Showing posts with label nodal. Show all posts
Showing posts with label nodal. Show all posts

Tuesday, May 20, 2008

Decomposable Limits of Definitions

With the discovery of sound waves in the CMB, we have entered a new era of precision cosmology in which we can begin to talk with certainty about the origin of structure and the content of matter and energy in the universeWayne Hu


There are ways in which I have "perceived the landscape" that may be more appealing to one with Bohmian views? The way in which the analogy of sound is used has deep implications not only in the avenues of expression made about the examples herein shown, but with Helioseismology's as well, and the way in which we can interpret the sun as we look at it in a greater depth.

Phil Warnell said...
as chance serves to be nothing other then an incidental cause and relies on the existence of a realm of the “possible” and not one of the “probable”. By the way your mappings of hills and valleys are quite close to this vision as it represents the “wave” as one element of reality in the Bohmian view. All that remains to be added are the particles and the dynamics that exist in the wave that are relayed to or reacted to by the particles. The mystery does not exist only the ignorance and for some the truth of it being so.


It's an exercise for me to look back over the ideas that had been going on in my mind, and observations being made about "energy stored" in a system. One would never have realized the similarities that "Colour of Gravity" implies, accepting the wave nature of the particle could have given perspective on the idea of consequence as we live our lives. Function humanly possible and the depth of these actions more tangible and though being subtle in the idea of a wave, has given matter states a place to reside given nodal definitions, just as the modular forms do, as they reside in the valleys.



How is it one sees in terms of Lagrangian views when you look out into space now that such congregation of the graviton gathered for it's exemplary views on the nature of vibration.

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 anti-nodes set up form a complex but symmetrical pattern over its surface. The positions of these nodes and anti-nodes can be seen by sprinkling sand upon the plates;


Potential

* The mathematical study of potentials is known as potential theory; it is the study of harmonic functions on manifolds. This mathematical formulation arises from the fact that, in physics, the scalar potential is irrotational, and thus has a vanishing Laplacian — the very definition of a harmonic function.
* In physics, a potential may refer to the scalar potential or to the vector potential. In either case, it is a field defined in space, from which many important physical properties may be derived.
o Leading examples are the gravitational potential and the electric potential, from which the motion of gravitating or electrically charged bodies may be obtained.
o Many entities in physics may be described as vector fields, but it is often easier to work with the corresponding potentials as proxies for the fields themselves. For instance, some force fields exert forces on a body equal to the product of the field and some invariant scalar property of the body, such as the mass or charge. As a body moves through such a force field, it rises and falls in the field's potential, gaining and losing energy through mechanical work. This exchange of energy allows the interaction to be analyzed in terms of simple laws of conservation of energy, without resorting to kinematics, which can be computationally difficult.
o In electrochemistry there are Galvani potential and Volta potential.
o The gravitational field is a notable example of such a field. The electric field also behaves this way in many cases, though in the general case it does not (see Electric potential and Faraday's Law).
* Specific forces have associated potentials, including the Coulomb potential, the van der Waals potential, the Lennard-Jones potential and the Yukawa potential.


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.


Potential Energy

Potential energy is the energy which is stored. Potential energy exists when there is a force that tends to pull an object back towards some original position when the object is displaced. This force is often called a restoring force. The phrase 'potential energy' was coined by William Rankine.[1] For example, when a spring is stretched to the left, it exerts a force to the right so as to return to its original, un-stretched position. Or, suppose that a weight is lifted straight up. The force of gravity will try to bring it back down to its original position. The initial steps of stretching the spring and lifting the weight both require energy to perform. According to the principle of conservation of energy, energy cannot be created or destroyed; hence this energy cannot disappear. Instead it is stored as potential energy. If the spring is released or the weight is dropped, this stored energy will be converted into kinetic energy by the restoring force — elasticity in the case of the spring, and gravity in the case of the weight.

The more formal definition is that potential energy is the energy of position, that is, the energy an object is considered to have due to its position in space. There are a number of different types of potential energy, each associated with a particular type of force. More specifically, every conservative force gives rise to potential energy. For example, the work of elastic force is called elastic potential energy; work of gravitational force is called gravitational potential energy, work of the Coulomb force is called electric potential energy; work of strong nuclear force or weak nuclear force acting on the baryon charge is called nuclear potential energy; work of intermolecular forces is called intermolecular potential energy. Chemical potential energy, such as the energy stored in fossil fuels, is the work of Coulomb force during rearrangement of mutual positions of electrons and nuclei in atoms and molecules. Thermal energy usually has two components: the kinetic energy of random motion of particles and potential energy of their mutual positions.

