Sunday, December 23, 2007
The question is whether in this almost infinitesimally minute segment of space and time we refer to as human history, it has been sufficiently demonstrated that no matter how much we discover the inner workings and inter relationships of the physical, biophysical, noetical domains, there will forever continue to be more to discover. This is the only coherent and valid sense that one can claim any intuition of infinite extension. Everything else as far as a putative cosmology is concerned, including such masturbatory whoppers as the "stringy landscape", is pure phantasmagoria.
Saturday, December 15, 2007
Saturday, November 24, 2007
Joking aside, the extraordinary discovery of DNA coiling like a sort of mainspring in cyanobacteria compels me to speculate on a real quality of connection between our conception of time and the earth's diurnal rotation. I believe there must be a coherence between a biological wave form like the pacemaker or autowave and this coiling and uncoiling activity of gyrase and topoisomerase enzymes. In human terms, this quality of time is like a sort of carrier wave. Gauss' higher arithmetic supplies the framework for Riemann's multi-dimensional manifold conception. Which is to say, that we can model a multitude of interconnected cycles exhibiting dimensional qualities. (But this in no way gives us the latitude to believe that we can reify these dimensions as truly physical a la string theory.)
But there is something beyond this biological clock conception of time which is distinctively human. Riemann also supplied the means to model a wave function that supersedes the speed at which the medium can carry it. And it is here that the wave form moves from a positive curvature simply radiating outward through the Mach cone series to a negative curvature.
Now carry this image over into the multi-dimensional manifold of human societal relations. Our economy at any one phase should be able to sustain the population. We have a nexus of resources and technologies that make this possible. But due to the relative limits of resources in any historical epoch, there is a necessity to develop new resources that redefine the technological manifold in much the same way that the formation of a shock wave changes the curvature of space for sound. So for humanity there is a kind of built in necessity for scientific progress. Kraft Ehricke referred to the extra terrestrial imperative. If we view time on the grand scale of mankind's mission to colonize other planets and solar systems, then the constraints upon society become our relative imperfect understanding of physics at any point in our history. This truly is the analogy to a kind of projective mapping out to infinite time via a technology vectored purpose for humanity. It is analogous to Einstein's conception of a world line.
Friday, November 16, 2007
Friday, November 02, 2007
Permit me, dear reader, to introduce an item here to illustrate this principal more concretely from the standpoint of a seemingly simple stratum of biota. The macrophage is from all reasonable experimental perspectives capable of continuously evolving in order to “outflank” the potential defenses of its host. This in an extreme sort of way evinces a “power” inherent in a conatus or striving of all orders of recognizable biological existence. But what of the ordering principle (or transfinite ordinal power) of the conscious mind that is capable of recognizing the seemingly preternatural ability of this species of living organism to evolve? What power shall we assign to that very same consciousness that can perform such an order of operation of reflective re cognition of this very same biotic power? Is it not immediately self evident that it were absurd not to advance the acceptance that the order of such a noetic consciousness is in a very well defined sense on another non arbitrary higher level of transfinite? And further, does this not permit us to view the concept of power from the standpoint of conative substance as not merely a sterile set theoretical category, but rather as the integument which inexorably leads us to affirm a principle of living orderings which proceeds to an encompassing power of conscious and creatively powerful thought or noesis?
Saturday, September 01, 2007
When mathematical reasoning has been found, it checks political faction and increases concord, for there is no unfair advantage in its presence, and equality reigns. With mathematical reasoning we smooth out differences in our dealings with each other. Through it the poor take from the powerful, and the rich give to the needy, both trusting in it to obtain an equal share... Archytas
Tuesday, July 03, 2007
Any misguided attempt to create a sort of topological "covering" from a fixed order to an ever potentially evolving substantial universal process is foredoomed to failure and quite frankly madness. As Cusa elaborated for his own time, the microcosm of the human mind or what Leibniz referred to as the thinking monad necessarily recapitulates the entirety of the development of the macrocosmic inert, biophysical, and noetic strata of the universe, no matter how imperfectly and cannot fail to do otherwise except through an obdurate negligent choice. Thus bringing in the element of free will, which can never be accounted for in a system that attempts to reduce or restrict choice to the radically absurd assumption of a simple on/off stochasticism. When the mathematical artifact is taken as the reality then indeed we are confronted with some quite literally insane hypotheses, such as reversing time and hyper-dimensional "m" or string theory.
