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Showing posts with label Geometrics. Show all posts
Showing posts with label Geometrics. Show all posts

Saturday, September 15, 2012

Noncommutative standard model




In theoretical particle physics, the non-commutative Standard Model, mainly due to the French mathematician Alain Connes, uses his noncommutative geometry to devise an extension of the Standard Model to include a modified form of general relativity. This unification implies a few constraints on the parameters of the Standard Model. Under an additional assumption, known as the "big desert" hypothesis, one of these constraints determines the mass of the Higgs boson to be around 170 GeV, comfortably within the range of the Large Hadron Collider. Recent Tevatron experiments exclude a Higgs mass of 158 to 175 GeV at the 95% confidence level.[1] However, the previously computed Higgs mass was found to have an error, and more recent calculations are in line with the measured Higgs mass. [2]

 

Contents

 

Background


Current physical theory features four elementary forces: the gravitational force, the electromagnetic force, the weak force, and the strong force. Gravity has an elegant and experimentally precise theory: Einstein's general relativity. It is based on Riemannian geometry and interprets the gravitational force as curvature of space-time. Its Lagrangian formulation requires only two empirical parameters, the gravitational constant and the cosmological constant.

The other three forces also have a Lagrangian theory, called the Standard Model. Its underlying idea is that they are mediated by the exchange of spin-1 particles, the so-called gauge bosons. The one responsible for electromagnetism is the photon. The weak force is mediated by the W and Z bosons; the strong force, by gluons. The gauge Lagrangian is much more complicated than the gravitational one: at present, it involves some 30 real parameters, a number that could increase. What is more, the gauge Lagrangian must also contain a spin 0 particle, the Higgs boson, to give mass to the spin 1/2 and spin 1 particles. This particle has yet to be observed, and if it is not detected at the Large Hadron Collider in Geneva, the consistency of the Standard Model is in doubt.

Alain Connes has generalized Bernhard Riemann's geometry to noncommutative geometry. It describes spaces with curvature and uncertainty. Historically, the first example of such a geometry is quantum mechanics, which introduced Heisenberg's uncertainty relation by turning the classical observables of position and momentum into noncommuting operators. Noncommutative geometry is still sufficiently similar to Riemannian geometry that Connes was able to rederive general relativity. In doing so, he obtained the gauge Lagrangian as a companion of the gravitational one, a truly geometric unification of all four fundamental interactions. Connes has thus devised a fully geometric formulation of the Standard Model, where all the parameters are geometric invariants of a noncommutative space. A result is that parameters like the electron mass are now analogous to purely mathematical constants like pi. In 1929 Weyl wrote Einstein that any unified theory would need to include the metric tensor, a gauge field, and a matter field. Einstein considered the Einstein-Maxwell-Dirac system by 1930. He probably didn't develop it because he was unable to geometricize it. It can now be geometricized as a non-commutative geometry.

See also

 

 

Notes

 

  1. ^ The TEVNPH Working Group [1]
  2. ^ Resilience of the Spectral Standard Model [2]

 

References

 

 

External links

 


Update:


Wednesday, January 07, 2009

Lost in Translation

Photo Credit: NASA


Supernova Remnant Turns 400

Four hundred years ago, sky watchers, including the famous astronomer Johannes Kepler, were startled by the sudden appearance of a "new star" in the western sky, rivaling the brilliance of the nearby planets. Now, astronomers using NASA's three Great Observatories are unraveling the mysteries of the expanding remains of Kepler's supernova, the last such object seen to explode in our Milky Way galaxy.

This combined image -- from NASA's Spitzer Space Telescope, Hubble Space Telescope, and e Chandra X-ray Observatory -- unveils a bubble-shaped shroud of gas and dust that is 14 light-years wide and is expanding at 4 million miles per hour (2,000 kilometers per second). Observations from each telescope highlight distinct features of the supernova remnant, a fast-moving shell of iron-rich material from the exploded star, surrounded by an expanding shock wave that is sweeping up interstellar gas and dust.
See:Supernova Remnant Turns 400

***



Given the idea that there is an original version to what is constituted as reality and attempts to describe it are really, "Births by approximation."

Now you have to understand the previous blog posting by this name to understand that I presented supernovas and remnants as a illustration of what happens when we see the universe by itself, is laid out before us, while within that time frame (universe's birth to present), events have happened that are defined as Supernovas.

