These days the wise men of mathematics like to pride themselves on computational modeling. For example, they will attempt to evince wonderment with fractal geometry. Yet, the principle of a nested power series of true infinities much more to the point is found very precisely in Nicholas of Cusa's Vision of God. The English translation of which I have linked above. And it is a grievous error to slander Cusa as a "mystic."
For unlike the superstitious worshipers of numbers such as the egregious case of Sir Isaac Newton's numerologic magical mystical tour of the Bible, Cusa was no such fool. But then such precise and poetic irony always escapes the shallow minds of those that falsely believe if they just put a label, number, or price upon the things of their desires then they own them.
Reality, that is, truth and nature itself, is certainly not less noble than art; it is rather the model of art. Its essence is so great and sublime that, in order for us to approach reality to any extent, the only way open to us is to forge a path as yet unknown, just as art does. The smallest object of reality is infused with the same essence; and it is absolutely wrong, that nature in its perfection could be found only in all its particular objects taken together, that the totality of the vital force could be found only in the sum of the particular moments of its being. Both may certainly appear this way, but one cannot think of space as being severed, or of time as being divided. Everything in the universe is one, and one all—otherwise there is no unity at all in the universe. The force pulsating in the plants is not simply a part of the force of nature, but all of it. Otherwise, an unbridgeable gap is opened between it and the rest of the world, and the harmony of organic forms is thereby irreparably destroyed. Every present moment contains all the past and future in itself, for there is nothing to which the fleetingness of the past can cling, as the perpetuity of living.
Further on in this same work Humboldt expresses in an understandingly diplomatic tone (for he was such) my precisely undiplomatic polemic against any false equivalence between the model of the Roman empire's evil imperialism (i.e, the "liberal democracy" of British imperialism) and the products of Plato and Aeschylus.
The test of modern nations is their feeling for antiquity, and the more they value the Greeks and Romans equally, or the Romans over the Greeks, the more those nations will fail to achieve their characteristic, specially set goal. For in as much as antiquity can be called ideal, the Romans participate therein only to the extent that it is impossible to separate them from the Greeks.
Life should stitch and create ideas by the fullness of its movement, by ideas superior to itself and to every activity. Man should possess a power, both by his own effort and the favor of fate, to produce spiritual phenomena which, measured by the past, are new, and measured by the future, are fertile. And, as art seeks out, or better, generates an ideal beauty in a pure and incorporeal idea, in the same way philosophy should be able to generate truth, and active life generate greatness of character. Everything should therefore constantly remain in activity—creative activity; everything should amount to the fathoming of the still unknown, and the birth of the not yet seen; everyone should believe himself now, to be standing at a point which he must leave far behind.
If the celebrated misanthropic professor were really serious about his claim "that our species needs to work together," he would be promoting vastly increasing an international space program that could protect humanity from the real threat of asteroid impacts. He would also be calling for a vast increase in nuclear fusion research, massive infrastructure programs in cooperation with China and Russia and for an end to geopolitics of scarcity and Neo-Malthusian claptrap .
Hillary Clinton went from blaming a vast right wing conspiracy behind the impeachment drive against Bill to blaming a Kremlin conspiracy being behind Donald Trump. Why isn't the so called fifth estate lambasting her as a conspiracy nut? Instead they are continuing the narrative with new charges like this: "Trump's son reportedly talked Syria with Russia supporters"
What would happen if the US gave up the geopolitical "Great Game" and actually entered into mutually beneficial relations with Russia and China? John Quincy Adams promulgated this viewpoint as a concert of sovereign nations. The direction of history must be shifted toward mutual cooperation that benefits our progeny.
This means an understanding the the future of all mankind demands that we engage in the continuing development of revolutionary technologies in conquering extra terrestrial space. Salient in this effort will be commercial nuclear fusion, emphatically not "renewable" low energy density boondoggles.
Humanity must put behind itself the criminal legacy and genocidal machinations of "Empire" imperialism that runs through ancient Rome to "great britain." America must regain its mission enunciated by Benjamin Franklin to do the common good.
"The spirit of improvement is abroad upon the earth. It stimulates the hearts and sharpens the faculties not of our fellow citizens alone, but of the nations of Europe and of their rulers. While dwelling with pleasing satisfaction upon the superior excellence of our political institutions, let us not be unmindful that liberty is power; that the nation blessed with the largest portion of liberty must in proportion to its numbers be the most powerful nation upon earth, and that the tenure of power by man is, in the moral purposes of his Creator, upon condition that it shall be exercised to ends of beneficence, to improve the condition of himself and his fellow men."
