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Beyond the tabular plan in a global context


Identifying the Root Cause Focus of Radical Identity (Part #10)


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The dynamic complexity variously suggested by the metaphorical framings highlight the inadequacy of any presentation in tabular form -- however convenient for 2-dimensional communication. The issues have been explored further under the following headings:

These point to the need to shift to another geometrical framework -- consistent with "global" understanding, especially in its integrative sense. Intriguing in this respect, however counterintuitive, is the transformative relationship between sphere and torus as illustrated by the animation below.

The quest for the locus of radical causes might be more appropriately associated with a toroidal framework, as separately discussed (Comprehension of Requisite Variety for Sustainable Psychosocial Dynamics: transforming a matrix classification onto intertwined tori, 2006; Implication of Toroidal Transformation of the Crown of Thorns: design challenge to enable integrative comprehension of global dynamics, 2011).

Of potential relevance to the possibility of comprehension, the torus may be used as a representation of harmonic space. A piece of music moves around in this space [more]. The results of psychoacoustic experiments of the inter-key relations of all major and minor keys can be represented geometrically on a torus (C L Krumhansl and E J Kessler (Tracing the dynamic changes in perceived tonal organization in a spatial representation of musical keys, Psychological Review, 89, 1982, 4, pp. 334-368). This is shown in the image on the right below (Benjamin Blankertz, et al., Constant Q Profiles and Toroidal Models of Inter-Key Relations -- ToMIR, 1999).

Torus-Sphere transformation
(reproduced from Wikipedia entry)
Geometric representation of the inter-key relations
of all major and minor keys

(derived from psychoacoustic experiments by Krumhansl and Kessler)
Torus-Sphere transformation

Geometric representation of the inter-key relations of all major and minor keys in music

The argument may be taken further by considering the metaphorical implications of the design challenges of the ITER toroidal nuclear fusion reactor currently under construction, as presented separately (Enactivating a Cognitive Fusion Reactor: Imaginal Transformation of Energy Resourcing (ITER-8), 2006). The design issue could then be framed in terms of how contrasting metaphors (such as those above) could ensure that the "plasma" (from which power is derived) does not enter into contact with the toroidal container.

Much is made in the promotion of ITER that it will enable humanity to benefit directly from the "power of the Sun" (Fusion For Energy: bringing the power of the sun to earth). This is in reference to the complex energy-engendering relationship in the plasma between hydrogen and helium through their isotopes (deuterium and tritium). Given the reference to them above as indicative in metaphorical terms of the challenging relationship between "normal" and "radical", there is a case for recognizing the possibility that an appropriate design to contain them (as "plasma") would enable access to unforeseen levels of psychosocial energy, as indicated separately (Massive Elicitation of Psychosocial Energy: requisite technology for collective enlightenment, 2011).

Current efforts by normals to eliminate radicals, or by radicals to eliminate normals, are then to be understood as inadequately contained features of this process (Norms in the Global Struggle against Extremism "rooting for" normalization vs. "rooting out" extremism? 2005; Eradication as the Strategic Final Solution of the 21st Century? 2014).


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