Several types of supernovae exist that may be triggered in one of two ways, involving either turning off or suddenly turning on the production of energy through nuclear fusion. After the core of an aging massive star ceases to generate energy from nuclear fusion, it may undergo sudden gravitational collapse into a neutron star or black hole, releasing gravitational potential energy that heats and expels the star's outer layers.
See:Supernova

Now in terms of what we now know in what has been demonstrated by being lead by scientific process, a realization that such events as "the Spherical cow embeds parts of the universe in expression." We now know that such a view in terms of 13.7 billion years in the universe's age, has elements within it that are aged as well which should not exceed the age of the universe? How does gravity occur in the totality of the whole universe, for it not to be the same, as the Supernova unfolds.

Type II

Within a massive, evolved star (a) the onion-layered shells of elements undergo fusion, forming an iron core (b) that reaches Chandrasekhar-mass and starts to collapse. The inner part of the core is compressed into neutrons (c), causing infalling material to bounce (d) and form an outward-propagating shock front (red). The shock starts to stall (e), but it is re-invigorated by a process that may include neutrino interaction. The surrounding material is blasted away (f), leaving only a degenerate remnant.


Stars with at least nine solar masses of material evolve in a complex fashion.[5] In the core of the star, hydrogen is fused into helium and the thermal energy released creates an outward pressure, which maintains the core in hydrostatic equilibrium and prevents collapse.

When the core's supply of hydrogen is exhausted, this outward pressure is no longer created. The core begins to collapse, causing a rise in temperature and pressure which becomes great enough to ignite the helium and start a helium-to-carbon fusion cycle, creating sufficient outward pressure to halt the collapse. The core expands and cools slightly, with a hydrogen-fusion outer layer, and a hotter, higher pressure, helium-fusion center. (Other elements such as magnesium, sulfur and calcium are also created and in some cases burned in these further reactions.)


***


The event itself and the resulting explosion has to have a basis in terms of geometrics. What shall we call these Supernovas when their previous existence may have been a blackhole? What do we call stars that collapse that make blackholes.

Source: Image Credit: Nicolle Rager Fuller/NSF


Stars shine
by burning hydrogen. The process is called nuclear fusion. Hydrogen burning produces helium "ash." As the star runs out of hydrogen (and nears the end of its life), it begins burning helium. The ashes of helium burning, such as carbon and oxygen, also get burned. The end result of this fusion is iron. Iron cannot be used for nuclear fuel. Without fuel, the star no longer has the energy to support its weight. The core collapses. If the star is massive enough, the core will collapse into a black hole. The black hole quickly forms jets; and shock waves reverberating through the star ultimately blow apart the outer shells. Gamma-ray bursts are the beacons of star death and black hole birth.
Bold emphasis to encourage a conclusive realization about the classification of those events within the universe given to Gamma recordings in our measures.

Hybrids in the Universe?-12.20.06X-ray image of the gamma-ray burst GRB 060614 taken by the XRT instrument on Swift. The burst glowed in X-ray light for more than a week following the gamma-ray burst. This so-called "afterglow" gave an accurate position of the burst on the sky and enabled the deep optical observations made by ground-based observatories and the Hubble Space Telescope. Credit: NASA/Swift Team
A year ago scientists thought they had figured out the nature of gamma-ray bursts. They signal the birth of black holes and traditionally, fall into one of two categories: long or short. A newly discovered hybrid burst has properties of both known classes of gamma-ray bursts yet possesses features that remain unexplained.

The long bursts are those that last more than two seconds. It is believed that they are ejected by massive stars at the furthest edge of the universe as they collapse to form black holes.

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See:
  • Birth By Approximization
  • Spherical Cows and their X-ray Sources
  • Tuesday, March 11, 2008

    Tipping LightCones and the Escape Velocity of a Photon

    "Black Hole" by Tamsin van Essen Also see: Tamsin van Essen-Ceramic Design

    Wonderful and creative thinking to what remains a mystery to a lot of people who do not ever get to see what cancer looks like or what it can do to one's family. This physical process, and the creative representation is a very interesting one to me.