As a general rule, the work done by a conservative force F will be



where ΔPE is the change in the potential energy associated with that particular force. The most common notations for potential energy are PE and U. It is important to note that electric potential (commonly denoted with a V for voltage) is not the same as electric potential energy.




We can't actually hear gravational waves, even with the most sophisticated equipment, because the sounds they make are the wrong frequency for our ears to hear. This is similar in principle to the frequency of dog whistles that canines can hear, but are too high for humans. The sounds of gravitional waves are probably too low for us to actually hear. However, the signals that scientists hope to measure with LISA and other gravitational wave detectors are best described as "sounds." If we could hear them, here are some of the possible sounds of a gravitational wave generated by the movement of a small body inspiralling into a black hole.




See:

  • The Sound of Gravitational Waves

  • The Sound of the Landscape

  • Nodes and Anti-nodes

  • Ways IN which To Perceive Landscape?
  • 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.

    Saturday, July 29, 2006

    What is the False Vacuum?



    Quantum Field Theory

    Quantum Vacuum:
    In classical physics, empty space is called the vacuum. The classical vacuum is utterly featureless. However, in quantum theory, the vacuum is a much more complex entity. The uncertainty principle allows virtual particles (each corresponding to a quantum field) continually materialize out of the vacuum, propagate for a short time and then vanish. These zero-point vibrations mean that there is a zero-point energy associated with any quantum field. Since there are an infinite number of harmonic oscillators per unit volume, the total zero-point energy density is, in fact, infinite. The process of renormalization is usually implemented to yield a zero energy density for the standard quantum vacuum, which is defined as no excitation of field quanta, i.e., no real particles are present. In other word, the quantum vacuum is at a state of minimum energy - the ground state.


    You have to be able to envision this movement in what our universe is doing. What is WMAP saying? Other events say what, in the node/anti-nodal?

    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;


    The "quantum harmonic oscillator" and "zero point as a ground state, are the basis of my thinking. :)Energy densities. I needed a way in which to see these events unfolding in the universe. Why I look at WMAPing very seriously. Why I looked at the chaldni plate very early on.

    Physically, the effect can be interpreted as an object moving from the "false vacuum" (where = 0) to the more stable "true vacuum" (where = v). Gravitationally, it is similar to the more familiar case of moving from the hilltop to the valley. In the case of Higgs field, the transformation is accompanied with a "phase change", which endows mass to some of the particles


    If you look at things in this way I have covered a lot of ground work in terms of what the basis of this universe is? "Nothing," is a extremely hard thing for me to accept when I accept the quantum harmonic oscillator, as the basis of my thinking. I had to be able to describe what I was seeing. So "sound" in analogy became a very important aspect of my research. Became discriptive of what Higgin's the graviton is doing?

    If you sprinkle fine sand uniformly over a drumhead and then make it vibrate, the grains of sand will collect in characteristic spots and figures, called Chladni patterns. These patterns reveal much information about the size and the shape of the drum and the elasticity of its membrane. In particular, the distribution of spots depends not only on the way the drum vibrated initially but also on the global shape of the drum, because the waves will be reflected differently according to whether the edge of the drumhead is a circle, an ellipse, a square, or some other shape.

    In cosmology, the early Universe was crossed by real acoustic waves generated soon after Big Bang. Such vibrations left their imprints 300 000 years later as tiny density fluctuations in the primordial plasma. Hot and cold spots in the present-day 2.7 K CMB radiation reveal those density fluctuations. Thus the CMB temperature fluctuations look like Chaldni patterns resulting from a complicated three-dimensional drumhead that


    String theory is only "topologically equivalent" to the shape and values of those events microscopically/macroscopically at a certain plac einthe unfolding universe? I learnt that the energy densities flunctuations, would give meaning to the place dynamically and geometrically speaking, to the place in time, that is unfolding. What evidence do you have for that if "Higgin's" is strong in some event places and not in others? :)

    The star Eta Carina is ejecting a pair of huge lobes that form a "propeller" shape. Jet-like structures are emanating from the center (or "waist"), where the star (quite small on this scale) is located.


    Yes, there are many event shapes and they are diverse. But they happen within context of a "larger false vacuum" scenario as I am explaining it, while they make their way to what is "True?"

    I had to "go further" then the microseconds, strings inhibit?

    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.

    Friday, July 28, 2006

    Emergence: A Point in Spacetime

    We used to think that if we knew one, we knew two, because one and one are two. We are finding out that we must learn a great deal more about 'and'."
    - Sir Arthur Eddington (1882-1944)



    Foundational perspectives are important to me, and are part and parcel of a larger frame of thinking that comes into materiality.



