A Beautiful Torus

A Beautiful Torus
L.. Edgar Otto
01 May, 2012

That which came before and will so come does so now and never did in that edge of the world made all of edge... 

As I ended my last post for April this sentence strikes me as simple but more philosophical and intuitive than the geometry I find more concrete after reading tonight a link on newscientist.com concerning a problem of space solved by fractal like considerations which John Nash considered.

Let us not dismiss the wisdom of John Nash despite his diagnosis as what one would be called, well, "crackpot" seems to be the blog term these days, nor that he was a rather angry or mean person as reported by the son of his doctor.

On the news a couple of days ago the mini cupcakes and other small snacks was said to have become very popular in this calorie conscious society, It mentioned also that the constant snacking of the smaller things may be more than a large portion- the example as a little boy who while he did not have a doughnut he filled up nevertheless on whole packages of doughnut holes.

Still, if one takes this as a model for the universe, with due consideration for other principles I have set down, or for the structure of a particle, or issues of symmetry breaking alternatives and so on, one can see quite further than if someone will eventually consider this as a model as I have developed it herein.

This is the simple idea that a square region of space, I have called a quasic pixel or even a brane in a sense a quasifinite entity, also a dihedron at the zero point in such polyhedral kaleidoscope graphs We know from Coxeter that such tori are flat despite how they are described. I know also these need not be orthogonal but as the count of the sub pixels in my illustration above these are so, and the dynamic between the triangular figures and the orthogonal are of course important as a general principle. Note also that the description of such a square (or circle) is generally of some indefinite size or extent by Cantor. What the article point out is that if we take such a surface literally the vertical or the horizontal direction are subject to the same type of problems we have as in the spherical mapping into a plane, Riemann et al.

Such a difference may lead to divergent theories if taken literally this way (while the article suggest 3D printing of such objects they still cannot imagine this as a 4D object that would require better understanding of such printing in higher space.). Let us recall the view of things can be finite in the application of group theory counting that we agree corresponds to the continuous groups. How else could we imagine the Feynman diagram as rotated thru a right angle or even more some generalization of the diagram?

In the gene code, and the structures of things like the Dirac operators in general, we focus on the four elements in the matrix component. For example in quasic space, the article suggests is fractal like although far from generalized to higher dimensions as visualizing space proves rather difficult among such dimensions, four base as in the gene code GAUC can logically be represented as the point of the self dual simplest Platonic polyhedron, the tetrahedron. The point being I have a better way to state my case within this new topological model. In some ways we can generalize also as in the visions of Pitkanen upon such generalizations from the continuous approach of which the looping of such systems can attach to the physical environs as the finite region is after all capable of total description and connections in the ideal as one organism and the dynamics between such connections.

In the illustration above I take four regions of symmetry (just as I am growing tired of this way of drawing that seems trivial and pointless or boring after awhile) so to put them on my screen saver that they connect as if a torus spaces. These can be treated as separate or distinct regions in the count as I did with the notation using the 9 men Morris game, the connections I imagine as something akin to Pitkanen's space of generalized wormholes and mouths, at least in the abstract- this issue too of the tree plus one or two plus two formalism.

Clearly we have in the basic 4 by 4 grid six of the cells as if electromagnetic and ten as at rest in Einstein's sense of this magic square like matrix, in which case to extend the boundaries symmetrically that a torus is presented should they tile and match in the span we divide the sub regions into four sets of ten colors for forty regions and within it the 24 as if a hole in the center. This of course as if a antiorthogonal matrix comes from the permutation of the complimentary colors from the six of the sixteen, the four things taken three at a time. 40 by the way the close packing of five dimensional spheres or as not a closed matrix the twenty and so on. I style these the anti-Conway matrix. Note I used the #rrggbb reductions for the color safe colors for the sets of the tens with inverse and so on all very intelligible in the geometrical (finite and Euclidean counting).

Quasicity important then in the application of groups for such generalizations that now can be expressed as such tori at least in three and four dimensions.