    Figure 2. Clebsch's Diagonal Surface: Wonderful.
    We are told that "mathematics is that study which knows nothing of observation..." I think no statement could have been more opposite to the undoubted facts of the case; that mathematical analysis is constantly invoking the aid of new principles, new ideas and new methods, not capable of being defined by any form of words, but springing direct from the inherent powers and activity of the human mind, and from continually renewed introspection of that inner world of thought of which the phenomena are as varied and require as close attention to discern as those of the outer physical world, ...that it is unceasingly calling forth the faculties of observation and comparison, that one of its principal weapons is induction, that it has frequent recourse to experimental trial and verification, and that it affords a boundless scope for the exercise of the highest efforts of imagination and invention. ...Were it not unbecoming to dilate on one's personal experience, I could tell a story of almost romantic interest about my own latest researches in a field where Geometry, Algebra, and the Theory of Numbers melt in a surprising manner into one another.


    It also reminded me of the Wunderkammern and the move to "geometrical design," which was housed in Glass cases and for a time lost to the public eye. Sylvester surfaces is a case in point when looking at the nature of these geometrical models

    I am interested in determining how one can detect a blackhole.

    So the following post is in latex language that can be copied and those who have latex can place for examination. Clifford's spam checker(just recently checked and see that it was posted.) will not allow me to complete the rest of the comment entry so I will just put it here and go to bed. I tried putting in his latex sandbox(this now worked as well), but to no avail either.

    Text book or not, it gives a clearer picture of what a "strong gravitational space" does to the photon.

    Gravity and the Photon

    The relativistic energy expression attributes a mass to any energetic particle, and for the photon

    [tex]E=mc^2=hv[/tex]

    The gravitational potential energy is then

    [tex]\LARGE U=\frac{-GMm}r=\frac{-GMh}{rc^2}{vo}[/tex]

    When the photon escapes the gravity field, it will have a different frequency

    [tex]\large hv=hv_o[{1-}\frac{GM}{rc^2}] \hspace9 v=v_o[{1-}\frac{GM}{rc^2}] \hspace9 \frac{\bigtriangledown v} {v_o}={-}\frac{GM}{rc^2}[/tex]

    Since it is reduced in frequency, this is called the gravitational red shift or the Einstein red shift.

    --------------------------------------------------
    Escape Energy for Photon

    If the gravitational potential energy of the photon is exactly equal to the photon energy then

    [tex]\normal hv_o=\frac{GM}{rc^2}{v_o} \hspace9 \text or r=\frac {GM}{c^2}\\ \text so if Mass M collapses to radius r a photon will be redshifted to zero frequency[/tex]

    Note that this condition is independent of the frequency, and for a given mass M establishes a critical radius. Actually, Schwarzchilds's calculated gravitational radius differs from this result by a factor of 2 and is coincidently equal to the non-relativistic escape velocity expression

    [tex]v_e_s_c_a_p_e_ = \sqrt {\frac{2GM}{r}} \hspace9 \\ \text which if V is set equal\\to c gives a radius r=\frac {2GM}{c^2}\hspace9 \text Schwarzchild Radius[\tex]

    This equivalence is used as a mnenomic, but does not imply this is a valid way to derive the Schwarzchild Radius

    You can delete from your tipping light thread. Have a nice day. I acknowledge fully I am the student. While we see tipping light cones there is an actual qualitative understanding for the determination of the blackhole in this context? By your definition you were right to let me know, how you are presenting this for better consumption and how I might be interfering with that process. So my apology (my bad).

    Previously, I left a comment in relation to Susskind's thought experiment about the elephant and Bob on the back of the elephant B moving toward the horizon of the blackhole. My thoughts were about the "entanglement process" and how Alice on the back of elephant A would reveal aspects of the nature of the blackhole as elephant B move closer to that horizon.

    This point, while understanding the representation of CFT in this regard, I thought it quite humorous that Susskind did in fact use the elephant as a representative thinking in relation to Quantum gravity? I do not know if people picked up on this?

    Wednesday, February 07, 2007

    Angels and Demons on a Pinhead

    "Observations always involve theory."Edwin Hubble
    Curvature Parameters

    Of course I had to point to the cosmological understanding that took us to this "geometrical understanding of things that are large." But this is to be short, while I crunch the thoughts of the process to the pinhead. You can follow the "picture links" and learn more on your own time.