    What basis then leads such thinking, that something could manifest from another place and become the material reality with which we deal? I know this is about "what is in the now," yet such recognition of what is "chaotic and has complexity" now becomes an organizational pattern. What is "chaos theory?"

    From the untold many constituents in the bulk perspective, "Higgin's" has some new found ways in which he can express himself. He see's new ways of travel in the universe?

    What emergent properties would have such conditions and gatherings have on routing new universe from tunnelling found created within cosmological events? Which if reduced too, as QGP states of existance, would produce similar resulting anomalies encountered in superfluid state realities?

    Since he is beyond what we are accustom too of the Standard model, then what value does Higgin's play as he is born to the level with which he now embues all of creation. He is strong on "some points," then others?

    The Unfolding Universe



    There is but one kind of entropy change. Entropy change is due to energy dispersal to, from, or within a system (as a function of temperature.), measured by microstate change: S = kB ln [microstates final / microstates initial ].


    If you look to the arrow of time, and "the event from which it sprang," how did such strings become the basis of thinking along this road to what exists in the universe today? It has been assign "a place" in this segment of the time's growth within this universe, and we have been sent "back in time to the reductionsitic valuation" of what is seen in the colliders, to see what is emergent today. But what did they find at the beginning? What shall we find at "the beginning" of any universe?

    What effect did strings have on this evolution?

    The emergent universe

    The breathtaking quality of emergence lies in its broad applicability, from ants to people, and from electrons to galaxies. We assume that we can sing and dance together because we are intelligent and coordinate our behavior, and so it is surprising to see the coordinated chirping of crickets, and shocking to discover that the same principles apply to mindless things such as water molecules arranging themselves in a crystalline structure to form ice. When you get enough things together, and they interact in just the right way, they suddenly shift to coherent behavior. Emergent principles may govern the smallest units of matter, as in electrons humming together within a superconductor, to the largest, as when entire galaxies clump into regular patterns. Scientists across multiple fields have found that such systems don't require a central ringleader directing the way – their self-organization is inevitable, due to the local interactions of nearest neighbors.

    Emergence represents a revolutionary paradigm shift away from reductionism (the understanding of the world through understanding the component parts. Scientists working within the revolutionary paradigm of emergence study the organizing principles causing collective behavior across many disciplines.

    The EUP is focusing on the following types of emergent systems


    A point in space implies that such emergence into the spacetime co-ordiantes, have some "other dimensional relation" beyond what we are saying of 3+1? So of course I am enthralled by such an emergence and what could come into these spacetime coordinates.

    So the universe in it's unfolding has certain attributes in it's early phases that amount to the conditions Sean Carroll may sees of it? If this is the case, then that valuation of the universe, in it's unfolding is doing what? It's temperature?

    If you "wrap the whole of what this arrow of time is, in a geomtrical sense," then the strings and the time of the universe in "Sean's perspective" is inclusive?

    So how do we say such a crunch is to happen? How does such thinking become part of our reasoning, to say that the universe will collapase on itself, and become something new? Will it ever?

    Tegmark does not take to such "topological expressions of the universe," yet, if you look at the WMAP mapping of the universe what is it you see besides these points of expression, as some nodal and anti-nodal analogy to the cosmological events? Tunnels, through which we can travel? New energy, being distributed back into the universe, in the form of dark energy/matter?

    We report results of the first strangelet search at RHIC. The measurement was done using a triggered data-set that sampled 61 million top 4% most central (head-on) Au+Au collisions at $\sNN= 200 $GeV in the very forward rapidity region at the STAR detector. Upper limits at a level of a few $10^{-6}$ to $10^{-7}$ per central Au+Au collision are set for strangelets with mass ${}^{>}_{\sim}30$ GeV/$c^{2}$.


    If strangelets have been disproved then what "crazy thoughts" shall we now think of, in what constitutes the "new physics?" Tachyon condensation perhaps?

    What is the "false vaccuum" to the "true," when it is geometrically expressed? :)

    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?

    Plato:
    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?

    Thursday, May 12, 2005

    A recipe for making strings in the lab

    All you educated people must forgive me here. I do not have the benefit, of the student and teacher relationship, yet I rely heavily on my intuitive processes. I cannot say whether for sure these are always right. IN this sense, I would not have been liked to call a Liar, or one who had ventured forth to spread illusionary tactics to screw up society.

