The Lincoln Logs of Galaxies and Atoms

Well, who decides who is crackpot or not in the gated community of science? What we really have to debate as scientist is what is crackpot and not of the science at hand and not the emotional debate of arrogance or whining overestimated enthusiasm. Anyway, I had some thoughts yesterday 02-08-10 and thought a little more about perspective after a discussion for his new study on blueprint reading with my son Ari on facebook. I wish I could convey to him the beauty I see especially intense lately and that it is worthwhile to learn- or to my other sons for I have wanted to have at least one scientist in the family.

The Lincoln Logs of Galaxies and Atoms

What holds things together (ie matter) is the fact that raw space is a slippery slope (ie Casimir action-reaction issue)

What does it mean if in a more modern analysis of limit, that the singularity can be a ring but that it a sort of quasi-string of some extended distance? Thus we can fold space on itself and center it over some connected region? We perhaps see here4 more evidence or reason that the concept exists of the "galatoms" and "ecotoms" we discussed so long in the philosophychatforum.

Yes, string theory is metaphysical, philosophy as to if we insist on empirical evidence directly. The colliders needed are well beyond our reach and although they can be reasoned not to start a descent into a false vacuum situation so to destroy some region or universe can can accidentally encounter such artificially I imagine in other experiments if we do not understand and command at least the quasic ideas.

The debate with Lincoln on the sciencechatforum was decisively won or at least drawn philosophically as regards to the utility of philosophy at the first challenging him with the Casmir force as related to the dark energy- but we were not educated enough not to belabor the point and the doctor admits it a frontier in need of urgent study.
Of course the machine we did make is exceptionally beautiful in itself though so far from the flux of zero point- in that sense it inspires the human spirit somewhere between the anguish of our nothingness free and in our infinite cost.

But each new small step forward seems to require greater epiphanies. Can the creative universe have no restraints?

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We Must Learn the Joy of Learning as if Unfolding Slippery Space with Directions that seem Ultimately of our own Bootstrap of Concrete Dreams

Although we in learning recapitulate the world's wisdom in our understanding of things. to do it de novo on our own, the recreation in part of the wheel, we can make the same conclusions and possible mistakes made by the speculations rejecting or affirming an idea- justified or not- as have many innovators in the traditions and obvious trends and steps in discovery have done.

I have, at different times in my life, had more vague but creative juices flowing. I have had periods of clarity of the significance and limitation of mathematical ideas as if coming up each time again head under the water of ignorance. But never as high than now after a very long struggle has my grasp of the beauty of the workings of the cosmos and mathematics - the lack of confidence notwithstanding- than I do today. The ideas have a certain confidence and relevance and I begin to ask new questions, pose my own dilemmas.

Not that long ago pieces of the puzzle were missing in my mind's eye of what I read say in analysis. I do feel much the expert in my own domain and satisfied in its development of its truth and openness to solid intuitions being more aware of them. (Hey slackers, I was there first and independently, not that you matter to me or the world anymore- so put that in your elite hats that from my view limits our research and development of ideas in a free and democratic and sacred world)

Some first guesses. objections of the needed praise for the saints of the sciences as inspiration should be looked at again in view of our new understanding and experiences. at the foundation the first doubts and distrust of complex numbers as angles as a case in point or the distrust of geometric methods over the algebraic where there is logically no real variation of them. The continua involving transcendental, irrational numbers- indeed, the truth of the transfinite itself can make further progress. Time after all can be the meaning of the imaginary and the subjective lateral to the real yet consistently describle quaternions as spin- and Kepler is not totally falsified in his first mysterious cosmological model.

Golden Section Puzzle Design

Golden Section Puzzle Design

Among other things like several poems not posted around the 6th I looked further into the irrational ratios. For example the old puzzle I made called butter much along the lines of a series of Fibonaccis of stacked golden rectangles only in three space. In the 64 to 65 puzzle the missing square is a rather thin diamond so one of the squares does not vanish- yet what is concrete in this abstraction called number and with such conceptual cracks in the grid what is underneath it all as a continuum anyway unless it a transcendental possibility or freedom in design?