    Calabi-Yau manifold (3D projection made with Mathematica)-
    In either case, gravity acting in the hidden dimensions affects other non-gravitational forces such as electromagnetism. In fact, Kaluza and Klein's early work demonstrated that general relativity with five large dimensions and one small dimension actually predicts the existence of electromagnetism. However, because of the nature of Calabi-Yau manifolds, no new forces appear from the small dimensions, but their shape has a profound effect on how the forces between the strings appear in our four dimensional universe. In principle, therefore, it is possible to deduce the nature of those extra dimensions by requiring consistency with the standard model, but this is not yet a practical possibility. It is also possible to extract information regarding the hidden dimensions by precision tests of gravity, but so far these have only put upper limitations on the size of such hidden dimensions.


    How many would have thought that such a micro-perspective could have been ever be taken down to "this level" and found an analogy that is suitable? You needed something more here to consider, yet, I will call it "angel and demons" for those who like the mystery.


    Image: courtesy Andrew J. Hanson, Indiana University-A computer-generated rendering of a possible six-dimensional geometry similar to those studied by UW-Madison physicist Gary Shiu.

    I will try and spell out what is happening at such a microperspective level. You might wonder, how did such ideas become what is, "the good and evil of the world" is really a part of the dynamics that we see geometrically enhanced, as we delve ever deeper into this mystery of reductionism and such. On how, we may look at cosmology that "is different" with this perspective.

    Energy "is" Gravitationally Related

    At some point, those considering "all this energy" and the way reduction is assigned to the energy at all levels, what shall any calorimetric pick up as such collision processes seek to define "every contact" as we want to "map the pinhead" accordingly?

    Lubos Motl saids that he sees the relation to such dynamical situations as "fruitful research" toward the understanding of the cosmological descriptions implied from such micro states. To have it listed according to a "geometrical perspective" we might be able to assign each universe? Okay! He did not say that exactly, so check into his blog entry for an update.

    I'd like to thank Quasar9 for reporting on this as well.

    Orbitals



    My thoughts have been there toward reductionism's more cosmological counterpart for some time now. So I enjoy, that the views that I have had about the microperspective have indeed been sanctioned at some science level according to the scientist in the know. Yes, I can prove my thoughts here for you, so you know what I mean.


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


    Now it is indeed a "greater depth of perception" that asks us to delve into the microperspective of string world. How is it the cosmological world can have such similarities, while the story of the Calabi Yau, makes itself a headlight news current in the research of string theory?

    The First Few Microseconds, by Michael Riordan and Willaim A. Zajc
    During those early moments, matter was an ultrahot, superdense brew of particles called quarks and gluons rushing hither and thither and crashing willy-nilly into one another. A sprinkling of electrons, photons and other light elementary particles seasoned the soup. This mixture had a temperature in the trillions of degrees, more than 100,000 times hotter than the sun's core.


    See:
  • Angels and Demons
  • Doppelgänger Favors Oscillate
  • Music of the Spheres
  • A Clear Presence-Friday
  • Monday, January 01, 2007

    Symmetries Can be Chaotically Complex



    Imagine in an "action of a kind" you start off from one place. A photon travelling through a slit of Thomas Young's, to get through "a world" to the other side. Sounds like some fairy tale doesn't it? Yet, "the backdrop" is where you started?


    Thomas Young (June 14, 1773 – †May 10,1829)
    was an English scientist, researcher, physician and polymath. He is sometimes considered to be "the last person to know everything": that is, he was familiar with virtually all the contemporary Western academic knowledge at that point in history. Clearly this can never be verified, and other claimants to this title are Gottfried Leibniz, Leonardo da Vinci, Samuel Taylor Coleridge, Johann Wolfgang Goethe and Francis Bacon, among others. Young also wrote about various subjects to contemporary editions of the Encyclopedia Britannica. His learning was so prodigious in scope and breadth that he was popularly known as "Phenomenon Young."



    Simplistically this "massless entity" is affected by the "geometrics of gravity?" Is affected from it's "first light." All the way to some "other point in reality" to some image, called the spectrum.

    I am dreaming. I am walking down the street and there is this "N category cafe."

    Imagine walking off the street into this very public venue and seeing the philosophy shared is also held to certain constraints. :)Philosophy? Yes, we all have our "points of view."

