Showing posts with label Veneziano. Show all posts
Showing posts with label Veneziano. Show all posts

Sunday, May 14, 2006

Building our Illusions?

Back to Fractal Neurodyamics and Quantum Chaos Part 1

10 Conclusion
The importance of developing a model of brain function which gives a consistent description of mind, consciousness and free-will, is profound. The model described links the structural instability of brain dynamics, quantum uncertainty and the dual-time model. The quantum-physical brain may thus be more than just an interface between sensory input and decision-making. It may in fact be a doorway between complementary aspects of the physical universe, the time-directed nature of real-particle symmetry-breaking and the time-symmetric aspect of the sub-quantum domain (King 1989). If so, the role of consciousness and mind-brain duality may be central to cosmology.


While I am no expert by any means and a student of, with my own learning curve, I have struggle to gain understanding of the concepts of that string theory model. That is what my site is about.

Cycle of Birth, Life, and Death-Origin, Indentity, and Destiny by Gabriele Veneziano

Yes that is a interesting article, and it could be said the Gabriele is the Father of string theory.

There were many conceptual problems for me when I kept reading about what the nature of reality could be described as? Cosmological considerations were held to the very beginning, and and anything beyond that was of course not spoken of? What is nothing?

Birth of the Universe

It has to do with the "timing" of the energy scale. At 0 second the effect of the universe is what(?) and what set this motivation into existance?


Quantum Gravity Era:

A temperature value of10320C and a time of10-43Second.

Proton-At 10 Microseconds, Quarks are bound into protons and neutrons.

Well now, it is really important to know where the timeline is, that speaks to "string theories position within the expression of that universe. So, that is important.

If one had thought the universe entropically very simple, this would have had to held some considertaions to what supersymmetrical realization would mean in regards to that beginning?

Also, that in that beginning certain ideological factors become known when held to the understanding of the colliders and what is taking place there.

The blackhole danger creation of in RHIC, as well as, how this extension of thought(strangelets) has been moved to the cosmological particle collisons take place above us. Shower earth with it's particle reductionistic familiars, is an important step in how we speak of the nature of the reality that has been conceptual built as a construct.

Validity as to it's measures. While in string there has been no confirmation, it is conceptually pitted minds to develope experimental methods in regards to the ideas of the string theory model. As it should.

Do you know who or what you are? Think about it. There are many illusions in life. The arguably tragic thing is that so many people of the past have lived their entire lives in illusion. They believed in their mental constructs, and took them to be the truth of things. They were confined within their human consciousness, and never looked beyond. They never saw the true potential of consciousness, nor realized the constructive nature of reality. They never realized that their 'truths' were simply mental constructs, including their own sense of self-identity.


Mental Constructs then? Okay?:)

Yet there is enough reason to believe, that if the consensus is, that many will share the perceptable value of the construct, then it becomes a major illusion does it not?

So what do you say of all these people of science who are looking for "what Lies Beneath." Looking to build a understanding in regards to the value of those mental construct?

Is it worthless to have the mind occupy such a intellectual pursuite, and then say, that if you did not find the correlation and cognitive value to such an insight in regards to the begonning of the universe, then what value is this science if it did not bring us to a closer understanding of "What Lies Beneath?"

You remember Robert Laughlin?

So, you may call it "eastern influence" with a philosophical history? Baking bread, or perhaps playing with bubbles, using the explanations as a fundamental reality underneath that reality?

Articulating Oneself?

If the title of thread and objective of the article written are to follow the thread of responsibility, then such journies into the fantastic, have to be thought about in regards to the smell of Jasmine? :) That's part of another story, don't worry about it.

While in the room, devoid of the the branches and trees of the flowering history divine, had one thought about the wind that may drift from a open window, or the residue from having engaged a whole bush??

What constraints shall you be held too, that the thought about what wording held, might enter the hearts of any other person, that you, consider very carefully the sanesness of that scientist who speaks, for the right things in life, and speaks about the fantastic in such ways?

It's okay, your human.

I would say these small fine things, made in such a visual way point to the beauty of life is fantastical and in a warming way much for the soul, regardless.

You announced yourself, and the intentions of such validation warms your soul when others to speak. That's the way of it, and if it does not come, while with it, others whom may be cruel in their remarks, how shall you deal with it?

KNow that it is okay to feel the way you do and know too that if you wonder then about the way of doing things, shall it continue to be this way, while such integrity of the soul shows it's hand regardless of what others may have thought. Constrain it to what another thought, feel comfort, that you may be able to speak freely regardless.

