateral displacement of surfaces as they adjust their position and curvature to the outward migrating ring of non-definity.
    The cause of this displacement, a movement above and beyond the normal motion of the surface is a matter of conflicting geometries at the exact location of the migrating ring of non-definity. Here, as the ring moves outward to meet the onrushing surfaces, two possible and mutually exclusive conditions are seen to exist.
    In the first illustration to the right we see a section of this ring where the upper surface S1 is moving downward and the the lower surfaces S2 is moving upward.  In the interior region circumscribed by the ring, both surfaces have passed through each other, each becoming a composite of each other.  This is not shown, but by going here, you can see its representation and explanation in two dimensions.

    The following illustration in two dimensions, shows a yellow zone denoting the extra distance surface two must travel over and beyond what it would otherwise travel in order that both surfaces remain coplanar at O".
    Since all motion motion is discontinuous, rather than smooth, IDDI is not a smooth process affecting the exterior regions of a surface, but rather a discontinuous set of displacements of variable magnitudes occurring in sequence, such that magnitude dn-1 occurs at instant tn-1 causing an instantaneous IDDI, then another at tn+1 of magnitude dn+1.
    Also imagine a similar occurrence of IDDI produced by another ring of non-definity somewhere else but concurrent to the same two surfaces at t0, of magnitude d0, where t0 arbitrarily falls between tn-1 and tn+1.
    If this happens, then essentially, we have three discrete displacements, each occurring instantaneously and without duration, in this order: dn-1, d0 and dn+1.

    Now any asynchronous interweaving of these moments which are based on independent processes cannot be assured ad infinitum since there is no means, such as a common clock, which might maintain the "time rate" of two independent sequences, nor is there any guarantee that within a given sequence alone the occurrence of these events will remain constant, uniform and regular. Thus, on rare moments, we might expect the exact concurrence of two separate displacements, even though both are instantaneous and without duration (discrete).
    In other words, over a period of many displacements dn and dn , each caused by independent interchange processes, there will be many instants where both occur simultaneously together.
    In the case of interchange occurring at two places along the same line or surface, the common exterior region belonging to both points or lines of non-definity, which are migrating towards each other, is subject to their original motions in free space as well as IDDI.
    If the IDDIs are in opposition (as shown following) their original motions will be offset, causing the disappearance of the points or lines of non-definity and then the subsequent cessation of interchange and all of its resultant effects.

    Accordingly, no IDDIs will occur between these two waves causing interchange in the first place. In short, within the zones common to two waves undergoing interchange, commonly corresponding to their exterior regions, if IDDIs are in opposition, then all IDDIs cease to exist.
    In the case that IDDI is causing two surfaces to head towards each other and where both surfaces are participating in this combined action of IDDI, the combined magnitude of this displacement for participating surfaces cannot exceed the distance between two surfaces at the commencement of interchange for any given position where interchange, and hence IDDI, are occurring. Depending upon where interchange is occurring, and the original distance between surfaces, determines this maximum magnitude. Since both surfaces will move towards each other, in order to cover this distance, their combined IDDIs, generally but not necessarily equivalent, will equal this maximum magnitude.

    Since there is no mechanism which might cause the attenuation of IDDI in free space, it is undiminished by distance in free space. Since there is no inertial mechanisms nor mechanism of any kind which might delay the lateral translation of surfaces in free space, IDDI is instantaneous; occurring everywhere throughout the exterior regions at the same time. In free space, at an infinite distance away from the source of IDDI, its magnitude is undiminished and its occurrence is simultaneous and instantaneous.
    Bear in mind though, that within a verdant field of surfaces stretching infinitely away from any given source of IDDI, each and every generated IDDI will encounter many other IDDIs neutralizing it, if they occur simultaneously to it. Thus, farther and farther away from the source, the possibility that a given IDDI emanating from this source might act, diminishes. Presumably, at an infinite distance, all IDDIs may diminish to nothing.