    On the contrary, my ideal is set in front of my mind, and all things seem to gather around it most appropriately. A place and time, where good educators have watched out for the spread and disemmination, that could lead society away from, good science? I will give credit to Peter Woit in this sense. Lubos Motl for staying the course. As to those who excell these views for us as well. We are your distant cousins in need of education and for those, in the backwoods of isolation.

    Fixations on Objective Design

    This is far from the truth of my goal, and "fixations on objective design" of reality, are not what I was hoping to reveal. More, the understandng, that to get there, there are some considerations to think about.

    The idealization in theoretcial developement should show this. The physics must accompany the development of this lineage of mathematics, as well as the lineage of physics must lead mathematics? What is the true lineage? Could any mathematican tell me or are they limited to the branches they deal with in physics?

    Now back to the topic of this thread.

    When I was a kid, I liked to take buttons and place a thread through them. Watching Mom, while I prep the button, she got ready to sew. I would take both ends of the thread and pull it tightly. I liked the way the button could spin/thread depending on how hard I pull the thread.



    Now for some of you who don't know, the pythagorean string tension was arrived at by placing gourds of water on strings, to dictated the harmonical value, "according to weight?"


    It is said that the Greek philosopher and religious teacher Pythagoras (c. 550 BC) created a seven-tone scale from a series of consecutive 3:2 perfect fifths. The Pythagorean cult's preference for proportions involving whole numbers is evident in this scale's construction, as all of its tones may be derived from interval frequency ratios based on the first three counting numbers: 1, 2, and 3. This scale has historically been referred to as the Pythagorean scale, however, from the point of view of modern tuning theory, it is perhaps convenient to think of it as an alternative tuning system for our modern diatonic scale.


    So we see the nature spoken too, in a much different way?

    KakuIf strings are to be the harmony then what music do such laws of chemistry sing? What is the mind of God? Kaku saids,"According to this picture, the mind of God is Music resonanting through ten- or eleven dimensional hyperspace which of course begs the question, If the Universe is a symphony, then is there a composer to the symphony."

    Simply put, superstring theory says all particles amf forces are manifestations of different resonances of tiny one dimenisonal strings(or possibly membranes) vibrating in ten dimensions.


    Artist's impression of the setup.

    The disks represent the bosonic condensate density and the blue balls in the vortex core represent the fermionic density. The black line is a guide to the eye to see the wiggling of the vortex line that corresponds to a so-called Kelvin mode, which provides the bosonic part of the superstring
    (image and text: )arXiv.org/abs/cond-mat/0505055.

    Now I will tell you why this elementary experiment is very good for fixing the mind around some potential idea? Now, when I look at it, and look at the ball placings on each disk ( are they in the same spot....hmmm yes this could be a problem), each disk will automatically spin according to the placement of the ball, in relation to it's edge. Now when you place this in line, like a one dimensional string, as if you see this string vibrate, imagine how you would get these waves to exemplify themself and the disk placement acccordingly.

    Now it is most important that you see the tension of this string vibrate, in relation to how we see the disks spin. Pull tightly on the string and you get a wonderful view of a oscillatory nature, that is dictated by the respective placement of the balls on the disk. Good stuff!

    In brackets above, the exploration of artistic rendition is very good, because it allows you to further play with this model and exhaust it's potential. Would it be incorrect to say, that ball placement and vibratory placement can be related to string harmonics? In this case, how would KK tower and circle allocation to disk identify this string, but to have some signature in the way these disks spin,,individually and as a whole(one string)

    The link below was 2000 but it is effective in orientating thoughts?


    To find extra dimensions of the type studied by the CERN group, experimenters are on the alert for what they call Kaluza-Klein towers, which are associated with carriers of the nongravitational forces, such as the photon of electromagnetism and the Z boson of the weak force. Excitations of energy within the extra dimensions would turn each of these carriers into a family of increasingly massive clones of the original particle—analogous to the harmonics of a musical note.


    For me, nodal impressions at spots, serve me well to see the vibratory nature of the reality that we live in. Balloons with dyes spread around it, and sound application help us see where such nodal point considerations would settle themself to these distinctive notes. You take the sum(it harmical value, in order to distinctively classify the partcle/object?

    Maybe we can have experts describe this in a most genaral way, where I might have complicated the picture:?) What I did want to say about artistic rendition, is like the work of Penrose. It is very important it culminates the vision, to real things? As I showed in Monte Carlo effect. Or, John Baez's view of Plato's God?

