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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.



See:

  • Revolutions for Change

  • Path With a Heart
  • Thursday, April 27, 2006

    Comprehending New Physics?

    Scientists May Soon Have Evidence for Exotic Predictions of String Theory issued by Northeaster University

    "String theory and other possibilities can distort the relative numbers of 'down' and 'up' neutrinos," said Jonathan Feng, associate professor in the Department of Physics and Astronomy at UC Irvine. "For example, extra dimensions may cause neutrinos to create microscopic black holes, which instantly evaporate and create spectacular showers of particles in the Earth's atmosphere and in the Antarctic ice cap. This increases the number of 'down' neutrinos detected. At the same time, the creation of black holes causes 'up' neutrinos to be caught in the Earth's crust, reducing the number of 'up' neutrinos. The relative 'up' and 'down' rates provide evidence for distortions in neutrino properties that are predicted by new theories."


    Well, having tried to understand what this might entail, I have engaged from a layman perspective, my interest in string theory, to see if I could indeed to get to the "heart of the matter." :)

    Moving to higher energies, the expected fluxes of neutrinos become smaller, that even a cubic kilometer detector is not able to detect them. Larger volumes can be achieved by replacing optical sensors by acoustic detection. The reason is that acoustic waves can propagate over larger distances than light and allow wide spacing of detectors, and therefore larger detector volumes.



    So having understood the high energy interactions above us, what said that the lower energies would have not been followed to some "end?" What "new physics" would have said that what was produced in the sun, and what energy particles emitted into the space, would thusly be recognized in the collidial events. Would have been traced to evidence, as some theorectical conclusion might have evailed of itself?



    INtuitive recourse and back.

    What that might mean is a philosophical endeavor of mine own, although not well schooled, had existed somewhere deep in the oblivion of the soul encased here. The schooling that has gone on in thesense of out reach programs show by the articles listed by cosmic varaince, respectvely of the two organizations, are very important to me.

    What made them f cosmic variance not think I had been doing this kind of stuff on my own years before and in my attempts now, encouraging society to take hold of it's destiny responsibly, and not let it be overtaken by captialistic visionaries, that were out to line their own pocket, then share their philosophies with us while we wroked life and it's responsiblities?

    While gone for a bit on my own personal views about Intuition and the kind, it is time to get back to work. Understand where people are going with the theoretical model developed, called "String/M Theory, and try access what valuable insights had been developed "forward" in respect of what those extra dimensions might mean in study "now."

    An "arrow of time" thing, that has confused me greatly, even though entropically I understood the resulting universe had become very complex, while at one time, in maybe some supersymmtrical realization, it was much simpler?

    Gellman siad it very well earlier on in this blog, by his introduction of what constitued complexity, and this was well within some measurable idealization.

    About My personal Beliefs

    Sure I could cover it all with the mystic of my personal views and may mislead, having surmized somethings about it. This could be thought as disasterous, when not providing the complete picture that had taken me to the things that I think about.

    Truly after studing for a lot of years, although not creditialed, I would like to say too, that society and the developement of the social construct is very important to me as well. What is left "out there" for consideration, should be academically correct.

    So I stay very close to the front of, and thinking of scientists who work their respective fields.

    This is not to say that I had not developed my own respective views, as if raised religiously, that I would abandon my own beliefs about what God might mean to me.

    Just that I continue to act responsibly, as a humanist, and undertanding well the social construct of religion, as my own biographical sketch is well defined in this area, I too became a free thinker. Would like to move ahead as best the human being can be, as I learn to understand our roles in society, our responsibilites in regards to "education and truth to reason" as best as possible.

    Tuesday, April 25, 2006

    What is the Observer's Reality?

    "Death, so called, is but older matter dressed
    In some new form. And in a varied vest,
    From tenement to tenement though tossed,
    The soul is still the same, the figure only lost."
    Poem on Pythagoras, Dryden's Ovid.


    When your given a certain amount of energy to work with and all of it is accountable except for a some, what conlcusion are you to draw? Sensibly the mapping is done as to the tragetories of all particles, yet it just didn't add up at the end.

    Oskar Klein (left) proposed in the 1920s that hidden spatial dimensions might influence observed physics. He poses with physicists George Uhlenbeck (middle) and Samuel Goudsmit in 1926 at the University of Leiden, the Netherlands. AIP Emilio Segrè Visual Archives

    Mini Review on Search for Extra Dimensions With Atlas, by S. Ferrag

    Thanks to the high collision energy and luminosity of the LHC, the ATLAS detector will be capable of revealing the existence of extra spatial dimensions in some substantial region of parameter space. The talk will summarize recent studies from the collaboration on different possible signals predicted by models where the dimensions are "large", where they are of size ~TeV^-1 or where they are "warped". These signals include direct emission of Kaluza-Klein states of gravitons, virtual effects of graviton exchange and gauge boson excitations. We shall also discuss the possibilities of observing black holes.


    There is no doubt in my mind that the leanings towards mysticism should not have entered the picture when dealing with the science, as you say Sean. Through Education, working with the tangible, there will no doubt people who refuse this on a ideological grounds, as to it's misleadings to a better understanding.

    If the concepts of GR are ever moved as they were in the perspective of Einstein's thought Experiment, I would think it would have had it's basis on a solid foundation, yet, it drew a conclusive results in the way we now deal with how we can look at the world?



    While this may have appeared confusing, and misleading to people, without a deeper comprehension, it is not without some basis some of us would think about these things, and agree with Einstein.

    So let's say that if such a basis was given to thethought experiment shown here, is thought of, would the thinking as to the substance of our very thoughts ever been considered in context of the way in which I had been thinking about these things?




    If one had never followed the logic and geometry would it have made sense, that the analogy of Einstein's thought experiment, about a hot stove and pretty girl, would seem less then a viable concept, had Einstein never extended his thoughts from a basis, and foundation of GR? Gravity.

    On the Effects of External Sensory Input on Time Dilation." A. Einstein, Institute for Advanced Study, Princeton, N.J.

    Abstract: When a man sits with a pretty girl for an hour, it seems like a minute. But let him sit on a hot stove for a minute and it's longer than any hour. That's relativity.

    As the observer's reference frame is crucial to the observer's perception of the flow of time, the state of mind of the observer may be an additional factor in that perception. I therefore endeavored to study the apparent flow of time under two distinct sets of mental states.