With these principles and view of such supersymmetries in mind I wonder what those who will start to consider this geometric object make of ideas of the compacted six dimensional spaces. One simply cannot unify the sub vectors without at each point of a 64 Clifford like dimensional space without the information of four coordinates axes. Now this is a simple low dimensional structure hard to see but it is not that much harder to imagine say active fractal sequences that interlace for the explicit generalization. We may also ask from the quasifinite view if the expansion beyond the eight arms of their diagram relates to natural dimensions, that is if the complexity of spaces or manifolds increase as we peel the layers of atoms to finer and finer region of the center as evidently in quantum theory the values jump wildly. In the symmetry breaking also we relate the five regions in the small for the Tarski division and reassembly of spheres.

Lastly we imagine the dualism in the five levels of Coxerters polytope delta n which is a plane or brane of the successive symmetries five layered. But on any actual plane where things do not necessarily connect as one universe locally it is clear that there is some disorder in possible actual design in this sense hidden and condensed rather than compactified. I feel it a mistake or error of intuition even with this model to rigidly distinguish the count of universes as one or many as this is both a quasic issue of similarity and of higher than four hidden dimensions and symmetries even in one brane of which superimposition is a given, and signals or relations between cells where the sense is non local and this as if instantaneous we begin with Penrose's quantanglemenet requiring eight and not just for bits- and yes, even sixteen and so on in the higher spaces.

But is this not close to the idea of singularity points as envisioned by postivie only and not generally torus space of the hidden dimensions of compactification? In matters of entropy perhaps we need to develop an analog to qubits we could style quasibits... Surely we can do more with the math we have in these matters but we have to go beyond what we think is the most complicated and only spaces imagined today- configuration, Hilbert and so on... It is not that great a step to generalize a little more in these directions, but theory should show the details and finer definition of such structures as this torus. Let us consider too other types of tori in the quasifinite views such as the volume of a tesseract for example. I wonder if this simplifies genus as applied to knot theory and how things switch handedness at some point out into a looping infinity. Have some not imagined the brane as a super wall or edge of the universe... perhaps in these religious like cosmologies man's achievement in architecture after exploring the Dante like levels of heaven and hell is the taking of the Euclidean plane and standing it on edge as in the Islamic view of Heaven, for a start...



This sort of modeling of which things can move within the boundaries of the region relative to some central position can also be the way to model several of the subsets of general theories and explain their unification and divergences (such a torus universe can be conceived as expanding as if there is central pressure as in inflationary models, or can be thought of as cyclic ones and so on from some view where nature seems to balance such physical phenomena or their analogs.  The wider universe as a series of tori can be seen as open or closed paradoxically.  But these theoretical ideas on the structure of particles and the cosmos are within the range of human comprehension with just a little more work and careful ordering of these multidimensional thinking intelligibility. Now for the true topologist, what happens if we ask the same thing of the two holed doughnut and so on? What is this saying about space?  Let us not underestimate the zero polyhedron of Plato for that is also a breakthrough in culture as would be the discovery or invention of of the number concept.  Let us also imagine the mirrors in space, even the relative motion independent in a region like the arrangement of rhombs in a decagon in Penrose tiles is not necessarily relevant to the rest of the plane as a fundamental principle to exclude other physics, nor that such boundaries or edges or shifting of axes necessarily relate to complex imaginary content as if the subspaces as null polytopes of filled vacua is directly a physics of the dark matter ideas.

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[Note: the flow of this post could have shown more continuity of thought or arrangement had not my roommate came home drunk and cooking in the kitchen, and complaining about his life and parents and so on... but I think I got it down only I will have to wait until morning to post it. His is now a very predictable pattern.]

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PAX, SAX, XAP and the Compass of Cosmic Xtal Structures

PAX, SAX, XAP and the Compass of Cosmic Xtal Structures


L. Edgar Otto   30 April, 2012

Science tends toward the physical and natural and where the unity or reach of the concepts of the cosmos are matters of careful steps of speculation they are parsimonious in the drama of the vision.  In this sense I style them auxiliary to the reality of the philosophic and physical continua and ask, as if in an artificial system of language the core relation of such visions within our psychology, the reasons behind it and the sense of crystal (Xtal) ordering of hidden visions, and reasons for the transcendent reductionism involved in emerging symmetric systems as a matter of emotional stances of synthesis and analysis that emphasizes or divided the scientific humanism on some level from that of systems of a more religious sensibility, that between the Preternatural (PAX) and the Supernatural (SAX) as a third part of this dynamics in terms of geometric and numerical intelligibility (XAP) to the extent the cosmos can be so characterized as general unified patterns of information and meaning.