Friday, May 05, 2006

What Comes Next?

What Lies Beneath, by Eugene Samuel

Likewise, if the very fabric of the Universe is in a quantum-critical state, then the "stuff" that underlies reality is totally irrelevant-it could be anything, says Laughlin. Even if the string theorists show that strings can give rise to the matter and natural laws we know, they won't have proved that strings are the answer-merely one of the infinite number of possible answers. It could as well be pool balls or Lego bricks or drunk sergeant majors.


You might as well famiiarize yourself with Robert Laughlin's, "Self Organization of Matter."

I mean if you think of micro-seconds and someone saids to you, it just doesn't make sense( what energy scale the model of strings applied?) then one might have trouble accepting the report on colliders for consideration, and how we view the outcome of the universe from that beginning?

Nice moose picture in there to look at.

Cycle of Birth, Life, and Death-Origin, Indentity, and Destiny by Gabriele Veneziano

Was the big bang really the beginning of time? Or did the universe exist before then? Such a question seemed almost blasphemous only a decade ago. Most cosmologists insisted that it simply made no sense - that to contemplate a time before the big bang was like asking for directions to a place north of the North Pole. But developments in theoretical physics, especially the rise of string theory, have changed their perspective. The pre-bang universe has become the latest frontier of cosmology


Maybe we need a adustment on what we actually thought happenned at the very beginning? Current science writing then needs to reflect what the information is leading us too?

Quark Soup(Scientific American), is limited then, in what we may think about what happens in those gold ion collisions. The relations, as to what happened cosmologically at the very beginning?

What are the characteristics of superfluids that we would find the work of Ketterle involved here?

Berkeley Lab Technology Dramatically Speeds Up Searches of Large DatabasesJon Bashor

In the world of physics, one of the most elusive events is the creation and detection of “quark-gluon plasma,” the theorized atomic outcome of the “Big Bang” which could provide insight into the origins of the universe. By using experiments that involve millions of particle collisions, researchers hope to find unambiguous evidence of quark-gluon plasma.


Shouldn't that writing lead us to ponder in our minds the next step?

A conclusion then about the difficulties upon which thoughts of viscosity with regards to the beginning of that time? The most perfect fluid. A Hydrodynamical calculation then? I am also thinking of the laval nozzle and the back reaction as well.

You have to forgive me here because it is of some interest that I would like to write, but I would like also to write reasonably and responsibly as well. :)

Saturday, February 25, 2006

Nothingness:The Science of Empty Space


Henning Genz

"The experiments at the LEP collider have shown us many times that all virtual particles need in order to become real is energy. Now, we might argue that the energy needed for the passage from virtual particles to real ones could become available by that very passage." (page 234)


See:
  • Nothingness

  • Succession of Thinking

  • Cycle of Birth, Life, and Death-Origin, Indentity, and Destiny by Gabriele Veneziano

  • Big Bang: One Man's Change of Heart
  • Wednesday, February 15, 2006

    Big Bang:One Man's Change of Heart

    Thanks Paul

    One definitely needs some perspective around this and how such information is given. I refer here for consideration, about perspective, and how it can be exploited for further consideration on what is emitted, and what manifests in weak gravitational field measure, as neutrino effects(quantum gravity).

    Microperspective and methods of examination, raise the issue fo cerenkov radiation and what it tells us about such interactive phases?

    Here in refractive consideration, ICECUBE, paints a different picture of what began somewhere else in cosmological high energy collisions. "Neutrinos and strangelets" are part of the developing scenario with which the universe has consequences, if held to the initial conditons of our universe. You had to know where to look for these.

    Plato:
    "Nothing" in stated form was and always is "nothing" which would have not allowed any further discussion. "Zero" in our conversation is a much different kind of thinking. I understood that as well. "Zero" would have been the equivalent to "i" in the Dirac's matrices?



    Physics at this high energy scale describes the universe as it existed during the first moments of the Big Bang. These high energy scales are completely beyond the range which can be created in the particle accelerators we currently have (or will have in the foreseeable future.) Most of the physical theories that we use to understand the universe that we live in also break down at the Planck scale. However, string theory shows unique promise in being able to describe the physics of the Planck scale and the Big Bang.


    I wanted to add this post, and to centralize some references that were found that helped form my perspective on "nothing." What! I guess I'm done?:)

    Seriously, this had to be confronted, and who better then from our layman perspectve, then the admission of a leaders in science, who can change theirs mind after some thinking?

    Cosmological Constant SeeSaw in Quantum CosmologyMichael McGuigan

    Lubos shares his perspective on linked section of titled paper above.

