Showing posts with label Inverse Square Law. Show all posts
Showing posts with label Inverse Square Law. Show all posts

Sunday, November 20, 2005

Music of the Spheres

Strange Geometriesby Helen Joyce

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

I thought I should add the "ascoustic variation" of the struggle for music in the world of "good and evil" as well.

That such "chaos created" in the minds of our youth, would have been frowned upon in Plato's academy.

By such reasonings and understandings of how such sound valuation may have been taken to spherical proportions? Should be no less then the consolidation points, as poincares distribution of eschers angel and demons pictures describe?

What avenues had been less then discribed on those chaldni plates that they had been reduced to dimensional avenues discriptive of the chaldni plates, as a fifth dimensional understanding? Langrangian discription of points L1 or L2, and a visionary context of Sylvestor surfaces as proponents of B field manifestations as part of genus figures with holes?


  • Angels and Demons
  • Sunday, November 13, 2005

    Dmitri Ivanovich Mendeleev: The Law of Octaves

    Dmitri Mendeleev in 1897

    Courtesy Edgar Fahs Smith Memorial Collection, Department of Special Collections, University of Pennsylvania Library

    Dmitri Ivanovich Mendeleyev (Russian: Дми́трий Ива́нович Менделе́ев listen ▶(?)) (8 February (O.S. 27 January) 1834 in Tobolsk – 2 February (O.S. 20 January) 1907 in Saint Petersburg), was a Russian chemist. He is renowned for being one of the two scientists who created the first version of the periodic table of elements. Unlike other contributors to the table, Mendeleyev managed to predict the properties of elements yet to be discovered. In several cases he even ventured to question the accuracy of the accepted atomic weights, arguing that they did not correspond to those predicted by the Periodic Law, and here too subsequent research proved him correct.

    Now of course I have made some inferences here and who hasn't when it came to sound and it's values? I've explained this here.

    But by exploring the value of the geometric forms, of the square, and the triangle these were simplistic analogies to earth(matter) and the triangle (energy) By simple addition of both these forms, and by looking at the value of Octave=do, re, mi, fa sol la ti do, etc. There had to be a injection point for this octave to ascend?

    Now just take this as a story of the plot and look at what this plot is producing, not where science is, but of the easily converted analogies to the thinking of that sound in our universe can make to the elemental structure Mendeleev first sought out to map.

    So by joining the square and the triangle, we see where "four triangles" are produced inthe form of the pyramid.

    It also asks how can this idea of matter and energy have been sent to another octave, and hence an idealization of the Law of Octaves. So between mi and Fa, such injection would have lead any thinking to have wondered this associative function to what could transpire, if such a completion could have been modelled in the pyramid shape.

    Four primary triangles that reprsent the basis of the transmutation of energy from the four lowers states of matter considerations to the triangles, and the ascension of vibrations readily asseted to be in the most rarified of "matter forms (particle reductionism)" associative with energy at this peak?

    Proceedings of Societies [Report on the Law of Octaves]

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

    Now such a colorful model of the pyramid to me in such oscillations mode seemed to reveall a dynamic form of color and it's variations. Is this what sound values of had left for us in our hydrogen spectrum mapped to see what energy valuation had occurred? The blacklines.

    So it was not long, that such idealization about the value of sound might reveal it's consolidational effect, as we compared low and high sounds of value, to this spectrum. That low sounds were very matter orientated(consolidated), while high sound were very revealing of the vibratory function of energy valuations seen at the peak of that pyramid? The height of enrgy valuations in relation to particle reductionism. So what would this pyramid reveal in the thoughts of all humanity then? Simple deduction form from model participation is all. It gave insight into the outward expression of these matters(body) fluid emotive forces, to mental states of energy valuations?

    I am not saying this is the way of it either, just that such a platform and model developememnt could have sparked other ideas, as Smolin so hopes might be revealled for further explorations into the new theoretical idea developement, to help us look at the way nature is.

    Mendeleev example is a case in point where such ideas and sound valuation seem to penetrate the mind as to the essence and nature of matter. How strange then I might be, to say, that in our very own hearts is the transition point between the lower centers of man(his earth nature), that such ascension of this vibratory thought formsanaogy of the triangle to energy) would be, held in the clear mind?

    But let's not forget some real science here.

    The beam of positively-charged ions generates a slight magnetic field that interacts with an externally-applied magnetic field. The net result is that the trajectory of a charged particle is curved to an extent that depends on its speed (determined by its mass). When the beam of a mixture of isotopes of different masses falls on a photographic plate, the different isotopes converge at different points, corresponding to the different radii of their semicircular paths.

    The mathematical equation that describes this phenomenon is: m/e = H2 r2 /2V, where m is the mass of the ion, e is the charge of the ion, H is the magnetic field strength, r is the radius of the semicircle, and V is the accelerating potential.

    Thursday, November 03, 2005

    Onion Signatures

    Yes indeed, we seen where acoustic physics can be related at a fundamental level and be incorporated with the mathematics that some are very proficient at. That while poor ole me struggles, I look for the most direct route to help me comprehend these complex issues which physicists and theoretcians alike, engage themselves, then why not? Why not say, the "aroma"? Is the smell of the onion hold a certain quality like sound, that as "acoustic hawking radiation," if I direct this analogy and comparsion a bit further, somewhere in there is the Higgs boson, that will give mass all the things our layered onion as a detector seeks to manifest particle wise, as presence.

