Thus far, we consider socionics as a set of 16 basic types, a 16 element set, and each person is assigned a single type. Tcaud has extended this to two types, under his so-called "dual-type" theory. While this is a step in the right direction, it isn't going far enough, extending a set to a continuous space. I posit that any persons type may only be accurately expressed by a linear combination of the 16 types, each type acting as a unit vector in the sociospace, just as (0, 0, 1), (1, 0, 0), and (0, 1, 0) do in three dimensions. Thus a type is now expressed as the set of coefficients (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) weighting each type's relative value in the total type. This new type shall be called the "degenerate" type, after the combinate states in quantum mechanics.
Finally we may account for the fluctuating traits that may have once seemed to defy typing
As a future adjunct to this this theory, I hope to express sociotypes in 16 dimensional spherical polar coordinates, as I believe it will reveal a pattern to the underlying structure of the space. This will give credence to mono-type approximation we now use.
This is an exciting new frontier in socionics and I appreciate all comments and thoughts. Even now when applying early iterations of this theory to my friends and family, I feel it portrays a more accurate representation of the fundamental nature of human personality.