These discovered brain wave patterns during sleep reinforce gestalt conception of mind/brain nature not reductionist connectionist conceit of bits of information transferred by networks of neurons. The idea that the mind operates like a CPU in a computer, which is just an extension of a sterile master filing system originally derived from punch cards from a weaving "program" on a loom is absurd. But due to the reductionist worldview of neuroscience the theorists cannot see this very absurdity even though it is staring them in the face much like Poe's tale of the Purloined Letter. Their ideology is blinding.
The remarkable quality that butyrate exhibits depending upon the microenvironment it positively effects yet again brings to mind the relevance of Bernhard Riemann's geometric model of a multi-layered surface function. In many cases we see a unique biophysical singularity that acts as a sort of branch point in different functional phase spaces. This Riemannian model has correlation in the inorganic as well, for example with transitions of fluid phases. In fact, the functioning of human creativity which may act upon multiple levels through the agency of a scientific or artistic breakthrough gives the model a wonderful universality in these three domains.
These days in the parlance of mathematical physics the concept of "symmetry breaking" is ubiquitous. This would be the description of a phase of a process that through a singularity emerged into a sort of new domain of functioning. However, it were more productive perhaps to start from a thorough grounding in what is invariant across the organization of reality in all its relevant incarnations.
Self similarity as a principle of organization and development is invariant within what Vladimir Vernadsky termed the domains of lithosphere, biosphere and noösphere. In order to grasp this fact, broaden your viewpoint of the first category lithosphere to include the Riemannian hypothesis that there is a characteristic stasis for a curvature tensor that adheres within the bounds between the very small and the very large but that may break down outside those bounds.
The human mind is naturally entranced with wonderment at the beauty of seemingly inorganic and lifeless remnants of a universal process: galactic star creation at one boundary of the very large and mineral creation at the very small. It is Leonardo's artistic depiction of this very connectedness that evinces the extraordinary and unique power of the human mind to encapsulate this ironic invariance that is the true substance and motivation for scientific progress.
A result of the fact that human creativity is capable of scientific revolutions is the extension of our very limited mammalian senses into the much broader electromagnetic spectrum. It is the case that we now know that many species are capable of sensing parts of that spectrum walled off from human sense perceptions to ensure their survivability.
A recent study, for instance, hypothesizes a biophysical mechanism that may underlie migratory animal perception of the earth's magnetic field. This research is a prime example of how scientific hypotheses are generated by taking advantage of previous such revolutions.
Further, it must be emphasized that there exists a hierarchical ordering of life forms on this planet that culminates in the unique feature of humanity to go beyond our own bounded senses. This is what Vladimir Vernadsky called the Noosphere. Our ongoing survival, unlike lower species, hinges upon successive creative breakthroughs that provide us previously unknown resources.
In order for civilization to progress as rapidly as possible this uniquely human potential must be nurtured and heightened. It is the emotional correlative that accompanies great discoveries that is produced in classical forms of art which is the life blood of this creativity. It is the shared human faculty for creation and appreciation of great beauty in the arts that underlies such necessary progress.
The principle that there is an hierarchical ordering of the earth's biosphere that determines evolution is born out in recent research that shows adaption via disparate genomic pathways in different species. Thus the vector of evolution is not random genetic mutation but a energy landscape constrained and bounded by conditions that prevail in similar ways globally. This is to say that there is a reverse projective conformal causal geometry at work.
The idea of a pre-established harmonic ordering that Leibniz proffered is quite real. To understand the implications of this though, one must go beyond the relatively fixed range of possible mutations in mere biological evolution. Indeed, we need to project backwards from the unique nature of humanity's defining characteristic. We are not limited in the same way that all other species are in this regard. We can consciously change our mode of energy throughput via deliberate innovations to move to previously unknown resource bases. It is this higher ordered non random lawfulness that thereby governs all possible forms of evolution. This unique property of human creativity provably exists necessarily. It alone is the measure of all things.
The whole tone of this article really gets to what is wrong with the American electorate's reality show mindset. Throughout there is a mawkish and fawning aggrandizement of Hillary and company which resembles nothing so much as worship of the gods of Olympus -- Hollywood style.
These were the gods that were capricious and downright bestial. And if you mocked them as anything but perfect then you were ostracized or even sentenced to drink hemlock. Thus Hillary will have a scorched earth vendetta for the vast conspiracy of Julian Assange and the Kremlin from on high in her aerie perch in Mount Olympus.