    Ultracold Superstrings byMichiel Snoek, Masudul Haque, S. Vandoren, H.T.C. Stoof

    Supersymmetric string theory is widely believed to be the most promising candidate for a "theory of everything", i.e., a unified theory describing all existing particles and their interactions. Physically, superstring theory describes all particles as excitations of a single line-like object. Moreover, the bosonic and fermionic excitations are related by supersymmetry. A persistent problem of string theories is the lack of opportunity to study them experimentally. In this Letter, we propose and analyze a realistic condensed-matter system in which we can create a non-relativistic Green-Schwarz superstring in four space-time dimensions. To achieve this, we make use of the amazing tunability that is now possible with ultracold trapped atomic gases. In particular, for the creation of the superstring we consider a fermionic atomic gas that is trapped in the core of a vortex in a Bose-Einstein condensate. We explain the tuning of experimental parameters that is required to achieve supersymmetry between the fermionic atoms and the bosonic modes describing the oscillations in the vortex position.


    Now what is very interesting to me is the way such harmonical value can be seen in in relation to particle identification. It is not always easy to see how such disks and toys could exemplify this for us, but I am trying. If we wanted to see the new toy and the relations that I will show how would this all relate to the disk and the ball on it?



    I wanted to look at what you were saying to "try," and understand.


    One of the most exciting predictions of Einstein's theory of general relativity is the existence of a new type of wave, known as a gravitational wave. Just as in electromagnetism, where accelerating charged particles emit electromagnetic radiation, so in general relativity accelerating masses can emit gravitational radiation. General relativity regards gravity as a curvature of spacetime, rather than as a force, so that these gravitational waves are sometimes described as `ripples in the curvature of spacetime'.





    This mode is characteristic of a spin-2 massless graviton (the particle that mediates the force of gravity). This is one of the most attractive features of string theory. It naturally and inevitably includes gravity as one of the fundamental interactions.




    By looking at the quantum mechanics of the relativistic string normal modes, one can deduce that the quantum modes of the string look just like the particles we see in spacetime, with mass that depends on the spin according to the formula




    Remember that boundary conditions are important for string behavior. Strings can be open, with ends that travel at the speed of light, or closed, with their ends joined in a ring.


    See:

  • Quantum Harmonic Oscillators


  • Distinctions of Holographical Sound
  • Friday, March 18, 2005

    On a Very Large Scale Spatial Curvature?



    These are beautiful pictures of flowers my wife grew, and as a collage they make a nice way of expressing the diversity of galaxies, within context of our whole universe.:)

    So you develope this sense on the large scale about what is possible given certain circumstances. What is driving inflation? As this universe expands and we realize that Omega=1 one has to assume that teetering on the brink of a topolgical form has some significane in how we see the overall expression of this same universe?



    What are supersymmetrical valuations telling us about the nature of the universe in that the beginning? Is it "seed like" and how would such things be driven too, if something did not already exist? Can this nugget actually be living in nothing and arise from nothing? This logic is really hard to swallow for me, yet I recognized that a dynamcial universe needed soemthing in order to drive it from such flat state of existance, to indicators that would have revealled and explained these geometries/topologies.


    Unsymmetrical-cooling-gravity weaker
    Expanding
    \ /
    \ /
    \ /
    _\ /___
    / \ / /
    / \ / /
    / \/ / --------
    / / Supergravity
    ------------- Symmetrical
    ^
    I
    seedlike



    If you define something arising from such a state where nothing exists, the logic saids, that the geometry could have never arisen if you did not have some motivator telling it too? So you begin to enteretain cyclical natures that would be very revealling. Steinhardt, Turok, and others start to wonder then about how these things could materialize?

    Image Hosted by ImageShack.us


    So we look at the span of time in relation, from the supersymmterical state to the 300,000? Yet on a dynamical level if the universe was to level out in fifteen billions years, then we would have understood that we had only seen one part of this dynamic process revealing itself from a state of existance maybe as a nugget form, to extend itself, all the way to the outer fringes and cooling nature, in a flat state. Will it turn back to the crunch?



    One consequence of general relativity is that the curvature of space depends on the ratio of rho to rho(crit). We call this ratio Omega = rho/rho(crit). For Omega less than 1, the Universe has negatively curved or hyperbolic geometry. For Omega = 1, the Universe has Euclidean or flat geometry. For Omega greater than 1, the Universe has positively curved or spherical geometry. We have already seen that the zero density case has hyperbolic geometry, since the cosmic time slices in the special relativistic coordinates were hyperboloids in this model.