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In the blog The Reference Frame an article called New particle masses in heterotic orbifolds I hope this sort of thing can be seen related to my posts here and on the philosophychatforum (I think it is rather much a blog itself and not what some of our efforts are here as an exploration of science in itself) but so many of my diagrams are not accessible on that forum now. In particular my quasic explanation of the particle generations which I suspect goes a little deeper than this article of guage and string theory, recall I adopted the E8 view early on as exotic groups when reviewing the partition methods of Dr. Seal's phd project on string theory.

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For those few that come here who want to do certain projects with me- note that I am also trying to relate this to certain notations and ways to utilize the pixels for things like click maps in the better balance of finite and wider design. In particular for the A360 model camera I want to find the resolution (I think that of 2448 x 3264 will be best for that its highest resolution. On first blush I want to use the ration 289 and 434 Fibonacci numbers each adding one to it and multiplying by 6 for the 1 to 1.5 ratio or 1740 to 2610 which allows factors each squared of 2, 3, 5, and 29. Of course the choice of 5 is for a quasic grid to make the location of the pixels easier to find. But I have a lot to do yet with this sort of discrete pixel concerns- here where 6vartheta squared plus seven vartheta plus two where vartheta can have a Fibonacci value approaches the traditional 2 to 3 ratio of the third confederate (and other flags where there is a struggle with proportions) flag for example 5167/7754 of the 18 Fibonacci number. Vartheta is my symbol for phi or tau where we may insert discrete numbers from some series.

In a sense the same problem of Pythagoras in analyzing music is there- the coincidence of the 12th and 19th roots close in any extended music scales wherein maybe the third flag would be left because of this tradition of our Western music limited to all but flirting with the sevenths.

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The Idea of Equations between the Infinite and Discrete

The Idea of Equations between the Infinite and Discrete

Sometimes a picture is enough in our insight into geometry. But equations work well also, our shifting across a mirror or mirrors can have their own perspectives of how we relate to design and measurement. Where I have toyed with the trivial problems of proportions involving the golden section and the third CSA flag I could have just as well wrote the series of powers of phi to see that in one dimension of the flag we have some multiple of phi with the Fibonacci numbers and a value added to it as an excess of similar and recursive numbers. But as with all such mathematics it is a relaxing recreation although some of our saints in the field like Lucas were essentially hobbyists. I use the variant of little theta to represent phi which can be replaced by a Fibonacci number (hence digamma) for a more general continuum.

I have always been bothered by the need for a quasized continuum as sort of a parallel offshoot of what seemed a reasonably complete series of continua. Now these seem to have a relationship more concretely in my mind.

We should have expanded some of our notations long ago. What is the negative root of a positive number? To ask this is a question of linguistic ambiguity as much as one of our idea of limits and numbers. Surely in general space there exists a point between zero and one which uniquely describes the irrational number yet it in reality is a number or limit that in some sense is never reached. But it can be described in the greater concept of dimension and space and spaces as a dynamic relationship between what is continuous and discrete in the virtual structures of the worlds design and its vigorous lifelike evolving.

Developmental Spectra

Here is a comment I posted (subject to moderation) on the blog I follow The Reference Frame which I hold in high regard and seems to relate to the subject I was thinking about today. I would urge any would be scientists to read this article carefully. It is odd to me that in my manuscript this morning I found stating the obvious excruciating to present even as a clear publication (if we can call a blog that) but clearly as with this article it is equally frustrating that some obvious things fade and are not understood perhaps in a poetic sense. It remains to be seen if this is a good development.


Nice clear article (I wish I could be as clear).

I am not sure I agree with the conclusion because I feel things have to be a little deeper than the current paradigm of irreversibility in some sense the entropy as time or any other disordering.

But I certainly understand your frustrations with those who with some position do not really understand the significance of the principles they are expert in using. Perhaps the decoherence on some deep level of consciousness does border on incoherence in some sort of flux.

I think the next thing to fall in your sense and maybe for the better is the idea of space as a form of dimensional measure. Of course it is still much a question of our unifying what is finite or not in both directions of groups and their reducibility. In short physics, including string theory, has not caught up to the underlying mathematics.

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The Developmental Spectrum and the Implications for Science and Philosophy of Quasic Theory L. Otto 02-04-10

On some level, reasonably and logically, it seems uncertain if a design context drives implications or these drive the design. What then may we say for explanations and causation in physical or mental states of relaxed intelligibility?