But lightning bolts and Greek warships won't be launched this time. This time whom the gods would destroy they drive mad and hand over the control of nuclear weapons.
The doctrine of absolute sovereign immunity is irrational. It is therefore baseless. The real overarching issue is imperialism and geopolitics. The sovereignty of Saudi Arabia, for instance, is a fiction concocted for the interests above and behind control of oil resources. Wars of aggression to expand such control are imperialistic. The issue of the human right to procure freedom from this control in order to provide advancement of potential future well being of citizenry overrules the system of supposed "noblesse oblige" whatever permutation that might take.
The United States Constitution in essence already ended sovereign immunity by replacing it with a principle first and foremost of promotion of the future welfare of its citizens.It is that principle which is sovereign and relegates all other claim subordinate to it.
The current disgusting state of "infotainment" style, reality show, "direct democracy" is befitting only for half besotted rubes. However, unfortunately, this snake charmer, geek show style of presidential politics currently befouling us is nothing new to the United States. It is the reason that Benjamin Franklin purportedly and provocatively told the anonymous importunate lady "We have given you a Republic if you can keep it."
Symptomatic is the spectacle of the same Jefferson who could write that all men are created equal, yet years later after leaving the White House schemed to institute a manufacturing slave economy in America while attempting to prove when challenged that Benjamin Banneker was of an inferior "race."
The ugly American syndrome resonates not only in our bellicose and cringe-worthy neocon "think tank" foreign policy "establishment elites" but pervades "virtually" every nook and cranny of this our winter of derangement. Without the creation of "do as thou wilt" "modern art" by the MI6/CIA Congress for Cultural Freedom could we have had the excrescence known as the "counter culture?"
This evening, as I was pondering the commentators on the Presidential debates, I accidentally changed the channel to tune into final movement of Mozart's 40th symphony. I have heard this performed many times, but somehow being taken by surprise and unaware like this, I had a startling "aha" moment.
This connected for me two otherwise seemingly incongruous lines of thought. One was that Beethoven's later deployment of thematic material has a remarkable eeriness when performed and conducted wisely that abruptly brings the the listener to a point of closure and then commences immediately through recapitulation to seemingly reverse time.
This is what I heard quite distinctly and though I was not really concentrating fully on it. An idea rather snuck up one me, almost surreptitiously as though out of the corner of my eye, so to speak, to pair a frankly silly "thought experiment" that modern physics proposes about time reversal and entropy with classical music.
Two things come to mind about this train of thought: one is about the universality of what is sometimes designated as the preconscious. For imagine for a moment, if you will that both Mozart and Beethoven were great lovers of the principle of the American Revolution as a beacon and foreshadowing of a most happy potential for the future of humanity.
The idea that the phase space of an inorganic physical process could reverse the "arrow of time" is tediously wacko. It brings to mind all the mental images of the hapless nerd forever ensconced isolated from reality in their own nerdlike "virtual" fantasy world. Very much like the idea that we have now somehow "emerged" into a utopian information age, where we needn't concern ourselves with the rot, which evermore surrounds and engulfs us... Unless, we have nightmarish qualms that either artificial intelligence will turn on us or worse... aliens will do us in.
However, putting aside such craziness, the real issue of the relativity of time as Einstein approached it is germane to my theme here. For the riddle of the role of quantum mechanics' observer who changes the probability wave function through some magical sort of consciousness. That riddle's solution is just this: time itself is in the perceptual domain only of human intelligence. Thus while we can observe that effects of circadian diurnal rhythm throughout animal life at the cellular level, only we may observe this.
So returning to the great classical composers, in the line from Bach to Brahms. Their thinking was embrued by a Leibnizian optimistic outlook of the beautiful human potential that we live in the best of all possible worlds. It is only from that highest standpoint that we overcome the revulsion for the current status of American politics.
Time reversal is indeed a singular reality in the realm of human governance. Take Plato's supposition in The Republic that as we age the wisest among us turn to issues of how we may best lay that groundwork for the mode of society's principles of continuing well being. Hence it is entirely lawful that the quality in the compositions of Mozart and Beethoven, et al. of "turning on a dime" to recapitulate on an ever higher plain of development is the secret to time reversal.
Here, peering at the polar hexagon on Saturn from the Cassini spacecraft, we are reminded of Kepler's polemical opus on physical geometry called the six cornered snowflake or De nive sexangula and Gauss' Pentagramma Mirificum.