These concepts of a more expanded awareness of possible have been with me for a long time and have been matters of philosophers in general and in my time have carefully evolved rapidly as concerns of speculative cosmology of which the application of the concepts are not clear or even the conceptual models are strict enough they are not always compatible within simple choices.  We reach here a point of transcendence beyond all such systems as a dynamic one but at a stage of insufficient thought or information toward the awakening of the core intuitions. Thus I style these in the stage of the Transcontinuum (Xcm) as a careful and focused application of the dynamics for in these questions the usual next stage is a generalization of these as matters of irreversible or thermodynamic phenomena, questions on the nature of entropy and ends and beginnings, a sea of transcontinua as a wider totality, the Ultranscontinuum (Ucm) by which it is not clear in matters of Quasic crystal issues of similarity there are one or many such universes or some state that can permit a unified and perhaps further dynamical mixture of the concepts or transcend them as if the models of Quasicontinua (Qcm) are not just matters of neutral structures of which we cannot state its ultimate grounding.

This conceptual patterning seems to apply also to the idea of the philosophic continua starting with the Omnium (Om), our current level of debate as of total necessity in the Plutomnium (Plom), and he same concepts that are resolved into that between freedom and determinism, with non-necessity as a principle of the universal, existential, and mixed, and of the idea of vacua as vibrational filled or empty, into the solutions of the Teleomnium (Tlom).  But here we find again the quasi-cyclic theme at hand in these processes of the imagined and the relation to the real.

Clearly, the source in terms of complex analysis as a mathematical tool and general plane applied to explicit or hidden structures in its applied principles, say in the matters of electronics or exotic analogs observed in things like unexpected phenomena on the middle nano scale such as superconductivity or codon base or graphene effects is also a matter of these issues of relaxed but focused speculation.  As difficult as this post reads one can imagine how overly simplified and lacking in the depth of philosophy some ideas put forth by some of our best theoreticians read to me although along the way I can feel their sense of the drama of awakening to wider horizons. (see Lubos yesterday on a discussion of things like the breakthrough ideas on baby universes and so on). Of course the issue of the Casmir forces locally and between particles or at a distance also apply in the context of this possibility of abstract unification.

In particular for the complex plane we should question or generalize the idea of a source for the technical functioning or observation of circuits of amplification. It is not clear that cosmic patterns need a grounding of magical amplification or needs be seen as needed for the mechanism as amplified at all beyond the smaller changes in an analogy to the wider scales of smaller currents guiding the changes of a flow of the supplied energy source, a situation as in the chaos science nor that such systems cannot both be present depending on how we see what is zero and absolute or that there are differences before some origin or end state in the negative or complex visions of the vacuum.

A usual question in relativity is what is the nature of space and time outside the light cone, for example.  I can understand why Hawking would think he solves the problem in the separation of imaginary are real time so as to unify in concept the finite and eternal aspects (Om) of the question of if the universe one or many so resolved,  And from the philosophic perspective I understand how in our human psychology given such a neutral mechanism of string or even the quantum theory, that we do or almost conclude that string theory proves there is no God.  We can almost prove there is God of some wider nature by the same reasoning.  These are matters of science and philosophical creativity that may or may not have a grounding more than nothingness. 

These issues I reserve the term Theotericontinuum (Thcm) as a vague or real physical or philosophic possibility that at least explains some of the speculation by man in the religious area of contemplations.  But in that we put patterns on the cosmos and try to relate to it as analogies to philosophies of living things an idea like the organic evolution and replication of universes, or those with open or limited life spans or hidden sources of recording of widest events, the initial solving of questions by ideas like cyclic universes or inflationary models being within us as our own pattern, is suspect if these patterns are not of the maximum possible explanation and application of life forces to those of the more reductionist natural physics so to rise beyond our parochial values to at least a sense of literary universality. Where these philosophies hold sway in their day as if a relief from earlier trends of an old generation there is the sense of the dramatic and the reality of life and death in its actualization.  But as completeness, not analyzed, these remain suspect and but a hint of preternatural science.

