"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, October 25, 2015

Protein Dynamics and the Riemannian Surface Function

Bernhard Riemann's vision of a multiply connected (via branchpoints) surface function is nowhere more apropos than in the so called proteome. For what we are continuously viewing time and again is that proteins themselves exhibit the characteristic of living singularities that are connected as branchpoints to a particular sheaf of a functional surface upon which they interact with a manifold of other proteins in a well ordered fashion, if the organism is healthy.

Likewise, that same protein may interact at times upon a totally distinct surface with other groups of proteins to perform another biological function. Thus assorted biophysical functional spaces are multiply connected in one overarching organismal composition.

Riemann's amazingly prescient method is yet to be adopted for biophysical research, yet it is certain that the sheer weight of evidence will eventually militate in its favor.

Rendition of multiply connected Riemann surface with branchpoint

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