Saturday, November 12, 2011
Olney and the Oil Spill
Olney and the Oil Spill
L. Edgar Otto November 12, 2011
We generate a lot of mythical and dogmatic systems when our physics is not unified. That or in some ultimate dogmatic and mythical system physics cannot be unified.
The hypothesis wars essentially reduce to how we understand the finite and the continuous. This work is usually divided as was the study of groups by Lie and Klein. The formal clothing of both approaches can be deceptively similar when in fact sometimes distinctions should be made.
Culturally, this also is reflected in how we as a society relate to our media and methods of mathematics. In particular the simple rather than the abstract reckoning by the use of number concepts. The computer can crunch numbers more rapidly than humans and that thought to be and advantage for the machine. Yet, the arrangement of patterns as in the color matching of so many cubes seems much easier for humans than the machines. This is not just a question of the programming, knowing what is involved to set the problem into numerical patterns. Nor is it a question that we show there is a human element distinct and involved. For it is clear that those who are adept with an abacus can do rapid calculations, grounded perhaps in the structure that takes advantage of zero and the powers of place holders with discrete beads. It has been said that when humans rely on such mechanical devices their ability to do the hard problems of counting diminish, a age of commerce where the mental counting is distant from abstract understanding other than going thru the mechanical motions. Myths like this in certain ages and in forecasts and the claims for the health of a society with technology also cut both ways in such analyses.
We have, even in the so called normal and gifted children, this issue of how such a division in the foundational view of the world divides them from the general picture of a unified physics, of nature and her patterns ultimately. The sense of being outside the mainstream, that some children are aware they think differently, also cuts both ways. Society tends to separate the creative into the scientific and artistic realms that co-exist in conflict while it may be both are essential for living.
Sometimes we can address a myth with artistic myth. That is the first stage at the new directions that threaten a continuous regime or the totality in general that all systems fragment, disconnect into a chaotic threshold that may prematurely undermine the whole.
Today I am thinking more about the Fibonacci numbers and the relationship to primes, and all the various different approaches I have encountered lately. But these thoughts, and the depth of my lack of education to what is already known, and the lists that are already computed as surely as our genome and are difficult to count, factor on my own as the numbers are rather large, I offer you perhaps a myth of patterns. Hopefully, other ones that no one has stumbled upon and to the more formal eye appears as if a recreation of simple identities best left to formulas at a distance from understanding of them on some higher abstract level. Yet, we already see that it takes a lot more to understand the patterns of the genome than what the hard listings of the code seemed to promise us.
The foundations then almost require a certain sense of doubt to be more assured of what is more certain in our achievements. This is true of most myths. Myths that are valuable to hold the falling of the sky and cradle us against our real and imagined fears. I may write the more on the myth of Olney, but a fifth person -that is SphereDream a fifth essence of sorts - in a Godhead among endless growing integral numbers that far into the higher dimensions may be rendered meaningless outside the pale of our personal lives. Olney in his journeys along the endless beach for a time works in the city, Far Rock-a-bye, at the great university, There as if in a parallel world of lives he experiences the activities and thoughts of the fourth in the Godhead, the SphereVirgin, or as he has encountered her, the Mare-maiden.
What Olney learns from this is that the physical nature of his world has a lot more than just the wind, sand and waves and seasons. The model of things on the surface of his cosy world, the hypothesis that somewhere in space there is more than a sphere of vectors and gravity but the philosophical tea pot we can postulate but cannot disprove. Not so the circled squares- not like Steve Jobs insisted upon if our pixel letters are to be more of a human artistic creativity. But for this - and I foresaw long ago the way to visualize things in a graphic method now called windows, this I tell you only that it may shed light on my thinking if that is worth doing - let us not forget that
we cannot do without those who understand the inner workings of the computation, we all cannot be lost in the clouds, and the gathering of information as to how we live is a diminishing return in a world where privacy is protected thereby by the herd and only a few are left behind.
