Wednesday, January 12, 2005

Domains walls and Interconnecting Loops



It seems wellness is coming back in full force:) so I thought I would take some advice. This paragraph below italizied, and the one related to Chen for consideration, in terms of the abtract world that topological consideration, might have have found expression? If supersymmetrical realites are ever reached, looking backwards to the origins of the universe, what does it mean if you do not consider the high energy of any situation? Is there no mathematical world there?


As a result, the gluons inside one gold ion appear to the other ion as a ‘gluonic wall’ traveling near the speed of light. At very high energies, the density of the gluons in this wall is seen to increase greatly. Unlike the quark-gluon plasma produced in the collision of such walls, the color glass condensate describes the walls themselves, and is an intrinsic property of the particles that can only be observed under high-energy conditions such as those at RHIC.

A lot of times when you move to consider the higher forms of a geometry that leads to topological considerations, you wonder if there are other mechanisms availiable to help one move within these abstractions. So by looking at current experiments in the gold ions collisions something caught my attention that I wondered abou,t in current topological structure work and summing over all topologies to have found it's place of value?

The simple fact is that causal effects in the early universe can only propagate (as at any time) as the speed of light c. This means that at a time t, regions of the universe separated by more than a distance d=ct can know nothing about each other. In a symmetry breaking phase transition, different regions of the universe will choose to fall into different minima in the set of possible states (this set is known to mathematicians as the vacuum manifold). Topological defects are precisely the `boundaries' between these regions with different choices of minima, and their formation is therefore an inevitable consequence of the fact that different regions cannot agree on their choices.

So having understood the early universe as microstates, its important that if such opportunities in the physics bring forth other possibilties, then maybe predictive features are viable alternatives to what topological structures we are using?



Now as I said it is highly abstract for obvious reasons, and one cannot forget the royal road that lead to this dimensional perspective that seem to fall by the wayside(salem witch trials) when speculation is prodded in landscape issues and blaspheming of the branes theories.:)



So having understood early cosmological valuations in high energy considerations, are also cosmological questions, I wonder then how such formations could have ever multiplied into a cohesive structure, we have around us now? So the model that was most helpful for me was considered.

Modified Kaluza-Klein Theory, Quantum Hidden Variables and 3-Dimensional Time


In this paper, the basic quantum field equations of free particle with 0-spin, 1-spin (for case of massless and mass $>$ 0) and 1/2 spin are derived from Einstein equations under modified Kaluza-Klein metric, it shows that the equations of quantum fields can be interpreted as pure geometry properties of curved higher-dimensional time-space . One will find that if we interpret the 5th and 6th dimension as ``extra'' time dimension, the particle's wave-function can be naturally interpreted as a single particle moving along geodesic path in 6-dimensional modified Kaluza-Klein time-space. As the result, the fundamental physical effect of quantum theory such as double-slit interference of single particle, statistical effect of wave-function, wave-packet collapse, spin, Bose-Einstein condensation, Pauli exclusive principle can be interpreted as ``classical'' behavior in new time-space. In the last part of this paper, we will coupling field equations of 0-spin, 1-spin and 1/2-spin particles with gravity equations.



Using so much information(imagine strings as a expression of a much different world harmonically pitched) to try and piece together a picture of the universe, is not always easy. Gerard Hooft's points about using this in computer manifestations, is a resonable enough problem that is understood, that of course LIGO translation and Seti mode of operandi, helps us with all these tiny bits of information.

Tuesday, January 11, 2005

The Color Glass Condensate


  • Search for a new state of matter called the Quark-Gluon Plasma, which is believed to be the state of matter existing in the universe shortly after the Big Bang. If it is found, then measure its properties.


  • Study matter under extreme conditions of temperature and pressure.


  • Learn where the proton gets its spin.


  • Study the most basic building blocks of nature and the forces that govern them.