    Methods: I sought to acquire a hot stove and a pretty girl. Unfortunately, getting a hot stove was prohibitive, as the woman who cooks for me has forbidden me from getting anywhere near the kitchen. However, I did manage to surreptitiously obtain a 1924 Manning-Bowman and Co. chrome waffle iron, which is a reasonable equivalent of a hot stove for this experiment, as it can attain a temperature of a very high degree. Finding the pretty girl presented more of a problem, as I now live in New Jersey. I know Charlie Chaplin, having attended the opening of his 1931 film City Lights in his company, and so I requested that he set up a meeting with his wife, movie star Paulette Goddard, the possessor of a shayna punim, or pretty face, of a very high degree.

    Discussion: I took the train to New York City to meet with Miss Goddard at the Oyster Bar in Grand Central Terminal. She was radiant and delightful. When it felt to me as if a minute had passed, I checked my watch to discover that a full 57 minutes had actually transpired, which I rounded up to one hour. Upon returning to my home, I plugged in the waffle iron and allowed it to heat up. I then sat on it, wearing trousers and a long white shirt, untucked. When it seemed that over an hour had gone by, I stood up and checked my watch to discover that less than one second had in fact passed. To maintain unit consistency for the descriptions of the two circumstances, I rounded up to one minute, after which I called a physician.

    Conclusion: *The state of mind of the observer plays a crucial role in the perception of time.*


    Same with how GR is reduced from a "larger frame of reference(a quantum microscopic view)," how is it, the probability of any action could have been this one, as I write, or if some thought held to some systemic relation would have found relevance in the weight of our decisions, our choices? I used a scale then, heart and feather and if one associated the gravity of the situation to our thought patterns, how would this pan out in the thinking of emotive thoughts. The discoloration of pure colors, in our expression and emotively realized?

    Einstein:Since there exist in this four dimensional structure [space-time] no longer any sections which represent "now" objectively, the concepts of happening and becoming are indeed not completely suspended, but yet complicated. It appears therefore more natural to think of physical reality as a four dimensional existence, instead of, as hitherto, the evolution of a three dimensional existence.


    Fanciful, Yet working with Reason



    You may not take your body with you but you will take the emotive realizations, and they can color our views for a time. If we knew how to take control of the positve expression and change our attitudes, I think this is what allows the circumstance to change(our future), if we only let the reactions govern our existance, nothing changes.

    We are thinking beings then, making choices, about the way we will react in the future. Following such reactions to the source and continuing to distill them we will possibly find the truer core of the reactionary base with which to consult. What future changes we will take hold of. It doesn't all have to be negative. We don't have to surround ourselves with such paling colors.

    Sunday, April 23, 2006

    Concepts of the Fifth Dimension

    "Yet I exist in the hope that these memoirs, in some manner, I know not how, may find their way to the minds of humanity in Some Dimensionality, and may stir up a race of rebels who shall refuse to be confined to limited Dimensionality." from Flatland, by E. A. Abbott



    Oskar Klein
    September 15, 1894 - February 5, 1977


    Dealing With a 5D World

    A black hole is an object so massive that even light cannot escape from it. This requires the idea of a gravitational mass for a photon, which then allows the calculation of an escape energy for an object of that mass. When the escape energy is equal to the photon energy, the implication is that the object is a "black hole."



    Herein, I also make the assumption:

    The Spacetime Fabric, "is" the Fifth dimension.

    Now of course, how do such assumptions make their way into my thinking and visualizations that I do? The seeing, of what mathematics and it's symbology had done for those who might see the geometry of expression, as a very vital way of thinking in the abstract world of mind, analogous, to the computer screen in front of us?


    Juan Maldacena:

    The strings move in a five-dimensional curved space-time with a boundary. The boundary corresponds to the usual four dimensions, and the fifth dimension describes the motion away from this boundary into the interior of the curved space-time. In this five-dimensional space-time, there is a strong gravitational field pulling objects away from the boundary, and as a result time flows more slowly far away from the boundary than close to it. This also implies that an object that has a fixed proper size in the interior can appear to have a different size when viewed from the boundary (Fig. 1). Strings existing in the five-dimensional space-time can even look point-like when they are close to the boundary. Polchinski and Strassler1 show that when an energetic four-dimensional particle (such as an electron) is scattered from these strings (describing protons), the main contribution comes from a string that is close to the boundary and it is therefore seen as a point-like object. So a string-like interpretation of a proton is not at odds with the observation that there are point-like objects inside it.



    (Wikipedia 23 April 2006)
    Similarly, in general relativity, the fourth dimension is manifested in observable three dimensions as the curvature of path of a moving infinitesimal (test) particle. 't Hooft has speculated that the fifth dimension is really the spacetime fabric.


    Linked paragraph above was pointed out to a link you to further thoughts on this. It was a strange revelation of sorts to think that such a process could lead you to such thinking, as well, as leading one to understand how General Relativity becomes a result of of String theory.

    It just made so much sense as I watched this developement take place in this geometrical extension of thought, that to a beginning, from a point to a line to a plane, was raised in mind, as a short cut to the brane world understandings. I really do not undertsand how I made this jump, but never the less, it took me to a fifth dimensional referencing.



    The work of Banchoff helped in this understanding. In using image production, our 2d computer screens, as example, shows the work we are doing in the abstract space of mind.

    While I am still ever the student, such thinking moved from the ideas of General Relativity, and it's geoemtrical nature, moves one into the dynamical regions of thought. Held, in regards to those curvatures. I just tend to see them in this way after understanding the "geometrical nature." So too, the undertanding of General Relativity means, and in this assumption, "gravity" becomes the terminology that I see in the dynamcis of that universe.

    Can I help seeing the thought of humanity so capable in the mind, to relate choices to the heart and the feather weighting truth, that I also had come to see the gravity of that situation? IN such thoughts, Einsteins analogy of the Pretty girl always come to mind. It was a conceptual leap of sorts, as well as beautifully laid out model of GR as to our understanding in terms of what gravity means.

    From strong to weak, and all the understanding of the place, where a flat plane of which no gravity exists, is a place where such transitions take place in my mind. Is this true or not? The very thinking of brane developement lead me to think in a 2 dimensional framework, yet I am well aware of the fifth dimensional views that this framework supplies. Is it wrong? I would have to rely on competent readers of the Brane world to have them say ye or nay, as to the thoughts being portrayed here.

    (Wikipedia 23 April 2006)
    In physics and mathematics, a sequence of N numbers can be understood to represent a location in an N-dimensional space. When N=5, one of these numbers is sometimes colloquially called the fifth dimension. This usage may occur in casual discussions about the fourth dimension, which, in the context of physics, refers to time, coming after the first three spatial dimensions (up/down, left/right and forwards/backwards). Abstract five-dimensional space occurs frequently in mathematics, and is a perfectly legitimate construct. Whether or not the real universe in which we live is somehow five-dimensional is a topic that is debated and explored in several branches of physics, including astrophysics and particle physics.


