"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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Saturday, September 11, 2010

Leonardo Project and the Ultrasound Continuum Mechanics Hypothesis

Lately, news has surfaced of a DARPA funded research upon ultrasound neurological modulation effects. The author of this research has a well developed hypothesis of possible wave mechanical effects on extracellular cerebrospinal fluid.

This evokes a further refinement of what I have lately termed the Leonardo project. The field of physical geometry initiated by Gauss known as conformal mapping theory comes into relevancy here. After all, the mind is a type of Riemannian multi-dimensional conformal mapping process that has a physical brain substrate which is provably fluidic both in the sense above as well as electromagnetically.  The wonderful studies of solitonic disruptions in the aorta akin to hurricane formation surely correspond to epileptic seizures. The phenomenon of hippocampal neurogenesis was hypothesized by Riemann in what are referred to as his philosophical fragments. Importantly here is that Riemann explicitly states that ideation itself has a directed physical effect. Ideas generate what he termed geistesmassen or thought mass.

I believe that there are some further avenues that need to be explored here. One is the holographic or gestalt nature of the brain mind function. This directly brings into focus the Gauss mapping of extended topological curvature onto a unit sphere. That is a model for this gestalt principle. If that mapping process is then expanded to include a sort of multi-dimensional connectivity into relevant facets (i.e. art, science, metaphysics, et al.) of thought then what emerges is a conceptual model for noetic processes.

The second avenue is that the nature of shockwave-like hypothesis generation alters the medium of thought transmission via successive technological breakthroughs. The importance of Riemann's working through of hypersonic shockwave phenomena in his seminal paper from 1860 is relevant here. The kernel of that paper is that when the speed of sound or pressure goes beyond the bounds of transmissability for a medium the production of  shockwave ensues. This continuously alters the curvature of transmission from positive to negative curvature. Likewise, there are classes of hypotheses regarding nature that alter the relations of physical production for humanity. There is a sort of revolution in the underpinning of the physical mode of production. Viewing that mode of production as a medium for transmission of technology, what has occurred is a type of shockwave has swept over societal relationships. Then that shockwave has been annealed by adopting the said technology and society has acquired a new basis for a medium of transmissability of technology. I believe that this foregoing principle must find its parallelism in the functioning brain probably via neurogenesis and plasticity.

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