    Acoustic Hawking Radiation

    With an acoustic horizon (a.k.a. "sonic horizon"), this ordered set of definitions breaks down: events behind an acoustic horizon can modify the effective horizon position and allow information to escape from a horizon-bounded region. This results in acoustic horizons following a different set of rules to gravitational horizons under general relativity:

    So here in lies another idea for Clifford and the drama created by the involuntary presence that can make good sane people cry. These onion people are working in another dimension? Some might call it wizardary, only if they did not understand the science and the geometry behind the curvature parameters. It is a hyperphysics mode to which those who has studied would know that Kaku was very kind in bringing common sense to what our ole Geometers had to say in a long line of historical perpective.

    I will bring perspective to quantum geometry shortly in another blog entry.

    Atlas Experiment

    ATLAS (A Toroidal LHC ApparatuS) is one of the five particle detector experiments (ALICE, ATLAS, CMS, TOTEM, and LHCb) being constructed at the Large Hadron Collider, a new particle accelerator at CERN in Switzerland. It will be 45 meters long, 25 meters in diameter, and will weigh about 7,000 tons. The project involves roughly 2,000 scientists and engineers at 151 institutions in 34 countries. The construction is scheduled to be completed in 2007. The experiment is expected to measure phenomena that involve highly massive particles which were not measurable using earlier lower-energy accelerators and might shed light on new theories of particle physics beyond the Standard Model.

    Well most will not comprehend what I am saying, and nor did I, until I came across and looked for a better understanding of what signatures mean to a physicist. Who is working on the Cern project, and the detectors methods for consideration. What the term onion word might spark, as I look back and seen that a previous comment had been planted for another day like today.

    How vast indeed this project, that out of it such collision processes can be accounted for in the way a onion can be peeled, layer upon layer, just like our Atlas Detector is. In the way it had been design for those particle detection methods. There are enough links here to satisfy the inquring mind, as to what these layers are, and what they are designated for in that detection process.

    Frontiers and Mega Magnets

    Like all the detectors used in today’s collider experiments, the ATLAS apparatus is huge – in order to catch the myriad of particles produced when protons smash into each other. It consists of a series of detecting devices in an onion-ring arrangement around the central tube in which the proton beams collide. Each detector does a different job, measuring the positions and energies of the different particles produced – electrons, photons, muons etc. The momenta of the charged particles are measured from the curvature of their trajectories in a magnetic field provided by superconducting magnets. The volume and strength of magnetic field needed are not achievable with conventional magnets.

    Now I highlighted the statement in bold because it means something to me more then just the way we would look at, but what these curvatures can mean in comparative modes of geometrical expressions.

    Now as a lay person, the curvature parameters that were developed from the understanding of the Friedman equations, help me to see the issue of hyperbolic/ spherical as real cosmological issues, but way down at the quantum level, what is this showing us?

    The Friedmann equation which models the expanding universe has a parameter k called the curvature parameter which is indicative of the rate of expansion and whether or not that expansion rate is increasing or decreasing. If k=0 then the density is equal to a critical value at which the universe will expand forever at a decreasing rate. This is often referred to as the Einstein-de Sitter universe in recognition of their work in modeling it. This k=0 condition can be used to express the critical density in terms of the present value of the Hubble parameter.

    For k>0 the density is high enough that the gravitational attraction will eventually stop the expansion and it will collapse backward to a "big crunch". This kind of universe is described as being a closed universe, or a gravitationally bound universe. For k<0 the universe expands forever, there not being sufficient density for gravitational attraction to stop the expansion.

    So the very idea of the expansion and contraction, holds on to my mind, and this dynamical process is very revealling in our point of view. I can't but help feel this GR sense in momentum, as objects and articles are held to the mass impression of the spacetime fabric.

    The Magnet System

    The ATLAS detector uses two large magnet systems to bend charged particles so that their momenta can be measured. This bending is due to the Lorentz force, which is proportional to velocity. Since all particles produced in the LHC's proton collisions will be traveling at very close to the speed of light, the force on particles of different momenta is equal. (In the theory of relativity, momentum is not proportional to velocity at such speeds.) Thus high-momentum particles will curve very little, while low-momentum particles will curve significantly; the amount of curvature can be quantified and the particle momentum can be determined from this value.

    So by quoting here and representing curvature parameters on a cosmological scale, it was not to hard to figure how signatures would be revealled.

    Sunday, October 30, 2005

    Inverse Square Law, Sound

    Acoustic Physics

    Of course you must remember, that I was influence by the Triangle man, and the idea of sound valuation in the determinatins of how we see differently. While complex math is the desired result of all the efforts of physics explanatory developement, there are ways in analogistc senses, that we may compare the values of the auditorium and how sound is reproduced for us visionaries of a slightly more complex reality we all like to further develope beyond that standard model.

    In more technical language, sound "is an alternation in pressure, particle displacement, or particle velocity propagated in an elastic material" (Olson 1957) or series of mechanical compressions and rarefactions or longitudinal waves that successively propagate through media that are at least a little compressible (solid, liquid or gas but not vacuum). In sound waves parts of matter (molecules or groups of molecules) move in a direction of the spreading of the disturbance (as opposite to transversal waves). The cause of sound waves is called the source of waves, e.g. a violin string vibrating upon being bowed or plucked.

    So while indeed I am sort of in dismay as to what the reality is in presenting Quantum geometry to the realms of quantum gravity, the mathematical valuation is very real and sealed for those math types, that the issue of "points" become blurred as in any quantum mechanical position of uncertainty, that when we see sound valution take on different energy determinations radiate outward from sources un impeded how smooth does it actually look?

