"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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Tuesday, September 13, 2016

Bernhard Riemann and the Coming Scientific Renaissance



"The tone responses in the cochlea are, essentially, "remapped" to the cochlear nucleus, the first brain center to process sounds."


This characterization about how the mammalian auditory system processes sound is reminiscent of an approach that leads back to transformational Riemannian physical geometry. For example, the way in which mapping is performed along the optic nerve to transform images in the visual cortex.


The fact that Riemann himself made a profound contribution to the study of hearing is not accidental. The groundwork for the study of physical systems determine properties of curvature was Riemann's Hypotheses Which Lie at the Bases of Geometry. The idea that there is no a priori space had a revolutionary impact upon science. It is the premise of Einstein's relativity, for instance.


Today, we are limited, perhaps fatally, by misconceptions regarding humanity and nature. Take the viciously prevalent and false notion that there is only so much wealth (for example energy, food, arable land, money, etc.) to be divided among competing nations or ideologies, religious or otherwise.


True scientific inquiry functions upon a mission orientation that Benjamin Franklin adopted from Cotton Mather's principle that a society must be orchestrated to "do the good." Thus, we will prioritize areas of research that will redefine that which we consider to be resources at ever higher levels of usable energy transformational throughput.


Living systems naturally exhibit a higher ordering principle than nonliving ones. Although, in extreme cases such as approaching the speed of light or at absolute zero temperature or of fusion energy confinement regimes, inorganic systems act anomalously via singularities in a well ordered fashion.


Likewise, human creative thought is qualitatively distinct. To be precise, what is meant here by creative thought is that which uniquely bears the potential of transforming society to ever higher levels of both material and psychological well being. Again, Riemann synthesized an approach for how a physical geometry can map these features of physical and mental reality.


If we view a function upon an n-dimensional surface, say one characterized by energetic constraints, be it inorganic, biophysical or mental, their exists a potential for that function to branch into a new domain of higher energetics of new well ordered surfaces of n + 1 dimensionalities. Thus, for instance, we discover that a protein may act precisely as such a singularity that has multiple potential biophysical functions. Further, human individuals have the potential cognitive power to consciously revolutionize practice in multidimensional mental arenas, from science, economics and art.


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