  • Conclusions: Overwhelming empirical evidence for a new form of matter sQGP with unexpected properties

    Is a term that is new to me and since it has been brought by Lubos in regards to The RHIC fireball as a dual black hole, and other issues in regards to gluon consideration as blackhole radiation. I would like to comprehend this better as to the direction string research is going:)

    Background on color glass condensate

    Color glass condensate is another extreme condition of matter that some theoretical physicists postulate exists inside two gold ions about to collide at very high energy in RHIC. According to Einstein’s theory of relativity, a high-energy particle appears Lorentz contracted, or compressed, along its direction of motion. As a result, the gluons inside one gold ion appear to the other ion as a ‘gluonic wall’ traveling near the speed of light. At very high energies, the density of the gluons in this wall is seen to increase greatly. Unlike the quark-gluon plasma produced in the collision of such walls, the color glass condensate describes the walls themselves, and is an intrinsic property of the particles that can only be observed under high-energy conditions such as those at RHIC.




    To me Peter and Lubos are getting close on regards to the issue of the Shakespearean Quandry of to B-e or not the be+, and as a artistic rendition? What value could we have ever sought from the minute interactions, photon gluon interaction, that might be demonstrated from such fine dimensional thinking of the issues involve at such perceptive levels of existance? How is this possible?



    Our focus is carefully being directed to the areas of collision for introspection and consideration.




    Monday, January 10, 2005

    Tiny Blackholes in Cosmic Observations?

    205th Meeting of the American Astronomical Society 9-13 January 2005 -- San Diego, CA

    I am kind of interested to find further information on how microstate blackholes might have been generated and looking at the concentration of minds, I wonder if this topic was brought up, or will be brought up?

    The Pierre Auger Observatory, currently being constructed in Argentina to study cosmic rays, could examine the structure of spacetime itself, say physicists in the United States.

    If, as some suspect, the Universe contains invisible, extra dimensions, then cosmic rays that hit the atmosphere will produce tiny black holes. These black holes should be numerous enough for the observatory to detect, say Jonathan Feng and Alfred Shapere of the Massachusetts Institute of Technology in Cambridge, Massachusetts1.

    The observatory will consist of two 3,000-square-kilometre arrays - one in Argentina, one somewhere in the Northern Hemisphere - each containing 1,600 particle detectors. Scheduled for completion by 2004, scientists hope that the equipment will help to solve the mystery of cosmic rays. These rays consist of extremely high-energy particles that stream into the Earth's atmosphere from space - from where, exactly, no one knows.


    Lubos has mention Steve Giddings and I have also mentioned himearlier inmy blogs on the topic of Mini blackholes as well.

    In theories with large extra dimensions at sub-millimetre distances, for example, and/or high energies of the order of 1 TeV or more, gravity may become a strong force. Thus, hypothetically, the energy required to produce black holes is well within the range of the LHC, making it a "black-hole factory". As Stephen Hawking has taught us, these mini black holes would be extremely hot little objects that would dissipate all their energy very rapidly by emitting radiation and particles before they wink out of existence. The properties of the Hawking radiation could tell us about the properties of the extra spatial dimensions, although there are still uncertainties in the theory at this stage. Nevertheless, astroparticle and collider experiments should provide useful input to the theoretical work in this area. Indeed, the signatures are expected to be spectacular, with very high multiplicity events and a large fraction of the beam energy converted into transverse energy, mostly in the form of quarks/gluons (jets) and leptons, with a production rate at the LHC rising as high as 1 Hz. An example of what a typical black-hole event would look like in the ATLAS detector is shown in figure 2.
    If mini black holes can be produced in high-energy particle interactions, they may first be observed in high-energy cosmic-ray neutrino interactions in the atmosphere. Jonathan Feng of the University of California at Irvine and MIT, and Alfred Shapere of the University of Kentucky have calculated that the Auger cosmic-ray observatory, which will combine a 6000 km2 extended air-shower array backed up by fluorescence detectors trained on the sky, could record tens to hundreds of showers from black holes before the LHC turns on in 2007.




