Showing posts with label Music. Show all posts
Showing posts with label Music. Show all posts

Sunday, April 22, 2012

A Musical Score on Particles?

Schema created by Vicinanza with an example bubble chamber particle track, which has been converted into a melody and then orchestrated as music. Image courtesy Domenico Vicinanza.
Positrons – antiparticles of electrons, a trillionth of a meter in size – make no sound. But with a little help from the grid, music composer Domenico Vicinanza is giving positrons a voice to lift in song.

Vicinanza, a network engineer at DANTE (Delivery of Advanced Network Technology to Europe), is an old hand at using GILDA (Grid INFN virtual Laboratory for Dissemination Activities) e-infrastructure, which is part of the European Grid Infrastructure, to blend science with music. In the past, he has derived music from volcanic seismograms with the City Dance Ensemble, and re-created 2,000-year-old Greek music with his troupe, the the Lost Sounds Orchestra.The smallest music in the universe

Also See:

Friday, January 12, 2007

Music of Hemispheres

Hearing Colors, Tasting Shapes By Vilayanur S. Ramachandran and Edward M. Hubbard

Modern scientists have known about synesthesia since 1880, when Francis Galton, a cousin of Charles Darwin, published a paper in Nature on the phenomenon. But most have brushed it aside as fakery, an artifact of drug use (LSD and mescaline can produce similar effects) or a mere curiosity. About four years ago, however, we and others began to uncover brain processes that could account for synesthesia. Along the way, we also found new clues to some of the most mysterious aspects of the human mind, such as the emergence of abstract thought, metaphor and perhaps even language.
See here.

Who would have thought to present such an "overlapping of the senses," to think, that our life is much better defined in all that we can become. While we "concretize" our views about the matter states . "IN principle, in our convictions, and no less, then the "what of change" in our human constitutions.

Images courtesy of Vinod Menon (Stanford University)-Images from an experiment to locate the neural regions of the brain involved in listening to music. Daniel Levitin and another scientist scanned the brains of 13 people as they listened to scrambled and unscrambled versions of a tune.
“By the age of 5 we are all musical experts, so this stuff is clearly wired really deeply into us,” said Dr. Levitin, an eerily youthful-looking 49, surrounded by the pianos, guitars and enormous 16-track mixers that make his lab look more like a recording studio.

This summer he published “This Is Your Brain on Music” (Dutton), a layperson’s guide to the emerging neuroscience of music. Dr. Levitin is an unusually deft interpreter, full of striking scientific trivia. For example we learn that babies begin life with synesthesia, the trippy confusion that makes people experience sounds as smells or tastes as colors. Or that the cerebellum, a part of the brain that helps govern movement, is also wired to the ears and produces some of our emotional responses to music. His experiments have even suggested that watching a musician perform affects brain chemistry differently from listening to a recording.

Of course these are "matter states" defined and "of measure."

Synesthesia (Greek, syn = together + aisthesis = perception) is the involuntary physical experience of a cross-modal association. That is, the stimulation of one sensory modality reliably causes a perception in one or more different senses.

But yes indeed, what of a more "quantumly defined view" about what is not seen? Least I say, with "conclusive proof" that all these states of being in our human structure, and without measure are "not true?" Then what use "any method" that I would say and develop of value to "other defines states" of being, other then the "physical?" Emotional, Mental, or spiritual?

Sir Isaac Newton

It is true without lying, certain and most true. That which is Below is like that which is Above and that which is Above is like that which is Below to do the miracles of the Only Thing. And as all things have been and arose from One by the mediation of One, so all things have their birth from this One Thing by adaptation.

Babies Begin Life with Synesthesia

It is not without wonder then, that the child in us all, was in a better defined state of existance? Before, the "focus of structure" along with the views of the physical body, could have "pronounced the reality" with "all the things" that make each of us human to our reality now.

Whilst it "may have been" less complicated then "before," we assigned each of our senses accordingly to what stimulai will activate the "different regions of our brain?" These are learnt and developed states, that has "past our meddling", to have now become engrained in our physical makeup? What then, are we to evolve too?

Society with the way it now is, is focused in the "communication era of computers" and such. What attribute of the mind/brain is being developed, as we physically type on the keynoard in front of us, whilst we communicate on a level of mind that is less then the verbal sound communications our mouth's manifest in relations?

Sunday, January 07, 2007

PLATO:Mathematician or Mystic ?

Mathematics, rightly viewed, possesses not only truth, but supreme beauty, a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.--BERTRAND RUSSELL, Study of Mathematics

One should not conclude that such a bloggery as this is not without a heartfelt devotion to learning. That I had made no great claims to what science should be. other then what a layman point of view in learning has become excited about. What may be a natural conclusion to one who has spent a long time in science. Do not think me so wanting to knock on your door to enforce the asking of education that may be sent my way was truly as a student waiting for some teacher to appear.

This did not mean I should not engage the world of science. Not become enamoured with it. Or, that seeing the teachers at their bloggeries, were "as if" that teacher did appear many times. This is what is good about it.

I did not care how young you were, or that I, "too old" to listen to what scientists knew, or were theoretically endowed with in certain model selections.

More from the Heart?

"Let no one destitute of geometry enter my doors."

You know that by the very namesake of Plato used here, that I am indeed interested how Plato thought and his eventual conclusions about what "ideas" mean. So, of course there is this learning that has to take place with mathematics.

If I may, and if I were allowed to fast forward any thought in this regard, it would be to say, that the evolution of the human being is much appreciated in what can transfer very quickly "between minds" while a dialogue takes place. Hence the title of this bloggery.

Science demands clarity, and being deficient in this transference of "pure thought" would be less then ideal speaking amongst those scientists without that mathematics. Yet, I do espouse that such intuitiveness can be gained from the simple experiment, by distilling information, from the "general concepts" which have been mention many times now by scientists.

So it is of interest to me that the roads to mathematical understanding through it's development would be quick to point out this immediate working in the "world of the abstract imaging" is to know that such methods are deduced by it's numbers and their greater meaning.

That such meaning can be assign to a "natural objector function" and still unbeknownst to the thinking and learning individual "a numerical pattern that lies underneath it. A "schematics" if you like, of what can become the form in reality.