    The sound intensity from a point source of sound will obey the inverse square law if there are no reflections or reverberation. A plot of this intensity drop shows that it drops off rapidly.

    Amazing Sounds

    There are rules we follow and some rules that are defined just as they might be in terms of the inverse square law, we see comparative views must hold, to well defined equations. So can we play the game now.

    Examples of Reverberation Times

    One way to respond to the question "What is a good range of reverberation times for concert halls?" is to give examples of some of the most famous halls in the world. For the overall average reverberation times:

  • Vienna, Musikvereinsaal : 2.05 seconds

  • Boston, Symphony Hall: 1.8 seconds

  • New York, Carnegie Hall: 1.7 seconds

  • But the overall average reverberation time does not tell the whole story. The variation of reverberation time with frequency is also important

    What is a Phonon/Photon?

    Phonon: A particle of sound. The energy E of a phonon is given by the Einstein relation, E = hf. Here f is the frequency of the sound and h is Planck's constant. The momentum p of a photon is given by the de Broglie relation, p = h/λ. Here λ is the wavelength of the sound.

    Photon: A particle of light. The energy E of a photon is given by the Einstein relation, E = hf. Here f is the frequency of the light and h is Planck's constant. The momentum p of a photon is given by the de Broglie relation, p = h/λ. Here λ is the wavelength of the light.

    But with some help here lmitation have been drawn to compaative valuations where such background non background detrminations have foundthemselves combing in views that sucha raod to a quantum grviaty ppursuate in string has less then what is desirable to what most see as necessary.

    Planck Length

    John Baez:
    The most conservative approach to quantum gravity is to seek a theory that combines the best features of general relativity and quantum field theory. To do this, we must try to find a background-free quantum theory with local degrees of freedom propagating causally. While this approach may not succeed, it is definitely worth pursuing. Given the lack of experimental evidence that would point us towards fundamentally new principles, we should do our best to understand the full implications of the principles we already have!

    This has a quick and sobering effect when our views are drawn to such theoretical formats. We have to seen how "discrete points" and "wave functions in smooth topological valuations could have embolden the view of the dynamics in the concert hall, as effects beyond the normal scope of vision. Lives held, and cherished sounds around the feasibility that our choices had effective circumstances in the envirmoment of time valuation.

    While some would set the order of books derived from synoptic events as illusions, more then journalistic festitudes that we all like to engage in, then why can we not a Michio Kaku, or Brian Greene in words become?

    Shall we not assign such views to the roads travelled, in the words supported by "Three Roads to Quantum Gravity?" A Lee Smolin song about the story and views of the three approaches?

    Let's say you are a Peter Woit and success finds you in your new book. Shall we assign you to a separation of groups. To which lives held in distinct sufferings and restrictions to a "alloted time" with which you may have become part fo the "fabric of the populace?" Your duration or shortness of breath?

    It has no end that some will make their empression, and some will become a deeper marker of the wonders about what has traversed through our our reasoning that the desired results by consensus are recognzied even in this division.

    Friday, October 14, 2005

    Art and Science

    This is going to be quite the blog entry because as little a response might have been from Clifford's links to artistic imagery and it's relation to science. I definitely have more to say.

    So being short of time, the entries within this blog posting will seem disjointed, but believe me it will show a historical significance that one would not have considered had one not seen the relevance of art and it's implications along side of science.

    Did Picasso Know About Einstein

    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.

    Piece Depicts the Cycle of Birth, Life, and Death-Origin, Identity, 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 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.

    Art Mirrors Physics Mirrors Art, by Stephen G. Brush

    Arthur Miller addresses an important question: What was the connection, if any, between the simultaneous appearance of modern physics and modern art at the beginning of the 20th century? He has chosen to answer it by investigating in parallel biographies the pioneering works of the leaders of the two fields, Albert Einstein and Pablo Picasso. His brilliant book, Einstein, Picasso, offers the best explanation I have seen for the apparently independent discoveries of cubism and relativity as parts of a larger cultural transformation. He sees both as being focused on the nature of space and on the relation between perception and reality.

    The suggestion that some connection exists between cubism and relativity, both of which appeared around 1905, is not new. But it has been made mostly by art critics who saw it as a simple causal connection: Einstein's theory influenced Picasso's painting. This idea failed for lack of plausible evidence. Miller sees the connection as being less direct: both Einstein and Picasso were influenced by the same European culture, in which speculations about four-dimensional geometry and practical problems of synchronizing clocks were widely discussed.

    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.

    The Search for Extra Dimensions
    OR Does Dzero Have Branes?

    by Greg Landsberg
    Theorists tell us that these extra spatial dimensions, if they exist, are curled up, or "compactified."In the example with the ant, we could imagine rolling the sheet of paper to form a cylinder. If the ant crawled in the direction of curvature, it would eventually come back to the point where it started--an example of a compactified dimension. If the ant crawled in a direction parallel to the length of the cylinder, it would never come back to the same point (assuming a cylinder so long so that the ant never reaches the edge)--an example of a "flat"dimension. According to superstring theory, we live in a universe where our three familiar dimensions of space are "flat,"but there are additional dimensions, curled up so tightly so they have an extremely small radius

    Issues with Dimensionality

    "Why must art be clinically “realistic?” This Cubist “revolt against perspective” seized the fourth dimension because it touched the third dimension from all possible perspectives. Simply put, Cubist art embraced the fourth dimension. Picasso's paintings are a splendid example, showing a clear rejection of three dimensional perspective, with women's faces viewed simultaneously from several angles. Instead of a single point-of-view, Picasso's paintings show multiple perspectives, as if they were painted by a being from the fourth dimension, able to see all perspectives simultaneously. As art historian Linda Henderson has written, “the fourth dimension and non-Euclidean geometry emerge as among the most important themes unifying much of modern art and theory."

