TOWARD A NEW ELECTROMAGNETICS
PART III:  CLARIFYING THE VECTOR CONCEPT

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-- THE SHADOW VECTOR --

           Note that this spatial vector represents , that is,

(18)

but cannot be a force (mass system) vector.  It can only exist as an ordered pattern in the virtual flux between two separated points of the vacuum;  that is, as an ordered pattern in the virtual state.  Literally, exists only as a tiny bit of order existing in great disorder.
           In other words, the present EM theory is incorrect in stating that

(19)

in vacuum in the absence of an observable spinning charged particle, since

(20)

           The actual existence of may be visualized in terms of successive differentials of , broken into differentials so small that, observably, each little differential's mass component m has become virtual, so that

(21)

where subscript m stands for mass, subscript v for virtual, and observably

(22)

but, in the absence of a spinning charged particle,

(23)

since the components remain individually separated.  That is, in macro-time a SHADOW force vector exists, made of microscopically ordered BUT UNJOINED (unintegrated) "virtual state" vector differentials of what would be an observable mass system force vector if integrated.
           Thus, the "-vector" that exists in vacuum is a "shadow" vector as shown in figure 12.

Figure 12.  A "shadow vector"

          We say that such a previous mass system vector, broken into ordered but unjoined virtual vectors by the absenting of all mass, is a SHADOW VECTOR, and we label it with a subscript vm, to represent "virtual mass" system. To the macro observer, this is the kind of "vector" that exists in vacuuo.
            Note that, observably, the shadow vector merely represents a special ordering in Ñf.  It is NOT an OBSERVABLE (mass system) vector, but it IS an ordered series of consecutive virtual vectors.
          With each virtual bit vector, a virtual time exists as well, and these "virtual time bits" are also ordered consecutively (in macrotime).
          I point out that any observable vector must be finite, and so it must have a finite magnitude (finite length).  In the simplest case, this length ΔL is related to a Δt by

ΔL = cΔt

(24)

What I am saying is that ANY observable spatial vector is actually a spatiotemporal vector, and the MAGNITUDE of any vector is related to TIME (to the existence of that vector in time) at the most fundamental level.  Suffice it to say that, if the fundamental quantum level (Δt) aspect of a vector is interfered with, then the MAGNITUDE of the vector is interfered with.24  That is, if we can make a time wave, we can change or affect ANY vector's magnitude, including the magnitude of mass system vectors and charged mass system vectors.  Such a "time wave" can be made easily, and it has been.

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