Sunday, July 01, 2007
Saturday, June 30, 2007
To wit, given a function which exhibits a rather profound level of seemingly chaotic randomness, it must always be possible to tame this critter by at least one less degree of arbitrariness. (For those in my audience who attempt to keep up with today's astonishing welter of meta mathematics known as category theory, one might say that the very last statement is an ironic categorization, if you will, of Bernhardt Riemann's dealing with arbitrary functions equivalent to Beethoven's principal.) Now look at the Ninth Symphony in this light also. The fourth movement evinces a musical method of capturing and recapitulating the essence of the preceding three movements and bringing them thus to their inevitable crisis or denouement. Finally, the Promethean crescendo is produced which resolves this at a higher functional level.
Now, this last point is critical to the subject of this essay and will be brought into focus anon. The question of why there is a sort of built in cyclical necessity to mental development, both in the broad spectrum of human history and in one's own mental microcosmic recapitulation of that history, is intimately tied up in the issue of why we need to dream. I was frankly astonished yesterday, when I came across this posting in Nature: "Rhythmic growth explained by coincidence between internal and external cues." Heretofore, it appears that the study of circadian oscillators (here I must interpolate my prior insistence on the importance of so-called biophysical pacemakers or autowaves in energetics) proceeded without taking into consideration the variable of the "external cue" of the diurnal dark to light cycle's effect on helix-loop-helix clock gene in regulating plant growth patterns. Even though, it appears, that previous experiments were carried on in the artificial light of the laboratory, there was a metaphorical darkness thereby akin to Goya's excellent cartoon -- The Sleep of Reason Produces Monsters. But shift one's viewpoint to an eagle's eye overview of the entirety of the functional process here and it becomes clear what the functional energetics of the interplay of internal and external cues are.
Now bring to mind the foregoing image from Nicholas of Cusa and Leibniz of the interplay between the micro- and macrocosm of thinking monads. Is it any wonder therefore that dreams themselves of great players on the human stage of history were given such a preternatural or outre distinction? That which on the surface of things might appear to be an arbitrary or chaotic juxtaposition of mental images in dreams, in fact has as its genetic principle a repotentiation of the societal interplay of human growth and development.
Saturday, April 28, 2007
A simple walk through the neighborhood
Brings to mind the birth of stars mirrored
In blooms of tulip tree blossoms that shoot out
Like delicacies of prose found in memories of posies.
A surface on the lake just when the ice is melting
Shows dendrites like those astrocytes on the manifold
Of mind. A slice of our senses like the shadows
On the wall. We see now in the glass as a laser
Gives out the critical phase, so the tongue marshals
Our slight ken. Ever diminished in light of the receding
Spacetime locus. But growing with the zenith of reason
To a higher non linear curve. Why are we not astounded
When at every resolution there is a striving for perfection?
It is not the heavy ladened mechanics of those dire prophesies
Of perpetual frozen matter insensate like Dante’s Satan’s lair.
No not those chaotic screech owl like random walks,
But a nobler resolution as true as the gift of the lightning rod
Through freedom to convoke communion in purpose.
We see an axis in the cosmos like sugar and protein
And impossible configurations to shift toward the light
Synthetic of the mindseye. If there be not here a motive
To surcease of sorrow, then there will never be one.
What madness hath overtaken us like children of Gorgon
Only to be forever reliving our Atreus like poisoned
Genetic dance? Yet the motion of helix can be a disease
Or a blessing. We are built like Damocles through and through.
Which way will you choose, oh futurity? There is but one path
On the labyrinth of causation.