    And who could not forget Salvador Dali?

    In geometry, the tesseract, or hypercube, is a regular convex polychoron with eight cubical cells. It can be thought of as a 4-dimensional analogue of the cube. Roughly speaking, the tesseract is to the cube as the cube is to the square.

    Generalizations of the cube to dimensions greater than three are called hypercubes or measure polytopes. This article focuses on the 4D hypercube, the tesseract.

    So it is interesting nonetheless isn't it that we would find pictures and artists who engaged themselves with seeing in ways that the art seems capable of, while less inclinations on the minds to grasp other opportunities had they had this vision of the artist? They of course, added their flavor as Salvador Dali did in the painting below this paragraph. It recognize the greater value of assigning dimensionality to thinking that leads us even further had we not gone through a revision of a kind to understand the graviton bulk perspective could have so much to do with the figures and realization of what dimensionality means.

    So while such lengths had been lead to in what curvature parameters might do to our views of the cosmos, it wasn't to hard to envision the realistic valuation of graviton as group gatherings whose curvature indications change greatly on what we saw of the energy determinations.

    Beyond forms

    Probability of all events(fifth dimension) vvvvvvvvvvvvv Future-Time vvvvvvvvvvv | vvvvvvvvv | vvvvvvv | vvvvv | vvv | v | <<<<<<<<<<<<>>>>>>>>>>>now -------| flash fourth dimension with time | A | AAA | AAAAA | AAAAAAA | AAAAAAAAA | AAAAAAAAAAA | AAAA ___AAAAA | AAAAA/__/|AAAAA____Three dimension AAAAAA|__|/AAAAAA | AAAAAAAAAAAAAAAAAAA | | ___ | /__/ brane--------two dimension \ / .(U)1=5th dimension

    I hope this helps explain. It certainly got me thinking, drawing it:)

    Similarly a hypercube’s shadow cast in the third dimension becomes a cube within a cube and, if rotated in four dimensions, executes motions that would appear impossible to our three-dimensional brains.

    So hyperdimenionsal geometry must have found itself describable, having understood that Euclid's postulate leads to the understanding of the fifth. A->B and the field becomes a interesting idea, not only from a number of directions(Inverse Square Law), dimensional understanding of a string, that leads from the fifth dimensional perspective is a point, with a energy value that describes for us the nature of curvature, when extended to a string length(also becomes the point looking at the end, a sphere from a point, and at the same time a cylinder in its length).

    In looking at Einsteins fourth dimension of time, the idea of gravity makes its appearance in respect of dimension.

    So how is it minds like ours could perceive a fifth dimensional perspective but to have been lead to it. It is not always about points( a discrete perspective)but of the distance in between those points. We have talked about Gauss here before and Riemann.

    Who in Their Right Mind?

    Penrose's Influence on Escher
    During the later half of the 1950’s, Maurits Cornelius Escher received a letter from Lionel and Roger Penrose. This letter consisted of a report by the father and son team that focused on impossible figures. By this time, Escher had begun exploring impossible worlds. He had recently produced the lithograph Belvedere based on the “rib-cube,” an impossible cuboid named by Escher (Teuber 161). However, the letter by the Penroses, which would later appear in the British Journal of Psychology, enlightened Escher to two new impossible objects; the Penrose triangle and the Penrose stairs. With these figures, Escher went on to create further impossible worlds that break the laws of three-dimensional space, mystify one’s mind, and give a window to the artist heart.

    Penrose and Quanglement

    Order and Chaos, by Escher (lithograph, 1950)

    Saturday, September 24, 2005

    The Total Field

    For me this title above strikes a cord somehow in the struggle and regard, leading in our comprehensions to the extension of the standard model. By bringing gravity into the picture and descibing the graviton teaming in the bulk of expression.

    The general theory of relativity is as yet incomplete insofar as it has been able to apply the general principle of relativity satisfactorily only to grvaitational fields, but not to the total field. We do not yet know with certainty by what mathematical mechanism the total field in space is to be described and what the general invariant laws are to which this total field is subject. One thing, however, seems certain: namely, that the general principal of relativity will prove a necessary and effective tool for the solution of the problem for the toal field.
    Out of My Later Years, Pg 48, Albert Einstein

    Well now the reason why this paragraph strikes such a chord with me, has everything to do with the information that I have progressed through, in order to reach this vision Lisa Randall does not think one asa layman is capable of? Now I should be fair here, and I am not judging personalities, but the essence of the statements about "observation" and "vision".

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

    Now in my quest for comprehension, such building has gone on in my conceptual foundations, are ones that we are carefully lead through in theoretical developement. Ah so we see where such extensions have gone beyond th elayan's view then? To have such things of expression, in the computer world, as numerical relativity, is a nice way in which to round out the data and experience. But as she points out, we are talking about Physicists.

    Lisa Randall:
    Remarkably, we can potentially "see" or "observe" evidence of extra dimensions.