No reader of Plato can fail to recognize the important role which mathematics plays in his writing, as would indeed be expected for an author about whom the ancient tradition maintains that he had hung over the entry to his school the words "Let No One Un-versed in Geometry Enter". Presumably it was the level of ability to work with abstract concepts that Plato was interested in primarily, but if the student really had never studied Greek geometric materials there would be many passages in the lectures which would be scarcely intelligible to him. Modern readers, versed in a much higher level of mathematical abstraction which our society can offer, have sometimes felt that Plato's famous "mathematical examples'" were illustrations rather than central to his arguments, and some of Plato's mathematical excursuses have remained obscure to the present time.

A Musical Interlude

Plato's Academy-Academy was a suburb of Athens, named after the hero Academos or Ecademos.

I can't help but say that I am indeed affected by the views of our universe. In a way that encompasses some very intriguing nodal points about our universe in the way that I see it.

While I may not have shown the distinct lines of the Platonic solids, it is within context of a balloon with dye around it, that it could be so expressive of the Chaldni plate, that I couldn't resist that "harmonics flavour" as to how one might see the patterns underneath reality. How some gaussian coordinates interpretation of the "uv" lines, that were distinctive of an image in abstract spaces.

Thursday, November 02, 2006

Understanding the Tonal

Sir Isaac Newton

So, you have your units, and the powers of ten?

Distances shorter than 1 µm 1 micrometre (micron)
Items with lengths between 1-10 µm (microns)
1.55 µm — wavelength of light used in optical fibre
6 µm — anthrax spore
6-8 µm — diameter of a human red blood cell
7 µm — diameter of the nucleus of typical eukaryotic cell
7 µm — width of strand of spider web
1-10 µm — diameter of typical bacterium
about 10 µm — size of a fog, mist or cloud water droplet

While I may have a complicated image for you to digest here, what values would you assign what you had never previously seen?

Would you change in the dynamics of your thinking had you known that all the results of the "thought process" had it's effect too?

Kandinsky, himself an accomplished musician, once said Color is the keyboard, the eyes are the harmonies, the soul is the piano with many strings. The artist is the hand that plays, touching one key or another, to cause vibrations in the soul. The concept that color and musical harmony are linked has a long history, intriguing scientists such as Sir Isaac Newton. Kandinsky used color in a highly theoretical way associating tone with timbre (the sound's character), hue with pitch, and saturation with the volume of sound. He even claimed that when he saw color he heard music.

Will scientists ever understand "this application" that when applied to the statements of their thinking, and "voiced from their reasons," that if not supported properly, can cast a wide and ugly shadow over the whole process?

Wassily Kandinsky-Yellow, Red, Blue
1925; Oil on canvas, 127x200cm; Centre Georges Pompidou, Paris

Well as you know, most of us cannot help our backgrounds as we talk about the sciences, or the ways in which we will attack science, based on the knowledge we have accumulated. These give the pursuit's a certain "flavor" based on the approach and meaning being conveyed? As one tries to paint this picture for us.

In my case, about the effects of "what the sun may mean as a central theme."

While based on previous knowledge of the things that help to form an idea about the tonal, vague and mystique, less then the desire of science, it does not reduce what affect is raised here?

I may indicate the very human being in it's colored thinking, but want to look at the science process itself. Nor do I wish to be blinded by such clarity that I be stopped on the road to knowledge accumulated of old age, that the path may indeed finally produced some fruit to bear.

The Sun then, becomes a powerful image/mediator of all the things that we will learn as we look at it's effects. These are as if, in the mind once settled to their private views, try to help through expression want to paint a picture of the world in it's mysterious ways.

Tone color is also often used as a synonym. People who experience synesthesia may see certain colors when they hear particular instruments. Helmholtz used the German Klangfarbe (tone color), and Tyndall proposed its English translation, clangtint. But both terms were disapproved of by Alexander Ellis who also discredits register and color for their pre-existing English meanings (Erickson 1975, p.7).

So while I debate the nature of what the tonal means, it is not without recognizing it's source that we could take in all that we know, may find of our views have now changed some? Try and deny it, and such theoretical models, have not without it's recourse said, that you remain the same in your views, and have not outwardly changed anything?

German photographer and artist Karl E. Deckart is known for his thorough, precise, and beautiful work both in photography through the microscope and with macro camera systems. This gallery of interference photographs made with soap films is a testament to both Deckart's skill as a photographer and his understanding of the physical phenomena that surround our everyday lives.

Staunch in our positions and thinking, while holding to the familiar, we may provide for a much more colorful picture, yet, find the principals by which we stand, do not have to change while held by sciences. It's as if, we have "crossed the wires," that the way in which we now see has had color added to it? While previously in cosmology, it was still a very beautiful picture, is, still a beautiful picture.

Sometimes we might need visual aids. So, I thought I would add this in relation to the question, on how would we see these dimensions, if we accept the gravitons in the bulk? Aug 7, 2004 3:46 pm

I added this comment to Backreaction's post because of the way in which my attempts at theoretical modeling had me trying to make sense of the world that had been so abstractly painted.

While one can indeed convolute the world with so much articulation and example, what use the "whole story" if it could not indeed be reduced to the one equation/the physics, that would help us make sense?

Tuesday, October 24, 2006

Raphael the Painter

By 'dilating' and 'expanding' the scope of our attention we not only discover that 'form is emptiness' (the donut has a hole), but also that 'emptiness is form' (objects precipitate out of the larger 'space') - to use Buddhist terminology. The emptiness that we arrive at by narrowing our focus on the innermost is identical to the emptiness that we arrive at by expanding our focus to the outermost. The 'infinitely large' is identical to the 'infinitesimally small'.The Structure of Consciousness John Fudjack - September, 1999

Self-portrait by Raphael

While I am no great philosopher, the idea of truth was very important one to me. Finding some method by which to proceed was very difficult without the teachers handy. So I learned to trust my intuition as I was lead from one place to another. By it's own design, the correlation I termed in relation to cognition were very important discover about my own potential. I had to symbolically discribe the very actions of what goes in, and what comes out, turns through that channel in much the same way a electromagnetic field governs by analogy the principle of life around the human body, as information passes through the center.

If conceived as a series of ever-wider experiential contexts, nested one within the other like a set of Chinese boxes, consciousness can be thought of as wrapping back around on itself in such a way that the outermost 'context' is indistinguishable from the innermost 'content' - a structure for which we coined the term 'liminocentric'.

Will this become part of the greater complexity of the life form, as information becomes part of the larger context of the souls growth? How is that measured? How is t external world brought back in and then turned outward, and the "colors change" as the truth begins to dawn?