    Lisa Randall:
    My most recent research is about extra dimensions of space. Remarkably, we can potentially "see" or "observe" evidence of extra dimensions. But we won't reach out and touch those dimensions with our fingertips or see them with our eyes. The evidence will consist of heavy particles known as Kaluza-Klein modes that travel in extra-dimensional space. If our theories correctly describe the world, there will be a precise enough link between such particles (which will be experimentally observed) and extra dimensions to establish the existence of extra dimensions. Dangling Particles,By LISA RANDALL, Published: September 18, 2005 New York Yimes


    The extensions beyond what we had always taken for meaning as "seeing," is the undertanding that all 3 space coordinated directions with time, are embedded in some "design" beyond that frame of reference held to General Relativity. If it wasn't, how could anything working beyond this, be found as a coordinated result?

    (Wikipedia 23 April 2006)











    Figure 2. Clebsch's Diagonal Surface: Wonderful




    Saturday, April 22, 2006

    Models Change Perceptions

    "When the student is ready the Teacher appears"


    Who said it first?

    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.


    A universal statement I had been listening to for years. So I thought about it some and look for some comparative relation. How does this manifest? Who is "our father who art in heaven." You had to know this is within our capabilities. Roll your eyes and turn them upward in your head. The perception was never far from our own ephemeral qualites of mind, that we had access to heaven, "all the time":) That a heaven could be created here on earth.

    That might be to religious for some. I think it, very human of us.




    The pictures are links

    Some problems with understanding what ever anyone saids about certain things, is the need for a Rosseta stone. The "other reader" has to have some idea of what you are talking about. If they don't, it's lost, and reading comprehension, never connects. So while up in the "air of mind" about these things, we want to bring it down to earth, fully aware, that these are higher principles with which we will deal. Spiritualism further out brought home to the mind for consideration.

    In the quest to develop a notion of quantum geometry, as far back as 1947, people were trying to quantize spacetime so that the coordinates would not be ordinary real numbers, but somehow elevated to quantum operators obeying some nontrivial quantum commutation relations. Hence the term "noncommutative geometry," or NCG for short.

    The current interest in NCG among physicists of the 21st century has been stimulated by work by French mathematician Alain Connes.


    So in the case of science, how applicable is this relation and you need to see it working in society. Where the demands for a "first principle" might issue from, and here we could talk about the idea of cognitive realizations about where the math was first borne? The reason for it.

    Probabilties exist, yet, how are they reduced to General Relativity? Models were produced to help us see differently? Like string theory.

    If the basis of geometrical thought is understood then how shall it come from "first principle." As a string theorist they might know, and the problem brought home for consideration. There is currently is no geometry that describes the inner working of the place they know. So I have wrapped it in a process.



    Now I see differently.

    Friday, April 21, 2006

    What a Good String Theorist Should Know?




    Arthur Miller
    Einstein and Schrödinger never fully accepted the highly abstract nature of Heisenberg's quantum mechanics, says Miller. They agreed with Galileo's assertion that "the book of nature is written in mathematics", but they also realized the power of using visual imagery to represent mathematical symbols.



    I am a bit of a fanatic when it comes to the visualizations. What benefit might these have for any good theorist? What creative ability is developed, when one sees this way?

    To me, as it has been described with Dirac wording that I have spell out many a time, there is also all this "other information" that has to be followed up. I know it. Many science people know it. Maybe sometimes, caught up in all the aspirations for truth, I might not remember it. So this post is here for this purpose.

    You have to trust me that I will not be knocking on any good scientists door, being the crackpot that I am, with some amazing discovery.I just don't have time to bother you good science people.:)

    Anyway, I thought I should clear up some ideas people have about learning. Getting some insight into what is being talked about in regards to theoretical ideas being borne, what learning the older folk like me can look forward too. The last part of this post is in regards to Think Quest comments on string theory.

    Personally, I think a good theoretician needs to know a lot.

    I found information provided by Gerard t’ Hooft which gives one a a good base to what he thought we should be doing. So I wanted to include some of that here as well. Also by including each of the links, typing into the "search fucntion," this post, should come up, and the related subjects, as to what should be known.

    I created one on the requirements of mathematics sometime ago as well so this would be a good source link as well to the requirements needed to work within the string theory realm. I am still looking for it. You cna see now why this post is good for memory retention being somewhat lost as to where it is put under.

    Is your motivation and pursuance of knowledge up to it?

    HOW to BECOME a GOOD THEORETICAL PHYSICISTby Gerard 't Hooft



    Theoretical Physics is like a sky scraper. It has solid foundations in elementary mathematics and notions of classical (pre-20th century) physics. Don't think that pre-20th century physics is "irrelevant" since now we have so much more. In those days, the solid foundations were laid of the knowledge that we enjoy now. Don't try to construct your sky scraper without first reconstructing these foundations yourself. The first few floors of our skyscraper consist of advanced mathematical formalisms that turn the Classical Physics theories into beauties of their own. They are needed if you want to go higher than that. So, next come many of the other subjects listed below. Finally, if you are mad enough that you want to solve those tremendously perplexing problems of reconciling gravitational physics with the quantum world, you end up studying general relativity, superstring theory, M-theory, Calabi-Yau compactification and so on. That's presently the top of the sky scraper. There are other peaks such as Bose-Einstein condensation, fractional Hall effect, and more. Also good for Nobel Prizes, as the past years have shown. A warning is called for: even if you are extremely smart, you are still likely to get stuck somewhere. Surf the net yourself. Find more. Tell me about what you found. If this site has been of any help to someone while preparing for a University study, if this has motivated someone, helped someone along the way, and smoothened his or her path towards science, then I call this site successful. Please let me know. Here is the list.



  • Languages





  • Primary Mathematics





  • Classical Mechanics





  • Optics





  • Statistical Mechanics and Thermodynamics





  • Electronics





  • Electromagnetism





  • Quantum Mechanics





  • Atoms and Molecules





  • Solid State Physics





  • Nuclear Physics





  • Plasma Physics





  • Advanced Mathematics





  • Special Relativity





  • Advanced Quantum Mechanics





  • Phenomenology





  • General Relativity





  • Quantum Field Theory





  • Superstring Theory





  • Think Math

    While I quickly jumped to the end of the third page of reference below, it summarizes a bit as to what culminations might be found with the math in all it's aspects describe as the language. The language(herein described as the math), brings it together nicely. Whole.

    Guide to Math, by Superstringtheory.com
    Noncommutative geometry (NCG for short)


    Geometry was originally developed to describe physical space that we can see and measure. After modern mathematics was freed from Euclid's Fifth Axiom by Gauss and Bolyai, Riemann added to modern geometry the abstract notion of a manifold M with points that are labeled by local coordinates that are real numbers, with some metric tensor that determines an extremal length between two points on the manifold.