    Those Russion Dolls

    Well now. I have this strange picture in my head about "time variable images" we seen of the earth in measure, and such a statement above, by Einstein. It is information on the "total field" that struck immediately in my mind about all those things that lead one through to the comprehension of general relativity. It is indeed, about "gravity" and it indeed seen in the larger aspects of the cosmological scale. But then, how would such a thing take us down to scale in our look at quantum mechanical views. Other components of earth that efect time avraiableness and we are indeed driving this image of scale down to the component parts of our earth?

    So I have this picture of earth here. I know its not so pretty, but it describes in greater context the world as you have not seen it before. This advancement in observation, is much more inherent in our culture now, that the grade with which we assign physicists and the lay persons, are really never that far apart. What was accomplished, was that leading infomration and theorectical developement paved the way for an "illustrous view" as to those I impart now. They were already there but never seen in context of each other and as a total field.

    So now as I think about Lisa's words, I recognize more deeply the sigificance of how far our vision has been taken, not just in terms of the physicists view, but of how far we had been taken in layman terms as well. What then else retains this view about the total field that I had not show and in it writing, other images come to mind as follows.

    So developing this sense in terms of relativity and views of Einstein in regards to the total filed had consequences in my mind about how we view things in new ways.

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

    Now it has to be understood, that the total field is one which has inclusiveness such as these boxes indicate, that such views of our blue marble earth, do not consider as we lay "one" over the top of another. Such extensions to our views of earth, lead me to understand the complexity of these views in ways that we had not considered before, and with such a synoptical view, what indeed shall this total field say about earth? So that's where I am at. Much like, Glast, in it's own synoptical view about the range of our vision.

    So we have this frame of reference now to consider. Our apprehensions about earth(some who share the climatic valuation) that we can now say, that Inverse square law contains information in relation to "these boxes". That if taken to "new heights" our climatic valuations about this new view of earth, how shall we judge now, that such Kaluza Klein modes held in relation to the expanding nature of this point(circle) can have energy valuations assigned right from the supersymmetrical vision ofa beginning, to have phases (symmetry breaking)with which our views have been generated, in what we see of earth now?

    While indeed then, "light had been joined to gravity" how shall we wrap again the views of this earth, in what is now a teaming in this new place, where differences exist in our views. Strengths and weaknesses, are measures in this new abstracted view?

    So we have this total view in mind, about the "total field" and I have taken us to a a abstracted space within the idealization of what exists here now as earth arose from some beginning point. To what the earth encapsulates.

    How we view then such comsological events has a greater story as we look deep into space, and see the valution of those same cosmological events streaming past all things in existance, that such a gravitational view has arrows pointing in a certain direction. To ideas about comsological expansion and such. This has gone to far I think about our place in this new abstracted view of the universe:)

    Friday, August 12, 2005

    What! Superficiality has extra dimensions to it?

    Sometimes I like to play, "knock knock whose there" on my head. :)

    Quantitative studies of future experiments to be carried out by LHC show that any signatures of missing energy can be used to probe the nature of gravity at small distances. The predicted effects could be accessible to the Tevatron Collider at Fermilab, but the higher energy LHC has the better chance.

    These colliders are still under construction, but results also have consequences for "table-top" experiments, being carried out here at Stanford, as well as the University of Washington and the University of Colorado. Here’s the basic idea: imagine there are two extra dimensions on a scale of a millimeter. Next, take two massive particles separated by a meter, at which distance they obviously behave according to the well-known rules of 3-D space. But if you bring them very close, say closer than one millimeter, they become sensitive to the amount of extra space around. At close encounter the particles can exchange gravitons via the two extra dimensions, which changes the force law at very short distances. Instead of the Newtonian inverse square law you’ll have an inverse fourth power law. This signature is being looked for in the ongoing experiments.

    Eöt-Wash Group

    However, until evidence for new physics is found, it is clearly better to work on tests of the inverse-square law than on equivalence-principle tests: the 1/r2 tests are more general (probing all finite-range effects), and more sensitive (in particle-exchange scenarios the composition-dependence is expected to be a relatively small fractional effect). But testing the gravitational 1/r2 law for length scales less than 50 µm will probably require a somewhat different technology. In a planar geometry (optimum because one gets the maximum amount of mass in close proximity) the signal of a short-range Yukawa interaction drops as roughly the 4th power of the Yukawa range while extraneous disturbances stay roughly the same size. This will present an interesting challenge for future experimental work.

    Imagine, if such assertions to extra-dimension were just superficial statements drawn from historical literature that people drummed up to create mysticism? Oh how safe I would feel drawing from such statements, that wonder of all wonders, there was a scientific basis assigned this perspective of Georgi's.

    Georgi Dvali

    Dvali posits that this leakage has a profound effect on the gravitational force between objects separated by more than the critical distance. Specifically, the theory of modified gravity has a characteristic length-scale r_c, or approximately 15 billion light years. This marks a crossover distance beyond which the cosmological expansion becomes accelerated, and thus, from cosmological observations r_c is fixed to be the size of the observable universe. Even though r_c scale is enormous, the imprints of modification are detectable at much shorter distances because of the additional gravitational force.

    "This is the crucial difference between the dark energy and modified gravity hypothesis, since, by the former, no observable deviation is predicted at short distances," Dvali says. "Virtual gravitons exploit every possible route between the objects, and the leakage opens up a huge number of multidimensional detours, which bring about a change in the law of gravity."

