April 4th, 2011
Two diagrams from J. W. Nicholas’ 1977 Psience: A General Theory of Existence.
Self-realization of the universe (p59)*. Click for larger version.
“Psience posits four frames of reference [as shown in the figure above], two real and two imaginary. (If it were not for mathematical convention, these might be called the material and immaterial.) One real and one imaginary frame of reference are linear; I call them spaces; their dimensions are of interval. The other two frames are non-linear; I call them fields; their dimensions are of regular recurrence, here called frequence” (p13).
“The real and imaginary frames are formally orthogonal… Thought, spirit, the immaterial or massless in general exist as recurrent pattern in the imaginary field. The imaginary pattern induces its realization in the real field, which is reflected in turn in the real space. Symbols existing in the real field have a magical power to affect the phenomenal world, or real space, in a manner that recalls the power the three-dimensional beings to produce miracles in Flatland. The geometric inversion of linearity is held to be a closed loop, that is, a regular recurrence; induction between imaginary and real fields takes places between closed loops, as with electric current and magnetic flux. The real field (and perhaps also the real space) has more than three dimensions; the imaginary field and space have unlimited dimensions.” (p15).
“As the unlimited dimensionality of temporal interval is disclosed by the statistical independence of different relative likelihoods, so the unlimited dimensionality of temporal frequence is disclosed by the harmonies of recurrent pattern. Though the pattern is imaginary, it may still be useful. For example, we could define the structure of a chord in such a schema without reference to the key in which the chord were played… what Globus (1976) called ‘relatedness per se’. Such a pattern is perpetual rather than eternal, qualitative rather than quantitative, imaginary rather than material. It is defined by its own harmonies” (p27).
Outward and inward departures from Origin (p39).
“…As the point of access to 3d space, τ space, r field, or ψ field, Origin displays four respective facets: Here/Now/Everywhere/Always. [The figure above] depicts outward departures from Here and Now, inward departures from Everywhere and Always. Unlike Here and Now, which serve as zero points for quantification, Always and Everywhere confound and nullify all measurements. Qualitative rather than quantitative, the ψ and r fields disallow direct measurements but still provide a frame of reference in which to consider relatedness per se” (p38).
“Psience proposes an inductive coupling between the orthogonal ψ and s fields—between the domain of imaginary, immaterial pattern and the domain of its symbolic representation. What is symbolically represented is relatedness per se. We can label the two arcs of this interactive feedback loop ‘expression’ and ‘communication’ [as figured above] (p58)”.
Hence “creation is the self-realization in the real field of relatedness per se in the imaginary field” (p62).
* I believe the top figure mislabels linear to the left of u-space, implying that both u-space and s-field are linear, whereas it is u-space and τ-space that are linear (as dimensions of interval). Perhaps a correct label would be spatial, as opposed to temporal, though this blurs the denomination of dimensions of interval as -spaces.