    One interpretation of the coupling of Wheeler-DeWitt functions is that it originates from topology changing effects. Topology change seems to be inevitable in quantum gravity. To treat topology change properly is a very complicated calculation using today’s mathematical tools.


    I wanted to add these links here for consideration, as well what link given by Paul for consideration in regards to Penrose, the figure of the man's change of heart that ighlight's this post. In Phase transitions the comments have been quite enlightening.

    Before the Big Bang BBC News, with Stephen Sackur
    Sir Roger Penrose has developed a new theory on what happened before the Big Bang.

    These pages were created by Jack "Turtle" Wong, Spring 1999

  • First of all, how do we think the universe began?

  • The Big Bang theory.

  • Resolving the inadequacies of the big bang theory.

  • The Hawking-Turok Instanton theory: Stephen Hawking's
    ideas.

  • The Hawking-Turok Instanton theory: Neil Turok's ideas.

  • The Hawking-Turok Instanton theory: the result of merging
    two interesting theories.

  • Is the search over?

  • Bibliography / Further Reading


  • See Also:



  • Cycle of Birth, Life, and Death-Origin, Indentity, and Destiny by Gabriele Veneziano

  • Ekpyroptic and cyclical models
  • Friday, December 16, 2005

    Grue and Bleen

    Brian Greene:
    In the late 1960s a young Italian physicist, named Gabriele Veneziano, was searching for a set of equations that would explain the strong nuclear force, the extremely powerful glue that holds the nucleus of every atom together binding protons to neutrons. As the story goes, he happened on a dusty book on the history of mathematics, and in it he found a 200-year old equation, first written down by a Swiss mathematician, Leonhard Euler. Veneziano was amazed to discover that Euler's equations, long thought to be nothing more than a mathematical curiosity, seemed to describe the strong force.

    He quickly published a paper and was famous ever after for this "accidental" discovery.


    If one did not seek to find a "harmonial balance" where is this, then what potential could have ever been derived from such situations about the possibilties of a negative expression geometriclaly enhanced?

    Because the negative attributes have not added up to much in production of anti matter, have we assigned a conclusion to the world of geometerical propensities to not encourge such things a topological maps?

    The puzzle to the right(above) was invented by Sam Loyd. The object of the puzzle is to re-arrange the tiles so that they are in numerical order.

    The puzzle forms a model of how the positron moves in Dirac's theory. The numbered tiles represent the negative-energy electrons. The hole is the positron. When a negative-energy electron falls into the hole, the hole appears to have moved to another position.


    While it would not have seemed likely, such redrawings of the pictures of Albrecht Dürer, this individual might not have caught my attention. I seen the revision of the painting redone, and what was caught in it. You had to really look, to get this sense.

    Wednesday, May 11, 2005

    Visualization: Changing Perspective

    I give some perspective on "image use and artistic expression." But such journeys are not limited to the "ideas of a book" or "a painting" in some form of geometric code.

    Some will remember Salvador Dali picture I posted. I thought it okay, to see beyond with words, or how one might see a painting and it's contribution to thoughts. Thoughts about a higher dimensional world that is being explained in ways, that we do not generally think about.

    So while it is not mysterious, there is some thought given to the ideas of moving within non-euclidean realms. In the one hand, "discrete forms" have us look at how such a model in terms of quantum gravity is built, and these images and paintings, accordingly?


    Arthur Miller
    Miller has since moved away from conventional history of science, having become interested in visual imagery through reading the German-language papers of Einstein, Heisenberg and Schrödinger - "people who were concerned with visualization and visualizability". Philosophy was an integral part of the German school system in the early 1900s, Miller explains, and German school pupils were thoroughly trained in the philosophy of Immanuel Kant.



    Click on image for a larger view

    On page 65 of Hyperspace by Michio Kaku, he writes, "Picasso's paintings are a splendid example, showing a clear rejection of the perspective, with woman's faces viewed from several angles. Instead of a single point of view, Picasso's paintings show multiple perspectives, as though they were painted by someone from the fourth dimension, able to see all perspectives simultaneous

    Talk of the Nation, August 20, 2004 · How did Leonardo da Vinci use math to influence the way we see the Mona Lisa? And how does our visual system affect our perception of that, and other, works of art? A look at math, biology and the science of viewing art.


    This idea of dimension seemed an appropriate response to what I see in the Monte Carlo effect. I mean here we are trying to dewscibe what dimenison might mean in terms of a gravity issue. Is there any relevance?

    What are Surfaces and Membranes?


