Showing posts with label Toy Model. Show all posts
Showing posts with label Toy Model. Show all posts

Saturday, June 25, 2005

Periodic Impingement Orbits:Interference Patterns?

Path through S0(3) Now you must know that the views of this space had association to the >ATLAS, that the paths defined are real intermsof the Calorimetric view, that such appearances are mapped from one state to another by the plate coveringa nd measures of the energy's involved. By taking this covering to symbolize this space? gap we realize how diverse the interactions can be by the implications of the energy used? So we have various idealization here about how the rotational attributes could have been defined in a greater world expression beyond the confines of those same plates

I was looking for the right image to show this rotation and quickly I find Greg Egan's for consideration here, but I had another one as well. When I find it will bring it back for consideration

Shall I call it a real world fantasy that Alice steps into the "mirror world" and we find that exultation of the story again being use to exemplify the world where things enter, and in this strange space/gap, the photon comes out on the otherside?

G -> H -> ... -> SU(3) x SU(2) x U(1) -> SU(3) x U(1). You have to realize that such emergence into the views of universal formulations, has to have some associative response from the quantum world to see that such relevance in the cosmological particpations could have ver pointed to the motivation of these universes coming into being, that it would go through a phase tranasformation relevant to each particle discription? Is this correct? This presented itself iw ay of seeing that stretches the mind imaginations tht I wonder have I indeed gone off the deep end.

Young might have been very happy with this story of Alice in Wonderland, and the wonder of the path integrals, as part of a greater comprehension and revitalization exemplified not just in the feynnmenian toy model production, but of one that enlists a wonderful non-eucldiean world set aside for each and every wonder of entrance and departure into new phase realizations?

It was realized some time ago by Glashow [5] that the orthopositronium system provides one sensitive way to search for the mirror universe. The idea is that small kinetic mixing of the ordinary and mirror photons may exist which would mix ordinary and mirror ortho positronium, leading to maximal ortho positronium - mirror orthopositronium oscillations.




In Albrecht Durer and His Magic Square, I point to what was accomplished in use of an image and artistically rewritten Melencolia II
[frontispiece of thesis, after Dürer 1514]by Prof.dr R.H. Dijkgraaf


Now for me, and I constantly have to remind people that I am junior here in my peceptions, that it would be of my greatest pleasure to expicitly speak to the undestanding of what happens, not only in how we see these lagrange points in space, but also reveal the coming into being of the photon and it's disappearance in a way that involves this complete 720 degree rotation.

I don't know how else to explain what I am seeing other then to find examples and here it would have been most fruitful in looking at what the question mark, where we find the version Melencolia II containing this fundmnantal question about what rises from the standard model and how this is dealt with.

S0 how would define this straight line and measure, but to see it's existnce as a supersymmetrical reality, and as a Calabi Yau model of expression, and find in this same rotational value complete, as a map written, as it is below.

The Photon comes into existance here




The photon is represented here.


So you see this chaos exemplified in a way that the Lorentzian butterfly comes into it's own, that such impngement would find itself relating to each other and trasnferance from state to another? Also, as we look at this, in contrast symmetreical idealization has to have another view reveal itself in the link to the image below where we see this lorentzian butterfly, also mapped in relation to the transferance from one state to another. The Planck Epoch helps here.

How would one mapped unpreditabiltiy in chaos to have seen something grow out of it into a solvable part of some symmetrical views of the gap?

I seemed to have lost the wording that popped into my mind last night. Try as I may, it is one of those times where you repeat it to yourself so that you don't loose it, but being half asleep, this solution was presented for what ever reason.



Is it quite part of what I was looking at, I am not sure. So of course I go looking to see if anything rings a bell?

Friday, June 17, 2005

John Venn

The early historical work can be derived from personages. Helps sometimes to illucidate the avenue and abtractions that seem only fitted for the abstract mind?