    Dvali adds that the impact of modified gravity is able to be tested by experiments other than the large distance cosmological observations. One example is the Lunar Laser Ranging experiment that monitors the lunar orbit with an extraordinary precision by shooting the lasers to the moon and detecting the reflected beam. The beam is reflected by retro-reflecting mirrors originally placed on the lunar surface by the astronauts of the Apollo 11 mission.

    I think Eddington expeirment and methods used in LIGO speak directly to the range of sublte thinking that was necesary from a broad landscape of bulk gravitonic perception, that could be the effect of such things as lensing, dilation and gravtonic scattering effects?

    So we understand here do we, that procedures to conceptual fabrication has some basic formulation to those short distances? Eöt-Wash Group was also asking something about these short distances were they not? The history her eis a short one from 2001 but it bascialy answer soem questions about what those extra dimensions mean.

    So don't take my word for it or someone who just scoffs at the very notion. Apply yourself to see what is meant. Maybe you will tend to wonder what crazy ideas Brian Josephson had about the nature of civilzations living amidst our own?

    Rumour of New Forces
    Just had a look at Cosmic Variance and found this statement by Sean Carroll about the Eotwash group update. Here is what Eric Adelberger had to say.

    Eric Adelberger on Aug 12th, 2005 at 2:37 pm
    Please don’t get too excited yet about rumors concerning the Eot-Wash test of the 1/r^2 law. We can exclude gravitational strength (|alpha|=1) Yukawa violations of the 1/r^2 law for lambda>80 microns at 95% confidence. It is true that we are seeing an anomaly at shorter length scales but we have to show first that the anomaly is not some experimental artifact. Then, if it holds up, we have to check if the anomaly is due to new fundamental physics or to some subtle electromagnetic effect that penetrates our conducting shield. We are now checking for experimental artifacts by making a small change to our apparatus that causes a big change in the Newtonian signal but should have essentially no effect on a short-range anomaly. Then we will replace our molybdenum detector ring with an aluminum one. This will reduce any signal from interactions coupled to mass, but will have little effect on subtle electromagnetic backgrounds. These experiments are tricky and measure very small forces. It takes time to get them right. We will not be able to say anything definite about the anomaly for several months at least.

    As stated maybe this anomalie might be significant and for scientists it is necessary such a quirk of nature be seen and understood. I relayed Einstein's early youth and the compass for a more introspective feature that such anomalies present.

    The Eotwash Group is a sign of relief, for the speculative signs attributed from other scientists, made this topic of extr-dimensions unbearable and unfit for the general outlaid of scientists who did not understand this themselves.

    Deviations from Newton's law seen?

    So what does Lubos have to say about this in his column?

    Lubos Motl:
    The most careful and respected experimental group in its field which resides at University of Washington - Eric Adelberger et al. - seems to have detected deviations from Newton's gravitational law at distances slightly below 100 microns at the "4 sigma" confidence level. Because they are so careful and the implied assertion would be revolutionary (or, alternatively, looking spectacularly dumb), they intend to increase the effect to "8 sigma" or so and construct different and complementary experiments to test the same effect which could take a year or two (or more...) before the paper is published. You know, there are many things such as the van der Waals forces and other, possibly unexpected, condensed-matter related effects that become important at the multi-micron scales and should be separated from the rest.


  • Inverse Fourth Power Law
  • Thursday, April 14, 2005

    G -> H -> ... -> SU(3) x SU(2) x U(1) -> SU(3) x U(1).

    Here, each arrow represents a symmetry breaking phase transition where matter changes form and the groups - G, H, SU(3), etc. - represent the different types of matter, specifically the symmetries that the matter exhibits and they are associated with the different fundamental forces of nature

    "Nothing to me would be more poetic; no outcome would be more graceful ... than for us to confirm our theories of the ultramicroscopic makeup of spacetime and matter by turning our giant telescopes skyward and gazing at the stars,"
    Greene said.

    Peter Woit:
    Brian Greene was in the audience and somewhat objected to this. Brian's point of view appears to be the more traditional one that people should just try and cook up vacua with as many features as possible close to the Standard Model, and that once they've got such a thing it will have other implications for physics that can be checked. It seems to me that that kind of work has been going on for more than twenty years with no sign of success, but Brian still believes this will ultimately work out.

    To me the idea of bubble dynamics is quite revealling when you place the context and question of the dynamics as underlying feelings(this is quite subjective). Much like GR, and these momentus occasions, that can move within our natures, as our comprehension grows. Time experienced in different ways, does this for us?:)It can still be a highly visula thing?:)

    To not be mistaken, the questions materializes in the reasons why such dynamics may have been offerred in the same vain as GR, to see that this features becomes a signature of conscious effort, where what is being replaced, reveals some dynamics of the true vacuum?:)

    So of course there are questions that need to be resolved. Some might not like to answer them and censor the blog of their own, so that blanket policies regardless of the question, is like who gives a **** about what you think in context of the larger picture of things. Of course they have their own agenda and have the right. It's their blog. I am quite greatful by such resistance presented, has forced me to expand here, where the truth of what I am seeing can be demonstrated.

    But I have digressed some from the important question that is raised not only in Serkan's mind but mine as well. So resource info helps in perspective here.

    Is QFT vacuum real?

    Serkan Cabi:Almost everybody cite the Casimir effect as the proof of reality of quantum ground state of standard model fields. Lately it has become a commonsense especially in the dark energy literature, as an aspect deepening the problem.

    So to me looking for an explanation of ths dynamics is a hard one to qualify as it suggested by some, that one wonders about the way early supersymmetrical idealizations have brought consideration to what emerges from these hottimes?