    Surfaces are everywhere: the computer screen in front of you has a smooth surface; we walk on the surface of the earth; and people have even walked on the surface of the moon.

    By surface we mean something 2 dimensional (*). Clearly objects like a coffee cup or a pencil are 3 dimensional but their edges - their surfaces - are 2 dimensional. We can put this another way by seeing that the surface has no thickness - it is just the places where the coffee cup ends and the air or coffee begins.

    Surfaces can be flat, like a table top, or curved like the surface of a football, a balloon or a soap bubble. The surface of water can be either flat without ripples, or curved when it has ripples or waves on it.

    We use the word membrane to mean a sheet-like 2 dimensional object, an object with area but very little or no thickness. Good examples are sheets of paper or a piece of plastic food wrap. Just like surfaces, membranes can be flat or curved; rough or smooth.


    Quantum Gravity Simulation

    P. Picasso
    Portrait of Ambrose Vollard (1910)
    M. Duchamp
    Nude Descending a Staircase, No. 2 (1912)
    J. Metzinger
    Le Gouter/Teatime (1911)

    The appearance of figures in cubist art --- which are often viewed from several direction simultaneously --- has been linked to ideas concerning extra dimensions:


    Dimensionality


    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.


    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.


    Piece Depicts the Cycle of Birth, Life, and Death-Origin, Indentity, and Destiny by Gabriele Veneziano

    The Myth of the Beginning of Time

    The new willingness to consider what might have happened before the big bang is the latest swing of an intellectual pendulum that has rocked back and forth for millenia. In one form or another, the issue of the ultimate beginning has engaged philosophers and theologians in nearly every culture. It is entwined with a grand set of concerns, one famously encapsulated in a 1897 painting by Paul Gauguin: D'ou venons? Que sommes-nous? Ou allons-nous? Scientific America, The Time before Time, May 2004




    Sister Wendy's American Masterpieces"
    :


    "This is Gauguin's ultimate masterpiece - if all the Gauguins in the world, except one, were to be evaporated (perish the thought!), this would be the one to preserve. He claimed that he did not think of the long title until the work was finished, but he is known to have been creative with the truth. The picture is so superbly organized into three "scoops" - a circle to right and to left, and a great oval in the center - that I cannot but believe he had his questions in mind from the start. I am often tempted to forget that these are questions, and to think that he is suggesting answers, but there are no answers here; there are three fundamental questions, posed visually.

    "On the right (Where do we come from?), we see the baby, and three young women - those who are closest to that eternal mystery. In the center, Gauguin meditates on what we are. Here are two women, talking about destiny (or so he described them), a man looking puzzled and half-aggressive, and in the middle, a youth plucking the fruit of experience. This has nothing to do, I feel sure, with the Garden of Eden; it is humanity's innocent and natural desire to live and to search for more life. A child eats the fruit, overlooked by the remote presence of an idol - emblem of our need for the spiritual. There are women (one mysteriously curled up into a shell), and there are animals with whom we share the world: a goat, a cat, and kittens. In the final section (Where are we going?), a beautiful young woman broods, and an old woman prepares to die. Her pallor and gray hair tell us so, but the message is underscored by the presence of a strange white bird. I once described it as "a mutated puffin," and I do not think I can do better. It is Gauguin's symbol of the afterlife, of the unknown (just as the dog, on the far right, is his symbol of himself).

    "All this is set in a paradise of tropical beauty: the Tahiti of sunlight, freedom, and color that Gauguin left everything to find. A little river runs through the woods, and behind it is a great slash of brilliant blue sea, with the misty mountains of another island rising beyond Gauguin wanted to make it absolutely clear that this picture was his testament. He seems to have concocted a story that, being ill and unappreciated (that part was true enough), he determined on suicide - the great refusal. He wrote to a friend, describing his journey into the mountains with arsenic. Then he found himself still alive, and returned to paint more masterworks. It is sad that so great an artist felt he needed to manufacture a ploy to get people to appreciate his work. I wish he could see us now, looking with awe at this supreme painting.
    "

    Sunday, February 27, 2005

    Veneziano Amplitude for Winding Strings



    It seems I am caught in strange world where topological functions are happening and if such tubes could contract and then expand then what energy amplitudes on tree models would say the string should have this much energy, and then as the energy grows that the amplittude of the string is also changing? Here the loops would have varying energy determinations that would allow the loop to twist and turn?


    Ramzi R. Khuri March 11 1993

    String configurations with nonzero winding number describe soliton string states. We compute the Veneziano amplitude for the scattering of arbitrary winding states and show that in the large radius limit the strings always scatter trivially and with no change in the individual winding numbers of the strings. In this limit, then, these states scatter as true solitons.