    Much of the progress in 20th century physics was in applying this modern notion of geometry to spacetime, or to quantum gauge field theory.

    In the quest to develop a notion of quantum geometry, as far back as 1947, people were trying to quantize spacetime so that the coordinates would not be ordinary real numbers, but somehow elevated to quantum operators obeying some nontrivial quantum commutation relations. Hence the term "noncommutative geometry," or NCG for short.

    The current interest in NCG among physicists of the 21st century has been stimulated by work by French mathematician Alain Connes.



    While the truer quest of seeing is in the world of mathematics used besides english, is the real language of commonality among scientists. It serves them well to understand how all these maths could add up too, what is required of those students of youth, and youth of mind of those advacing in age, that we see this described someplace.


    Nature's patterns

    So who is right? Well, there is much that is attractive in the Platonist point of view. It's tempting to see our everyday world as a pale shadow of a more perfect, ordered, mathematically exact one. For one thing, mathematical patterns permeate all areas of science. Moreover, they have a universal feel to them, rather as though God thumbed His way through some kind of mathematical wallpaper catalogue when He was trying to work out how to decorate His Universe. Not only that: the deity's pattern catalogue is remarkably versatile, with the same patterns being used in many different guises. For example, the ripples on the surface of sand dunes are pretty much identical to the wave patterns in liquid crystals. Raindrops and planets are both spherical. Rainbows and ripples on a pond are circular. Honeycomb patterns are used by bees to store honey (and to pigeonhole grubs for safekeeping), and they can also be found in the geographical distribution of territorial fish, the frozen magma of the Giant's Causeway, and rock piles created by convection currents in shallow lakes. Spirals can be seen in water running out of a bath and in the Andromeda Galaxy. Frothy bubbles occur in a washing-up bowl and the arrangement of galaxies.


    Imagine calling someone with this background "flaky" because of a "strange idea" that might be borne in mind, while it is encompassed by all this knowledge of science, respectively? People who had been well intentioned, hiding all the information because they might have been taunted by those who were not respectful of the age of reason, with which they had applied them self.

    I think every teacher, Mother, Father understands the best they have for their student, child respectively, and what they strive to encourage in regards to the independence and strength, to move forward with the motivation that is borne in every good seeker of truth?


    ThinkQuest
    Think Quest is all about students thinking and learning together. Students work in teams to create the best educational websites and compete for exciting prizes, including a trip to Think Quest Live, an educational extravaganza celebrating their achievements.

    Sponsored by the Oracle Education Foundation, the competition offers a unique project-based learning experience to students and teachers around the world. Globally relevant subjects and diverse teams are encouraged.
    The teams' websites are published for the world to see in the Think Quest Library. This rich online resource contains over 5,500 educational websites, created by students for students. Search the library and you'll be sure to find a site that intrigues you.


    Information Links Below Created by Dan Corbett, Kate Stafford, and Patrick Wright for ThinkQuest.



  • The History of String Theory:






  • Introduction to String Theory:






  • Gravity and String Theory:






  • Supersymmetry:






  • The Dimensions of String Theory:






  • Dimensions, Wound Strings, Branes, and Calabi-Yau Spaces:






  • The Many Types of String Theory:






  • New Developments in String Theory:





  • Well so easily explained in the english language, Gerard's comments about explaining what we are doing now bears fruit? My inept capilities with this of courses draws recognition, let alone, the need to write those visionary qualities to algebraic equations. So Penrose has more words for us, besides his change of heart?:)

    You think it easy to change the ingraininess of our methods that we should let them drop away easily? Find a new path/math with a heart? It is not without thinking that such decisions are made.

    [ROGER PENROSE]


    "One particular thing that struck me... [LAUGHTER]...is the fact that he found it necessary to translate all the results that he had achieved with such methods into algebraic notation. It struck me particularly, because remember I am told of Newton, when he wrote up his work, it was always exactly the opposite, in that he obtained so much of his results, so many of his results using analytical techniques and because of the general way in which things at that time had to be explained to people, he found it necessary to translate his results into the language of geometry, so his contemporaries could understand him. Well, I guess geometry… [INAUDIBLE] not quite the same topic as to whether one thinks theoretically or analytically, algebraically perhaps. This rule is perhaps touched upon at the beginning of Professor Dirac's talk, and I think it is a very interesting topic."


    A more direct link to quote above on page 12.

    Thursday, April 20, 2006

    Purpose of the Compton Lecture Series

    April 8The 63rd Compton Lecture Series, 2006 through June 3, 2006, 11:00 a.m.

    Sean at cosmic variance point to this series of lectures that are being presented each year and in this series the entitled is called, "String Theory: With a View Towards Reality" which will be presented by Nicholas Halmagyi, McCormick Fellow, Enrico Fermi Institute.

    Dear Friends of the Enrico Fermi Institute:

    We cordially invite you to join us for the next series of the Arthur H. Compton Lectures. The Lectures are intended for the general public, friends of the Enrico Fermi Institute, members of the University community, and interested citizens of the Chicago area. They provide a descriptive account of some of the frontiers of present-day science. We don’t expect you to have a formal background in mathematics or science, but hope to appeal to your curiosity and to share with you some of the excitement of modern scientific research.

    String Theory is an attempt to describe all particles by multi-dimensional objects, such as strings and membranes. These objects propagate in a ten dimensional universe of which four dimensions are visible to us. This rather outlandish conjecture has led a large community of theoretical physicists to hope for a unification of particle physics and Einstein's general relativity.

    The rather serious caveat is the difficulty in providing predictions which can be experimentally verified since the physical manifestation of the string hypothesis will be most obvious only at energy scales which far exceed our current experiments.

    In these lectures Dr. Nicholas Halmagyi will explain the humble beginnings of String Theory and will detail the staircase of energy scales which climb up to quantum gravity and string theory. No scientific background is required.

    Just bring your curiosity. We hope you can join us for the first lecture on Saturday, April 8, 2006 at 11:00 AM in Room 106 of the Kersten Physics Teaching Center, 5720 South Ellis Avenue. Enter through the door at the southeast corner. The series will run from April 8, 2006 through June 3, 2006.

    There will be NO lecture on Saturday, May 27th and the Compton Lecture Luncheon will be held on June 3rd.

    Sincerely,

    James E. Pilcher Director


    There is a list of Present and Recent Abstracts, some mentioned in the article presented by Sean Carroll, and many others on the Compton lecture presentation itself.

    For me it will be a interesting set of lectures, as I have watched this development for the last couple of years trying to piece togehter the essence of this perspective, about the way in whch one could now percieve a model used to help grow towards a dimensional expression of particle physics in high energy areas.