    Travelling the Good Life with Ease

    So in this travel how is one to see this "curve of light" or "slide" and we get this sense of what gravity can do.

    Imagine indeed, "a hole cosmological related" in the three body problem, it has to travel through, and we get this sense of "lensing and distortion," abstractually gravitationally induced?



    So as we look at the cosmos what illusion is perpetrated on our minds as we look into the "great distance of measure" that somehow looking to the journey of "an event local," from our place on and about earth, has not been "chaotically entrained in some way, as we look deep into space?


    The Magic Square
    Plato:Like Pascal, one finds Albrecht has a unique trick, used by mathematicians to hide information and help, to exemplify greater contextual meaning. Now you have to remember I am a junior here in pre-established halls of learning, so later life does not allow me to venture into, and only allows intuitive trials poining to this solid understanding. I hope I am doing justice to learning.


    Moving in abstract spaces

    It was necessary to explain why I added "the image" to the right in my index.

    Some would think me so "esoteric" that I had somehow lost touch with the realities of science? That to follow any further discussion here "has to be announced" to save one's dignity? What ever?:)I am esoteric in that my views of the world come from a different place, not unlike your expression of where you had come from living your life. How would I come to know all that you are in a "single sentence." A single and very short equation? It's really not that easy is it?:)

    So I read you from all the things that you say and get the sense of who you are no different then what is implied in the language of poetic art implied carefully from choosing your words?

    Artistically Inclined?

    I tried to give some hint of the "ideas floating" around in my head. I understand quite well that my challenge has been to get those "images in my head" transmitted onto paper, in a way that one would not become confused as to what is being implied.

    So a good writer I may not be, a "not so good scientist" whose mathematics very ill equipped.

    Thus I am faced with these challenges in the new year? A "recognition" of trying to produce that clarity. Whether in "latex" the symbols of mathematics, it is quite a challenge for me, whilst all these things are still engaged in abstract views of reality.

    So someone like Clifford, may look at Robert by what he has written and say, "hey, my fellow scientists are indeed in trouble" from what Robert has learnt. So I Clifford will provide "the latex sandbox" for you to play in?

    It "appears" I am not alone. My struggle, are to be many a struggle.

    Art and the Abstract

    But to my amazement this morning in checking up the links associated of Clifford's, I was amazed to see the article of, Hooking Up Manifolds

    Now how interesting that what is being displayed there in terms of fun, mathematics, art, could have been so abstractly appealing? "Moving over these surfaces" in ways that one might never appreciated, had you not known about how one can look at the universe in the "two ways mentioned previously," and by simple experiment, transcend such things to art.

    Friday, December 29, 2006

    Wolf-Rayet star

    While I have started off with the definition of the Wolf-Rayet star, the post ends in understanding the aspects of gravity and it's affects, as we look at what has become of these Wolf-Rayet stars in their desimination of it's constituent properties.

    Similar, "in my thinking" to the expansion of our universe?


    Artist's impression of a Wolf-Rayet star
    About 150 Wolf-Rayets are known in our own Milky Way Galaxy, about 100 are known in the Large Magellanic Cloud, while only 12 have been identified in the Small Magellanic Cloud. Wolf-Rayet stars were discovered spectroscopically in 1867 by the French astronomers Charles Wolf and Georges Rayet using visual spectrometery at Paris Observatory.


    There are some thoughts manifesting about how one may have see this energy of the Blue giant. It's as if the examples of what began with great force can loose it's momentum and dissipate very quickly(cosmic winds that blow the dust to different places)?


    Illustration of Cosmic Forces-Credit: NASA, ESA, and A. Feild (STScI)
    Scientists using NASA's Hubble Space Telescope have discovered that dark energy is not a new constituent of space, but rather has been present for most of the universe's history. Dark energy is a mysterious repulsive force that causes the universe to expand at an increasing rate.


    What if the Wolf-Rayet star does not produce the jets that are exemplified in the ideas which begin blackhole creation. Is this part of blackhole development somehow in it's demise, that we may see examples of the 150 Wolf-Rayets known in our own Milky Way as example of what they can become as blackholes, or not.