    So the logic is telling me that such a crunch would have had to signal other geometries/topologies, that would kick in, that taken in view of the large way in which we are taking snapshots, this consistentcy is being, and should be topolgically considered even though it is happenng on such large scales?

    If a blackhole existed in the center of every galaxy, then the universal expression in nature would detail for us "phases in symmetrical breaking" within the overall larger perspective?

    On this larger perspective and sense, we would see this mode of operandi, expressing itself many times not just in context of the whole universe, but within the subtle parts, all the way down to the microstates of existance? Thes ewould have to be initiated even within context of our safe and surreal world of matter states, that we have come to love and feel safe in?:)

    So what does sound have to to do with all this?

    I like knocking the wind out of the sails in order for one to shift perspective in how resonances might be percieved and such gatherings in nodal point cosiderations, as string indicators of gravitonic expression.

    In order to shift this focus to such states of cyclical natures in the realms of topological considerations, you had to understand that even on a flat plate in Chaldni examples, these views were developing on much larger scales, on ballons with dyes, all the time revealing resonant features, to the quality of those same sounds?

    Ahem!:)Ya I know. How do you transfer such thinking from orbits of Mercury and binary star rotations to signal valuations in sound determinations? Now remeber I gave a very global perspective on the unverse that include geometry/topological considerations. I wanted to shift these views to viable means of expression.:)

    One the Earth as a Sphere is not so Round, and giving the symetrical relaizatin of a sphere, smaller circles and all, there had to be a way inorder to speak to the 1r radius of expresion not just a s a inverse square law valution of gravity, but also within context of other things based on this law. These within the case of the standard model would have to be inclusive in a model design.

    Wednesday, February 02, 2005

    Left or Right Brain Doesn't Matter, When your In The Dimenisons?

    Einstein in response tyo Minkowski's Space World: 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


    If we recognize the valuation of what exists regardless of the things that would hold the photon for consideration, the realization is, that the inetrplay would have revealled the Halo in definition of that gravitational radiation?

    THE NOTION OF DIMENSION IN GEOMETRY AND ALGEBRAYuri I. Manin
    A natural or acquired predilection towards geometric or algebraic thinking and respective mental objects is often expressed in strong pronouncements, like Hermann Weyl’s exorcising “the devil of abstract algebra” who allegedly struggles with “the angel of geometry” for the soul of each mathematical theory. (One is reminded of an even more sweeping truth:


    This goes back to the origins of the math, as to whether it is manufactured or is natural? Some of these distinctions are self evident as we look at Pascal's triangle for a selection of what may arize out of what might be called quantum geometry. We had to understand it's origins and the distant functions that would have been revealled? We also understood where such a view would have become realizaed in the detrminations of the nergy that was produced and the curvatures that would be inherent in this scalable feature relegated to dimension.



    If the brain resonates, then it may become aware of the undercurrents that would subjectively be realized in the subconscious, to have understood that it too was capable of determining the outcome to a pressupposed course of action taken in life? Chaldni plates, but much subtler in the brain's organization?

    The subconcious was able to predict the outcome of the actions that have been set, by the actualization of consensus. Ramanujan moduli forms may have, from what I understood found such expressions and spoken to the predictabiltiy of outcome, in relations to what I have just said above.

    Einstein's usage:
    We can distinguish various kinds of theories
    in physics. Most of them are constructive.
    They attempt to build up a picture of the more
    complex phenomena out of the materials of a
    relatively simple formal scheme from which
    they start out. Thus the kinetic theory of gases
    seeks to reduce mechanical, thermal, and
    diffusional processes to movements of molecules
    -- i.e., to build them up out of the hypothesis of
    molecular motion. When we say that we have
    succeeded in understanding a group of natural
    processes we invariably mean that a constructive
    theory has been found which covers the
    processes in question.
    Along with this most important class of
    theories there exists a second, which I will
    call 'principle-theories'; These employ the
    analytic, not the synthetic, method. The elements
    which form their bases and starting-point are not
    hypothetically constructed but empirically
    discovered ones, general characteristics of
    natural processes, principles that give rise to
    mathematically formulated criteria which these
    separate processes or the theoretical
    representations of them have to satisfy. Thus
    the science of thermodynamics seeks by
    analytical means to deduce necessary conditions,
    which separate events have to satisfy, from the
    universally experienced fact that perpetual
    motion is impossible.
    The advantages of the constructive theory
    are completeness, adaptability, and clearness,
    those of the principle theory are logical
    perfection and security of the foundations.
    The theory of relativity belongs to the latter
    class. In order to grasp its nature, one needs
    first of all to become acquainted with the
    principles on which it is based. Before I go
    into these, however, I must observe that the
    theory of relativity resembles a building
    consisting of two separate stories, the special
    theory and the general theory. The special
    theory, on which the general theory rests,
    applies to all physical phenomena with the
    exception of gravitation; the general theory
    provides the law of gravitation and its relations
    to the other forces of nature.