    I would not like one to think that I am without purpose in my attachments to Cosmic varaince, and to those there in cosmic variance without understanding that some in their respective trades, are just as green(e) when it comes to applying their tools of the trade with string theory, while working their specific areas.



    Feynman's Rainbow, by Leonard Mlodinow Warner Books 2003

    Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace by Leonard Mlodinow FreePress 2001

    Also too, having watched a previous writer like Leonard Mlodinow, the quest to pursue science as well as develop the "path with a heart," to me exemplfies the struggle of some science people to find this part of themself. Meanings, to continue in the directions they do. While it might have been a aimless struggle( the recorded history) that apparent at one time as the story unfolds, were the glimpses into other times of people, as the greater teachers of science, like Feynman or Gellman, these insights into their lives present some of the essesnce of what has to be found as motivations needed to develope awareness not only for themself, but in the struggle to move society along with them.

    Tuesday, April 18, 2006

    More thoughts on Enlightenment?



    While that book is not available there, it has many other books listed for inspection.

    Richard Maurice Bucke(pdf) and Cosmic Consciousness was one of the first books that I read about almost 35 years ago. It was long ago assimilated, so I could not tell you much, other then I question now the role might be presented to our awareness, for those developing and being responsive to intuitive moments. Or what, a enlightened individual might be, after having met moments that may correlate to what enlightenment might be, "more then once," for the initiated?

    As I said I am not a very good meditator, although I do look quietly and focused in my intentions as to what such quiet moments could produce, after working to understand.


    In the Third Person?


    It was in the early spring at the beginning of his thirty-sixth year. He and two friends had spent the evening reading Wordsworth, Shelley, Keats, Browning, and especially Whitman. They parted at midnight, and he had a long drive in a hansom. ...His mind, deeply under the influence of the ideas, images, and emotions called up by reading and talk of the evening, was calm and peaceful. He was in a state of quiet, almost passive enjoyment. All at once, without warning of any kind, he found himself wrapped around as it were by a flame-coloured cloud...he knew that the light was within himself. Directly afterwards came upon him a sense of exaltation, of immense joyousness accompanied or immediately followed by an intellectual illumination quite impossible to describe... he saw and knew that the cosmos is not dead matter but a living Presence, that the soul of man is immortal, that the universe is so ordered that without any peradventure all things work together for the good of each and all, that the foundation principle of the world is what we call love and that the happiness of every one in the long run is absolutely certain.


    I'm thinking out loud. :)

    Does such an elevation really make the individual any different remembering and being respectful, of the life they are currently living/others?

    I personally don't think these constructs change in which we had to learn to use in how we assess/work life. Means, that the job is ever more difficult and the responsibility to living life ever more complicated/greater. We are now supposed to be more aware?

    We now understand possibly what the emotive development means in how we produce memory and the attitude development granted to reacting in life ( what can be changed in the future). Yet, we are still involved in purifying these emotions, still the uneducated ruler(ego) exists, by the unleashed potentials of a mind who still sleeps, while it should be awake?

    Yet, the mind has been synchronized, with the development of the lower centers and the" heart," the place where such development begins? How do all such probabilities come to mind?

    Might we now become aware of the responsibility we have for truth to ourselves/others and the illusions we might have perpetuated? The fog and qualities of working towards a "open heart and clear mind" that may be met because of the issues we developed/developing, along in life.

    Of course there could be many interpretations caused by my ambiguity of words choosen here, yet, is enlightenment really ever that far away for each of us to experience?

    That such potentials could exist if we had thought these things not sacrosanct to mysticism alone, but is really part of developing and working responsibly, in our quest to understand life/science?

    Monday, April 17, 2006

    Abraham Maslow and Peak Experience



    "The worst disease afflicting human kind is hardening of the categories." - Artist Bob Miller.


    Well I having been watching the topics ofCategorically Not site created. I see such fine visitations by those who have ventured into the science, asking for responsibility of mind in science, be given to society on a platform, as a fine and ethical reporting/lectures, on where science/other issues, are today?

    That they had ventured beyond the safe haven of science, to talk about "intuition of a kind", held to thoughts on subjectivity made me think.

    So things less likely to be held in the role of experimental validation( and psychological modelling has learnt to bear the brunt of scorn by many science minds?) that we might like to see physical processes and evidenced to date, also, as a kind of invitation to think about the roles subjectively of modelled thought about intuition worked, revealled as common today in practise?

    Peak experiences (wikipedia 17 April 2006)
    Peak experience is a term used to describe certain extra-personal and ecstatic states, particularly ones tinged with themes of unification, harmonization and interconnectedness. Participants characterize these experiences, and the relevations imparted therein, as possessing an ineffably mystical (or overtly religious) quality or essence


    The question I might have placed up front here, is if such thoughts about intuition are born to what it would constitute, would one have said, a close relation to "Peak experience"? What would any consolidation of the individual represent in it's wholeness, if such an actualization moment was percieved for a short time, that such gains made by the work and study of, found it's application would have been granted in the moment of one's solitude? As one who gazed into the stream, or one who found in such a place that would help the mind in its efforts to raised the packet from the probability of all possibilties, as an enlightening moment?

    From whence would all such idealizations emerge, that such an tonality of thought would embrace itself as a self actualized moment in the connection to the value of all probabilites with this peak moment? The probability of all things needed a resource and commonality from which all minds could draw some comparison. Where was this moment of recognition? A harmonical Oscillator of a kind, possibly? The basis of all reality existed in some form self described harmonical expression?


    1908-1970
    by Dr. C. George Boeree

    Abraham Harold Maslow was born April 1, 1908 in Brooklyn, New York. He was the first of seven children born to his parents, who themselves were uneducated Jewish immigrants from Russia. His parents, hoping for the best for their children in the new world, pushed him hard for academic success. Not surprisingly, he became very lonely as a boy, and found his refuge in books.


    What I had been working towards here in the pass couple of years is evidence by the archive to the right.

    It has been a interestng experience trying as best I can to see where science was going. What was being held at the forefront of science knowledge, in regards to the theoretical idealizations, that were born to push insight, and perception deeper into the coming realities. The cognition of what might be borne in mind, that any emergence might have revealled of itself in the aspect of new geometries formed to consolidate all geometries that currenty exist?

    What shall these be in the mind where cognition is born out of the reality about our being?

    Surprizingly, as one learns about themself, the life experience seems to become clearer, as we progress along the "road of independance." Learning curves, that keep us so occupied, that the life's lesson might never seem ever finished, as we progress through one goal or another. Find, the mind flowing and growing. IT had a path which we might have never had known, had we not realized what it had amounted to in realization? It's work?