It turns out that much of the dispersion of fog and clouds has to do with heat and how things factor in the dimensions toward some center of a structure when seen as a sphere or surface. The old saw goes that a physicist in studying what a horse is (but the evolution of such a horse is seen as a complicated non-linear problem) first reduces the problem to an ideal spherical horse, But there is more, for the mare-maiden, noting her teapot was kept quite warm with the tea cosy, decided to knit a few with knots and braid and wing openings for the penguins cleaned up from the oil slick. Olney and the Oil Slick would have been the title of this myth. What Olney learned, not so much in his quest as if going to sea in war or adventure, a masculine view really, was that the ultimate nature of physics in relation to numbers, at least at this peak of contemplations and data, is to be modeled more like an oil spill rather than the endless beach alone. The force of things, of whatever nature, that tends inward or outward physically, gravity if we so interpret that breakthrough of a great idea for something still out of reach yet not just in the clothes of magic or astrology - Let us not forget Newton was our last great astrologer and he counted biblical codes of prophesy - that it is a bias really of things like phase space or anything primarily seen as continuous that a force applied inside a liquid goes equally in all directions and not as if a random dispersion. We get a hint of this in our simulated models of exploding stars.
Sometimes the mysteries we encounter are rather simple but cannot be or can only superficially be explained by the knowledge of our day. The ink drop into water, which the chaos theories come close in our day to explaining, is not just a matter of continuous hysteresis and random flow. We can assure by the differences in the measure of numbers - and here I rely on the uniqueness and simplicity of arithmetic, the integers in particular which seem so trivial also to me - that in some sense there is an evolution, a causality or history, as if in the drops we have the evolution of the spherical horses bones in the cosy individual development or in the global struggle in general. But we do not need to get bogged down on this issue of causality at this point in our thinking- for nature seems to exist quite outside our prejudices and expectations in agreement and despite what we hold as truth.
The drop in fact breaks down into other drops, in particular it forms a torus or smoke ring which itself with many branches forms such tori or rings. The process seems quasi-random as does the considerations of what happens with the dispersion and factorization of the Fibonacci numbers. The idea of the powers and the primes in the factoring of these numbers can be seen as the constructable possibilities of positive objects in relation to vectors of integral numbers of them that reduce or evolve thru the growing dimensions. This is like Clifford's idea where the powers are indicators too of a dimension- and idea I long held, but more from a discrete view than what from his numbers bedevils those who are trying to keep things closer to ideas of continuous groups. But all seem to know the abstract algebra involved that say the finite and infinite groups correspond in numbers.
So from the list of factored Fibonacci numbers let us observe these where they involve the properties as if the code of them in primes reflects the possible constructions for force dispersion into what we imagine as higher spaces and the geometrical factoring of the space itself. As with all growth of concepts involving the unification of things, algebra and geometry, mathematics and logic, we periodically find that the gains in unity in one era are separated again in the next and higher era. This is especially significant when we apply the ideas of exponential equations for systems of space, material and measure where we have a disconnect again with the geometry and algebra,
I may come back to point out just how this may apply for those who see the world in the more continuous bias- for these integer numbers impose themselves as well the pure numbers into the rather elegant equations with meaningful but hard to translate into simple information descriptive symbols. From this view many of the numbers arise intelligibly when looked at as to what sort of dimensions are periodic through the golden ratios as limits. For one thing the sequence of Fibonacci numbers are even odd odd even odd odd - but I have established that that is a horizontal view only, going back to the Greeks, when in a plane and that other factors mix and are involved vertically. Yet if we put parentheses around the + - - + - - + ... parity we can readily see that in this abstract factoring space is fundamental asymmetric and symmetric. In fact we should not assume an equal mirroring in which we can say, as in the various particles, the conversion of the sign is arbitrary to the description, likewise that such reversals are always balanced or equivalent.
Just as certain primes first show up in some Fibonacci number and are periodic thereafter, and the count of the powers of some primes as if more dimensions, we find the interrelations and reductions of spaces as if positive vector directions of forces and aggregates as prime possible structures. These relations suggest that in the arranging of continuous values over some discrete quasi-random range that the integers chosen can also have mirrored and unique periods as intelligible structures, a sort of fundamental theorem of dimensional geometry at least over the prime phobic golden ratio irrational maximally slow growth and dispersion that balances out the branching exchanges of energy. In this sense the uniqueness of numbers, even where such continuous values are prime number phobic, can make reasonable hypotheses despite the rather large numbers and dimensions involved in the reduced but hidden or expanded counts.
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Just found these related topic sci mag articles:
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