For me the story here starts with a painter and from the very painting itself, one can imagine a larger story unfolding, as one peers into the center of the School of Athens.

For now, the music is set aside, for the "foundational perspective" that issues forth from this blog.

I added this biography of the artist himself and "crunched" behind him is a speculation of a kind that becomes the basis of this bloggery. It is about observation and the search for truth as we look at the work of Raphael and the following information that I hold in consideration of this painting.

Our attempt to justify our beliefs logically by giving reasons results in the "regress of reasons." Since any reason can be further challenged, the regress of reasons threatens to be an infinite regress. However, since this is impossible, there must be reasons for which there do not need to be further reasons: reasons which do not need to be proven. By definition, these are "first principles." The "Problem of First Principles" arises when we ask Why such reasons would not need to be proven. Aristotle's answer was that first principles do not need to be proven because they are self-evident, i.e. they are known to be true simply by understanding them.

Do we know what Raphael was trying to impart through these images?

Inductive and Deductive

While holding the School of Athens by Raphael then picture in mind and consider the following?

Aristotle from a a posteriori leads perspective in one way, and Plato a prior?

PLato saids, "Look to the perfection of the heavens for truth," while Aristotle saids "look around you at what is, if you would know the truth"

So from that basis look at what is portrayed in the opening statement above with regards to Plato finger pointing up and Aristotle's hand sweeping pervasively?

So while I lead one through a vast maze of links here it is not without doing my own research that I could now point you to wikipedia for examination of the many things that we could learn of Plato. Imagine Plato continues to live through all this information?

Without Plato a a personification of the some of the ideals I have, I know who I am. The sun as a symbol of enlightenement? Then following, Plato's Cave Analogy?

As a beginning, you see I started to point out some of the more important features of the leadng perspective of Aristotle, and the link I see to Robert Laughlins building blocks of matter?

But before I jump so far ahead, maybe it is indeed useful to link wiki here so one gets the jest of what may be implied by an example?

Epistemology or theory of knowledge is the branch of philosophy that studies the nature and scope of knowledge. The term "epistemology" is based on the Greek words "επιστημη or episteme" (knowledge) and "λόγος or logos" (account/explanation); it is thought to have been coined by the Scottish philosopher James Frederick Ferrier.

Much of the debate in this field has focused on analyzing the nature of knowledge and how it relates to similar notions such as truth, belief, and justification. It also deals with the means of production of knowledge, as well as skepticism about different knowledge claims. In other words, epistemology primarily addresses the following questions: "What is knowledge?", "How is knowledge acquired?", and "What do people know?". Although approaches to answering any one of these questions frequently involve theories that are connected to others, there is enough particular to each that they may be examined separately.

There are many different topics, stances, and arguments in the field of epistemology. Recent studies have dramatically challenged centuries-old assumptions, and the discipline therefore continues to be vibrant and dynamic.

So while some would point to the very functions of perceiving aspects of the higher self, if there is such a thing accept in one conceptual framework, or messages from God, as Ramanujan received the equations in dream time. I think of this as a very dynamical process, that each of us possesses. If without the teacher to guide us, then the teacher most certainly makes it's way into the mind for observation?


Innatism is a philosophical doctrine introduced by Plato in the socratic dialogue Meno which holds that the mind is born with ideas/knowledge, and that therefore the mind is not a tabula rasa at birth. It asserts therefore that not all knowledge is obtained from experience and the senses. Innatism is the opposite of empiricism.

Plato claimed that humans are born with ideas/forms in the mind that are in a dormant state. He claimed that we have acquired these ideas prior to our birth when we existed as souls in the world of Forms. To access these, humans need to be reminded of them through proper education and experience.

While it is referred to the young born into this world, what said that any person could not become that "blank slate" that would allow the wider perspective of what has been lived, is not confined to this life, but is exposed as that channel is opened for the wider perspective about life?

I say,"
I mean really, if, each of us is born into this world with such a blank slate, then how is an idea incorporated into such a design of our blank slate. Especially, if there had not been some influence predisposed, to draw ideas into the appropriate environment for consideration?

While we provide for the nurturing aspect of creativity to express itself, we find that such freedoms are encouraged by observation of the introspective attitude we gain by learning about ourselves.

The Medicine Wheel as a Mandala

It is not so much that we learn about the very "drawing here for you" but that it is circular in nature, and by the very discription the mandala is pretty "clear cut" as to what manifested from a deeper level in my own mind.

Now what you do not understand is that the center is very important feature on what we focus on. While the "purity of thought" is presented here. It is the idea that the closer to the source you get, the purer the thought/idea that manifests into the theoretical world.

While I attempt to explain the process this does not disavow you from experimenting and testing, so that the advancement of knowledge and understanding reawakens you to the "nature" of one's being? What is this?

Wednesday, September 20, 2006

CNO and the Law of Octaves

"String theory—the hot topic in physics for the past 20 years—is a dead-end, says Smolin, one of the founders of Canada's Perimeter Institute of Theoretical Physics and himself a lapsed string theorist. In fact, he (and others) argue convincingly, string theory isn't even a fully formed theory—it's just a "conjecture."Publisher's Weekly

As we keep going here let's remeber to keep our eyes open, eh?:)

Okay just so you know Harmonics "do" color my world.

The CNO (carbon-nitrogen-oxygen) cycle is one of two fusion reactions by which stars convert hydrogen to helium, the other being the proton-proton chain. While the proton-proton chain is more important in stars the mass of the sun or less, theoretical models show that the CNO cycle is the dominant source of energy in heavier stars. The CNO process was proposed in 1938 by Hans Bethe.

Whilst I struggle, it is with the recent post it has become clear that the roles of choice in the expression of our universe has met up with the logic of "Anthropic reasoning?"


I found the email debate between Smolin and Susskind to be quite interesting. Unfortunately, it mixes several issues. The Anthropic Principle (AP) gets mixed up with their other agendas. Smolin advocates his CNS, and less explicitly loop quantum gravity. Susskind is an advocate of eternal inflation and string theory. These biases are completely natural, but in the process the purported question of the value of the AP gets somewhat lost in the shuffle. I would have liked more discussion of the AP directly

Up to this point this distance was kept because I really did not understand the full scope of what is being implied here, from either of Susskind or Smolin. I do not want to cloud the issue, but by association with either point of view, it seems I am destined to be called archetyphically, one or the other?

