Spectrum of Development

The Euler Identity is generally recognised as the most beautiful theorem in Mathematics.  For example the well known "populariser" of Mathematics, Keith Devlin has stated:  ""like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence". So when it comes to the Euler Identity, mathematicians somehow realise that they are dealing with a relationship that greatly transcends their rational ability to comprehend its symbols. Euler's Identity (or Equation) is generally given in the form, e^iπ + 1 = 0. e here refers to Euler's number which is the base of the natural logarithms system. i is the imaginary unit that represents the square root of – 1. π (or pi) represents the ratio of the circumference of a circle to its line diameter. So along with 1 and 0, which are also included in the si...

Gradually, I realised that Band 4 (as I identify it) would not directly lead to the Spiritual Marriage that I had anticipated. Rather it gave way to a new series of stages that I was to later identify with Band 5. Of course experience can never be exclusively identified with just one Band (however prominent it may be in experience)! So rather than expecting the completion of Band 4 before proper development with respect to the radial stages could unfold, I began to accept that it would remain continuous with the "descent" levels of Band 5 (that acted in a complementary fashion to the corresponding "ascent" levels of Band 3). Whereas the 3 levels of the "ascent" (with respect to Band 3) were associated with the movement away from the firm ground of the linear levels in a transcendent spiritual direction towards emptiness, now the corresponding 3 levels of the "descent" (with respect to Band 5) would be associated with the corresponding movem...

Just as Band 2 (in my account) relates to the specialisation of (linear) rational type understanding, Band 4 is designed to relate to the corresponding specialisation of (circular) intuitive type appreciation After Band 3 had culminated in a transitional crisis (in mid 1996), I then looked forward to - what I imagined - would represent a relatively short period of adjustment in the unfolding of Band 4.  I interpreted this band then as acquiring appropriate balance with respect to contemplative experience in terms of both its transcendent and immanent directions. Then when appropriate adjustment had taken place, I expected that the radial bands would emerge, entailing the gradual interpenetration of both analytic and holistic type understanding (intellectually, emotionally and spiritually). And just as the earlier bands had been divided into 3 major levels, I could see that this would also be true of Band 4. So the first level of Band 4 relates to t...

I do not remember many details of my life from the early to mid 90's. However in general terms it proved to a period of growing stress, that I only began to properly understand much later. I was aware however that my development had taken a pronounced vertical character, with the continual unfolding of more advanced spiritual states and structures. However as I ascended "higher" in a transcendent direction ever closer to pure spiritual intuition (without phenomenal structure), this was complemented by the opposite descent with respect to sensation into the physical realms of the unconscious (repressed from earliest childhood). Thus increasingly my psychic energy was given over to this dynamic interaction as between "higher" and "lower" (unconscious) bands, as attempted integration of the levels of these bands continued. I was becoming aware however of a growing problem in that the (conscious) middle levels were being continually bypassed in th...

As I have stated, my attempt to journey through this "highest" level (i.e. Band 3, Level 3) of transcendent spiritual development, was associated with the corresponding exposure to the "lowest" level of primitive instinctive response. In this way, I was to learn the direct complementary nature as between the "highest" level (in transcendent spiritual terms) and the corresponding "lowest" level (in an immanent physical manner). In normal infant development, we are conditioned to continually repress earliest primitive responses as the price for enabling the successful differentiation of conscious structures. This is still very much the case even for development that would be considered healthy and successful from a conventional social perspective! Though the unconscious is necessarily involved with such development, it is mainly in a reduced manner, whereby it serves the dominant need of conscious type understanding. Thus true integration...

As the 90's slowly unfolded, I realised that I was becoming subject to a persistent form of stress that was directly related to the nature of personal development that was now unfolding. Though to some extent a correcting immanent balance had been introduced, the transcendent direction was still very much dominant. And the continual attempt to deal with any form of undue attachment - which my continued  contemplative development required - of either a "real" (conscious) or "imaginary" (indirect conscious) nature was leading to considerable strain. It seemed, that through the desire for an ever purer spiritual experience, I was now required to stifle ever ounce of self expression. First this had related mainly to the intellectual, then later to the emotional and now finally directly to the volitional aspect of personality. So in my own personal quest to attain the summit of spiritual Mount Everest, the physical body was becoming increasingly sensitive to th...

All the number types - binary, prime, natural, integers, rational, (algebraic) irrational, transcendental, complex and transfinite (in both positive and negative and real and imaginary forms) have well defined meanings from the conventional mathematical perspective (in the accepted analytic sense). Equally they have (unrecognised) holistic meanings with an intimate relevance for the scientific integral understanding of all possible stages of development. I will just briefly clarify the alternative holistic meaning of the number types (which was the subject of " The Number Paradigms "). We start with the binary numbers 1 and 0. In holistic terms these numbers are ultimately identical representing the equality of form (1) and emptiness (0). Development commences from the position where they are identical in a totally confused manner (i.e. where neither differentiation nor integration of structures has yet taken place). So the journey is from this starting confused state...