    Quark to quark Distance and the Metric

    If on such a grand scale how is it thoughts are held in my mind to microscopic proportions may not dominate as well within the periods of time the geometrics develop in the stars now known as Wolf-Rayet. So you use this cosmological model to exemplify micro perspective views in relation to high energy cosmological geometrics.



    Plato:
    "Lagrangian views" in relation may have been one result that comes quickly to my mind. Taking that chaldni plate and applying it to the universe today.


    While I had in the previous post talked about how Lagrangian views could dominate "two aspects of the universe," it is not without linking the idea of what begins as a strong gravitational force to hold the universe together, that over time, as the universe became dominated by the dark energy that the speeding up of inflation could have become pronounced by discovering the holes created in the distances between the planets and their moons. Between galaxies.



    I make fun above with the understanding of satellites travelling in our current universe in relation to planets and moons, as well as galaxies. To have taken this view down to WMAP proportions is just part of what I am trying to convey using very simplistic examples of how one may look at the universe, when gravity dominated the universe's expansion versus what has happened to the universe today in terms of speeding up.


    LOOP-DE-LOOP. The Genesis spacecraft's superhighway path took it to the Earth-sun gravitational-equilibrium point L1, where it made five "halo" orbits before swinging around L2 and heading home.Ross


    If the distances between galaxies have become greater, then what saids that that the ease with which the speeding up occurs is not without understanding that an equilibrium has been attained, from what was once dominate in gravity, to what becomes rapid expansion?

    This book describes a revolutionary new approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive (or chaotic). It also represents an ideal introductory text to celestial mechanics, dynamical systems, and dynamical astronomy. Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated. Although controversial until quite recently, this method was in fact first applied in 1991, when Belbruno used a new route developed from this theory to get a stray Japanese satellite back on course to the moon. This application provided a major verification of his theory, representing the first application of chaos to space travel.

    Since that time, the theory has been used in other space missions, and NASA is implementing new applications under Belbruno's direction. The use of invariant manifolds to find low energy orbits is another method here addressed. Recent work on estimating weak stability boundaries and related regions has also given mathematical insight into chaotic motion in the three-body problem. Belbruno further considers different capture and escape mechanisms, and resonance transitions.

    Providing a rigorous theoretical framework that incorporates both recent developments such as Aubrey-Mather theory and established fundamentals like Kolmogorov-Arnold-Moser theory, this book represents an indispensable resource for graduate students and researchers in the disciplines concerned as well as practitioners in fields such as aerospace engineering.

    Thursday, December 28, 2006

    First Stars Behind the Scene

    There are several recognized processes from the early universe that leave relic effects setting the stage for galaxy formation and evolution. We deal here with the first generarion of stars, primordial nucleosynthesis, the epoch of recombination, and the thermal history of various cosmic backgrounds.


    Part of understanding the time line is first knowing where the Pregalactic Universe exists in that time line.

    Plato:
    So given the standard information one would have to postulate something different then what is currently classified?

    A new Type III (what ever one shall attribute this to definition), versus Type I, Type IIa?


    The idea is to place the distant measure in relation to what is assumed of TYPE I, TypeIIa. It assumes all these things, but has to been defined further, to be a Type III. That's the point of setting the values of where this measure can be taken from.

    I wrote someplace else the thought generated above. It is nice that the world of scientists are not so arrogant in some places, while some have been willing to allow the speculation to continue. Even amidst their understanding, that I was less then the scientist that they are, yet recognizing, I am deeply motivated to understanding this strange world of cosmology and it's physics.

    When I wrote this title above I was actually thinking of two scenarios that are challenging the way I am seeing it.


    Credit: NASA/WMAP Science Team
    WMAP has produced a new, more detailed picture of the infant universe. Colors indicate "warmer" (red) and "cooler" (blue) spots. The white bars show the "polarization" direction of the oldest light. This new information helps to pinpoint when the first stars formed and provides new clues about events that transpired in the first trillionth of a second of the universe.


    First of these, was in terms of the time line and what we know of the WMAP demonstration given to us of that early universe. I of course inject some of what I know by past research to help the general public understand what is being demonstrated from another perspective.

    This is what happens as you move through different scientists(Wayne Hu) thoughts to see the world in the way they may see it. This concept can be quite revealing sometimes giving a profound effect to moving the mind to consider the universe in new ways.