    Cosmic rays in ATLAS
    The flux of cosmic ray muons through the ATLAS cavern can be utilized as a tool to "shake down" the ATLAS detector prior to data taking in 2007.

    Additionally, a thorough understanding of the cosmic ray flux in ATLAS will be of great use in the study of cosmic ray backgrounds to the search for rare new physics processes in ATLAS.





    The Emergence of Time, What Lies Beneath?

    The intuitive classical space-time picture breaks down in quantum gravity, which makes a comparison and the development of semiclassical techniques quite complicated.

    Taken in context of how supersymmetrical levels could have ever been reached, is really a wonderful thnng to consider. If singularities were to be devised in methods that would experiementally bring forth blackholes at the microstates. Then what value is derived from learning about high energy and the levels we must go through to speak about these singularities?

    From classical discritpion of GR to the understanding that supergravity could have ever been devised as a method to live in supersymmetrical worlds, would have been a challenge indeed, and we might ask where would time would begin, and what was below time?


    The conclusion of this lecture is that the universe has not existed forever. Rather, the universe, and time itself, had a beginning in the Big Bang, about 15 billion years ago. The beginning of real time, would have been a singularity, at which the laws of physics would have broken down. Nevertheless, the way the universe began would have been determined by the laws of physics, if the universe satisfied the no boundary condition. This says that in the imaginary time direction, space-time is finite in extent, but doesn't have any boundary or edge. The predictions of the no boundary proposal seem to agree with observation. The no boundary hypothesis also predicts that the universe will eventually collapse again. However, the contracting phase, will not have the opposite arrow of time, to the expanding phase. So we will keep on getting older, and we won't return to our youth. Because time is not going to go backwards, I think I better stop now.
    by Stephen Hawking

    It becomes very difficult then for anyone to accept that Robert Laughlin might have "wondered" about about condensed matter physics to have wonder what the building blocks shall be at such levels? That he might have wanted to stay to discrete structures for explanations as far as he could tell experimentally?:)


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

    You see this is okay. That one can direct their attention to such infrastructures to ask, what the ultimate building block shall be, that we constantly refocus our mind to the finer things(abstract mathematical forays into these fine building blocks), only to find, we have progress well into the cosmological view, of such microstates?

    "The path integral is taken over metrics of all possible topologies, that fit in between the surfaces. There is the trivial topology, the initial surface, cross the time interval. Then there are the non trivial topologies, all the other possible topologies. The trivial topology can be foliated by a family of surfaces of constant time. The path integral over all metrics with trivial topology, can be treated canonically by time slicing. In other words, the time evolution
    (including gravity) will be generated by a Hamiltonian. This will give a unitary mapping from the initial surface, to the final.
    "


    But to follow is this what Peter Woit thinks?

    Peter Woit said--?His argument is in Euclidean quantum gravity, which he describes as "the only sane way to do quantum gravity non-perturbatively", something which some might disagree with. What he seems to be arguing is that, while it is true you get information loss in the path integral over metrics on a fixed non-trivial black hole topology, you really need to sum over all topologies. When you do this you get unitary evolution from the trivial (no black hole) topology and the non-trivial topologies give contributions that are independent of the initial state and don't contribute to the initial-final state amplitude.

    I guess what this means is that he is claiming that, sure, if you knew you really had a black hole, then there would be a problem with unitarity, but in quantum gravity you don't ever really know that you have a black hole, you also have to take into account the amplitude for not actually having one and when you properly do this the unitarity problem goes away.


    You must accept my humble apologies, but to have been given these directions(quotes analogies in reference links and statements, from both Lubos Motl and Peter Woit, I wonder about the difference in their interpretations of the mathematics they are using? Are they so fundamntally at odds with each other, that they do not realize that they are working very close in their idealizations?



    Thursday, January 06, 2005

    Quantum Gravity at Planck Length

    It was necessary to bring some of this infomration here while things are getting sorted out elsewhere.