The triple alpha process is highly dependent on carbon-12 having a resonance with the same energy as helium-4 and beryllium-8 and before 1952 no such energy level was known. It was astrophysicist Fred Hoyle who used the fact that carbon-12 is so abundant in the universe (and that our existence depends upon it - the Anthropic Principle), as evidence for the existence of the carbon-12 resonance. Fred suggested the idea to nuclear physicist Willy Fowler, who conceded that it was possible that this energy level had been missed in previous work on carbon-12. After a brief undertaking by his research group, they discovered a resonance near to 7.65 Mev.

I had always remained at a distance with this topic only to find that I had been expressing parts of it in one way or another by assuming model implications by association. Either with Susskind or Smolin with the debate ongoing.

Well as Plato ,I am a little different in my assumption based on a model that sees developmental attitiude towards music in ways that we had never considered before? Sound? Or, had thought arose in minds from other sources, whose philsophical based was always hidden in the mysterium of some secret given to mankind on it's journey to remembering who we are.

So I left stories of the deluge of mankind and the secrets to be maintained in model symbologies, that would remain with us for many a day, without ever lossing it's structure.

Okay. I've gotten a litlle extreme with PLato's name use, but in developing a heirarcheal thinking of that "ray of creation," I was always more impressed with how one may see the "elemental discernation of reality" in such photonic expressions and spectrum analysis, that matter based defintions were somehow holding the mind to matter based thinking. I did not want to be constricted by this. By emotions either. By mental impediments to clear mind and thinking.

So by association I have been cast to the archetypal forms and shapes of thinking minds, either on one side or the other? By speaking my mind on the nature of music, that I would quickly be dispelled to crackpottery, by oneside or the other?

“Superstring theory forms a vast and impressive mathematical framework and makes enormous claims. But where is the experimental evidence? What if your intuition tells you that this elaborate construction, shrouded by the sweet vagueness of quantum mechanics, cannot represent the complete truth? Lee Smolin is keeping his eyes open, asks sharp questions, and offers his delightful insights as a critical insider.” Gerard ‘t Hooft, Nobel Laureate, University of Utrecht

Casting Stones

Hey! If you can apply it to each other, then why not I, or any other, to all of the society of scientists like Peter Woit or a Sean Carroll who belong, that they could on the substance of who drives/speak about the "philosophy of life?" Speak about each other or others that would speak in regards to the concepts(pulled all the way back from "a theory")justifing the new views.

Baby Universes

Looking at Smolin's "baby universes" it became evident then that my views on blackholes would indeed serve as the repository of "events," that it would follow in my line of reasoning, to present "new physics." Whilst I did not know, supporting the road taken by Smolin.

INdeed, I have always had a soft spot for his views, because of the clarity of the reasoning behind Three Roads to Quantum Gravity.

So, where am I now in my thinking, that I should be held accountable to Susskind's views, and find that such views speak towards the photonic expressions I have about spiritual life? The roads that go beyond the basis of "Carbon based reasoning" as the predominant value of this universe? Maybe it is a "cycle in time" of this universe that the "laws in the octave of creation" wait for new energy to be put into, "raising" the octave our thinking?

So by where, and how, such injections in the realization, that the balance of these two thinking minds shall we be elevated to a "real value" in society? One that moves towards a spiritual development, whilst breaking the shackles of a "carbon based society?"

Whose Societal value is now aninflationary rate which has been set by the "blackgold" of human kind's dependancies.

MIT researchers have discovered that certain molecules can attach themselves to metallic carbon nanotubes without interfering with the nanotubes' exceptional ability to conduct electricity. At left, the high conductance state has two molecular orbitals, shown in green. Some molecules even let the nanotube switch between highly conductive, left, and poorly conductive (right, with one red molecular orbital), creating the potential for new applications. (Image courtesy of Marzari Lab)

Shall it be freedom in computerization first, or just another means to hold society to the machinations of our dependancies, and the forever "sleeping state" we like to lay back down in, afer such "revelations" have become use too?

So the process of discovery is precendent/predictive on the developing what we need in terms of the "information age" that we will all awaken to the truth about what?


  • BigFoot: The Anomalistic Reality?
  • Thursday, September 07, 2006

    Quantum Hall Effect

    This article below was set in motion by Stefan's article,"Pencils, Black Holes, and the Klein Paradox", at Backreaction. B will have to offer her perspective on the blackhole analogy. I offer mine.:)

    The fractional quantum Hall effect continues to be influential in theories about topological order.

    It is interesting to see the interconnecting links of recent between the different blogs on the internet in terms of what information is being relayed back and forth without some understading of what is going on?

    Number theory is the type of math that describes the swirl in the head of a sunflower and the curve of a chambered nautilus. Bhargava says it's also hidden in the rhythms of classical Indian music, which is both mathematical and improvisational. He sees close links between his two loves -- both create beauty and elegance by weaving together seemingly unconnected ideas.

    As part of a Morning Edition series exploring the intersection of art and science, NPR's Richard Harris reports on the beauty of mathematics, its ties to art -- and the man who straddles both worlds.

    So you learn to see relations where one might not of have before. "Computerization techniques" that would help us understand new ways in which transmit information?

    An Ultimate Theory in Physics?

    Shahn Majid's research explores the world of quantum geometry, on the frontier between pure mathematics and the foundations of theoretical physics. He uses mathematical structures from algebra and category theory to develop ideas concerning the structure of space and time. His research philosophy drives a search for the right mathematical language for a unified expression for the ideas of quantum physics, founded on the notion of non-commutative geometry

    While above I may have introduced the particular interest of Majid's in terms of beats in nature and number counting, it is with some understanding that "poetical desire" can have come "other issues" which rise up from schemas of nature?

    The subject in its modern form has also been connected with developments in several different fields of both pure mathematics and mathematical physics. In mathematics these include fruitful interactions with analysis, number theory, category theory and representation theory. In mathematical physics, developments include the quantum Hall effect, applications to the standard model in particle physics and to renormalization in quantum field theory, models of spacetimes with noncommuting coordinates. Noncommutative geometry also appears naturally in string/M-theory. The programme will be devoted to bringing together these different streams and instances of noncommutative geometry, as well as identifying new emerging directions

    So I mean if you are into the Riemann Hypothesis, you might wonder how such patterns sought by Ulam would have been of interest to people like Robert Laughlin and his ideas on "emergence." What "number systems" would arise from the first principle?

    In a Pascalian sense" you might understand this now, as isssuing from some inherent "ordered" chaos?

    Ulam's interest was on a high energy event( we know what that was, don't we?)? So what order can come out of such chaos?

