"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

Today's Elites

Tuesday, November 28, 2017

Re: Less life: Limited phosphorus recycling suppressed early Earth's biosphere

The recent work "Biomass recycling and Earth’s early phosphorus cycle" is precisely correct. The throughput energy density of phosphorus in the biosphere directly effects the potential for ATP synthase, the molecular engine of life, to power evolution. This energy density throughput (as identified by Lyndon LaRouche and co-thinkers, myself included) is the critical component for human economic activity as well. The difference is that for the human economy the measure of energy density throughput is of a higher Cantorian transfinite order that subsumes previous technologies. For example, energy derived from wood burning subsumed by coal, then oil, natural gas, nuclear fission. The next step in this sequence is nuclear fusion, and beyond that matter-anti-matter reactions.

On the down side we have the entropic philosophy of the doomsayers "green" agenda. It assumes falsely that that is only so much stuff on our planet so therefore we must "invest" in "renewables." This is mad and criminally so. It is relegating future generations to increasing levels of poverty both economically and culturally. Thus we have today's opioid addiction crisis. 

The principle of Cantorian transfinite subsumption goes back to Nicholas of Cusa and his collaborators in the Florentine renaissance (which Cantor readily admitted.) However, the foundation of this quality of noesis can be found in Dante Alighieri's Divine Comedy. If good reader you will overcome your silly adopted "modernist" assumptions about the separation of left brain/right brain hermetically distinct categories of science versus art, then you will conceive that great poetry going back to Plato's dialogues is science. And as Dante quite rightly demonstrated that even in the very uttermost depths of hell such as we have ravaging our society there always exists an ordered pathway out of that hideous cave toward the light. This is the pre-established dynamic harmony Leibniz propounded. 

Contrary to the childish science fiction epigones of H.G. Wells, the "space age" by necessity, as Ibn Sina so succinctly argued in his proof of the "Necessary Existent," is the common ennobling destiny of humanity. Only then will we put away our infantile playthings of yesteryear and enter into a new self reflective transfinite domain of that which Dante and Cusa profoundly depicted as the Vision of God.

Update: this excellent research shows the unique role of fungi in producing soluble phosphorus and compares differing possible rates of its throughput. 

Saturday, October 21, 2017

The birth of a new protein and the genius of Leibniz

Here is a remarkable insight from one of the authors of the paper "Foldability of a Natural De Novo Evolved Protein": "Not having emerged as this glorious work of art makes it more believable that these protein-coding genes are popping up out of the genetic region between genes," Cordes said. "I want to know where things come from in life - how life creates novelty, how evolution creates novelty."

Add this innate creative capacity to Leibniz' perspective of monads with windows upon the universe. At that point you have something that is very much like artistic composition where apparently fixed elements of musical intervals or rhythmic versification allow an infinite array of potential de novo experiments establishing harmony. This is what Leibniz meant by pre-established harmony as the best of all possible worlds.

Possible shapes for the yeast protein Bsc4 that the computer algorithm QUARK predicted using only the protein’s amino acid sequences. (Image: Matthew Cordes, using UCSF Chimera molecular graphics package)

Sunday, September 17, 2017

Kepler's Method is Alive and Well

The situation with dark matter and dark energy that astronomy confronts today is eerily reminiscent of Ptolemaic epicycles. Upon founding the mission for the moon at NASA John Kennedy remarked "The greater our knowledge increases, the greater our ignorance unfolds."

What was the method that allowed Kepler to overcome the roadblock along the pathway toward resolution of the ordering of planetary orbits? He pronounced that method openly and forthrightly. The principle of the universal composition must be comprehensible to humanity. That is there must be a higher order that would allow coherence to seemingly random pathways that celestial bodies take. At first he envisioned an ordering subsumed by the geometrical system of embedded regular Platonic solids. This bold hypothesis derives from Kepler's insistence that any planetary order must not be algebraic but constructive. Which is to say that the scheme of the composition of the universe could not be merely arbitrary but by necessity must be well reasoned. 

The harmonic elliptical function that Kepler next hypothesized also adumbrated the very same idea of a lawful higher ordering subsuming universal motion of matter. For elliptical conic sections are geometrically projective. In its own way this elliptical principle is a type of relativity. And it is no coincidence that the same method of strictly basing any hypothesis upon geometrical analysis in fact did underlie Einstein's breakthroughs. The four dimensional complex geometry that Einstein utilized was made possible by Gauss and Riemann's advancements. 

Firstly, Gauss resolved the whole matter of apparent universal cyclical randomness with his grand opus on higher arithmetic. Which is to say that at the granular level of comparative relative celestial motion a higher principle of cyclic remainders or higher arithmetic  is necessary by the very composition of substance. 