    6.4 Spacetime Topology Change
    by Joseph Polchinski

    This subsection is not directly related to black holes, but deals with another exotic question in quantum gravity. Gravity is due to the bending of spacetime. It is an old question, whether spacetime can not only bend but break: does its topology as well as its geometry evolve in time?

    Again, string theory provides the tools to answer this question. The answer is ‘yes’ — under certain controlled circumstances the geometry can evolve as shown schematically in figure 9.


    Posted below is Steinhardt informtaion, and his cyclical universe have been highlighted for consideration. The informtaion about the Planck satelitte ready for deployment in 2007 should open our eyes to a few of the issues that are evolving.



    Primordial Gravitational Waves

    Although I have designated the title above, I want to add current trends for future observations by speaking to this one first.

    It is sometimes evident that such comments made by Peter Woit would have to have enormous amounts of data to back up the reasons why research should not be moving in the direction it is. I do not have alot of time right now so I will just put up this for now.

    Planck was selected as the third Medium-Sized Mission (M3) of ESA's Horizon 2000 Scientific Programme, and is today part of its Cosmic Vision Programme. It is designed to image the anisotropies of the Cosmic Background Radiation Field over the whole sky, with unprecedented sensitivity and angular resolution. Planck will provide a major source of information relevant to several cosmological and astrophysical issues, such as testing theories of the early universe and the origin of cosmic structure. The scientific development of the mission is directed by the Planck Science Team.

    How would such information force us to consider the subject of gravitational wave generation in microscopic avenues, and all of a sudden dismiss quantum geometrical considerations as revealled on topological forms? Would it?

    Max Tegmark and others, current working in this area, will have been provided with a deeper look at what they have been postulating in regards to "topological forms," in the cosmos. As many know, this relationship is part of my attempts at comprehension of what happens at such quantum levels and why quantum geometry is not relevant to cosmolgical scales for considerations.

    For such comments, that would have implied Higher Dimensions to be revealled in the Spacetime Fabric, would have been verified? But like the Cyclical Universe, I could go the way of any model that does not follow the current established trends of thinking.:)It would be consequential, if such speaking is not backed up, but as we know any ear that is lent to discussion, the reasons why before hand, would always be a important one to consider?:)

    Wednesday, January 05, 2005

    Tuesday, January 04, 2005

    GR Reduced From Higher Dimensions?



    Earlier in my blog, I posted a subject called the Classical discription of the quantum world

    Now it was a big leap of faith on my part that I saw these events as distilliations of a larger and more dynamic universe that cooled to proportionl views that I had related in that post. But now, this might be rejected based on the work done on this cosmological observatory, that is not mirrored from a larger proportional view of that early universe? What does this mean?

    If planck epoch arises to expansitory features revealled in our cosmos, then, early universe detection is a valid assumption of this earlier design?

    That the comments posted by Arun in the blog entitled crackpotism, contrasted to my statement, has much more discussion behind it to consider.

    Arun said: So, string theory embraces both General Relativity and not-General Relativity!!!! In other words, string theory says nothing definite.

    Plato said: And about Arun's comment about GR. Phase transitions would be reduced holographcally from higher dimensions( the standard model would have been decribed from earlier states ), would finally show up there?:)

    If one did not recognize earlier states of existence and just accepted the cosmological playground sight seen, it always existed in this form then:) That is, if we take the standard set by observation:)

    I for one thought, topological considerations would have been formulated from earlier cosmic designs, but apparently this might have been subject to scrutiny, and thought out. Rejection of the soccer ball design as well?:)


    So I guess I'll get to it here and post the following for consideration.

    The significance of the largest scale CMB fluctuations in WMAP:

    Now of course, we must remember that the way in which I am looking at this universe is that we see it in it's earlier state, as spread out(higher dimensional attributes), much like we see the discription of the early computerize version shown here .