    This is the essence of the problems with transmitting information while paying witness to the origins of the math brought forward to the mind's eye from an understanding of the "birthing of new universes?"


    I never saw his "site topic Monday, September 04, 2006 until yesterday "after" constructing my post.

    Links to "previous posts linked in quantum hall effect" should give some idea about previous knowledge regardless of PP Cook's posting. Just wanted to set that straight.


    P. P. Cooks, "To Commute or not to Commute..."

    Thursday, July 20, 2006

    Gold and Fool's Gold

    Perhaps the highest density known is reached in neutron star matter (see neutronium). The singularity at the centre of a black hole, according to general relativity, does not have any volume, so its density is undefined.

    The most dense naturally occurring substance on Earth is iridium, at about 22650 kg·m-3.

    A table of densities of various substances:

    So of course seeing this new posting and the ideas of what the gold nugget "is," is supposed to be here in our thinking is of course. Being clarified in terms of how we look at the LHC, most defintiely. Having expert opinion on this is always important. for sure.

    Fool's Gold ?

    Who is not without some blemish on the "heart values" when it had been held to a goal like truth, and had gone astray? It just matters that you try, and that you hold this value in front of your eyes, as you progress through life.

    I was at a loss for what would describe "this beginning" and having looked at what is attained in the "Pascalian triangle", how could I not learn of the spiral induced numbers that lie at the very heart of such creations.

    You have to understand what the basis of what this triangle is based upon. I gave clues here.

    Some fractorial mathematical based idea, exposed to the matters, as crystaline objects of perception unfolding? Wolfram?

    NPR's Richard Harris reports on the beauty of mathematics

    How are some things built, that you would ignore "the mathematics at the basis of experience." Having such a geometrical basis is very important. I may call it "Algebraic equations" of Dirac(Lubos take note:), but it is more then that, and it is in the emergence of strings, that we recognize where the conditions are, as the strings basis? You had to understand "the entropic" as well as the CFT issues from the blackhole state? What are the initial conditions?

    If I say microseconds, you should immediately assume it is after the big bang.:)Topological "geometrics" eh? :) is much different, then what we see classically of the 3+1? You remember "Klein's ordering of the geometries," of course? Right?

    Gold in the Landscape?

    I was looking for a specific posting on "Fool's gold" so I thought of Clifford's at Cosmic Variance and the post he created. A specific comment that I made. No, this does not imply anything against Clifford. :)

    Here you might refer to the points between Lubos and Bee, about the "initial conditions?" It's "beyond" the placement of what is held in microseconds, and the arrow of time. What! Before time began?

    So where is that? What already existed?

    However, don't be fooled! The charm of the golden number tends to attract kooks and the gullible - hence the term "fool's gold". You have to be careful about anything you read about this number. In particular, if you think ancient Greeks ran around in togas philosophizing about the "golden ratio" and calling it "Phi", you're wrong. This number was named Phi after Phidias only in 1914, in a book called _The Curves of Life_ by the artist Theodore Cook. And, it was Cook who first started calling 1.618...the golden ratio. Before him, 0.618... was called the golden ratio! Cook dubbed this number "phi", the lower-case baby brother of Phi.

    What a Cosmologist Wants From String theory by David Wand

    I mean have tried to instill a good foundational perspective of what happens, and what is percieved, in terms of the joining of microsperspective views in regards to the nature of the cosmo?

    So what is not revealled here in "my thinking" although we have been directed to the process of the "collidial views" imparted by expert opinion and further glossed by Q's blog building to face this thinking process? :)

    A debate/dialogue is always a good thing to initiate, and I have not be too lucky to have somebody to run against my thinking. It's a relief Q. As you say, "I am looking for truth."

    So where I am going to go from here? :) Should I go?

    Well science has this thingy about experiment and beyond that, beyond the standard model, what thinking shall I introduce? Something "beyond the 3+1" perhaps? :)

    Monday, June 26, 2006

    Carl Jung's Symbolical Nature?

    The mandala can also be an image of eternity cycling through time and as such images soul's and Nature's circular journeys, as they are reflected in, for example, the Native American Medicine Wheel, in seasonal, rebirth and karmic cycles, in mythic journeys of going out and returning changed to one's point of origin, and in the zodiacal wheel as life's twelve archetypal stages of personal growth.

    This cyclic transformation is also at the heart of ancient Chinese meditation. When the spiritual light in the body moves through rhythmical breathing in a circle, all the opposite energies of heaven and earth, sun and moon, light and dark, are crystallised and form what the Chinese called the Golden Flower, an inner mandala imaging the balanced, open and centred heart.

    I have to agree that a lot is not understood towards the "essence of dreamtime."

    Like anything I guess, if you were to take the time and do the analysis that Jung did in his efforts to record what was supposedly primitive in him, then what use the capacity to dream, let alone for all to dream?

    Such construction then would not be understood or apparent predispositions to create the realities that we can, and do. Ingenuity, would have lack lustered against the background of the potentials dream time can offer?

    But it would still be more then this.

    I will give some examples shortly, as to the nature and psychology I found relevant to the constructive models used to systematically correlate life to model assumptions.. I did spend a couple of years recording as well.

    Richards Wagners's Ring of Nibelung

    Jean Shinoda Bolen, M.D. Ring of Power was interesting.

    Strange that we could have seen A Jungian Understanding of the Wagners Ring cycle, portrayed in todays world and how could have this been accomplished. But by re-introducing a fictional story and embueing it with the archetypal structures of what Jean Shinida Bolen called, "The Abandon Child, The Authoritarian Father, and the Disempowered Feminine."

    The importance of physiologically understanding the close relation of our states of mind, and the resulting emotive upheavals, as effects in our bodies? Very important. Such "states of mind" then become important in how we think about our selves, or others, and how we practise, watching our "thoughts of things?"

    CARL JUNG by Dr. C. George Boeree

    The most important archetype of all is the self. The self is the ultimate unity of the personality and issymbolized by the circle, the cross, and the mandala figures that Jung was fond of painting. A mandala is a drawing that is used in meditation because it tends to draw your focus back to the center, and it can be as simple as a geometric figure or as complicated as a stained glass window. The personifications that best represent self are Christ and Buddha, two people who many believe achieved perfection. But Jung felt that perfection of the personality is only truly achieved in death

    Part of my contention is, that the "self" regardless of who you are, is seeking wholeness. I also contend that this is embedded in our current struggles within the theoretics of the science world? Attempts to "define" the theory of everything. Why, importance on re-cognition helps to identify, when you are within the dream time, once connected with aspects of, "defining this wholeness." Recognizing thepatterns that reveal these aspects as, a integrative realization of being?