    Found in: "What is the Theory of Relativity?",
    Einstein, Ideas and Opinions, Three Rivers
    Press, p. 228-9.


    Part of the difficulty in understanding the analogies to scientific pursuite is the relationship what might be drawn to the "idea"? Like sound, consolidation in nodal points lines of the Chaldni plate. Such predictive features of the marble drop of course ask us to question what outcome waould be a viable model to what might be demonstrated in the Bell curve?

    Quantum gravity models in the membranes show nodal point flips as in the monte carlo model for comprehesnion. Demonstrates the triangular function of this energy, and becomes quite pronouced, the greater the energy?


    We do not know for sure how particles get their mass. The current best idea is that they acquire it by interacting with a field (like a gravitational field), known as the Higgs field. The more strongly a particle interacts with this field, the greater its
    mass. The field is expected to produce a new particle called the Higgs particle.


    INherent in the quest for the appropriate visaulization of course depends greatly on where these abstractions exist? Without this ocean in which we are immersed, it would make no sense to speak about maths which do not arise into fractorialized states of existance. Not arisng from states of nothinness, but from states of possibile outcomes?


    Thursday, December 30, 2004

    Where to Now?



    Once you see parts of the picture, belonging to the whole, then it becomes clear what a nice picture we will have?:) I used it originally for the question of the idea of a royal road to geometry, but have since progressed.

    If you look dead center Plato reveals this one thing for us to consider, and to Aristotle, the question contained in the heading of this Blog.

    It is beyond me sometimes to wonder how minds who are involved in the approaches of physics and mathematics might have never understood the world Gauss and Reimann revealled to us. The same imaging that moves such a mind for consideration, would have also seen how the dimensional values would have been very discriptive tool for understanding the dynamics at the quantum level?

    As part of this process of comprehension for me, was trying to see this evolution of ordering of geometries and the topological integration we are lead too, in our apprehension of the dynamics of high energy considerations. If you follow Gr you understand the evolution too what became inclusive of the geometry developement, to know the physics must be further extended as a basis of our developing comprehension of the small and the large. It is such a easy deduction to understand that if you are facing energy problems in terms of what can be used in terms of our experimentation, that it must be moved to the cosmological pallette for determinations.

    As much as we are lead to understand Gr and its cyclical rotation of Taylor and hulse, Mercuries orbits set our mind on how we shall perceive this quantum harmonic oscillator on such a grand scale,that such relevance between the quantum and cosmological world are really never to far apart?

    As I have speculated in previous links and bringing to a fruitation, the methods of apprehension in euclidean determinations classically lead the mind into the further dynamcis brought into reality by saccheri was incorporated into Einsteins model of GR. Had Grossman not have shown Einstein of these geoemtrical tendencies would Einstein completed the comprehsive picture that we now see of what is signified as Gravity?

    So lets assume then, that brane world is a very dynamcial understanding that hold many visual apparatus for consideration. For instance, how would three sphere might evolve from this?

    Proper understanding of three sphere is essential in understanding how this would arise in what I understood of brane considerations.

    Spherical considerations to higher dimensions.

    Spheres can be generalized to higher dimensions. For any natural number n, an n-sphere is the set of points in n-dimensional Euclidean space which are at distance r from a fixed point of that space, where r is, as before, a positive real number.

    a 1-sphere is a pair of points ( - r,r)
    a 2-sphere is a circle of radius r
    a 3-sphere is an ordinary sphere
    a 4-sphere is a sphere in 4-dimensional Euclidean space
    However, see the note above about the ambiguity of n-sphere.
    Spheres for n ≥ 5 are sometimes called hyperspheres. The n-sphere of unit radius centred at the origin is denoted Sn and is often referred to as "the" n-sphere.


    INtegration of geometry with topological consideration then would have found this continuance in how we percieve the road leading to topolgical considerations of this sphere. Thus we would find the definition of sphere extended to higher in dimensions and value in brane world considerations as thus:



    In topology, an n-sphere is defined as the boundary of an (n+1)-ball; thus, it is homeomorphic to the Euclidean n-sphere described above under Geometry, but perhaps lacking its metric. It is denoted Sn and is an n-manifold. A sphere need not be smooth; if it is smooth, it need not be diffeomorphic to the Euclidean sphere.

    a 0-sphere is a pair of points with the discrete topology
    a 1-sphere is a circle
    a 2-sphere is an ordinary sphere
    An n-sphere is an example of a compact n-manifold without boundary.