Next Riemann boldly established whole new types of geometrical projection in his dissertation on the hypotheses underlying the foundations of geometry and in his work on pressure shock waves. First Riemann showed that dimensionality was analogically projective from n + 1 dimensions to n dimensions.  This allowed Einstein to suppose that time itself was quasi dimensional as the fourth dimension. (As I showed earlier, this assumption in a way was already given birth by Kepler's elliptical principle which itself stood outside of time by subsumption.) Just as importantly for Einstein was Riemann's development of the ordering of universal curvature. (This was foreshadowed also by Gauss as Riemann admitted.) 

Further, it has been my lifelong contention that Riemann's revolutionary reworking of geometry has much more to bequeath to today's scientific problems. His branch point surface function itself  is evidently a coherent pathway toward establishing a biophysical type of ordering. Riemann himself deeply delved into this realm with his paper on the mechanics of the ear. We see in research everywhere that at the very small biophysical order a protein or some other biotic monad or branch point singularity has a manifold of functions completely in line with the sheaves of functional space that Riemann developed. 

In this way, the principle of projective relativity takes another non linear step from the merely inert physical dead matter to the living realm. In the very same way that for instance we witness microtubules functioning communicatively biophysically, may we not hypothesize that intergalactic dust lanes might be a sort of macrotubule for the creation of star systems? It is a question that goes directly back to Kepler's method that instead of the frankly dreadful assumption that mere randomness underlies all motion in physics in the small and large, living systems and noetic systems must subsume from a higher order that which appears to the senses. Or as Kepler would have it, the mind of the Composer of universal substance

Monday, August 21, 2017

Beauty's Secret Snare

What secrets has thou kept these many years
Upon a mountain top in China
Lovely Iris, from humanity's prying eyes?
Though beauty as the dawn's sweet light does bathe
Your winsome hues in rainbow petals grace:
Sweet sacrifice of nectar
You now make with measured guile.
For rudely mating sawflies
Entranced to merely dine
Yet leave untouched both stigma and stamen
For the sake of your flower progeny
That yet will delight with blues and purples
Up in the rarefied heights
New generations of friend and foe alike.

By Kogo (Own work) [CC BY-SA 3.0 
(http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons

Wednesday, June 21, 2017

The Universal Relative Process of Becoming

Nicholas of Cusa over half a millennium ago propounded a principle that should have governed scientific inquiry to this day. He called it learned ignorance or docta ignorantia. To restate this: the principle is that as humanity discovers successive breakthroughs regarding the organizational constitution of the physical, biophysical and psychological functioning of our universe, we paradoxically discover that we are just as far if not farther from understanding what lies beyond.

This train of thought is based upon a methodology of Platonic dialog. It is a rigorous determination regarding the ontology of the power of the infinite process of becoming. For instance, how can we surmise that if humanity lifts our civilization off this planet we can be confident that we will collectively discover new sources of energy to propel us forward? (A progressive energetic series of fission, fusion, matter-anti-matter, etc.) This is just because we can hypothesize that the potential entirety of human history is concomitant with this very infinite such power. To think otherwise is irrationally absurd.

And yet society has been in the throes of such "thinking" over the ages. The magical belief in the power of a pantheon of immortals who arbitrarily rule over human affairs is unfortunately prevalent in the tide of history to date. It is synonymous with the infantile worship of money for instance: the magic of the marketplace. It is the equivalent of the belief in renewable energy sources as somehow constituting progress rather than regress -- i.e. that there is only so much stuff to go around on this lifeboat earth.

It is nearly miraculous that since we have been imprisoned intellectually by such infantile poppycock that we have somehow not managed to blow our whole planet to smithereens several times over. Which indeed is as close as I can come to an otherwise impossible proof that the continuing process of creation is harmonically composed of what can only be described as a nurturing or loving governance. Never has the choice of mutual development of nations versus destruction been more stark.

Sunday, May 07, 2017

Human Brain Surface Topology

If one were to perform a normal conformal mapping of the surface of the human brain to a Gaussian unit sphere, there would be the equivalent of a Riemannian surface function that has a multiplex sheath of sheets. This mapping is on the complex mathematical domain and counts every bit as much for the human brain's quality as the intricate axonal branching that supposedly carry "information." Whatever that is...

Wednesday, April 19, 2017

Nonlinear discontinuities are the characteristics of substance

The absolute and unbridgeable separation among the realms of the non living, biophysical and human creativity points to the idea that rather than assuming that substance is merely located within those boundaries, substance is rather the movement from one to another.

The paradox of humanity's forever finite yet evolving knowledge of such infinitely powerful sources of universal creation rightfully situates the solution to the current baleful consequences of the false ideologies of geopolitics and limited resources.

For there can be no possible limits to human technological progress which revolutionizes the very definition of what constitutes a resource. The proof of this potential can only be grasped negatively in the same way that the ironic nature of substance is addressed above. While we as a species are constrained to operating within the confines of existing modes of sustenance, it is only when the necessary orientation of discovery permeates our science and art that we truly exhibit our whole and uniquely creative nature.

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