Certainly, our diagnostic tool, numbers and language, are close to the foundation of symbol systems and physicality. This we intuitively sense, evaluate, debate and apply. Science then among its methods and politics can default to its role in general as developmental learning and other problems of communication.

The last posted article on the quasic notation, the structural information it may suggest in a way of null space or less in design development, if something is gained concretely from apparent randomness or flux, certainly seems an explanation for mental and embryo development.

One case in point which I heard discussed this morning on Public radio concerned the retraction of a paper that linked autism to children's shots (and speculated on other possible causes such as arsenic or insecticide- or the same old nature or nurture issues as to environment or heredity) The paper apparently did not have a wide sample nor a control for some statistical population research so after the storm of controversy it was declared bad science. Yet, we still do not know the causation or design context of this disease or diseases. It is hard to prove a negative- was stated as the usual dogma of the current logical and scientific paradigm. But for such things as perhaps existing, metaphysical at least, do we not clearly see that it is logically hard to disprove a negative also (Godel?)?

While guesses and measure as such is a powerful tool it can be a bottleneck for deeper research. As the child may be too sensitive in the spectrum of autism in some relation to immune disorder or expression- and usually more creative so withdrawn some suggest if not stimulated to develop- what drives the differentiation which can be described beyond the linear matrices as the geometrical models of change of space? Can the purely scientific method of chance and sampling- an appeal to what sort of work can be gained in some context of entropy or developing order for that matter- is inadequate to make the diagnosis and its cause, even inadequate to logically show there is no diagnosis to be had.

Is it that we are too clean, one caller suggests? Paul gives us a lesson where apparently God had supplied unclean meat- in the new testament then some look for justification for eating pork. But the message is that we are not to treat the gentile as being unclean. Diversity in sharing scientific knowledge is good but tolerance of each other as if the overall design is we are worthy as God's children or perhaps equally so-so a more intelligible model of the laws of nature and mind.

The idea in the accompanying drawing above - the rigid cuboctahedron as if the wall of a plant cell- and the micro degrees of freedom of a mammal cell at that point where if divided into thirty two there can be that many and not one (dying)individual (and I do not exactly mean see the 5 power here as a fate dimension) that the quasic model at least shows the immediate renewed path of possible embryo development- so too the notation for styles of mind. In that picture I include the glia and other nerve cell models as one brain group of them seems to monitor the other as if the baleen to polarize light quantumly or the classical field idea of forces whose dimensions are a mass defect in whole numbers of various groups I use the metaphor of the two types of whales. Indeed, we know their relation to us has changed and that dolphins for example seem to have positive effects on autistic kids swimming with them. But can I poetically suggest that they are our glia and we the busy physical nervous activity of the concrete world? What does this say for our vague coherence of mind and belief in otherworldly entities?

Quasic Coordinates as Alternative Definition of Forces

Quasic Coordinates as Alternative Definition of Forces

L. Edgar Otto Words and numbers are living things their subtle breath in cycles the decimal floats and shifts, Mayan zero great arcana or origin for ice sickles... I guess I am done with the hoarfrost and rime ice in the poems, need new theme...
At the creative frontier where we touch the depths of the universe we sometimes find what seems concrete one day shifts and does not make sense the next. Words and numbers have these sorts of coordinates if we are aware of a greater continuum and its reality.

There is an alternative explanation for what we abstractly in physics regard as forces. Not only can be interpret the intrinsic curvature of space as a view that explains acceleration equivalence to gravity in a non-Euclidean manner, as far as the deeper ground of the subconscious in analog as logical we have the structures that flange or project down to some physical space and have dimensional mass defects as so relativistically above so quantumly below our awareness.

Language at the frontier of such creative depth in this sense is the same as what happens to numbers and how we view them or assign them to certain pictures or models.

The coordinates of say a 5-cell simplex (four space analog to the three space tetrahedron) are 0001 0010 0100 1000 and phi phi phi phy (tau or golden ratio). But it is not clear for these xyzw axes which one is the center so we can think of any one of them as the center. 256/81 in a sense some think of in the earlier days of mathematics as the value of pi. This sort of manipulation of the coordinates can be seen as a wider space of possibilities and the focusing down as a source of force with some of the dimensions of a different nature expressed outward. This is in effect an Euclidean space as if we can form the density of things in the normal way of momentum, moments of inertia and so on of normal space.