    Given, say two radial configurations at some distance apart, virtually everywhere in the field their respective radials intermingle, cutting through each other at various angles, even at infinite distances away. Magnifying the microcosmic crossing or cutting through of two radials, actually a line of intersection, nothing can be expected to happen, since surfaces do not interact with each other where they intersect. But who is to say that these radials emerging from each radial configuration are perfectly and nearly flat? Such would not even be the case with ambient field surfaces, particularly in regions where auto-convolution is occurring: flatness being a unique condition, as would be perfect rest.
    One can only imagine, that everywhere throughout the field, surfaces would normally be irregularly wavy, with few exceptions, and in constant motion; one of the more common motions being the bumping of surfaces into each other, which would be most likely to occur near where surfaces are the closest: where they intersect.
    The irregular waviness of surfaces is similar to texture, in that there is a wide variety in the size of waves causing this texture, which are part of the field noise.
    In close proximity to a line of intersection, because of this motion, both surfaces might collide, and if they do, the resultant IDDI will find itself translated along respective radials to the respective radial centers as a brief displacement; finite in both its magnitude and duration. No matter how the radials might be bent or twisted, IDDI can make this distance unattenuated to each radial core: the radial core being a fuzzy zone concentric to the radial center; a place where most radials associated with this configuration pass through, though not all, particularly those which happen to be entering or exiting the configuration. IDDI can be represented by a finite vector directed orthogonal to the surface, being that it is always the lateral translation of the surface. Of course this is happening everywhere surrounding both radials, designated M and N, resulting in impulses of a wide variety of magnitudes and directions.

    Since both radial centers are a collection of individual surfaces cohesively held together, the movement of one affects the others and vice versa. From this it is reasonable to think that the affect of this displacement of one surface to the group is product of the magnitude of this displacement times the reciprocal of the number of surfaces belonging to the group; each and every displacement having an effect on the group, though quite small.
    What we have then is two radial configurations, M and N, some distance apart, mutually imposing discrete and different displacements on each other, causing these two radial configurations to achieve specific positions relative to each other, as the net effect of all displacements translated by all surfaces which are associated with the two radial configurations.
    Not only then must one consider then the direct line of action between two surfaces serving as radials between two radial configurations, but as well take into account secondary surfaces, which are not radials, joining two such radials.
    Illustrating this intermediate surface behavior are shown radial centers M and N with respective radials m and n intersecting at X. Interchange occurring around point X results in IDDIs denoted as x at M and N respectively. Passing through both radials and intersecting at points A and B is a third and intermediate surface (p), which because of IDDIs at A and B will complement IDDIs generated at X; IDDIs at all three locations, X, A and B causing triangle AXB to collapse so-to-speak. In other words, IDDIs occurring in the acute regions between these three surfaces will tend to cause them become more parallel.
    Now already we know that IDDIs around X will manifest as discrete impulse at each M and N and directed as shown orthogonal to m and n. It is also apparent that if M and N are not allowed to move, being held at some fixed distance, surface p will tend to retain is original slope since IDDIs produced at A and B are in opposition. This is a general statement respecting the average of all conditions within an isotropic field. In this example the magnitude produced at B should exceed those produced at A since B embraces a larger acute angle between n and p than between m and p at A. Actually, in each specific case, because and due to these opposing IDDIs relative to secondary surfaces, the attitudes of the intermediate surfaces will change, though overall and in general, the sum of all IDDIs should be equivalently in opposition, the resulting in a net zero change.
IDDIs produced in the acute angular regions around the lines of intersection A and B and facing away from M and N have no affect of M and N. Also, the acute zone at A facing M, but whose intermediate surface fails to pass through either M or N, has no affect at M.
    The last remaining acute zone, at B and facing N, does generate IDDIs which can be translated to N along n. These are denoted as b and are directed orthogonal to n at N. Again the magnitude of these IDDIs varies as to the distance between p and n at their origin of commencement near B.
    As a general rule, for every intermediate surface cutting given radials, a new set IDDIs come into play affecting one or the other of the radial cores, whose magnitude and frequency of occurrence is commensurate to the field average as a whole.
 


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