    Why Liminocentric structures are important to be understood.

    No matter how "ancient" the nature of the schematics are, these patterns are inherent in self?

    It's as "if" you line up all aspects of the personalities, and what ever "disquise it used" from one life to the next, it was always part of the pattern, of the whole self. A slice of the pie. As you rotated around the circle, it was you experiencing the different pieces of life, that represented different aspects of the soul.

    One was always trying to remember not the "primitive nature" and thought evolution discriptive in the brain's "developemental mode" although such thinking has lead to a better encasing each time to believe possibly that the newer generations of people will have different attachements to the current structures of the brain?

    What "kinds of thinking" lead "neuronical" developement? Restablish, routes electically impulsed? So the resulting routes re-establish are from a clear picture in mind, of what you have always done? Arm moves, if we see it move?

    Once you align to the point in the center, it's as though you align every life time, and quickly realize, the energy that flows through you is the essence of all life. Like a lines of energy that run all over our planet and meet in different locations? That one location, allows the self to be expressed in it's diversities. As part of that wheel.

    The ancient man realized that such vibration were indicative of the variety of these locations. Like negative, positive, or a combination of both. Like the earth, we are no different?

    As I related in the blog entry comments of "trademarks of the geometers II it was from that perspective the relation developed on plate 47 and indications of YING Yang interconnectivity to oriental philosophy that I encouraged bubble idealizations.

    It is important to look at "Plate 47."

    But I wanted to give another example that better demonstrates the ancient mind in it's recognition of these diversities of the feminine/ masculine and this, "interplay of being" within context of who you are at any moment?

    Speaking, as the child, or the parent, or the adult? These are masked the inhernet nature of design? Tao te Ching? Line's given to the examples of "broken and unbroken" and the "64 Hexagrams" are instrumental in displaying the diversity of action according to the probabilistic nature revealled in the dream world of predictable action, and it's consequences. These are features of the "creative realization" that mind is embued with in dream time, as well as, recognizing the reality of of our actions immediately upon their implementation?

    These pages illumine the very principles which inspired the ancient Greek philosophers Heraclitus, Pythagoras and Plato, and cosmologists Giordano Bruno and Johannes Kepler.

    The link on picture also gives one a clue as to how the musical string is actually visualized. To give you a better example of this, you must be able to see into the working of the nature described here, not only harmoncially considered in the harmonical oscillator as a basis of all reality, but of how thes ethink resonate within th emind,a swelok at the chaldni plate as a comparison of the WMAP map as well as, the nodal operation depicted in the results of the brain's consolidation of conceptual realization?

    CARL JUNG by Dr. C. George Boeree

    Jung dreamt a great deal about the dead, the land of the dead, and the rising of the dead. These represented the unconscious itself -- not the "little" personal unconscious that Freud made such a big deal out of, but a new collective unconscious of humanity itself, an unconscious that could contain all the dead, not just our personal ghosts

    IN context of the books of the dead, it was more about "life" that the ancients mind was a concern.

    It had to have ways of "seeing in life" to perpetuate the struggle through all that we had created? Dis-ease? As well as. realizing the fog of the dream world was no less the roads we would have to travel in death, as we made ourway to the clear light? The very fabrications of the dream world were a reminder of the "creative genius" that was in human capable hands, had we thought about, "building a life" on this planet?

    Wednesday, June 21, 2006

    Foundational Perspectives

    Do I work in construction, of course not. But I like models we develope. How we go about building them. While I may have developed them in my own mental and physical life, this entry, is about what the youth of today, can do in their own lives.

    I also wanted to speak about the foundation of institutions, as well as, describe what is happening in my life right now. That this indeed is taking up some of my time. It's a worthy effort, working by my son, to uphold the understanding, that "fear of doing" should not limit us in our pursuates. That physical work demands, "strong motivational hearts" to succeed. Careful planning and execution.

    Well of course above, there lies the remains physically challenged by time and the destruction of, by the powers that be then.

    It was this picture that I was reminded of, as I looked across the work we had been doing to raise the house for my daughter-in-law and son. Yes, today, they pour the footings, and then, we shall progress from here.

    As we were setting this up, I couldn't help but think of the attempts of our good scientists, who undertake the challenge to do their "own work" in the real world. To provide for, "construction corrections" to the homes that they live in. What is a home? What is a solid foundation in the sense of being secure?

    But I could fast forward here, to this heightened view, just to remind you of this elevation of thought, so I'll place this perspective my son captured, while, what had transpired should be spoken about.

    One might quickly forget the calculations in making sure we work on this "2D plain" according to the schematics of the archetectural drawing. It is this basis(model) of the house, with which they have chosen.

    So! I sat and thought about it during the previous couple of days. While I watched the spirit of my son work hard, while others worked hard, asking what lead such inexperience to challenge what only existed in the mind of professionals. To take on such a task?

    Research, and more research, and a willingness to do what was thought unimaginable?

    Can it be said then, that it is this limitation that is forced on self, that any of us, had we not set our minds to it, couldn't have moved in the world the same way? Not to be afraid? To move beyond the world in it's accustom ways, was to encourage the self away from such conceptual stumbling blocks?

    Pythagorean's Theorem

    The theorem has been known in many cultures, by many names, for many years. Pythagoras, for whom the theorem is named, lived in ancient Greece, 2500 years ago. It is believed that he learned the theorem during his studies in Egypt. The Egyptians probably knew of the relationship for a thousand years before Pythagoras. The Egyptians knew of this relationship for a triangle with sides in the ratio of 3 - 4 - 5".

    So it was of course important, that as we laid out the footings, keeping in mind the level from a heighten perspective, that we set out the basis of all our work from which all things would progress.

    The Transit Level

    While the model below is one of many designs, we used another model to help us with our leveling of the footings.

    Many times in my youth growing up, it was important that this tool be used, so from it my talks about frame sof referenc ewas gain from actual hands on experience.

    I relayed a story to my son, when he was around ten, as he set hs eyes upon work that I had been doing to arrive at a level. Of course, it was "long forgotten," but awoken when refreshed, the idea and foundational perspective is still alive and strong as a basis of the tools we need to do work in "frames of reference."