    What could the intellect become if it held all it's intention to "abstract form" in mathematics, that it never found the associations it did and were needed in pushing into those deeper realities? There was a point it no longer worked, and such a place held in the microcosmic view, was still part of a much larger cosmological view? Can this not be so?

    How can a speck of a universe be physically identical to the great expanse we view in the heavens above? (Greene, The Elegant Universe, pages 248-249).


    Above it all, there were ideas in my mind that biased the way I talked and wrote, that I saw beyond what the intentions were about our participation into forging the reductionistic view, as some part of the greater whole? Why, I recognized the probelmatic koan( can I call it that) revealled in Brian Greene's wording that guided my thought process.

    This was labelled as an liminocentruc structures, and within the context of this blogger experience of writing, I wrote about them historically, as a place visited, and as images that arise in mind, that could have represented aspects of our wholeness.

    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.


    Maybe, mandalic in origins, that such symbols revealled the deeper insight of the soul who had travelled and secured the "parcel of thought gained" as packages to be born in mind, to surface time and time again?

    What use to loose our pursuates to self actualization, and immmediate recognitions of that peak experience, to have found Maslow had created a pyramid of a kind? It had already rested deeply in my own mind's creations, as a model formed. Can I progress his thoughts and his models mine. I most certainly can, and I have the history to prove this, as I incinuate from what is baised in my own views. My writing.

    Who is Abraham Maslow, that such idealizations would amount to a psychological veiw I engaged in just the last couple of days or so, that I'd found some association too, model depictions, that I myself had created.

    Consider this the base of the pyramid and the four faces, and what value this insight that such perfection could have arsien from Maslow's hierarchal renditions towards self actualization, that the lower centers of humanity would have been it's struggle in the heart, to have become actualized in the heart of mind, as a transcendance of thought, gained?

    It was with some historical perspective that having spent years studing, that such model was produced. Which guided my own wording and thinking as I developed. Befuddle readers, as to the demands for a more clearer kind of writing.

    Asked, if the most predominante language should be, I too had said math, but most will say english. I give my reasons why, for math, yet so inexperienced am I it's many forms:)

    The archetype has no form of its own, but it acts as an "organizing principle" on the things we see or do. It works the way that instincts work in Freud's theory: At first, the baby just wants something to eat, without knowing what it wants. It has a rather indefinite yearning which, nevertheless, can be satisfied by some things and not by others. Later, with experience, the child begins to yearn for something more specific when it is hungry -- a bottle, a cookie, a broiled lobster, a slice of New York style pizza.

    The archetype is like a black hole in space: You only know its there by how it draws matter and light to itself.


    Less comprehensible no doubt, without out the reader having has some idea of where I was speaking from? No, not from some "other worldly" person like PLato, but an "archetype used" to progress the thoughts of many who had themself engaged in science, about the greater perception/inspiration, as we moved back from the Plato's Cave, to gain in light, about man's imprisonment. As we have "unchained the mind" from the links/matter that bind us.

    So you might say what changed?

    As I read some more on Maslow, I learnt about many things about my own mind that felt true, to what was being read. That I understand now, that the first part of the lesson about self and it's motivation with years of study, might had seen and been lost, had I not now concluded some thoughts about what I have gained in recognition about self? Time in perception about the past allows this recollection and reminincing now focused forward.

    What could be added to Maslows hierarchal diagram of thinking mind and about the steps of progression had some kind of self actualization been bound in the determined mind of one who was not a conformist? To any degree, who liken the freedom to study outside all of the rules of engagement, was still very respectful of the halls of higher learning.

    Engaging life as a father and husband, the early years and education did not ever reveal that I would be capable less than the man working ever with his hands and mind to be paid? That his family needed to be supported and growth accomplished as any child would in nurture. While amidst this, a experimentor, and philosopher, as student of life in father felt.



    You had to be motivated( what kind of motivation is seeking, what is it's base), or why would you waste your time travelling through the idealizations we do encounter. Facing to see what modulation of thought might do in seeing anew? You had to rise above those lower centers. Such a climb, to the heart in mind(some might know of it's truth comparison in images shown here. Was part of the actualization process after attending class?



    Alchemcial processes might have shown such step processes engaged in the process of purifying(psychological), as well as leading to the understanding of who the king was(ego) and how mastery would have been gained over?

    Saturday, April 15, 2006

    On Gauss's Day of Reckoning

    A famous story about the boy wonder of mathematics has taken on a life of its own -Brian Hayes



    Illustration by Theoni Pappas

    In a fanciful drawing done in the manner of a woodcut, the young Carl Friedrich Gauss receives instruction in arithmetic from the schoolmaster J. G. Büttner. As the story goes, Gauss was about to give Büttner a lesson in mathematical creativity.


    To me the historical significance of this research is important to me. People could chastise me for saying that the research I do has no quality, then what should be assumed with scientific credentials? Still the romance I have for such abstractions and development of thinking is important just the same. It is about creativity to me, and looking back to the ingenuity of thought, is something I can see in everyone. One doesn't have to consider them self less then, just by being the student that would solve the problem, while insight and acute perception, might have been revealed in one who could throw down the slate the quickest.

    The story is fascinating tome on a lot of different levels and to tracking down the essence of what we see passed from one hand to another, and how this ambiguity might creep in and additions make there way for added material.

    I understand this in our response to writing science, with what language is supposed to be. Sure talk about chinese , Italian, Latin of ole, and we want to know what the truest expression of the language should be?

    Of course this is the responsibility of math, that a common basis be found, between all languages, that the source would have described it so abstract/yet closest to the center of the circle) that all would understand and could work the abstract nature of this math.

    I feel guilty, that I cannot contribute so well to this math language, that I strive to listen very good to the concepts espoused, as close as possible to the development of this Algebraic way of seeing.

    Yes, it is as important, as the geometrical seeing that it be inherent in the way things abstractly can be seen. That both would have supported the continued work fo science.

    Mine then is the student's plight in a vast world that I exist away from, yet, try and stay as close as I can to learn.

    Do I sanction everyones abilities away from this in character, is no less then the character I assume, and has been treated. That respect be given, might have found the truer calling of sharing the insights, be as truthful as possible. We should all strive to this of course.

    What is Swirling in my Mind

    As I lay there many things float through my mind about how we are seeing things now.

    So the article above sparked some thoughts here about Sylvestor surfaces and B field understandings, that also included Lagrangian perspective along with WMAP polarization mapping. All these things seem so disconnected?

    I keep finding myself trying to wrap all of this in a gravitational perspective as it should , no less important then gauss contributions, hidden for a time, while the student of his brings the perspective for us all to see. So how familiar is protege as Riemann that his Hypothesis is so much the like of the numbers apparent, as in the youthful gaze of the student challenged.