The state of the vision in our day seems to emphasize in our quest for wisdom and technical experiments that of the theme or total system of reasoning here discusses, the model of learing or awakening I style the Neotericontinuum (Ntcm) which seems our general experience subject to these paradoxes of the totality.  In a sense all such enquiry is a sacred act as well as a moral human act to which other continuua may be worthy of the name or have these divisions or links to other views that color our thinking positions, the nature of thought in itself, and philosophic or psychological questions of dreams as sources of amplification of artistic freedom or the extreme of determinism leading to overly closed and just as mentally unsound universes.  How else might voices in someones head or the creative sensitivity in general seem to be otherworldly and outside the self with the force of commands in the name of self healing or just a level of learning as chaotic confusion? In that psychology is about the hidden and esoteric it seems to me to become close to our ideas of a science, a physics.

Where we conclude there are twelve things in the count of solutions to equations as in  Dirac and the five fold questions the equations simplified seems to tell us or to such numerology involving finite or continuous groups where they seem to meet or seem never to do so as an established fact worthy of defending as a tool for distinguishing a scientific truth and dramatically, emotionally, I give you in the illustration the metaphor of color and music- for in the organic realm as a model on the low levels of such dimension that we do not hear the higher dissonance we only see the five or ten of the folk scales or rock scales and struggle to name our chords without the two blue notes as all this shifts in key or is tempered, halved or doubled the tones in all the divisions of numbers as density in a circle of fifths- so too we imagine a difference in handedness that supplies the organic struggle, energy, of survival and yet defines and divides the species from some path of replication as if it the nature of things to have this ratio of the real and hidden where we discuss the apparent anomality of ideas of dark matter, fluid analogies, and energy anomalies. 

Humans in their bicameral bilateral symmetry, sought or considered as beautiful in reversible or irreversible equations with higher hidden symmetrical mirrors or not between the dialectic of existence and non-existence can have more realistic visions of the world given both the creative and philosophic aspects of the meaning and information we find in the unity of the music.

That which came before and will so come does so now and never did in that  edge of the world made all of edge.  But this may not be all there is.  When will we know?

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Lubos, just after my posting posted this interesting bit of the philosophy of science of which we shall let the readers judge it for itself. Let us try to seek a wide range of perspectives in the Liebnizian  background of accepting all inputs for our enquiring system, and let us realize too Mach and Newton have backgrounds to compare things- and try for reasons or not of their validity or unification.  Also, all this does seem to lead to a more general background, at least the pointing towards one as in the continued evolving of the string theories as Lubos suggests.  Let us however see science as a matter of permanent passion if not revolution. Did not Planck say new ideas only come to be accepted when the old generation dies off?  I suppose it was a good thing Stalin came along to prevent the contradictions in history of Marxist theory?  That itself is indeed logically an enquiring system that puts emphasis on the idea of materiality.

Signals and Messages between the Preternatural and the Supernatural Aether

Signals and Messages between the Preternatural and the Supernatural Aether

L. Edgar Otto    29 April, 2012

Our concept of "hidden symmetry" and ideas developed from it, as advanced as it has seemed, is not intelligible enough and can be logically and intuitively flawed on the level of physics we strive to apply it.  Much of the debates of perception and methods of science is the struggle, within our unique psyches or soul is the working it out in systems and theories aimed at least disambiguation of the concrete or abstract, the synthetic and the analytic biases in the bringing out what is hidden that becomes since the awakening of Hellas, the motive of science.

 There is nothing hidden that is not already the effects of symmetry.  It can follow that where symmetry is understood in theory as concrete that deeper effects or regions of concern, such as myth, are reduced to vanishing at first encounter with the awakening of analysis.  In this sense something like string theory while intelligible and abstractly apparent shifts to that which is ultimately a hidden description of physical reality. Symmetry is the hidden and the hidden is symmetry.