    So of course we are thinking as we developed the "2d dimensions" to allot for a "frame of reference," for how could all things progress? How shall we do this, if we do not move to a third dimensional reference point? How do we arrive at a heightened perspective from all that has been laid out, if we had not raised oneself as my my son had, to include a picture of the whole site?

    Sunday, April 30, 2006

    Is the door open to the eruption of the sociology of knowledge?

    Nobody really thinks about the subtle perceptions that can make their way into the scientist's mind? Do they?

    While, I had talked about the quiet places we like to go to find that peace of mind, it might be different for each of us? Maybe for Clifford, it is the stream. Maybe for a Witten and his walks, the stream, as well?

    I spent a lot of years watching the subtle language that one can draw from the subconscious in dream time and to me such suttle obsersvation while fleeting, it always is a good idea to have a pen and paper alongside of you. Because, it happens that quick sometimes, that if you don't catch it, it sort of leaves the focal front to the tip of the tongue, as a puzzling thought about?

    This enlightenment experience is a realization about the nature of the mind which entails recognizing it (in a direct, experiential way) as liminocentrically organized. The overall structure is paradoxical, and so the articulation of this realization will 'transcend' logic - insofar as logic itself is based on the presumption that nested sets are not permitted to loop back on themselves in a non-heirarchical manner. 11

    Piercing the veil perhaps?

    Some of the things that seem to influence creativity, is the very idea of flow, and sitting by a river, "to think" might be one, or sitting high up on a mountain looking over the landscape, perhaps? Looking deep into "the space of the starry universe" above?

    Observation is really important I believe. If I were to say the "space between the heartbeat," it would not have been to unlikely, that the points between something, could ever be reduced to have it seem that our "quantum perception" has revealled a dynamical reality?

    Yes it's true. Energy calculations revealled information about the space we are living in? Nothing confusing about that. How silly then, that such a suttle perception as to the cards below would have passed our attention unsignificant?

    Anomaly and the Emergence of Scientific Discoveries[/b] Kuhn now moves past his initial topic of paradigm to scientific discovery saying that in order for there to be a discovery, an anomaly must be detected within the field of study. He discusses several different studies and points out the anomaly that invoked the scientific discovery. Later in the chapter he begins to discuss how the anomaly can be incorporated into the discovery to satisfy the scientific community.

    There are three different characteristics of all discoveries from which new sorts of phenomena emerge. These three characteristics are proven through an experiment dealing with a deck of cards. The deck consisted of anomalous cards (e.g. the red six of spades shown on the previous page) mixed in with regular cards. These cards were held up in front of students who were asked to call out the card they saw, and in most cases the anomaly was not detected.

    Attention and awareness is sometimes like listening "between the heartbeats?" Also if you look at that space what is it then filled with? I had a hard time of it trying to understand what nothing meant. It just does not make sense. Nothing is Nothing, and something out of Nothing is really a hard one to ponder for me so I had to see these dynamics working in ways that would tax the mind visually.

    So what did I do?

    Why is sound so important in the analogies of science now? Acoustically, what would the science of sound mean in our discriptions of the landscape? How does it change the way we thnk and do, and leads our thinking minds into some kind of entrainment that is rhythmetically enhanced? What does it do for the brain waves? Functional use, done in MRI study, along with the process of thinking?

    So I thought I should build a world that leads us to realize the reality we create. You think I did not think of the color of these situations? Look carefully at the ephemeral qualities of mind.

    You have to understand that the geometrical realization at the basis of my own experiences were derived from understanding the work of Carl Jung, and the mandalas he talked about.

    The way in which he might have divided up the circle according to the way our minds work. Having the anima and animus respectvely in both male and female, what really made me think of the topological function of the mind, are up top, on the enlightenment plate. Balance was needed to be struck and this is done automatically depending on our genders the balance would have been injected accordingly?

    If you think for one moment our past history is not important, what use to understand that we continue evolve within our consciousness?

    There are such designs from our expierence, to learn? You might have read my views on emotions and experience, and how we cannot change what has already happened, but we can meet the expeirence and change the attitude? That is within our power and ths is what sets up the future.

    Proceedings of Societies [Report on the Law of Octaves]
    Mr. JOHN A. R. NEWLANDS read a paper entitled "The Law of Octaves, and the Causes of Numerical Relations among the Atomic Weights."[41] The author claims the discovery of a law according to which the elements analogous in their properties exhibit peculiar relationships, similar to those subsisting in music between a note and its octave. Starting from the atomic weights on Cannizzarro's [sic] system, the author arranges the known elements in order of succession, beginning with the lowest atomic weight (hydrogen) and ending with thorium (=231.5); placing, however, nickel and cobalt, platinum and iridium, cerium and lanthanum, &c., in positions of absolute equality or in the same line. The fifty-six elements[42] so arranged are said to form the compass of eight octaves, and the author finds that chlorine, bromine, iodine, and fluorine are thus brought into the same line, or occupy corresponding places in his scale. Nitrogen and phosphorus, oxygen and sulphur, &c., are also considered as forming true octaves. The author's supposition will be exemplified in Table II., shown to the meeting, and here subjoined:--

    In this way I sort of felt that a calm mind and a calm heart, would allow one to see the discrepancies better. I do not know if that is the truth of it, but imagine our perception going deeper then it had ever gone before? There had to be some results, from listening?

    A Chladni plate consist of a flat sheet of metal, usually circular or square, mounted on a central stalk to a sturdy base. When the plate is oscillating in a particular mode of vibration, the nodes and antinodes set up form a complex but symmetrical pattern over its surface. The positions of these nodes and antinodes can be seen by sprinkling sand upon the plates;

    If one moment you thought of the Law of Octaves above, what place "the heart" to serve for our evolving consicousness?

    The Revolution that Didn't Happen by Steven Weinberg

    I first read Thomas Kuhn's famous book The Structure of Scientific Revolutions1 a quarter-century ago, soon after the publication of the second edition. I had known Kuhn only slightly when we had been together on the faculty at Berkeley in the early 1960s, but I came to like and admire him later, when he came to MIT. His book I found exciting.

    Evidently others felt the same. Structure has had a wider influence than any other book on the history of science. Soon after Kuhn's death in 1996, the sociologist Clifford Geertz remarked that Kuhn's book had "opened the door to the eruption of the sociology of knowledge" into the study of the sciences. Kuhn's ideas have been invoked again and again in the recent conflict over the relation of science and culture known as the science wars.


  • Revolutions for Change

  • Path With a Heart
  • Friday, April 07, 2006

    Working the Angles UNtil They Add Up Too?