    "Lagrangian views" in relation may have been one result that comes quickly to my mind. Taking that chaldni plate and applying it to the universe today.



    Even though in the context of this post, we may see the universe in a "simple experiment" not just demonstrating the "early universe," but the universe in it's "gravitational effect" from that evolution to matter defined now.

    The Time Line


    Credit: NASA/WMAP Science Team
    The expansion of the universe over most of its history has been relatively gradual. The notion that a rapid period "inflation" preceded the Big Bang expansion was first put forth 25 years ago. The new WMAP observations favor specific inflation scenarios over other long held ideas.


    Looking to the "far left" of the image we see the place where the cosmic background is being demonstrated, while to the "far right" we see the satellite which has helped measure what we know of the early universe. So this "distant measure" has allowed us to understand what is behind the scene of what we know of cosmology today of events, galaxies and such.

    Second, what comes to mind is the Massive Blue Star of 100 Solar masses that would have been further out in terms of the billions of years that we may of sought in terms of our measures. So this would be of value I would assume in relation to model perspective and measures?

    So the distance measure has been defined then by understanding the location of the cosmic background and the place where the Blue giants will have unfolded in their demise, to the creation of blackholes.


    The processes in the Universe after the Big Bang. The radio waves are much older than the light of galaxies. From the distortion of the images (curved lines) - caused by the gravitation of material between us and the light sources - it is possible to calculate and map the entire foreground mass.Image: Max Planck Institute of Astrophysics
    We don't have to wait for the giant telescope to get unparalleled results from this technique, however. One of the most pressing issues in current physics is to gain a better understanding of the mysterious Dark Energy which currently drives the accelerated expansion of the Universe. Metcalf and White show that mass maps of a large fraction of the sky made with an instrument like SKA could measure the properties of Dark Energy more precisely than any previously suggested method, more than 10 times as accurately as mass maps of similar size based on gravitational distortions of the optical images of galaxies.

    Wednesday, December 27, 2006

    The Geometrics Behind the Supernova and it's History



    It is not always easy for people to see what lies behind the wonderful beauty of images that we take from the satellite measures of space, and it's dynamical events illustrated in Cassiopeia A. There before you is this majestic image of beauty, as we wonder about it's dynamics.


    These Spitzer Space Telescope images, taken one year apart, show the supernova remnant Cassiopeia A (yellow ball) and surrounding clouds of dust (reddish orange). The pictures illustrate that a blast of light from Cassiopeia A is waltzing outward through the dusty skies. This dance, called an "infrared echo," began when the remnant erupted about 50 years ago. Image credit: NASA/JPL-Caltech/Univ. of Ariz.
    An enormous light echo etched in the sky by a fitful dead star was spotted by the infrared eyes of NASA's Spitzer Space Telescope.

    The surprising finding indicates Cassiopeia A, the remnant of a star that died in a supernova explosion 325 years ago, is not resting peacefully. Instead, this dead star likely shot out at least one burst of energy as recently as 50 years ago.



    How is it such information arrives to us, and we would have to consider the impulse's behind such geometrical explanations. Which we are lucky to see in other ways. So, of course we needed to see the impulse as dynamically driven by the geometrical inclinations of that collapse, and all it's information spread outward by the description in images painted.


    Credit: Weiqun Zhang and Stan Woosley
    This image is from a computer simulation of the beginning of a gamma-ray burst. Here we see the jet 9 seconds after its creation at the center of a Wolf Rayet star by the newly formed, accreting black hole within. The jet is now just erupting through the surface of the Wolf Rayet star, which has a radius comparable to that of the sun. Blue represents regions of low mass concentration, red is denser, and yellow denser still. Note the blue and red striations behind the head of the jet. These are bounded by internal shocks.


    If I had approached you early on and suggested that you look at "bubble geometrodynamics" would it have seemed so real that I would have presented a experiment to you, that would help "by analogies" to see what is happening? Might I then be called the one spreading such information that it was not of value to scientists to consider, that I was seeing in ways that I can only now give to you as example? What science has done so far with using the physics with cosmological views?