    In demonstration Greg Egan's site for the use of Animations this particular link was strange to me if something was considered in this link.



    When you play with the coordinates you realize the energy changes that can take place in the loop. Equally important was when you observe the faces of the directions when these coordiante are selected. To me something was triggered when it was understood the the euclidean directions actually could been view from these faces, six in all if held in context of the higher dimenisons.



    Unified treatment: analyticity, Regge trajectories, Veneziano amplitude, fundamental regions and Moebius transformations
    Abdur Rahim Choudhary


    In this paper we present a unified treatment that combines the analyticity properties of the scattering amplitudes, the threshold and asymptotic behaviors, the invariance group of Moebius transformations, the automorphic functions defined over this invariance group, the fundamental region in (Poincaré) geometry, and the generators of the invariance group as they relate to the fundamental region. Using these concepts and techniques, we provide a theoretical basis for Veneziano type amplitudes with the ghost elimination condition built in, related the Regge trajectory functions to the generators of the invariance group, constrained the values of the Regge trajectories to take only inverse integer values at the threshold, used the threshold behavior in the forward direction to deduce the Pomeranchuk trajectory as well as other relations. The enabling tool for this unified treatment came from the multi-sheet conformal mapping techniques that map the physical sheet to a fundamental region which in turn defines a Riemann surface on which a global uniformization variable for the scattering amplitude is calculated via an automorphic function, which in turn can be constructed as a quotient of two automorphic forms of the same dimension.


    tracks

    Wednesday, February 16, 2005

    Timeline



    There are reasons for this theme, that I thought most appropriate to the discussion of illusion and miracles.

    In the thread previous to this one, a concept is put forward by Arkani-Hamed that focuses on the issue of the timeline from my perspective, relates to what Peter Woit speaks about here. I will try and explain, but I needed to comprehend better Peter's position.

    Peter Woit:
    Another way of saying it is that in the standard model you have an SU(3)xSU(2)xU(1) principal bundle, and the geometry of the fibers is tightly constrained by the gauge symmetry, which is why the theory works so beautifully.


    But before addressing this a couple of things came to mind today that pointed to the need for this timeline to be addressed in a most appropriate manner that would tax the minds position it had assumed to free it to other possible realms for consideration.

    So I place here two idealizations that I thought of first and by doing this help hopefully to orientate peoples minds around the string issue and it's place in the spectrum of possibilties.

    The Planck Epoch



    In order to further expand this conceptual frame work, I am reminded of the Glast determinations and spectrum analysis we have engaged, which has allowed a deeper look at the timeline of events. The place from that earlier time.

    It was not to difficult to realize that work and place was being supplanted by a theoretical approached, so new ideas could emerge from current established views. Assumptions of theoretcial models would pushed the mind into other venues of considertaion and force upon it, the realities of acceptance.

    The Pre-Big Bang Scenario in String CosmologyM. Gasperini1 and G. Veneziano

    During the past thirty years, mainly thanks to accelerator experiments of higher and higher energy and precision, the standard model of particle physics has established itself as the uncontested winner in the race for a consistent description of electroweak and strong interaction phenomena at distances above 10−15 cm or so. There are, nonetheless, good reasons (in particular the increasing evidence for non-vanishing neutrino masses [388, 568, 569]) to believe that the standard model is not the end of the story. The surprising validity of this model at energies below 100 GeV, as well as the (in)famous Higgs mass fine-tuning problem, suggest some supersymmetric extension of the standard model (for a review see [501]) as the most likely improved description of non-gravitational phenomena over a few more decades in the ladder of scales. It is however quite likely that other questions that are left unanswered by the standard model, such as the peculiarities of fermionic masses and mixings, the family pattern, C, P, CP, B violation, etc., will only find their answers at –or around– the much higher energies at which all gauge interactions appear to unify [21]. This energy scale appears to be embarrassingly close (on a logarithmic scale) to the so-called Planck mass, MP ∼ 1019 GeV, the scale at which gravity becomes strong and needs to be quantized.


    On the one hand then we see where this timeline of physics and it's approach has been and still remians consistent with established views, but we have overlayed this idealization of the spectrum with a new approach to place the established geometries toplogiies that are curently being put forward in the mathematical realms for further extension of these natural laws? So what math shall preceed these views, if we do not change the concepts we had currently established to have the mind consider other prorposals?


