"The mind is a compact, multiply connected thought mass with internal connections of the most intimate kind. It grows continuously as new thought masses enter it, and this is the means by which it continues to develop."

Bernhard Riemann On Psychology and Metaphysics ca. 1860

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Sunday, April 15, 2007

Recapitulation of an Ordering Principle

The recent analysis of alignment in chirality of spiral galaxies along the so called "axis of evil" points to an ordering principle of development which subsists across the inert/biophysical/cognitive domains in an interconnected way at all levels of resolution. As I introduced the concept earlier, there is an analogy of "choice" in some primitive sense in the simplest biota. The resolution of the paradox of the numerical continuum can only be had with the understanding that it (the continuum) is a resultant of human thought. Therefore its scope is conformal with a world line of discontinuous progress in the arts and sciences. Take all of human history and determine whether there is the equivalent of an axis of asymmetric organization across cultures. Wilhelm von Humboldt's study of linguistic variability as it influences the capability of human creativity is precisely an endeavor in this direction.

A true notion of a multi dimensional manifold of a strictly functional sort here begins to come into focus. (This in thorough contradistinction from the idea in string theory of hidden physical dimensions.) Firstly, the functional form of significance is premised upon a notion of useful work being performed. The development of heavy elements in the interior of stars systems including their shockwave creation in supernova is "work" being done on a spectacular cosmic scale. It is not unconnected with the fact that progress in human society is forged from a development of tools as knowledge of metals is fostered. Likewise, the use of metal ions to process the complex folding of proteins in the biophysical realm.

Just as the notion of choice is expanded, by reflection on its equivalence across realms, so is the notion of work. This is the truth of a theory of geometrical "connections" among a multi dimensional framework. It is only in this sense that the associated mathematics is non trivial. Bearing this point in mind, the issue of apparent randomness of action, for instance Brownian motion, quantum fluctuations, etc., must be redefined. The generation of a cyclical wave function of any kind gives the lie to characterizing the universal ontology as "chaotic." For one must put forward the question of why any such wave function should exist in the first place. Ignoring this issue, can only be accomplished by mental gymnastics of denying that the form of question has any validity. And yet, even by the very act of denial, there exists an asserted non chaotic universal substance. Whatever the future direction of biophysics determines regarding the scenario of the emergence of the "RNA world," the distinct principle of higher ordering emergence can not be neglected. This quality of emergence is not somehow magically, spontaneously generated out of chaos as it were.

It is on the basis of an ecumenical dialog in this direction of seeing the betterment of human society as the goal of governance, that the current descent into primitive forms of surrogate warfare can be averted.

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