Do people like to deal with such issues? I am finding that as I am learning, I am tryng to find the means with which to express myself, so that such a basis is understood when I bring togehter the thoughts I like to do, into other areas. So it is necessary to see how such abstract avenues play their role in my "fantasy journey's" and then introduce the deepr pursuate to explain myself more coherently.



A painting of John Venn by Charles E. Brock. Photograph by Christopher Hurst, Hamilton-Kerr Institute, University of Cambridge


John Venn (August 4, 1834 - April 4, 1923), was a British mathematician, who is famous for conceiving the Venn diagrams, which are used in many fields, including set theory, probability, logic, statistics, and computer science.

He was born in Hull, Yorkshire. He entered Gonville and Caius College, Cambridge in October 1853 and graduated in 1857. Shortly after graduating he was elected a fellow of the college. He was ordained as a deacon at Ely in 1858 and became a priest in 1859. In 1862 he returned to Cambridge as a lecturer in moral sciences
.


So having lead one to the esence of this individual I wanted to introduce a journey that combined a few different avneues, and how I go to that point. But before I do this, the image with which I wanted to supply, will do wonders on the unification idea manifesting in my own mind.

Thomas Young's Double Slit Experiment

The double-slit experiment consists of letting light diffract through two slits producing fringes on a screen. These fringes or interference patterns have light and dark regions corresponding to where the light waves have constructively and destructively interfered. The experiment can also be performed with a beam of electrons or atoms, showing similar interference patterns; this is taken as evidence of the "wave-particle duality" explained by quantum physics.



Society and all it's function might have seemed beyond the approach of a method to determination that could underlie it's very existance by functions that would have never made sense had they not been curtailed to a way of seeing. I exploit this ability to see underneath society and its basis, by bringing together perspective, hopefully in a sound mangagement style and artistic endeavor, no less then the work of Lewis Carroll and his fictous name sake, that will be revealled soon enough.



This image below will serve it's purpose when it comes time, so being part of this overall post, this directs us to the amazing value of mathematicians as they exercizes their creatve abilities beyound the abstract frames they have give themself.


Lewis Carroll's fame is universal. I can easily cite a couple dozen books that mention him or quote from his books. Temptation to quote from Alice's experiences with which so many people can identify, is indeed great. But the trend may be reversing. In the introduction to a book I have recently come across, the author found it necessary to mention that in the whole of the book there is not a single reference to either Alice in Wonderland or Through the Looking Glass - the two books that made the name of Lewis Carroll a household item the world over. However, his other works are either forgotten or known far less. In real life he was a mathematician C. L. Dodgson with deep interest in symbolic logic and logical reasoning. I have described elsewhere one of his probability and the doublets puzzles.


Now for some, the Feynmen diagrams become a useful toy model for defining the interatcive phases, and for me, being Junior in these aspects, I come with a lot of speculation, but no less the need for something to hang my hand on. It was interetsing for me to see that such defintions and pathways would have been exemplified by such drawings to hold the perspectve to specific interactve phases.

Now a given wide a berth to my speculation, from Young to Feynmen, I saw this content from Dirac's early work, as example used the matrice design? The work of Feynmen, leading from this. Now not to spread the willy nilly fate of wrong information, I would have to qualify this statement, and I wil do so at a later date. I will watch for such statements in my journeies and draw from them for support, if given. I would not lesson this view, by stating the topological pathway would have been incorporated into a design of strings no less held to such views of feynmen lines, that it would have explained these interactve phases as well. I think peope do not understand this very well?

So the work her ehas been lead nto a area of math that defnes the thinking process I have in a way that might not have been considered before? I wil expound even greater to confuse the masses, by introdcution of other areas that I found explicable by uniting avsion of such phase as to ask what value would GHZ entnaglement serve, but to have found the questions of the like sof Gerard t' hooft haunting when it comes to the questions also posed by Penrose. Do we need a new quantum mechanical view?