I suggest then we assert the identity or the distinction of the preternatural and supernatural as if one continuum or concern that of course is intimately related to the state or cave of our minds and souls and what we are capable of perceiving as to what exist only within or outside of our compass of existence.  This philosophic conception seems to me especially useful in the understanding of our feelings and dreams, in the physics of systems of communications as to what is the signal and what is the message and in what distinct level of the virtual or real these apply.  In a sense the message is the issue of the symbols and meaning in the Chinese box or what is the invariant of fire on the walls of our perceived caves. 

But the asking, the literal question of what is pseudoscience or even our own sanity if we by defect or higher wisdom perhaps goaded to explore the mystical that becomes intelligible science because of some personal tragedy- as well as that to which we cannot see as if in superstition the parallel worlds that we conceive of what could have been or is potentially in us as with everyman  "there but for fortune goes I."

When we ask while in the dream about the signals and messages, or in the reality, or in a virtual analog of it, it is clear that this evokes an awakening from sleep to which we are disoriented for a while, or the escape back to oblivion.  The question then is are there mechanisms in which for other possible states of realty we can escape the cave and understand the symbols we ourselves write on walls, thus in these higher connections better relate in real ways how we live together and set earthy enduring bonds, or survive our intellectual explorations. 

We can fall asleep listening to a sermon which is too far above us to comprehend or we can fall asleep if the joy of the fellowship is so childlike and seeming an endless repetition of the obvious unto boredom- of which to be that could indeed indicate something of the state of our struggles for wholeness and self unity integrated over our life times and instars cued by the genes and chemicals. Or in the practical mind a sign of new growth and our own sources of technical innovation.

How wonderful this vector tool for drawing dreams and something that may be the gate for genius we think we see when such distant colors we respond to as fine art, with the discipline for myself to try again to find something there of which I have no premonition something new will be found as is he case usually we have some sort of sense of a possible answer at the end of a blind quest of which it is perhaps the symmetry and not that hidden that in the end joins two tunnels to proper alignment as if the construction through a mountain of train tracks or as the shadow models of polytopes the context so aligns in the end, this vector game that does so many things I did  with less to work with.  But it does not matter if such games increase our ability to understand or work well in other areas of life, or if they distract us, if we also abandon our sense of the deep programming, the logic and the reasonable results locally and globally.

I quite imagine my illustrious great grandfather of the Otto cycle gasoline engine, an invention inevitable, a dreamer that solved the knock of the smoky cloud of the fusion in its day once steel as well could contain the explosions, and once the cycle could be mapped by the engineers as a graph of useful work and entropy.  But the applications are another story by which from the first wooden motor bike past the age of iron and steam revolution, new tractors, and personal vehicles for the masses until the environment is met head on and the once test pilots, shuttle commanders, and  Phaeton becomes not the worshiped heart surgeons but the bus drivers and days off for a ride into the country in the name of forgotten Memorial days until the burden on our shared world is taxed too much.

But there are other engines, yet even in this age of oil there is the Mazda- and sooner or later, because of the depth of its circularity, the transcendental values in the numbers get out of sync- thus the usual problems with continuous ideas over the discrete.  On the other hand what is the use of this Geoalgebra program if it just plays in the plane and finds the simple finite symmetry inherent in numbers and for similar reasons tend to stay ambiguously hidden so as when some pattern or process comes up we are surprised, if in the description of the segments that form a polyhedron if these were linear it would be a simple matter of the hidden symmetries of modular arithmetic- much as in the number of teeth in the Spirograph one can find at least some of the pieces in old thrift stores after they were sold as a children's game.  What is obvious should not be so because of hidden principles such as this, so beyond what is obvious in physics or should be to young children.

I have had some reservations lately about just how well my message or signals is perceived in this internet medium- that itself an awakening and the desire to find something else from the rote training called education, the boredom of the imbalances of the overly simplistic or incomprehensible Oxford style lecturers who really have to teach some restraint as to what is hidden in themselves that it be hidden with the assurance the wisdom will come, in their students.

These are multiply hidden things of doubtful unification in the remote of ideas of symmetry and in effect border on the supernatural while still in the preternatural realm we see as some difficulty of the compass of non-linear things or if we so desire assert there is nothing to such unity in the end but some mysterious directions or balances in our environs of the state of our time.  Thus what may be truly supernatural and a way out is lost from our sight and is a false preternatural mystery of the greater physics.