    But there are other ways here, that having gotten a grasp of this elasticity of a membrane, that one can see how certain features are held too and others, are presented for further developement in the nature of those same psyches? Imagine introducing this memebrance and the elasticity. What has the mind grasped now?

    Below Serkan helps to point out more info for consideration.

    The Casimir Effect and the Quantum Vacuum
    I have presented an argument that the experimental confirmation of the Casimir effect does not establish the reality of zero point fluctuations. Casimir forces can be calculated without reference to the vacuum and, like any other dynamical effect in QED, vanish as a→0. The vacuum-to-vacuum graphs (See Fig. 1) that define the zero point energy do not enter the calculation of the Casimir force, which instead only involves graphs with external lines. So the concept of zero point fluctuations is a heuristic and calculational aid in the description of the Casimir effect, but not a necessity.

    This does not do away with the idea of what can happen within the confines of a vacuum, but ultimately, we realize that the speed of light remains the same, yet other dynamics when playing with physical things, can display wonderful intentions about about this elasticity nature?

    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.

    So it is a highly specialize vision that I had been moving towards that I wanted to make sure any bubble technolgies would encase all that we learnt. That we define the further reaches of what this bubble( K=0 before the crunch begins) might have encompassed? Revealled that outer value(K=0) of Friedman's equation and Omega in terms of what critical density would have expounded? In terms of the distance this bubble could grow, in this inflationary universe?

    Outside this bubble universe, is a dimensionally filled universe that had grown as this bubble grew?

    Such movement in propelling our universe to expression, seems quite a challenge, so having encompassed this larger view of reality, inverse square law would have exemplified the schwarzchild radius, determining the total expansive view of this cosmos?

    You had to be able to confine this view and encapsulate it so that the total view developed through the phases of standard model production would have evetually helped us realize the wide scope this particle reductionism and cosmological endeavors had revealled with distances(large and small) joining?:)

    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
    \ /
    \ /
    \ /
    _\ /___
    / \ / /
    / \ / /
    / \/ / --------
    / / Supergravity
    ------------- Symmetrical

    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

    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.

    Saturday, February 19, 2005

    Shakespearean Quandry?

    e- or not to e+ :)

    Light-matter interaction
    Low energy phenomena  Photoelectric effect
    Mid-energy phenomena Compton scattering
    High energy phenomena Pair production

    Part of the realization is that if we encounter this dynamical universe with ways to intuitive glance at the interplay of this black and white, I was drawn to the idealization of the matrices, and their involvement?

    Pair Production

    Every known particle has an antiparticle; if they encounter one another, they will annihilate with the production of two gamma-rays. The quantum energies of the gamma rays is equal to the sum of the mass energies of the two particles (including their kinetic energies). It is also possible for a photon to give up its quantum energy to the formation of a particle-antiparticle pair in its interaction with matter.

    This is very touchy area for me, but I endeavor to what Glast determinations are revealling, as we move to consider the relevance of this interactive feature of the dark matter energy, in regards to the cosmological movement revealled by the Friedmann equation.

    We needed this question of Shakespeare, to move our minds to the question of the ever constant becoming, to know that it would manifest in this cyclical nature of rejuvenation. Where blackhole and gravitonic condensation, can become viable features of phase state changes, taking us back the beginning of this universe, now?

    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 lets cosider something else here where such dynamcial realization would point to microstate blackholes. This will follow later for consideration.

    Saturday, January 15, 2005

    Seeing Beyond the Mass and Density?

    Fig.1: Generally Grouping Order increases the density of objects within a frame of reference, resulting in a more pronounced single object.

    To see beyond what we have taken for granted it is important that you understand how we got to the way we are. Above the diagram helps you too orientate these views in accordance with established sciences.

    A lot of thought have been going through my mind about what is currently being manifested all around us in terms of all the wavelengths that we are inundating to our environment. Television, cell phones, electric grid lines and all the sorts and I am wondering if, we have basically interrupted, the process in nature that is natural, and supplemented it with human kinds fabrications?

    Lets just focus on matter distinctions then for now and how such inundations above might have found some comparative views in what nature decided to do for us. In how it density variations would have aligned themselves over the planet during it's formation?

    The distribution of mass over the Earth is non-uniform. GRACE will determine this uneven mass distribution by measuring changes in Earth’s gravity field.The term mass refers to the amount of a substance in a given space, and is directly correlated to the density of that substance. For example, a container filled with a more dense material, like granite, has more mass than that same container filled with water. Because mass and density are directly related, there is also a direct relationship between density and gravity. An increase in density results in an increase in mass, and an increase in mass results in an increase in the gravitational force exerted by an object. Density fluctuations on the surface of the Earth and in the underlying mantle are thus reflected invariations in the gravity field.As the twin GRACE satellites orbit the Earth together, these gravity field variations cause infinitesimal changes in the distance between the two. These changes will be measured with unprecedented accuracy by the instruments aboard GRACE leading to a more precise rendering of the gravitational field than has ever been possible to date.

    In looking up the word "in variation" you won't have much luck, but in context of the sentence, it forces you to look back towards the center, from the surface. I think this is right?

    Quite early in the developing aspects of my research, I was drawn to statement of the above in regards to mass/density, which could have represented to me the vibration inherent, as sound, in how we would determine this mass? Was it unreasonable to look at what nature had bestowed upon us and wonder, that if such sounding processes within the mantle would have allowed us to determine where the structural integrity of the planet would have sufficed in taking accountability of proper building perspectives.