    Drawing by Glen Edwards, Utah State University, Logan, UT


    Here I will refer back to Kip Thorne and the plate for consideration about how we see this timeline further illucidated upon( I mean really)and now we place it here in context of a new approach?

    Wednesday, December 22, 2004

    The Gravity For Instance Varies with Time



    There was some reference made in regards to Lubos and the post Santos quoted from, Superstrings, a Theory of Everything? by P.C.W Davies and J. Brown. The idea of the quote about ole men and how things change, seemed to have been caught in perspective by Santos? That becuase I had this book handy, I went and looked to the reference page that he suggested of 193.

    Well, one has to go over the post in question and find the link provided by Peter Woit to understand the context in which this quote is being used. To see that Lubos makes light of his own position, where holding dogmatic to a certain position might be as relevant to where ole men do not accept the new reality easily. It was a innocent enough comment that has certain connatations to it, that moved me through the article santos quotes and brought forth different information for consideration.




    For instance before quoting Feynman myself, lets read what Gabriele Veneziano has to say.

    String theory suggests that the big bang was not the origin of the universe but simply the outcome of a preexisting state


    Now considering the publishing date on this book, "Superstrings, A Theory of Everything," which was 1988, you have to wonder about the progression and way in which we determine dimenisons. I have detailed it in the previous post entitled, "Spheres and their Generalizations in Higher Dimensions." If such a view was to remain consistent then the statement of Richard Feynman to follow, answers today, what he speculated then.

    Now it's possible that those kinds of laws in physics may be incomplete. It might be that the laws change absolutely with time; that grvaity for instance varies with time and that this inverse square law has a strength which depends on how long it is since the beginning of time. In other words, it's possible that in the future we'll have more understanding of everything and physics may be completed by some kind of statement of how things started which are external tothe laws of physics.


    Pg 206 and 207, of Superstrings, A Theory of Everything, by P.C.W.Davies and J. Brown



    So you see, perspective changes because of theoretical positions, concepts form and new insights develope. Because of a personal interest of Feynman's, about his perception of the physics of approach, did you think at first he had a cohesive picture of the toy models he produced? Do you think Andrew Wiles would have ever solved the Fermat Equation?

    Such context of the Poincare Conjecture, answers a question we have about how quantum grvaity portrays itself, by the ole soccer ball( my solid), or by how we see conceptual changes allow us to think about the higher dimensional values in regards to gravity? Of tying geometry and topological understandings together.

    Do you think Feynman toy models haven't been included?

    A Merry Christmas to Everyone, and a Happy New Year.

    Saturday, December 18, 2004

    Dilation and the Cosmic String

    One such field, called the dilaton, is the master key to string theory; it determines the overall strength of all interactions. The dilaton fascinates string theorists because its value can be reinterpreted as the size of an extra dimension of space, giving a grand total of 11 spacetime dimensions

    According to T-duality, universes with small scale factors are equivalent to ones with large scale factors. No such symmetry is present in Einstein's equations; it emerges from the unification that string theory embodies, with the dilaton playing a central role.
    Gabriele Veneziano


    According to Einstein's theory of general relativity, the sun's gravity causes starlight to bend, shifting the apparent position of stars in the sky.

    Time will also pass more slowly in a strong gravitational field than in a weak one? So what effect would this have if we consider the gravitational lensing, that had been talked about in previous post?:)

    On the Effects of External Sensory Input on Time DilationA. 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.




    Where spacetime is flat, there is no gravity, hence light will travel unabated. If we move this consideration in contrast to the non-euclidean realms, what have we learnt of gravity? What have we learnt of dimensions?



    Mass, Photons, Gravity Dr. Lev Okun, ITEP, Russia



    Warped Field Creates Lensing

    The statement of this post, is distilled from the collaboration of some of the images to follow.



    In cosmic string developement there are these three points to consider.

  • 1. Cosmological expansion

  • 2. Intercommuting and Loop Production

  • 3. Radiation




  • I am always looking for this imagery that helps define further what gravitational lensing might have signified in our perception of these distances in space. How the cosmic string might have exemplified itself in some determination, as we find Lubos has done in the calculation of the mass and size of this early event. This image to follow explains all three developemental points.



    Bashing Branes by Gabriele Veneziano
    String theory suggests that the big bang was not the origin of the universe but simply the outcome of a preexisting state

    The pre–big bang and ekpyrotic scenarios share some common features. Both begin with a large, cold, nearly empty universe, and both share the difficult (and unresolved) problem of making the transition between the pre- and the post-bang phase. Mathematically, the main difference between the scenarios is the behavior of the dilaton field. In the pre–big bang, the dilaton begins with a low value--so that the forces of nature are weak--and steadily gains strength. The opposite is true for the ekpyrotic scenario, in which the collision occurs when forces are at their weakest.