All this said the source of this post was last night's dream with sufficient sleep and many surprises using the Geoalgebra program ( of which so much of the patterns of numbers are its tools already therein).  But in the natural structures of the dream, I send a Frisbee with the message to a friend far away but can only throw it so far as so it is very unlikely to reach her much as a message in a bottle tossed on an endless sea.  Yet it falls in the mudflats, makes an impression, and that becomes a fossil in a museum through many years she passes by and reads. A friend remarks that I made target after all, perhaps in faith.  Alas I say but I only threw it to her in my dream so I awaken.  Thing is, in the nature of unique memories stored in dreams in the dreams and of the chemistry of recall and awakening, I could not recall the message- just he signal.  I do not know if her reading it means I no longer can- such is the concrete meaning of our scribblings of symbols anyway that may be more than how these things are set into higher natural space.

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Robin Red Breasts, Scarlet Tanagers, and Other Songbirds

Robin Red Breasts, Scarlet Tanagers, and Other Songbirds

L. Edgar Otto    27 April, 2012

Colors and the logic of the vexilloids, the light of qualia
How simple to our ears their depth of sight and bird songs
High towers gossamer, guy wires halt their migrations
Their fill of the clouds of flies but not iridescent butterflies one can see from the Enterprise

or the Viceroyalty of Mexico those too migrate, skipping a generation, magnetic poles

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In the Overworld colors are not simply qualia, some point of vague philosophy for the extension in the span that knots and braids are justified between bonds of creative objects. Nor are they a matter of quantity. Like abstract vectors that can draw forever in a scale of depth or turn to some vanishing of Cantor dust the dimensionless  is and is not a necessary dialectic of quantity and quality, particle and wave.  A third thing I thought of yet, quality, quantization, and quasicity in a trinity (or Triality) of sorts in zone we think between the replete spaces of three and four (thus the special mirrors of the right angled Platonic solids) and so on. 

Thus we also justify our intuitions, or perplexities of hierarchies in the physics and what may or may not collapse into some idea of entropy or ultraviolet catastrophes.  All this in the persistent sense of unification as well unique evolving diversity beyond the philosophic and preternatural vacua and continua.

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LHC discovers new particle usb...

something about asymmetry and ordering of braids etc... see Kea's blog... here I just am thinking about this and wonder if it should have not been a surprise among such experiments as is other surprises no one is certain about.

Is Pseudospherical Pseudovector of Four Colors a Pseudoscience

Is Pseudospherical Pseudovector of Four Colors a Pseudoscience
L. Edgar Otto 28 April, 2012

I wonder if we can find a more elementary proof of the four color theorem. Or for such recondite theorems in general as some have suggested this is an example of how we know pseudo scientist

One of the bloggers I follow cited this monomania with the four color theorem said as much in a post of yesterday. I found it put forth in an exchange in the comment section of Kea's blog and not knowing better I added in a post my take on the use of colors as such. In the process where they were studying certain aspects of angles they exchanged a program called geoalgebra which I took a look at and recently found it a pleasant way to enhance my digital pictures beyond the limitations of symmetry in paint.

I understand the problem cannot be solved as we do not know somewhere out in the flat plane, or prove we may not find say a fifth color. I understand the problem was solved by a computer by inelegant brute force computations of the possible cases but not beyond a certain point was needed- and there was other deep math methods involved as those who are familiar with the methods are well aware.

Once in the late 60's religiously buying copies of New Scientist in Cambs I would work out the recreational math puzzles and this problem was one. Intuitively I adequately understood the problem because from my view the answer given for the diagram was wrong- how can a great science magazine be wrong I asked myself. It was in the next issue that an apology to the readership was given. I merely saw the problem not as colored regions but those as points in a connected graph- to approach also from another method albeit a much more trivial one than the modern proofs.

Now in the Geogebra I noticed the conics through five points button and of course this intuitively relates to so many things my patterns of five in the quasic grid or say Galois and in general the vague idea of five dimensions and so on. As I said I see Pitkanen's work as related to a form of hyperbolic geometry and am not sure it is or he sees it this way. To see the pictures in some degree of motion is more instructive than still pictures in general, less working dynamics in the dark.