    Wednesday, April 12, 2006

    Computer Language and Math Joined from Artistic Impressionism?

    Most people think of "seeing" and "observing" directly with their senses. But for physicists, these words refer to much more indirect measurements involving a train of theoretical logic by which we can interpret what is "seen."- Lisa Randall




    Cubist Art: Picasso's painting 'Portrait of Dora Maar'
    Cubist art revolted against the restrictions that perspective imposed. Picasso's art shows a clear rejection of the perspective, with women's faces viewed simultaneously from several angles. Picasso's paintings show multiple perspectives, as though they were painted by someone from the 4th dimension, able to see all perspectives simultaneously.


    Sean from Cosmic Variance writes his opening post by including the title, "The language of Science".


    I would have said maths as well, yet, as a Layman there is much for me to learn.


    THOMAS BANCHOFF has been a professor of mathematics at Brown University in Providence, Rhode Island, since 1967. He has written two books and fifty articles on geometric topics, frequently incorporating interactive computer graphics techniques in the study of phenomena in the fourth and higher dimensions


    The marriage between computer and math language(Banchoff) I would say would be important from the prospective of displaying imaging, seen in the development of abstract language as used in numerical relativity? Accummalated data gained from LIGO operations. Time variable measures?



    My first demonstration was with a Calabi Yau model of the torso. Visually seeing this way, helped to progress understanding. The transferance from the math structure to imaging in computer, to me, seemed very hard thing to do.


    Alain Connes

    Where a dictionary proceeds in a circular manner, defining a word by reference to another, the basic concepts of mathematics are infinitely closer to an indecomposable element", a kind of elementary particle" of thought with a minimal amount of ambiguity in their definition.



    If the math is right, the "concepts spoken," will be right also?



    How such reductionism is held to the values of science, is seen in the work of the calorimeters. Glast and LHC designs give introspective views of how fine our perspective is being shaped. Can we see the underlying imaging as a toll, respective of reductionism as seeing the dynamical and geoemtrical background to all events measured? LIGO in data accumulation, describing the infomration released into the bulk perspective.

    Toroidal_LHC_ApparatuS

    In the theory of relativity, momentum is not proportional to velocity at such speeds.) Thus high-momentum particles will curve very little, while low-momentum particles will curve significantly; the amount of curvature can be quantified and the particle momentum can be determined from this value.

    Monday, April 10, 2006

    Describing the Intuitive Process?

    True creativity often starts where language ends-Arthur Koestler


    If such a image is recognized in how we attain such clarity, then would such a map be insignificant? What was conducive to the event happening? Fishing the deep waters of our subconcious purposely or with no cause other then to resolve a problem?



    As subjective as the topic of intuition might be in regards to each others abilities, I see no reason why such a process should not be explained. People with good science abilities recognize that this process is a valid one regardless of the leanings towards atheistic, or godliness in bias, that I think appropriate that it is taken out of the subjective realm and mysticism? That any good luck, might wane, if all of a sudden talked about.

    Clifford:
    His was the best single sentence summing up the concept, as we were to use it that evening: Intuition is the process of getting to a destination without knowing the route. He also added: Sometimes you did not even know you wanted to get there. I've modified the words a bit, but that's the essence of what he said. It was a definition that was so appreciated, you could hear several audible hhhhmmmmms of recognition from the audience.


    There is a quiet recognition here, of something that touches us all, and trying to explain it does not seem like a inappropriate thing to do. Thus I would try and model a approach no different then the mathematician or scientist who is at a lost for words/math. Thus, Arthur’s quote up top makes some kind of sense.

    Now sure the ingenuity of the moment might seem far and in between, but being aware of the day today circumstances in our memories induced created, is a good way of watching how this process might unfold. That they might only be one time of significance, would not dissaude me from stating that it is more likely encounter more then one might think. An example multiplied by the number of people who say ah, yes I see, and we understand that the point about it’s significance, that we are in agreement. Is there some other explanantion, the more the merrier, that we might see the greater detail?

    This intuitive process is as applicable to our search for wordings, as it is for science/math.

    Where is the most apropriate place for such recognitions, as to when the work ends, and we are at a loss?

    A Supersymmetrical idea perhaps, or a potential resource seen in analogy like water, of the subconscious/unconscious? Would we be wise to know when such things are sent to the subconscious, that by such continued recourse in the sameness of experience, such things will arise to the surface time and time again.

    Has this emotive experience changed, or, can we assign new attitudes to what we always did uncosciously? By being aware in our daily lives, the forces of violent seas or a messy house in symbolic analogy will we have recognized the warnings from a disorganized mind, or one, that has not paid attention to the experience manifested?

    Sunday, April 09, 2006

    Arthur Koestler and Creativity

    True creativity often starts where language ends.
    Arthur Koestler


    For those who engaged the issue of intuition, can we say that this is very close to what creativity is ,and the quote suplied above, is in essence. Is the mind, having come to a point on the Aristotlean arch, as, having fully understood, that work with reason and insight would have been to see that, the medium what ever it is, is held to this regard?



    If the question is held in context of the mind and foci is strong, in what probabilistic venue would we see such events as issuing from someplace? This I would say would be the "unconscious" and in having diagramed this in a schematic way, how is it that such causations, might have been tied to the fisherman's line and lure, that is sent deep into a future for an examination result.

    Of Koestler’s many books, his powerfully anti-Communist novel Darkness at Noon (1941) is still the most famous, but he wrote one book that focused squarely on the paranormal – The Roots of Coincidence (1972). Here, he attempts to find a basis for paranormal events in coincidence, or more precisely synchronicity, so that there is only one phenomenon to explain rather than many. He proceeds to seek the roots of coincidence in the Alice-in-Wonderland world of quantum physics, the infinitesimally small subatomic realm where our everyday logic no longer holds sway, where particles can be waves and vice versa, where forces that only mathematical equations can glimpse swim in the dark, unfathomable ocean of probability before the manifestation of either matter or mind. Towards the end of the book, Koestler pleads that parapsychology be made “academically respectable and attractive to students”, otherwise the “limitations of our biological equipment may condemn us to the role of Peeping Toms at the keyhole of eternity”.


    So it was gathered all around, everything that we were involved with, and out of it, a solution abstractually engaging the mind in symbolisms of a language not understood. But still relevant. What would this new language be, if it had run it's course previously, and we needed new insight. We were careful then in understanding the porgress can be made in our expectancy, as well as having full confident in the self, to explore these unknown regions.

    Who better then to create the dialogue necessary in bringing forth the creative flow, if we had acknowledged the teacher and student, within ourselves?