    Computerized Model of Andrey Kravtsov.

    The current state of the universe, globally, would be a derived from some view point that represents the current shape and size of the universe. Represents its current age, to design? At least, this is what would have been derived from the sources I am considering in light of the assumption I am making, has some realistic version, that would hold to such spherical considerations. Hold on Peter Woit:)



    So such a point although subject to these phase transitions are in the end understood on the other end of the scale of consideration from that early universe to today. To what passes us by? We are attempting to measure at this point in time, what "rings true" through all of us?:)



    Monday, January 03, 2005

    Induction and Deduction



    Our attempt to justify our beliefs logically by giving reasons results in the "regress of reasons." Since any reason can be further challenged, the regress of reasons threatens to be an infinite regress. However, since this is impossible, there must be reasons for which there do not need to be further reasons: reasons which do not need to be proven. By definition, these are "first principles." The "Problem of First Principles" arises when we ask Why such reasons would not need to be proven. Aristotle's answer was that first principles do not need to be proven because they are self-evident, i.e. they are known to be true simply by understanding them.


    The interesting thing about developing vision is of course recognizing the framework with which you will make deductions about the world, and the structures with which you will deal. If held to pre-establish routes, and leading indicators of geometrical design, leading to higher dimensional attributes revealled in topological discourses, then such vision would have required the mind accept higher dimensional attributes first?



    Often the very idea, of distilling information, inductively looking at the object of consideration, would have been like sitting in front of a picture and realizing that the very ideas about inductive and deductive reasoning would have made them self know in some way or form. So for me, recognizing the piecing that has gone on with the royal road to geometry, Plato's discourse with Aristotle at the top of this web page, part of deciphering this global village of ideas, is to soak up the picture of Rapheal.

    So what I have done here is brought together another idea(the arch), in the comprehension of this picture for consideration. That in model comprehension( and just for the sake of it accept string theory for a moment) it is always much easier to accept the picture as it is, without really understanding the deeper implications of it.

    Now in my research, and looking at what happened with Lenny Susskind and the work he was doing, such a inspirative insight of the string vibration in his head would have been a recognition and culmination of other things, before, this image materialized in his brain.

    If we understand the topic of this thread, inductive and deductive modelling would have helped one recognize that the model acceptance would have immediately forced the mind to consider inductive and deductive features, as topological expressions of the roads leading from this geometry of expression to higher dimensinal attributes no less then what John Baez describes for us in using Platonic Solids for comparison.



    In order to get to what is self-evident, such realizations of higher dimensions would have asked the mind to exercise it's ability to move in these higher abstract worlds, by looking at differents model comprehensions and acceptances, to prepare it for extensions and realizations of those same realities we live in?

    "We hold these truths to be self evident"


    Should have been emblazoned on the American mind, and the realization of the way in which such truths once accepted, help us to move on and further develope the models we would want of the society as recognition of this whole picture. Simplified, such realizations signify the grokking and acceptance of the model and the ability, to play with other avenues of consideration, and in this case, strings as an example.

    It could be Loop or Penrose as well and recognition, that the standard model is part and parcel of the whole view. One would have recognized this if they had understood that to go beyond the standard model and include gravity they had already bypassed this idea and formulation in a conprehensive whole.

    From the planck epoch in cosmological understanding, grand unification, made this implicite in the design as part of a comprehensive whole of the dimensional significance of the developing cosmos.

    Saturday, January 01, 2005

    Roger Penrose and the Quanglement


    Order and Chaos, by Escher
    (lithograph, 1950)



    I will give Peter Woit and the group time to formulate the topic that should present itself shortly on their blog gathering. How the integration and question presented by Penrose was very helpful in how we digest early universe information. I will speak more on that, and universe clumping then.




    Penroses 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.


    If one does not comprehend the way in which the images can set up the mind for other things, then it becomes extremely difficult for it to accept any other models for consideration in the mathematical realm leading to issues of quantum gravity?