This highlighted my thinking and of course directed it too the state of examination given by Smolin and others, as we expound greatly on the essecne of Thomas young and his expeirment, and the basis bneeded for detrmination of the Trigger?:) I bet some see the principals now shown as I lead into other areas soon?:)

You had to understand, that Alice and Bob serve their purposes in a strange wonderful way. That one asks where had the photon gone, in it's illustrous journey of possibile pathways, that we did not wonder what intiatied this process? Would such a signature have highlighted the view with the question of the rigger signifying some deeper inherent basis of existance. That signalled other views to manifest into the world of gravtonic perceptions, no less dictating our understanding of time variable measures?

The Looking Glast

Thursday, May 12, 2005

A recipe for making strings in the lab

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

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

Fixations on Objective Design

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

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

Now back to the topic of this thread.

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



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


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


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

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

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


Artist's impression of the setup.

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

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

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

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

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


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


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

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

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

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


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



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


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





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




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




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


See:

  • Quantum Harmonic Oscillators


  • Distinctions of Holographical Sound
  • Wednesday, May 11, 2005

    The Unity of Mathematics


    Alain Connes

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

    I think what intrigues me most, is that a world can be fabricated mathematically that is carefully constructed using models of math, to get to a desired visionary culmination? One had to have some culminative effect, from such model thinking, that a vision beocmes clear. In this sense I related Lenny Susskind here, for his developement and contributions to string theory.

    Now having spent time delving into parts of this world, the "tidbits" help me to see that such alignmenets of the world of physics have correlations in mathematical design. This has to have it basis set, "in the Rossetta stone you might say," about how we percieve the deveopement of those physics. The math must contrast the physics?

    So to set things straight here, in case I gave the wrong link, I thought I should attribute proper link to words in case this mistake was made.



    So too, information in blogs can be readily adapted too, where previous articles might have made some feel that the article not worth maintaining in their blog? That it might have been removed? I was thinking of the B-field topic that Lubos had written briefly on, that when I went to look for relevant information pertaining to this current entry, it was no where to be seen.

    A VIEW OF MATHEMATICS by Alain CONNES
    Most mathematicians adopt a pragmatic attitude and see themselves as the explorers of this mathematical world" whose existence they don't have any wish to question, and whose structure they uncover by a mixture of intuition, not so foreign from poetical desire", and of a great deal of rationality requiring intense periods of concentration.

    Each generation builds a mental picture" of their own understanding of this world and constructs more and more penetrating mental tools to explore previously hidden aspects of that reality.


    Now many would have to forgive my adventurous heart. I was somehow transported in my thoughts and converted? I don't know when, that such models of the mathematical structure had easily become discernable for me(it's result)? Not it's elemental structure(although I have seen areas of string theory design developed) from basic principals. It had it's culminative effect.

    Is my vision always right? Of course not. But I see where such discriptions are necessary. Solid, and in stone, so that such progression can be made. I respect this, and I respect the physics, and it's culminative approach in theoretical developement.

    Nature's Greastest Puzzle



    Alain Connes refers to "poetic design," much like I see beats to music:?), and artistic adventure, as the play ground of imagination. We hope such songs shared, lyrics or otherwise, will reveal what the most secluded and private individuals might have found in their own world. To seek out, good artistic drawers like Escher? Penrose, needed his help, and the ideas brought forth, interesting results.

    Now there is a reason for this post besides setting the record straight. It came up a long time ago with the question of whether mathematics was natural or created.

    This may seem simplistic thought to some, but to me, it forced me to consider whether mathematics and physics were directed connected to each other.:) Now as I have said it is not easy for me to follow the matheics of such abtract individuals, but once I catch sight of the world that they allude too, it is somehow easy for me to see the structure of the bubble, or a representative drawing correlated in nodes, and features of a world that is constained in the physics.