But what I do not know is if this program has a limitation of these five points as only a matter of programming or if it is one of the intrinsic properties of numbers, including how we see the math to program vectors and so on. Can someone with better training tell me what I am seeing here and if I should be seeing much more? I begin to wonder if there is some reason I do not get direct discussions on my work itself when I see very uncivil discourse between those who demean or defend theories. All these words and no one has bothered to challenge me in the work itself, why? when I have seen some on line I understood judged or given the appearance their idea was soundly trounced and they vanish in disgust or perhaps embarrassment.

Now it occurred to me to draw the five points on the grid (hmmm I should try this with the hex grid somehow) but to compare the quasic and the natural right to left ordering. The ordering within any five is irrelevant to the resulting quadratic, that is the natural system always results in the span of parallel horizontal lines- or in some cases we have sloping pairs of lines for the orthogonality of things is preserved as a principle even between the hyperbolic world (and its mirror) and the quasic world or plane, (brane). This of course is as if we embed an Euclidean plane in a hyperbolic space much as Rene Thom with his catastrophe universal topology embedded elliptical space in the Euclidean on in his, yes, controversial Universal Topology of say 1974 or so, meaning in someones eyes this was pseudoscience at least in its conclusions for say animal behavior.

Now I have said, for example in the gene reading theory that the 25th and 35th depending on how one counts is the initiator and terminator in the quasic grid of the codons. Interesting things happen in the drawing in the order and beyond say so many multiples of 5 not reaching the entire plane of 60 or 64, the program stops working or cannot see beyond. Nature may be quasi quantized this way. It would make sense the distinguishing of the fermions and bosons and so on to be from such principles as Pitkanen-Otto or Thom seemingly restrictions from the geometrical formalism. Certainly the genes seem to allow both the uniqueness yet continuity of an inheritance line of individuals- most likely at the fundamental level including the spherical space views- much as if the duality of particle and waves, or the triangles and squares (orthogons and simplexes in the dimensional analogs and yes the 2 + 2 or 3 + 1 arithmetical aspects of four space views in the physics as well as mirror quantization intrinsically and not just some idea that is said to be justified by a principle of handedness as chirality applied to say half or doubled particles. In fact if we understand the mechanism the string idea of spin identities this too in depth would confirm this sort of general topological and looping gravity as quantized at least to the five fold principles of a unified theory.

Now in the count the hot and cold colors that I enhanced the drawing with, there is a new color I drew brown although in principle there is the possibility or uncertainty of a fifth in one drawing but that could be because of my choices or ordering of colors or say the idea of that higher number of superimposed Euclidean dimensions such as the ten, eleven or twelve as a favored description in these times of higher spaces that involve higher spaces of compacification.

Note I tried to arrange some color pairs as if to let the hyperbolic regions stand out as if in depth and suggest there are non transparent regions thereby as a sort of hyperbolic Venn diagrams to show the points of intersection.

Now why or where are their spinnors and what in a more general theory where we have declared limitations too soon can we ground the ideas of the quantum and qlassical (GR like analyses included) of physics that as a unified theory has been asleep to foundational progress for decades now? None of this will undermine some earlier gains in views and methods so the debate on such ideas is one of a matter of just artful views and quite beside these ideas to make further progress in understanding.

The Corn and the Red Winged Black Birds

The Corn and the Red Winged Black Birds
L. Edgar Otto    27 April, 2012

How close the insect and the milkweed as if one being, depending on each other, specialized and tied together, scarcities and all or nothing drought or plenty

The air force of black birds come to the harvest like locusts, know no better than to leave nothing they find save a swath where the soil as all soil tilled blows away to clay as dust

The Earth rolls over in her sleep churning up mountains living imprints on her skin, drooling on her pajama sleeves and when the sky jamed meets ice rivers volcano snores

The two party system inherently unstable, persists, takes the empire army colors and double eagles for their flags and those who pray to symbols think anthems always their own

I choke on tarballs while I dolphin play, slowly die of grass and meat my blood crystallizes into soot and diamonds implosion in its echo as I stumble as I walk, exist