    The developers of the ekpyrotic theory initially hoped that the weakness of the forces would allow the bounce to be analyzed more easily, but they were still confronted with a difficult high-curvature situation, so the jury is out on whether the scenario truly avoids a singularity. Also, the ekpyrotic scenario must entail very special conditions to solve the usual cosmological puzzles. For instance, the about-to-collide branes must have been almost exactly parallel to one another, or else the collision could not have given rise to a sufficiently homogeneous bang. The cyclic version may be able to take care of this problem, because successive collisions would allow the branes to straighten themselves.




    The most strongest image that brought this together for me was in understanding what Neil Turok and Paul Steinhardt developed for us. It was watching the animation of the colliding branes that I saw the issue clarify itself. But before this image deeply helped, I saw the issue clearly in another way as well.

    The processes of intercommuting and loop production.

    It was very important from a matter distinction, to understand the clumping mechanism that reveals itself, after this resulting images of the galaxy formation recedes in the colliding brane scenrio viewing. If such clumping is to take place, we needed a way in which to interpret this.




    Branes Reform Big Bang By Atalie Young








    Wednesday, December 15, 2004

    3 Sphere



    What would mathemaics be without artistic expression, trying out it's hand at how such geometrical visions continue to form? Did Escher Gauss and Reimann, see above 3 sphere?

    An expression of Salvador Dali perhaps in some religious context, who then redeems himself, as a man and author of artistic expression?

    A sphere is, roughly speaking, a ball-shaped object. In mathematics, a sphere comprises only the surface of the ball, and is therefore hollow. In non-mathematical usage a sphere is often considered to be solid (which mathematicians call ball).

    More precisely, a sphere is the set of points in 3-dimensional Euclidean space which are at distance r from a fixed point of that space, where r is a positive real number called the radius of the sphere. The fixed point is called the center or centre, and is not part of the sphere itself. The special case of r = 1 is called a unit sphere.




    Spheres can be generalized to higher dimensions. For any natural number n, an n-sphere is the set of points in (n+1)-dimensional Euclidean space which are at distance r from a fixed point of that space, where r is, as before, a positive real number. Here, the choice of number reflects the dimension of the sphere as a manifold.

    a 0-sphere is a pair of points
    a 1-sphere is a circle
    a 2-sphere is an ordinary sphere
    a 3-sphere is a sphere in 4-dimensional Euclidean space

    Spheres for n ¡Ý 3 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. The notation Sn is also often used to denote any set with a given structure (topological space, topological manifold, smooth manifold, etc.) identical (homeomorphic, diffeomorphic, etc.) to the structure of Sn above.

    An n-sphere is an example of a compact n-manifold.


    So in looking for this mathematical expression what does Gabriele Veneziano allude too in our understanding of what could have come before now and after, in the expression of this universe, that it is no longer a puzzle of what mathematics likes express of itself, now a conceptual value that has encapsulated this math.



    Cycle of Birth, Life, and Death-Origin, Indentity, and Destiny by Gabriele Veneziano


    In mathematics, a 3-sphere is a higher-dimensional analogue of a sphere. A regular sphere, or 2-sphere, consists of all points equidistant from a single point in ordinary 3-dimensional Euclidean space, R3. A 3-sphere consists of all points equidistant from a single point in R4. Whereas a 2-sphere is a smooth 2-dimensional surface, a 3-sphere is an object with three dimensions, also known as 3-manifold.

    In an entirely analogous manner one can define higher-dimensional spheres called hyperspheres or n-spheres. Such objects are n-dimensional manifolds.

    Some people refer to a 3-sphere as a glome from the Latin word glomus meaning ball.


    So as if beginning from some other euclidean systemic pathway of expression, how in spherical considerations could topolgical formation consider Genus figures, if it did not identify the smooth continue reference to cosmoogical events? Where would you test this mathematics if it cannot be used and applicable to larger forms of expression, that might also help to identfy microstates?

    The initial process of particle acceleration is presumed to occur in the vicinity of a super-massive black hole at the center of the blazar; however, we know very little about the origin of the jet. Yet it is precisely the region where the most important physics occurs: the formation of a collimated jet of charged particles, the flow of these particle in a narrow cone, and the acceleration of the flow to relativistic velocities.


    So in looking at these spheres and their devlopement, one might have missed the inference to it's origination, it's continued expression, and the nice and neat gravitational collpase that signals the new birth of a process? Can it be so simple?