    I assume now, you are in the non-eucldiean inferences?

    If people had thought "the negative" always evil, then what value any "dynamic of thinking" if we could not resolve what we had been doing by changing the shape of our attitudes? :)

    Helen Joyce:
    Both spherical and hyperbolic geometries are examples of curved geometries, unlike Euclidean geometry, which is flat. In spherical geometry, the curvature is positive, in hyperbolic geometry, it is negative.

    Some might have never understood the dynamics going on, and if a "backreaction" was created, what value would this serve in our thinking? I ponder. Some might think of Dirac? Some of anti-matter? In opposition, some might think of Reimann and what was encapsulate in Gauss's Mountain.

    So maybe in churches, or concert halls, we might think about the ways "sound reverberates," within an enclosure? The lines in the architecture? How this resonance passes through and changes the very matters in their oscillations?

    Sunday, April 02, 2006

    Nodes and Anti-nodes

    Tool's for measure.

    The center of the gyroscope is a jewel-like sphere of fused quartz. These spheres, the size of Ping-Pong balls, are the roundest objects ever made by man. The tiny spheres are enclosed inside a housing chamber to prevent disruption from sound waves, and chilled to almost absolute zero to prevent their molecular structure from creating a disturbance. The accuracy of these gyroscopes is 30 million times greater than any gyroscope ever built.

    Making Strings in the lab, made me think of Clifford and the ice cream mix that he was privy too, by joining condense matter [ahem...string:] theorists, on a Friday night? :)Nitrogen, and superconductors seem to go hand in hand? Made me think of GPB and [whoops my mistake-not-nobium sphere], were mention for a reason.:)

    Normally I do not like to encourage such a view held to speculations, but the transferance to 3d effective thinking and all that, had me look at WMAP, was a process lead through by valuating sound in such analogies. As a layman, I hope I am forgiven.

    Is it the process?

    Visitors' shadows manipulate and reshape projected images of "Buckyballs." "Buckyball," or a buckminsterfullerene molecule, is a closed cage-structure molecule with a carbon network. "Buckyball" was named for R. Buckminster "Bucky" Fuller (1895-1983), a scientist, philosopher and inventor, best known for creating the geodesic dome.

    The purposeful arrangement of individual atoms bears some resemblance to the methods monks use to laboriously create sand images particle by particle, however, Eastern and Western cultures use these bottom-up building practices with very different perceptions and purposes.

    Photo and text credit: © 2003 Museum Associates/Los Angeles County Museum of Art

    To me it is a interesting way of seeing what is happening in space held by perception. BUcky balls and such, from my early days of reading BuckminsterFuller and his interesting building concepts, had somehow morphed into dynamical triangulation, used in the monte carlo method of quantum gravity perceptions.

    Dr. Jenny's cymatic images are truly awe-inspiring, not only for their visual beauty in portraying the inherent res-ponsiveness of matter to sound (vibration) but because they inspire a deep re-cognition that we, too, are part and parcel of this same complex and intricate vibrational matrix -- the music of the spheres! These pages illumine the very principles which inspired the ancient Greek philosophers Heraclitus, Pythagoras and Plato, and cosmologists Giordano Bruno and Johannes Kepler.

    Dimensional views of the "quark to quark measure" had me see the dynamics of this distance?

    How much more then would such a weak field describe for us the oscillation of the neutrino, from one phase state to another. One distance to another? A revealled in cosmic rays, as "new physics perhaps" that extends beyond the standard model?

    Paul Dirac

    When one is doing mathematical work, there are essentially two different ways of thinking about the subject: the algebraic way, and the geometric way. With the algebraic way, one is all the time writing down equations and following rules of deduction, and interpreting these equations to get more equations. With the geometric way, one is thinking in terms of pictures; pictures which one imagines in space in some way, and one just tries to get a feeling for the relationships between the quantities occurring in those pictures. Now, a good mathematician has to be a master of both ways of those ways of thinking, but even so, he will have a preference for one or the other; I don't think he can avoid it. In my own case, my own preference is especially for the geometrical way.

    If for one moment you continue the thought processes in light of visionary changes sought by and spoken in context of polarization effects in the WMAP, then such views have a profound effect, to what was always interesting data from cosmological apprehensions in discovery.

    Mikheyev-Smirnov-Wolfenstein effect92 April 2006 wikipedia)
    The Mikheyev-Smirnov-Wolfenstein effect is a particle physics process which acts to enhance neutrino oscillations in matter.

    While dynamic functions are being revealled to me of microprocesses( phases states), these dynamics are always interesting from what the geometrical perpecive of what was derived from Dirac.

    A "three dimensional view" of what may be happening in the abstraction of space dynamics seen in UV perspective described in analogy to Gauss's coordinates?

    Something much more profound and detail in a greater depth of thinking of an abstractual nature perhaps? B Field dynamics, would be a interesting comparison while holding mind in geometrical abstraction?

    Antineutrinos From Distant Reactors Simulate the Disappearance of Solar Neutrinos
    The potential importance of the Kamland results goes well beyond the solar-neutrino problem. Particle theorists hope that the masses and flavor compositions of the neutrino mass eigenstates will help point the way to an encompassing unification beyond today's manifestly incomplete standard model of fundamental particles and their interactions. Detailed knowledge of the neutrino states might also elucidate a central problem of cosmology: How did matter come to dominate over antimatter in the immediate aftermath of the Big Bang? Does the mixing of neutrino states harbor the symmetry-breaking mechanism that could have done the trick?

    Oscillating flavorsThe three neutrino mass eigenstates are presumed to be different coherent superpositions of the three flavor eigenstates (ne, nm, and nt) associated with the three charged leptons: the electron, the muon, and the tau. There is good evidence that only two of the three mass eigenstates contribute significantly to ne. In that approximation, one can write

    The question always arises in my mind about the quantum harmonical oscillations, as part of a much larger inherent feature of reality, with which we might view WMAP. Or, events that arise from the sun. Could such analogy, born in the sun's process spit out the nature of the neutrino?

    The plates can be made visible by mounting a mirror behind the row of plates, angled so that the top of the plates are visible to the audience (same idea as in Polarization by Scattering). Create the optimum angle for the front rows, as the back rows will be looking down on the plates anyway. Make sure the cello bow is nice and tactile by treating it with rosin before the performance. Sprinkle the sand on the plates so that it forms an even cover. Don't overdo the amount.