From: Bruce Director: From Plato.s Theaetetus to Gauss' Pentagramma Mirificum: A Fight for Truth.
Without the creative breakthrough transition from Kepler to Riemann (Gauss' greatest follower) our space program would not be possible. But now the politics of this planet are mired in lunatic geopolitical "debates" over how technological progress is destroying the limited resources of "Mother Earth." The joke is that the real source of resources is not the physical stuff of our planetary system, although the canny Chinese government is far sighted enough to be planning to mine the moon's Helium 3 for fusion fuel. The real resource base is only to be discovered in the ironic interplay with the advances made by the ongoing and never ending potential progress emerging anew from the creative, noetic unphysical human mind that mirrors that living composition of this our wonderful universe. The best of all possible worlds.
Now it seems to yours truly that a riff on Lennon's 1960's psychedelic song lyrics are a "good fit" to the current quagmire of such dead end mathematical logic about the supposed history of the universe. It is so full of holes. And such god awful unholy holes. Such circular "unlearned ignorance" is hard to fathom.
"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.
If we were serous about reducing costs of healthcare funding for this and related extremely worthwhile research would be increased many times over. But of course this would meet with the usual anti GMO opposition. The romantic idea that a pristine state of nature is preferable to scientific intervention to improve conditions which lead to disease is irrational. Of course, we have been bombarded with this very mindset by the supposed intellectual elites who tell us that we will never go back to a manufacturing economy. Even while we visibly rot with the free trade information age dystopia fit only for zombies that Hollywood is so enamored with these days.
Yet another marvelous discovery of the ubiquity of the toroidal electromagnetic dynamics.
Orbital angular momentum (OAM) vortices (pink ringlike objects) are three-dimensional laser light structures that rotate around a central beam, much like water circles around a drain. Physicists and engineers have studied this type of laser vortex since the 1990s as a tool to help improve microscopy and telecommunications.
The too long ignored scientific genius of Gottfried Leibniz in the seventeenth century created the principle of pre-established harmonic ordering in his Monadology. This was parodied by a misanthrope by the name of Voltaire. This line of investigation thoroughly vindicates the Leibnizian worldview.
Further, it also sheds light upon a very important principle in that same Leibnizian outlook developed by Vladimir Vernadsky. To wit: the diurnal rotation of the earth is perhaps the sine qua non in the hierarchy of the interaction of the lithosphere with the biosphere. Indeed, it may be that life were not possible without it.
" So, Ms. Smarty pants, you think the puny little sun governs climate? Hahahahahahaha! That's crazy. The real experts know that humankind is an ugly pustulent boil upon the arse of her highness Mother Earth that will soon be lanced and wiped out due to our arrogant belief in technology. Ever since we started using fire we have been causing global warming. Only our primate ancestors are truly free, they need no evil fire things. We must return to nature now! No more cooking, no more Interne "
Dear readers, I sincerely hope that this cunning prankster being cut off in mid rant like that indicates that we will see no more of him.
Confronting Humanity currently are twin evils of an oligarchic financial system and a dark age rule of terror. These are inextricably bound as a deliberate outcome of the practice of a truly evil geopolitics.
The only sane alternative is is the ushering in of a new era in human history. The planned development of civilization beyond the bounds of our home planet. Currently the nation of China is leading the way in this regard with the plan to mine Helium 3 on the moon.
The importance of this study lies far beyond the surface issue of hearing. As the comparison for the visual cortex hints there is a unifying principle for the organization of the biological senses. On the level of ontology, the issue is whether the senses are a sort of blank slate or tabula rasa or as Leibniz demonstrated there exists a pre-established harmony at a higher level of organization. In Leibniz' New Essays on Human Understanding, he refutes John Locke's assertions that knowledge is derived from mere sense certainty. The underlying issue is one of the choice of scientific methodology. The ideology that science is the mere logical construct derived from sensory input is a crippling mental condition which undermines progress. The necessity for an overriding mission for humanity to continuously perfect its practice is the principle that today entails the our emergence as a space based civilization which can conquer manifold threats to our survival as a species in so doing. Indeed, without the contributions of Leibniz and co-thinkers, the development of physics which enables such a space based civilization would be impossible. For it was through Riemann's anti radical empiricism and non Euclidean geometry, that the groundwork was laid for Einstein's theory of relativity.
We hereby announce the creation of the new Meteor for President PAC. We believe that a majority of registered voters if given a chance will choose this unusual third option.