    Would it be so simple in the colliders looking for those same blackholes?



    Monday, November 29, 2004

    Cycle of Birth, Life, and Death-Origin, Indentity, and Destiny by Gabriele Veneziano

    Was the big bang really the beginning of time? Or did the universe exist before then? Such a question seemed almost blasphemous only a decade ago. Most cosmologists insisted that it simply made no sense - that to contemplate a time before the big bang was like asking for directions to a place north of the North Pole. But developments in theoretical physics, especially the rise of string theory, have changed their perspective. The pre-bang universe has become the latest frontier of cosmology.

    The new willingness to consider what might have happened before the bang is the latest swing of an intellectual pendulum that has rocked back and forth for millennia. In one form or another, the issue of the ultimate beginning has engaged philosophers and theologians in nearly every culture. It is entwined with a grand set of concerns, one famously encapsulated in an 1897 painting by Paul Gauguin: D'ou venons-nous? Que sommes-nous? Ou allons-nous? "Where do we come from? What are we? Where are we going?" The piece depicts the cycle of birth, life and death - origin, identity and destiny for each individual - and these personal concerns connect directly to cosmic ones. We can trace our lineage back through the generations, back through our animal ancestors, to early forms of life and protolife, to the elements synthesized in the primordial universe, to the amorphous energy deposited in space before that. Does our family tree extend forever backward? Or do its roots terminate? Is the cosmos as impermanent as we are
    ?






    One had to know at a deeper level how we might have engaged the cyclical universe? Could bubble nucleation fall in line with the ideas about the origins of this universe and find itself too part of this creative scenario?


    Colliding branes had to have some recognition in the world that we would have considered, bubble nucleation, as manifesting itself over and over again within the confines of our own universe now? Would this have made it likely that such manifestions really go to the source of what could have begun, has always been and wil continue to evolve, in this cycle of birth death and being reborn?


    Neil Turok

    The Myth of the Beginning of Time

    The new willingness to consider what might have happened before the big bang is the latest swing of an intellectual pendulum that has rocked back and forth for millenia. In one form or another, the issue of the ultimate beginning has engaged philosophers and theologians in nearly every culture. It is entwined witha grand set of concerns, one famosly encapsulated in a 1897 painting by Paul Gauguin: D'ou venons? Que sommes-nous? Ou allons-nous? Scientific America, The Time before Time, May 2004



    Sister Wendy's American Masterpieces":

    "This is Gauguin's ultimate masterpiece - if all the Gauguins in the world, except one, were to be evaporated (perish the thought!), this would be the one to preserve. He claimed that he did not think of the long title until the work was finished, but he is known to have been creative with the truth. The picture is so superbly organized into three "scoops" - a circle to right and to left, and a great oval in the center - that I cannot but believe he had his questions in mind from the start. I am often tempted to forget that these are questions, and to think that he is suggesting answers, but there are no answers here; there are three fundamental questions, posed visually.

    "On the right (Where do we come from?), we see the baby, and three young women - those who are closest to that eternal mystery. In the center, Gauguin meditates on what we are. Here are two women, talking about destiny (or so he described them), a man looking puzzled and half-aggressive, and in the middle, a youth plucking the fruit of experience. This has nothing to do, I feel sure, with the Garden of Eden; it is humanity's innocent and natural desire to live and to search for more life. A child eats the fruit, overlooked by the remote presence of an idol - emblem of our need for the spiritual. There are women (one mysteriously curled up into a shell), and there are animals with whom we share the world: a goat, a cat, and kittens. In the final section (Where are we going?), a beautiful young woman broods, and an old woman prepares to die. Her pallor and gray hair tell us so, but the message is underscored by the presence of a strange white bird. I once described it as "a mutated puffin," and I do not think I can do better. It is Gauguin's symbol of the afterlife, of the unknown (just as the dog, on the far right, is his symbol of himself).

    "All this is set in a paradise of tropical beauty: the Tahiti of sunlight, freedom, and color that Gauguin left everything to find. A little river runs through the woods, and behind it is a great slash of brilliant blue sea, with the misty mountains of another island rising beyond Gauguin wanted to make it absolutely clear that this picture was his testament. He seems to have concocted a story that, being ill and unappreciated (that part was true enough), he determined on suicide - the great refusal. He wrote to a friend, describing his journey into the mountains with arsenic. Then he found himself still alive, and returned to paint more masterworks. It is sad that so great an artist felt he needed to manufacture a ploy to get people to appreciate his work. I wish he could see us now, looking with awe at this supreme painting.
    "