    Clementine color ratio composite image of Aristarchus Crater on the Moon. This 42 km diameter crater is located on the corner of the Aristarchus plateau, at 24 N, 47 W. Ejecta from the plateau is visible as the blue material at the upper left (northwest), while material excavated from the Oceanus Procellarum area is the reddish color to the lower right (southeast). The colors in this image can be used to ascertain compositional properties of the materials making up the deep strata of these two regions. (Clementine, USGS slide 11)

    Preparing the mind for information about gravitational fields were extremely important to me because if gravity discernment in terms of the planets density fluctuations were evident from mass/ density consideration, then how would we be certain that such information emitted from events, which shake the space time fabric would not have sounded for us a response distinctive about it's particle identification. Was there some layering aspect designed within gravitational consideration that would have said the density of the material would have been found, a center first must be of iron?

    As one of the fields which obey the general inverse square law, the gravity field can be put in the form shown above, showing that the acceleration of gravity, g, is an expression of the intensity of the gravity field.

    So in the ideal centricity of elements such gravitational consideration would have aligned the material in a appropriate expression from the densest of matter distinctions to the very light, would have made it seem, that such resonances based in sound would say, that because it is dense here at the iron core, the sound value would be very distinctive from the vibrational freedom at the surface?

    Density measure(comparative to other things) of sound, would be nice. Which leads me to the ideals of Webber and his aluminum bars.

    Radar echos from Titan's surface

    This recording was produced by converting into audible sounds some of the radar echoes received by Huygens during the last few kilometres of its descent onto Titan. As the probe approaches the ground, both the pitch and intensity increase. Scientists will use intensity of the echoes to speculate about the nature of the surface.

    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.

    Friday, December 03, 2004

    Inverse Fourth Power Law

    By moving our perceptions to fifth dimenisonal views of Kaluza and KLein, I looked at methods that would help me explain that strange mathematical world that I had been lead too geometrically. If such a bulk existed, then how would we percieve scalable features of the energy distributed within the cosmo?

    The angular movements needed to signal the presence of additional dimensions are incredibly small — just a millionth of a degree. In February, Adelberger and Heckel reported that they could find no evidence for extra dimensions over length scales down to 0.2 millimetres (ref. 11). But the quest goes on. The researchers are now designing an improved instrument to probe the existence of extra dimensions below 0.1 mm. Other physicists, such as John Price of the University of Colorado and Aharon Kapitulnik of Stanford University in California, are attempting to measure the gravitational influence on small test masses of tiny oscillating levers.

    In previous posts I have outline the emergence and understanding of hyperdimensional realities that we were lead too. Our early forbearers(scientifically and artistic embued with vision) as they moved through the geometrical tendencies, that if followed , made me wonder about that this strange mathematical world. How would we describe it, and how would it make sense?

    Our new picture is that the 3-D world is embedded in extra dimensions," says Savas Dimopoulos of Stanford University. "This gives us a totally new perspective for addressing theoretical and experimental problems.

    Quantitative studies of future experiments to be carried out by LHC show that any signatures of missing energy can be used to probe the nature of gravity at small distances. The predicted effects could be accessible to the Tevatron Collider at Fermilab, but the higher energy LHC has the better chance.
    These colliders are still under construction, but results also have consequences for "table-top" experiments, being carried out here at Stanford, as well as the University of Washington and the University of Colorado. Here’s the basic idea: imagine there are two extra dimensions on a scale of a millimeter. Next, take two massive particles separated by a meter, at which distance they obviously behave according to the well-known rules of 3-D space. But if you bring them very close, say closer than one millimeter, they become sensitive to the amount of extra space around. At close encounter the particles can exchange gravitons via the two extra dimensions, which changes the force law at very short distances. Instead of the Newtonian inverse square law you’ll have an inverse fourth power law. This signature is being looked for in the ongoing experiments

    As you look at the issue of two points(introduction to hyperdimensional realites of quark confinement as a example), it is well understood, by this point that such emergence had to be geometriclaly consistent on many levels. That such royal roads leading too, culminate in some realistic measure? In that mathematical realm, we had left off, and in recognition of the fifth postulate of euclid. By acceptance and creation of this extra dimension, it was well apparent, that such tendencies were developing along side with the physics as well.

    But we had to determine where this mathematical realm had taken us, in terms of measure? We are quckly reminded of the place in which such measures become the constant rallying point around important questions of these views.

    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.

    It wasn't a game anymore, that we did not suspect that reductionism might have taken us as far as the energy we could produce could take us? So we had to realize there was limitations to what we could percieve at such microscopic levels.

    High energy particles have extremely small wavelengths and can probe subatomic distances: high energy particle accelerators serve as supermicroscopes:

    To see What?

    The structure of matter


    Faced by these limitations and newly founded conceptual views based on the quantum mechanical discription of spacetime as strings, how would we be able to look at the cosmos with such expectancy? To know, that the views energetically described, would allow further developement of the theoretcial positons now faced with in those same reductionistic views?

    What has happened as a result of considering the GR perspective of blackholes, that we had now assigned it relevance of views in cosmological considerations? Such joining of quantum mechanical views and GR, lead us to consider the sigificance of these same events on a cosmological scale. This view, had to be consistent, geometrically lead too?

    If we discover the Planck scale near the TeV scale, this will represent the most profound discovery in physics in a century, and black hole production will be the most spectacular evidence of that new discovery