The bird flies as our heart lifts we exhale our soul’s sail.
Sunday, April 15, 2007
A true notion of a multi dimensional manifold of a strictly functional sort here begins to come into focus. (This in thorough contradistinction from the idea in string theory of hidden physical dimensions.) Firstly, the functional form of significance is premised upon a notion of useful work being performed. The development of heavy elements in the interior of stars systems including their shockwave creation in supernova is "work" being done on a spectacular cosmic scale. It is not unconnected with the fact that progress in human society is forged from a development of tools as knowledge of metals is fostered. Likewise, the use of metal ions to process the complex folding of proteins in the biophysical realm.
Just as the notion of choice is expanded, by reflection on its equivalence across realms, so is the notion of work. This is the truth of a theory of geometrical "connections" among a multi dimensional framework. It is only in this sense that the associated mathematics is non trivial. Bearing this point in mind, the issue of apparent randomness of action, for instance Brownian motion, quantum fluctuations, etc., must be redefined. The generation of a cyclical wave function of any kind gives the lie to characterizing the universal ontology as "chaotic." For one must put forward the question of why any such wave function should exist in the first place. Ignoring this issue, can only be accomplished by mental gymnastics of denying that the form of question has any validity. And yet, even by the very act of denial, there exists an asserted non chaotic universal substance. Whatever the future direction of biophysics determines regarding the scenario of the emergence of the "RNA world," the distinct principle of higher ordering emergence can not be neglected. This quality of emergence is not somehow magically, spontaneously generated out of chaos as it were.
It is on the basis of an ecumenical dialog in this direction of seeing the betterment of human society as the goal of governance, that the current descent into primitive forms of surrogate warfare can be averted.
Sunday, February 18, 2007
Saturday, January 27, 2007
If you review Riemann's famous Hypotheses which underlie geometry habilitation paper, it strikes you that via the concept of an n dimensional manifold there exists a specific manner in which n dimensions carry over or evolve into n+1 dimensions. In spatial dimensions, we can continuously move without affecting or disturbing the quality of the dimension per se. This is what Riemann signified as a continuous manifold. For the purposes of functional space, it is convenient to treat of other characteristics of physical reality such as pressure or temperature as added such dimensions which are likewise continuous. (However, it is the case that this may not quite be true absolutely, e.g. there is an absolute zero for temperature, which is why at or near that region the "normal" laws of physics are seemingly violated.)
Now consider whether this is true of time. How do we move in time? We do so mentally in two directions. Therefore, it appears to the naive first impression to be of a similar quality of dimension as a spatial dimension. In fact, we mark time as a cyclical function through the use of space. However, can we actually, not merely in the imagination or virtually, move backward in time? Is it in any way truly reversible in the sense that the three spatial dimensions are? Obviously and self evidently not. Why then do we blandly accept the concept of physical space-time? Further, why do we wish to indulge in the idea of n dimensionality as anything other than as a useful fiction that serves us to create a sort of functional “space.” Which fiction, however, it must be cautioned, must not be confused with the three “real” physical dimensions. On this score, none other than Riemann himself weighed in. In his philosophical remnants, he discusses time. Its cyclical nature is relative to the system or life form at issue. For example, the scale of time for a tree is far different that that say of a butterfly. However, we do see that biologically there is a unifying metric that is indeed quite physical, i.e. a circadian rhythm determined by the rotation of the earth. Does anyone in his or her right mind suppose that this rotation or cycle may actually be reversed? On the other hand, it is extremely useful and a uniquely human power that we may reverse and move ahead in time in our imagination. Without that power, our judgment in changing our course of action would be impossible. (Sort of like George Bush and company vis-à-vis the war in
The question is then, does the mathematics of relativity permit us to think of time (or the speed of light) as a dimension in the same sense as the real physical continuum? How is the mind immanent in these dimensions? What is the limit of the transmission of ideas over physical space and time? Faster than the speed of light? Can an idea be truly transmitted effectually ?
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