We are devoting our attention here to the diagonal polarities, that bisect in turn the UR and LL and UL and LR quadrants respectively.
In the last entry we demonstrated the remarkable fact, that from the standard analytic perspective, the four diagonal lines (in each of the quadrants) can be shown to represent null lines (= 0).
So we now concern ourselves with the profound holistic mathematical significance of this relationship.
Again, if we focus on the diagonal line in the UR quadrant, we can see once more that its coordinates are given as k(+ 1 + i) where k = 1/√2.
In holistic mathematical terms, 1 and i signify (real) conscious and (imaginary) unconscious aspects respectively. √2. especially symbolises the irrational (representing here the mixture of both real and imaginary (that operate according to distinctive logical notions).
Crucially both real and imaginary parts are equal, which holistically symbolises that both become identical with each other. However in holistic terms this carries a relative meaning, as a situation that can be only approximated but never absolutely attained in experience.
However, when experience becomes extremely refined (with both conscious and unconscious in substantial equilibrium) dynamic interaction as between opposite polarities is so rapid that dualistic phenomena of form scarcely seem to even arise in experience.
In other words, such experience approximates closely the pure nondual state of emptiness (which is nothing in phenomenal terms).
In this way, we are able to provide a fascinating holistic explanation of the equality of emptiness and form (which is the central paradox of all authentic mystical experience). And the key is to appreciate this in a dynamic interactive manner, through understanding emptiness as the limit, to which the refined experience of form ultimately approximates.
And this situation is true of the diagonal lines also in the other quadrants.
However there are two ways of interpreting this approximation to the equality of form and emptiness.
Firstly, we have the mature version where any remaining confusion as between dual and nondual has been greatly unravelled.
Secondly we have the primitive version of earliest childhood, where phenomena of form are still so confused that they cannot yet attain any stability in experience.
And both of these remain related throughout development. So the extent to which the mature aspect can unfold is necessarily with respect to erosion of the remaining confusion of conscious and unconscious aspects, relating to primitive instinctive behaviour.