    This is why I refer back to Lubos and his B-field missing post, or I cannot simply find it. I refer to it, because I made links to mathematical design, that correlated dynkin diagram as shown above, and connects to other blog. Now it was important for me to see this correlation in the archetecture of the picture I linked to its prospective author, in relation to the dynkin diagram. Not the E11 asscoiation, but with that I had linked in image in comments to the B-field post.

    My whole blog is based on visionary developement, theoretically, as well as nurturing physics association as best as I can, to show that the envelope is being pushed theoretically.



    Interpretations of the magnetic field, in all its desgin is easily comprehensible once we align our thinking to hard fact and design reprsentation. Magnetic field lines on paper, is a child's toy, but easily experimetally done. Much more abstract then, that we see the field created, it's north and south, and a channel through which expression can flow?



    Now even this is contained, and a Gausssian representation, highly abtract, relates curvature in away that we would understand this force that nature has created for us.

    You must remember I do not have the luxury or life's abilty to move through the higher avenues that scholastic carreers have venture forth in. To preview this branch or that branch in physics, so I am bombarded with information from all angles:?)

    I like to wrap the gravitational field, much like we wrap the magnetic field. It's just the way I see, and in it's greater design, that vast gravitational field that is generate through our cosmos? Bubbles become very interesting whenyou wrap somehing and the inside is moving with the outside, and in the vast vacuum of space this is stretching the very fabric itself?

    I won't make the mistake of calling it the aether, yet continuity of expression seen in this abstract mode, does not see "tears" and such, so it is allocated to topological relevances. Holes, that look like swiss cheese in the cosmos? Yet I know well the events, that materialize in comsological expression, I wanted to push beyond these material things, to see the greater vision that has been moved by mathematcians.

    You can say the rogue man here who speaks, is a wolf cub. Has been raised in a foreign world, without the benefits of scholastic teachers to guide me. So I had to look for them who held sacred some of the vision that I see when this math leads to a comprehensive view.

    Reimann lead Einstein, and it was fortunate that Grossman was able to spot Einsteins deficiences. Help him move geoemtical principal beyond the euclidean coordinated world, to one manifested in spacetime, and a new dynamcial feature called gravity. It was beyond billiards and the sound related, and not the clasical discription that now beocmes the analogy of, that strange world we now see in gravitational thought.

    Was it enough to speak about theses things and theorectically develope thoughts, to describe ways, in which such sound could ring bars, or influence the flexible arms of LIGO We measure this abstract world mathematcially created, to realize, we are now engaged in something very unique about our visions developement? Kip Thorne progeny will be the new genration that sees in way that were new to bauss and Riemann and now as we see of Einstein. This has a geometrical expression and basis to it, and it leads into projective elements topologically described.

    Klein's Ordering of Geometries

    A theorem which is valid for a geometry in this sequence is automatically valid for the ones that follow. The theorems of projective geometry are automatically valid theorems of Euclidean geometry. We say that topological geometry is more abstract than projective geometry which is turn is more abstract than Euclidean geometry.


    Klien's ordering of geometries were specifc here?

    Monday, March 07, 2005

    Stretching the Brain

    Pettit shakes a remarkably sturdy film of water onboard the ISS. See the full-length movie: Reel 1, Reel 2.
    "Observations of nature, no matter how seemingly arcane, are like peeling off one more layer from the great onion of knowledge, tickling your imagination with what you have found but always revealing yet another tantalizing layer underneath," says Pettit.
    "I hope we never get to the core." See:Saturday Morning Science

    What strikes me as strange is how we could have percieved the language of branes, with somekind of toy model even though we can't see them. For me as a sideliner, who views the world of these theoreticists, I had to try and make sense of this language they are talking about.

    So I looked for some comparisons and geometrodynamics came into view, but I mean this couldn't have even been fathomable if we say it is hidden ,what the heck does this mean? The dimensional relevance had to be spoken and our visulizations moved beyond the euclidean points to a non euclidean world of metrics realization between these quark to quark measures.