As far as time is associated with the biophysics of a perceptual apparatus it remains on the level of that which non-human species can attain. Thus the research usage of animals cited here. However, distinctly human time is radically relativistic in the sense of a progressive species of ever more dense cardinal infinite numbers that were first identified by Georg Cantor: the Transfinites.
This principle of the absolute division that sets humanity apart from all the other species inhabiting the biosphere is evidenced in ongoing technological revolutions that have put mankind on the brink of literally inhabiting other worlds through colonization and economic development of the resources of extra terrestrial bodies. As a particularly remarkable example of this consider China's plan to mine the moon's abundant supply of Helium 3 isotope for fuel for future nuclear fusion reactors.
The truth is Executive Order 12333 which authorizes that American citizens shall be treated as enemy nationals for the undefined objective of protecting "national security" itself is unconstitutional, period. This is the preeminent issue here. The drip by drip erosion of our constitution has been ongoing for decades. In particular, I experienced the use of 12333 against the organization with which I was formerly affiliated, that headed by Lyndon LaRouche. When it got too close to the corridors of power with Reagan's adoption of the SDI, all proverbial hell broke loose against it, including a paramilitary style invasion of its headquarters.
At the time, LaRouche's investigation of this egregious attack by his political opponents uncovered the use of that very same 12333 that Snowden was questioning as a violation of the constitutionally protect right against unwarranted surveillance and entrapment of American citizens.
The research on brain functioning as it correlates to experiential stimuli both in place and time is related to conformal mapping in synthetic geometry. The development of this type of geometry flows from the unique experiments that were achieved during the Florentine Renaissance by Brunelleschi and his acolytes.
This leads to a reflection upon a higher sort of historical memory in the distinctive human creative domain of mind. There are waves in human history that reflect periods of creative outbursts that can elevate society both materially and psychically. Such waves are characterized by forging a vital new solution or breakthrough to societal dilemmas.
But the sorts of breakthrough hearken back to lessons learned from the extended human consciousness over long stretches of time. Thus the memory for the rebirth of the Socratic dialog of ancient Athens. Those communicative social reasonings in Plato's dialogues uncovered for ancient Greece a crisis in human affairs over the incompatibility of human perfection with the oligarchic model of society. This was achieved through focus upon the potential infinite power of the human mind. Thus the breakthrough of Brunelleschi's "point at infinity" for geometrical and artistic perspective. The conformal mapping of the human mind in time and space occurred as the lessons from ancient Greece were applied to the travails of Renaissance Florence.
The incessant popularization of the dogma of so-called computer scientists and neuro-biologists alike that intelligence is just the product of electro-chemical signals is simply put insane. The wretched ontology of this is merely a "modernist" rehashing of the "school" of the British radical empiricism of Locke, et al. that Leibniz devastatingly refuted point by point in his wonderful expose New Essays on Human Understanding.
The problem is that today's supposed "scientific method" is also based upon this sort of nominalist drivel. To hysterically believe that the uniquely human mind is merely an assorted aggregation of a computer-like code of ones and zeros is anathema to the rightful perspective of our qualitatively unique position in the ongoing composition of universal development. It is amazing frankly that given such an overarching debilitating and insidious epistemology controlling most academic institutions that we have yet to exterminate ourselves.
Thus do higher institutions of learning produce labile donkeys as this excellent cartoon ironically lampoons.
Reflection upon "Most distant massive galaxy cluster identified"
As the great Bernhard Riemann observed, on the scale of the nearly infinite, seeming causal constraints that govern our finite reality break down. This is so for the quantum world of the infinitesimal as well. For instance, how can it be that we detect both super massive black holes that are apparently sucking in whole stellar systems like the drain in a bathtub at the same time there that space itself is expanding through the so called cosmological constant? As for this newly discovered galaxy cluster, what is the force that holds them together? A super-super massive black hole?
Attempts to resolve such ironic anomalies through a grand unification theory by some sort of algebraic approach where we create the unknown parameters out of the strings of whole cloth is foolish. The real question is what sort of inherent potential is there in an evolving universe that allows for disparate yet interacting hierarchies of the inorganic, biophysical, and noetic. And in that particular context, what orientation should humanity adopt?
Because currently, we are being driven by patently suicidal impulses due to poor, mostly subconscious, choices regarding our belief of what constitutes human nature. Conversely, our destiny can be to conquer and tame such apparently chaotic cosmic and quantum forces for the benefit of our futurity. Or in the footsteps of Benjamin Franklin's gift of the lightning rod, our adopted mission must simply be to do The Good.