    Art Mirrors Physics Mirrors Art, by Stephen G. Brush

    The French mathematician Henri Poincaré provided inspiration for both Einstein and Picasso. Einstein read Poincaré's Science and Hypothesis (French edition 1902, German translation 1904) and discussed it with his friends in Bern. He might also have read Poincaré's 1898 article on the measurement of time, in which the synchronization of clocks was discussed--a topic of professional interest to Einstein as a patent examiner. Picasso learned about Science and Hypothesis indirectly through Maurice Princet, an insurance actuary who explained the new geometry to Picasso and his friends in Paris. At that time there was considerable popular fascination with the idea of a fourth spatial dimension, thought by some to be the home of spirits, conceived by others as an "astral plane" where one can see all sides of an object at once. The British novelist H. G. Wells caused a sensation with his book The Time Machine (1895, French translation in a popular magazine 1898-99), where the fourth dimension was time, not space.


    So, would we have recognized some of these features, in the way the words are written, or how the question mark, would transcended the inspiration sought and found from others, who would propel us forward? The conditions then and foundational attitudes had to rely on what history had already gone through, that we might have recognized also the work that Poincare might have relinquished in that dialogue. To have propelled other minds, like Picasso or Einstein forward?

    Is this where "time" became something of a issue with the space coordinates, that such resolution might have paved the way for a spacetime? Answered, what the fourth dimension actually was? Such progression then would have been important, as we move forward in society that not only had Poincare provided the prospect, but that also Grossman in the geometrically refined views sought out as well, to contribute to the troubles Einstein was facing?

    Where these might have thought to be random, the events are tied together? Are seen in the actualization of what trasncended these two random events? Or were they?



    We talk about the historical time and around then, what was happening if we had seen information on Flatland and Abbott? Issues of mysticism held in context of what those extra dimensions might actually mean.

    Out of this, a new found responsibility, as to how such mysticism once held in the spookiness of Einstein, has now an explanation that has been further refined in what a Anton Zeilinger might have been doing for us?

    Friday, April 07, 2006

    Enlightenment of a Kind?

    The Structure of Consciousness John Fudjack - September, 1999

    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'.


    Liminocentric Structure

    I wonder if I had related this piece of information that I had gained in my research would have been of benefit here for those who believe in the singularity? If it irrates the conscousness long enough, and hard enough, what will be released in the quiet moment that had been conducive to creativity flowing?


    'The Princess & The Pea' from 'The Washerwoman's Child'


    If you thought it "the pea" or some object so dense, well I have something else to consider when we see the dynamical way things collapse, and are reborn, to become the motivation let's say, for a inflationary new universe?

    But it's more then that, if one considered Brian Greene's quote?

    In fact, in the reciprocal language, these tiny circles are getting ever smaller as time goes by, since as R grows, 1/R shrinks. Now we seem to have really gone off the deep end. How can this possibly be true? How can a six-foot tall human being 'fit' inside such an unbelievably microscopic universe? How can a speck of a universe be physically identical to the great expanse we view in the heavens above? (Greene, The Elegant Universe, pages 248-249).


    That statement in bold troubled me for a long time. There is an image I like to show that describes this breakthrough, not saying whether or not this is a type of enlightenment? I really don't know what that means I think.



    In this metaphor, when we are seeing the donut as solid object in space, this is like ordinary everyday consciousness. When we see the donut and the hole at its center, this is like a stage of realization in which 'form' is recognized as 'empty'. When we zoom in extremely closely and inspect the 'emptiness' at the center, or zoom out an extreme distance away from the object and the donut seems to disappear and we have only empty space - this is like certain 'objectless' states of awareness that can occur in meditation. But the final goal is not to achieve the undifferentiated state itself; it is to come to the special perspective that allows us to continue to see all three aspects at once - the donut, the whole in the middle, and the space surrounding it - this is like the 'enlightened' state, in this analogy. 10 The innermost and outermost psychological 'space' (which is here a metaphor for 'concentrated attention' and 'diffused attention') are recognized as indeed the same, continuous.


    Click on quote.

    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?

    Thursday, April 06, 2006

    Hyperbolic Geometry and it's Rise

    Omar Khayyám the mathematician(6 april 2006 Wikipedia)

    He was famous during his lifetime as a mathematician, well known for inventing the method of solving cubic equations by intersecting a parabola with a circle. Although his approach at achieving this had earlier been attempted by Menaechmus and others, Khayyám provided a generalization extending it to all cubics. In addition he discovered the binomial expansion, and authored criticisms of Euclid's theories of parallels which made their way to England, where they contributed to the eventual development of non-Euclidean geometry.


    Giovanni Girolamo Saccheri(6 April 2006 Wikipedia)

    Saccheri entered the Jesuit order in 1685, and was ordained as a priest in 1694. He taught philosophy at Turin from 1694 to 1697, and philosophy, theology, and mathematics at Pavia from 1697 until his death. He was a protege of the mathematician Tommaso Ceva and published several works including Quaesita geometrica (1693), Logica demonstrativa (1697), and Neo-statica (1708).


    Of course the question as to "Victorian" was on mind. Is non-euclidean held to a time frame, or not?

    Victorian Era(wikipedia 6 April 2006)

    It is often defined as the years from 1837 to 1901


    Time valuations are being thought about here. In regards too, non euclidean geometry and it's rise. Shows, many correlations within that time frame. So that was suprizing, if held to a context of the victorian socialogical time frame. But we know this statement is far from the truth?


    Seminar on the History of Hyperbolic Geometry, by Greg Schreiber

    We began with an exposition of Euclidean geometry, first from Euclid's perspective (as given in his Elements) and then from a modern perspective due to Hilbert (in his Foundations of Geometry). Almost all criticisms of Euclid up to the 19th century were centered on his fifth postulate, the so-called Parallel Postulate.The first half of the course dealt with various attempts by ancient, medieval, and (relatively) modern mathematicians to prove this postulate from Euclid's others. Some of the most noteworthy efforts were by the Roman mathematician Proclus, the Islamic mathematicians Omar Khayyam and Nasir al-Din al-Tusi, the Jesuit priest Girolamo Sacchieri, the Englishman John Wallis, and the Frenchmen Lambert and Legendre. Each one gave a flawed proof of the parallel postulate, containing some hidden assumption equivalent to that postulate. In this way properties of hyperbolic geometry were discovered, even though no one believed such a geometry to be possible.


    History (wikipedia 6 April 2006)

    Hyperbolic geometry was initially explored by Giovanni Gerolamo Saccheri in the 1700s, who nevertheless believed that it was inconsistent, and later by János Bolyai, Karl Friedrich Gauss, and Nikolai Ivanovich Lobachevsky, after whom it is sometimes named.