    So in the spirit of Feynmen, how about we use these new features to help us orientate the views of the world that is hidden and help many understand the world contained in the vacuum, that many could never have comprehended?

    Lubos likes Moose horns as a analogy for Feynman path integrals?:)

    Here I would look at Dvali's analogies to move the consideration forward place within context of this post.

    It is part and parcel of the view I am developing, in relation to the geometrical/topological understanding that comes out of the view of how this universe came to be. I know this would quickly align some persepctives in that geometrical consideration. But having viewed Daniel Kabats response how would we describe non conformal geometries that arrive in the spaces Daniel speaks about?

    So any way, here is the new toy model that one should work with, and correspond developing language in relation too GR's developing views along side of the small world we all are trying to capture.

    LQG is successful here in the intersecting bubble technology(simpleces and monte carlo models in representing quantum gravity?), in regards to it's nodes, but how would string theory survive. You had to know that underlying this language is some kind of consistency. String theory represented in the graviton, points to the question for the quantum geometry/topology that will explain this unseen world that has been theorized.

    Quivering, in quark to quark measures are a interesting way in which to see the world theory spaces and not the points. The configurations space would have to explain the geometry in a way the Gaussian coordinates would help us view a dynamical world?

    Thursday, March 03, 2005

    Brane New World

    If some thought is beyond comprehensible to engage string theory and come away with some simple statement about it, imagine if we are taken to the new heights that Brane New World might implicate.

    But first, having understood something about the matrix involved I tried to educate myself and look for the thread that would bring feynman to dirac for his toy model production.


    P.A.M. Dirac was a gifted mathematical inventor who saw how quantum mechanics rises from classical mechanics, yet transcends it. Dirac did not know of the Bohr atom when he arrived at Cambridge in 1923; yet he quickly began contributing to the mathematical structure demanded by quantum phenomena, discovering the connection between the Poisson bracket and the commutator of Heisenberg”s matrix representation of observables. Then, with careful attention to its classical antecedent, Dirac found the equation governing the evolution of the matrix elements which had eluded Heisenberg in the operator ihdA/dt = [A,H]. He then went on to discover spinors in describing the relativistic electron and antimatter implied by the quantum in relativistic space-time. Dirac conceived the many-time formulation of relativistic quantum mechanics and laid the foundations of the Feynman path integral thereby opening the way to quantum electrodynamics. Newton synthesized the foundations of classical mechanics. In fitting kinship, Dirac, who did the equivalent for quantum mechanics, filled the chair at Cambridge held by Newton.


    Well when I moved to the higher dimensions it became extremely difficult to understand that if in Brane New World antics as revealled by Dvali, these concepts are simply discussed, but have far reaching implications.


    Dvali uses the analogy of a metallic sheet submerged in water to illustrate the principle. If one hits the sheet with a hammer, shock waves will carry away the energy in all directions. "Most of the energy will travel along the two-dimensional surface. Only at a substantial distance away from the source will the energy loss to water be appreciable," he said. "According to our picture, we are in a very similar situation. We think gravity is 'normal' because we only measure it directly at relatively short distances, but cosmic acceleration indicates leakage.
    "


    This simple visualization does more to ask, how we could look at what is being held to this brane, to understand that the way that vibration moves across his example, would have some correpsondance somewhwere else for consideration.

    It is always easy to visualize the three coordinated universe as a box, and if using loop amplitudes within context of Greg" Egan's example, you are going to meet the faces that these loops reflect. This pointed to something beyond the faces of these coordinates for me, to realize, that beyond the four dimensinal views there was a world that we were missing in consideration. Those missing energy events speak to this, for me.

    So the following picture I hope clarifies what I have been saying for sometime from a M Theory perspective.

    Unfortunately the image I had on file is no longer connected to it's source so the site gone takes the image with it. This logic was part of the developement I see in the interenet that would reveal the source and not compromize it's auhtor's rights?

    So of course I had to go look at how I would see Dvali's statements about the hammer heating the metal sheet.