If phi or tau or some power of it is involved in the ratios- or for that matter the Lucas numbers and the like applied to a graphic design, we seem to be dealing with say triangles with no area, perhaps vectors as only a zero vector- but how many if we can convert them to some other triangle with zero area so to compare them?

My roommate is flirting with sacred geometry- in the traditional sense of the subject checking it on line I find it not a very scientific discussion if we want to get down to the nuts and bolts of these alternative geometries and its suggested existence via intuition or logic. Why do we deceive ourselves and others?

The Babylonian Theorem

My roommate subscribes to the Scientific American book club and I found this formula in a book review called the Babylonian Theorem. From what I can tell of such little information in a review this is how it was done before our use of quadratic methods and the author also speculates that the advantage of the Greeks was their ability to label geometric figures with letters which the other cultures could not yet do.

This is an impressive speculation but I feel that the explanation goes deeper in that we have to consider the nature of the letters themselves- their vowel representation in particular as well as our intuitive pictures in the game that was very popular with the Greeks proof and all in the first screen of figures drawn in the sand at the beginning of the alphanumeric age across the world.

My dream last night was rather strait forward, life is full of surprises for example the leaving or entering into this world and we try to make of it serious ritual. This is one of my trying to understand the world and people dreams but most likely is telling me something about physics or using the concepts creatively. It seem that once close or far apart in the Achilles and the Tortoise sense that distance is invariant and yet it is relative which is to say as if a rope incense or some length of tail each of us is initially given this constant that occurs with differentiation is in a sense dimensionless- that is the philosopher and country girl can make a bond that seems to endure and is no surprise for our sense of what is reality of love.

Now in my previous posts of the southern flag proportion problem we note the fact that the golden section times its inverse is negative one which is to say it is the removal of some area. As the addition of multiples of the section is one we put the golden digital ratios in the reverse order to find 13 x 17 which intuitively is to say we have the comparison of powers of the golden section (in three space there should be some interesting shadows of heights of the polyhedra).

This foundational way of looking at things I do in the hope that there may have been something missed in the way we address what are mathematics and numbers.

Which brings me back in general to the Pythagorean and even Fermat's theorems or say the square section of the cuboctahedron as a quarter tetrahedron that fills n-space non-Euclidean. In other words what is a continuous and what a discrete problem. In any case we have to think again about the transcendental spaces and what we can do more to define than what is a connected region in this dimensional space.

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I would like to add that I think the Hoarfrost and Rime poetry series is finished and I really need a new theme. This is in a sense in midwinter one of my less hopeful and creative periods as always a calm before a storm. I continue to occupy myself in higher aspirations so that I do not become angry at those morons who have retarded our progress and survival in this world.

Dissecting the San Continuum

Dissecting the San Continuum

This morning in the coffee shop I posted a few more poems, here and on myspace. Having finished early I decided to google four space dihedral angles as that was my concerns lately as to what I have styled the san (Greek obsolete letter for 900) continuum for those part of my poems that involve abstract physics ideas. I found a delightful, if so hard to read, paper from 2003 which seemed to echo some of my recent musings on the nature of transcendental numbers and discrete values as if to be unsure of questioning my heroes such as Coxeter and Conway on the matter.

There can be a continuum sea of simplexes that divide some higher transcendental space of n-dimensions- and he author showed there are even some non-euclidean ones and in a sense these do suggest things beyond the limit of proofs by number theory of number theoretic things. I had intended to put more out for this month's post on the irrational values and ratio thing but got diverted at the foundation (other than the poetic mode of creativity) by a calculator that gave me a whole new view of the rational sphere of abstraction we call numbers.

I may post something interesting along these lines now that I am reassured I am still on the right track and can speculate further - but I still want to find some applications or maybe solutions for some view of traditional puzzles.


http://www.math.temple.edu/~wds/homepage/diophant.pdf

as in the poems numbers are at once mechanical yet living things and two ways we get our head around them and one way there does not seem to be a cloudy mystery somewhere that touches our susurrant intuitions- then again it can be only that of which our abacus is but a tool. We count the groups and reflections of the apples and the oranges or we turn the dials for symbols beyond some zero ground and beyond the radius of a sphere of the square of minus one and the messy transfer of heat by rearranging trigonometry between us and love's entropy's.