    The Heine-Borel theorem is used in a short proof that an n-sphere is compact. The sphere is the inverse image of a one-point set under the continuous function ||x||. Therefore the sphere is closed. Sn is also bounded. Therefore it is compact.


    Sometimes it is very hard not to imagine this sphere would have these closed strings that would issue from its poles and expand to its circumference, as in some poincare projection of a radius value seen in 1r. It is troubling to me that the exchange from energy to matter considerations would have seen this topological expression turn itself inside/out only after collapsing, that pre definition of expression would have found the evoltuion to this sphere necessary.

    Escher's imaging is very interesting here. The tree structure of these strings going along the length of the cylinder would vary in the structure of its cosmic string length based on this energy determination of the KK tower. The imaging of this closed string is very powerful when seen in the context of how it moves along the length of that cylinder. Along the cosmic string.

    To get to this point:) and having shown a Platonic expression of simplices of the sphere, also integration of higher dimension values determined from a monte carlo effect determnation of quantum gravity. John Baez migh have been proud of such a model with such discrete functions?:) But how the heck would you determine the toplogical function of that sphere in higher dimensional vaues other then in nodal point flippings of energy concentration, revealled in that monte carlo model?

    Topological consideration would need to be smooth, and without this structure how would you define such collpases in our universe, if you did not consider the blackhole?

    So part of the developement here was to understand where I should go with the physics, to point out the evolving consideration in experimentation that would move our minds to consider how such supersymmetrical realities would have been realized in the models of the early universe understanding. How such views would have been revealled in our understanding within that cosmo?

    One needed to be able to understand the scale feature of gravity from the very strong to the very weak in order to explain this developing concept of geometry and topological consideration no less then what Einstein did for us, we must do again in some comprehensive model of application.



    Tuesday, December 28, 2004

    The Sound of the Landscape


    Ashmolean Museum, Oxford, UK

    As you know my name is Plato (The School of Athens by Raphael:)I have lived on for many years now, in the ideas that are presented in the ideas of R Buckminister Fuller, and with the helping hands of dyes, have demonstrated, the basis of these sounds in balloon configuration worth wondering, as simplice's of these higher dimensional realizations.



    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;


    Now you know from the previous post, that I have taken the technical aspects of string theory, and the mathematical formulations, and moved them into a encapsulated state of existance, much as brane theory has done.

    I look at this point(3 sphere derivation from euclid point line plane), on the brane and I wonder indeed, how 1R radius of this point becomes a circle. Indeed, we find this "idea" leaving the brane into a bulk manifestation of information, that we little specks on earth look for in signs of, through our large interferometers called LIGO's



    John Baez:
    Ever make a cube out of paper? You draw six square on the paper in a cross-shaped pattern, cut the whole thing out, and then fold it up.... To do this, we take advantage of the fact that the interior angles of 3 squares don't quite add up to 360 degrees: they only add up to 270 degrees. So if we try to tile the plane with squares in such a way that only 3 meet at each vertex, the pattern naturally "curls up" into the 3rd dimension - and becomes a cube!

    The same idea applies to all the other Platonic solids. And we can understand the 4d regular polytopes in the same way!



    The Hills of M Theory


    The hills are alive with the sound of music
    With songs they have sung for a thousand years.
    The hills fill my heart with the sound of music
    My heart wants to sing every song it hears....


    It's a wonder indeed that we could talk about the spacetime fabric and the higher dimensions that settle themselves into cohesive structures(my solids) for our satisfaction? What nodal points, do we have to wonder about when a string vibrates, and one does not have to wonder to much about the measure of the Q<->Q distance, as something more then the metric field resonates for us?

    This higher dimensional value seen in this distance would speak loudly to its possiblites of shape, but it is not easily accepted that we find lattice structures could have ever settled themselves into mass configurations of my solids.



    Lenny Susskind must be very pround of this landscape interpretation, as it is shown in the picture above. But the question is, if the spacetime fabric is the place where all these higher dimensions will reveal themselves, then what structure would have been defined in this expression from it's orignation, to what we see today?

    Alas, I am taken to the principles of," Spacetime in String Theory," by Gary T. Horowitz

    If one quantizes a free relativistic (super) string in flat spacetimeone finds a infinite tower of modes of increasing mass. Let us assume the string is closed,i.e., topologically a circle