The bones and ferns ooze from my skin, as light renewed molasses slow or but a twinkling although so few the freckle stars that set my path of time connected sunburned wrinkles

The tar pits hold but shadows and empty voids of marrow as if but yesterday at once they turned to stone and glowing methane, hemorrhaging, incontinent, growing breasts

As if to turn the corn to oil again in triple bypass the middle man of elephants with vestigial fingers returned to live in seas
looped tops of food chains spawn mad sacred cow disease

For ivory and the dreadlocks double horns of rhinos the poachers hack their face to sell as modern myths of snake oil the cure in some hidden plaster of shark fin, and turtle farms

I explore the mudflats by the estuary brine, tidewaters teeming wild life, brave screech and dives as I come near her nest, I make her scarlet on dark wings my totem flag

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A humble bee alone less likely stings in sacrifice my bare feet stepping on, my calloused heels running over razor sharp shells of spent oyster beds cannot cut fleet feet, hot coals,

noon suns all day that cannot burn, we walk in runs awhile on water or jumping through the cane break to reach fresh and not egg rot clouds that hover near the roots and ground

where I can fly in the fellowship of dragonflies that dart around me too fast to catch by hand, or butterflies that sip the asphodels, all on the make not voracious larvae stalking

minnows, to get a good view of their iridescent wings one has to stumble on their dried hollow exoskeleton not green blood, scent tree sap of June bugs on a leashes of thread

I am but a reed to them, I stand still and hold a finger to the sky, and one alights in rest and preens its many legs as the shadows move, not as he flies with seeing compound eyes

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State of the Artisan Wells of Creative Vision

 State of the Artisan Wells of Creative Vision

L. Edgar Otto   26 April, 2012

If in the thinking some alpha state where the white noise brings the peaceful cloud as we go blind into the light for lack of challenge or as enduring states and cycles of thought the thinker in the familiar and natural world sits in contemplation, his best and lesser sides presented to the camera beyond the scene and throughout the free hour of enquiry we find him thinking about the hidden reflections of himself in the dream and observing the dream, the white or pink board and the marching in line, waiting, against the school room board where in the end when all is left but the desert of concrete and smog we dye it green and fill it with the chalk dust of others as we bedeck awhile the broken dreams on the checky shores of infinity that Newton faced- on his philosophers walks and writings in the language of Holy Euclid and Latin that the people could understand.

In such a world, the source of dreams, sometimes the prison for a child as hard as the seeming endless labor of his lifetime he will not miss until expelled from the cave and garden, all is but art after all in the pallet of this world, and what I have casually done as the sand when wet will harden proves but art after all and not just some hopscotch pattern for I know I am but a child with a color box and wide eyes that leaves some drawing, such perhaps is the God, of many things including the Lilly so arrayed beyond the wisdom, until the rain, the rain that is there because the real flowers will drink of it.

Yet I know I am not that good a sculptor for as in the Thinker and the Kiss, the Soul and Love cannot be broken.  But here in the printing made of light and dust, grass and steams, blues and greens, cold white snow and cardinal feathers out of place some season upon it, was made by hand and not of one piece that came together as love and wisdom seeks to find itself whole again by the quills and ink and quoins that start our rusting and suspended bridges of disbelief- so in our journey of bonds and secretes, that salamander between being and non being so said he who saw no windows in all he possible worlds and architectural spaceships of our ongoing modeling in real time of our cities and cathedrals or having forgotten to read after the plagues we work in the creeping lead the creeping stained glass windows.

If you have not seen and felt the day, the wind and trees and the grass and ghostly pebbles the gnomes once gods but solid stones, or the river so whispering soft its star song, or seen someone lost and hurt in dreams that must doubt yet hope that love breaks through the dance or never will by our intimacy of dreams shared with each other alone even with the soft warmth of flesh once encountered and in the memory of light's twists and turns at a distance is not forgotten, I do not know what it is that thinkers may share of words and colors when release of hopeless dreams is the death of dreams themselves, the salve and glue of love not the honey of which we hoard too much and it is sweet that all smaller things instinctively desire to eat us- how full of sweetness she was says he. If you have not felt at least this and known this and seen this My Child of Earth, then you have not understood me, nor yourselves.

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