    Image Credit: NASA/JPL-Caltech/STScI/CXC/SAO
    This stunning false-color picture shows off the many sides of the supernova remnant Cassiopeia A, which is made up of images taken by three of NASA's Great Observatories, using three different wavebands of light. Infrared data from the Spitzer Space Telescope are colored red; visible data from the Hubble Space Telescope are yellow; and X-ray data from the Chandra X-ray Observatory are green and blue.

    Located 10,000 light-years away in the northern constellation Cassiopeia, Cassiopeia A is the remnant of a once massive star that died in a violent supernova explosion 325 years ago. It consists of a dead star, called a neutron star, and a surrounding shell of material that was blasted off as the star died. The neutron star can be seen in the Chandra data as a sharp turquoise dot in the center of the shimmering shell.


    In this image above we learn of what manifests in "jet production lines," and such examples are beautiful examples to me of what the geometrics are doing. You needed some way to be able to explain this within context of the universe's incidences "as events." We say this action is one with which we may speak to this "corner of the universe." Yet it is very dynamical in it's expression as we see it multiplied from various perspectives.


    The structure of Model J32 as the jet nears the surface 7820 seconds after core collapse.


    So by experiment(?) I saw such relations, but what use such analogies if they are laid waste to speculation that what was initiated such ideas had been the inclination of geometrics detailed as underlying the basis of all expression as an example of some non euclidean views of Riemann perspectives leading shapes and dynamics of our universe by comparison within the local actions of stars and galaxies?

    Gamma Rays?



    So we get this information in one way or another and it was from such geometrical impulse that such examples are spread throughout the universe in ways that were not understood to well.


    X-ray image of the gamma-ray burst GRB 060614 taken by the XRT instrument on Swift. The burst glowed in X-ray light for more than a week following the gamma-ray burst. This so-called "afterglow" gave an accurate position of the burst on the sky and enabled the deep optical observations made by ground-based observatories and the Hubble Space Telescope. Credit: NASA/Swift Team
    A year ago scientists thought they had figured out the nature of gamma-ray bursts. They signal the birth of black holes and traditionally, fall into one of two categories: long or short. A newly discovered hybrid burst has properties of both known classes of gamma-ray bursts yet possesses features that remain unexplained.

    The long bursts are those that last more than two seconds. It is believed that they are ejected by massive stars at the furthest edge of the universe as they collapse to form black holes.


    So looking back to this timeline it is important to locate the ideas spread out before us. Have "some place" inclusive in the reality of that distance from the origins of the stars of our earliest times. 13.7 billions years imagine!


    Fig. 1: Sketchy supernova classification scheme
    A supernova is the most luminous event known. Its luminosity matches those of whole galaxies. The name derives from the works of Walter Baade and Fritz Zwicky who studied supernovae intensively in the early 1930s and used the term supernova therein.
    Nowadays supernova is a collective term for different classes of objects, that exhibit a sudden rise in luminosity that drops again on a timescale of weeks.
    Those objects are subdivided into two classes, supernovae of type I or II (SNe I and SNe II). The distinguishing feature is the absence or the presence of spectral lines of hydrogen. SNe I show no such lines as SNe II do. The class of SNe I is further subdivided in the classes a, b and c. This time the distinguishing feature are spectral features of helium and silicon. SN Ia show silicon features, SN Ib show helium but no silicon features and SN Ic show both no silicon and no helium spectral features.
    The class of SN II is further subdivided in two classes. Those are distinguished by the decline of the lightcurve. Those SN II that show a linear decline are named SN II-L and those that pass through a plateau-phase are referred to as SN II-P.



    So given the standard information one would have to postulate something different then what is currently classified?

    A new Type III (what ever one shall attribute this to definition, versus Type I, Type IIa?


    ssc2006-22b: Brief History of the Universe
    Credit: NASA/JPL-Caltech/A. Kashlinsky (GSFC)
    This artist's timeline chronicles the history of the universe, from its explosive beginning to its mature, present-day state.

    Our universe began in a tremendous explosion known as the Big Bang about 13.7 billion years ago (left side of strip). Observations by NASA's Cosmic Background Explorer and Wilkinson Anisotropy Microwave Probe revealed microwave light from this very early epoch, about 400,000 years after the Big Bang, providing strong evidence that our universe did blast into existence. Results from the Cosmic Background Explorer were honored with the 2006 Nobel Prize for Physics.

    A period of darkness ensued, until about a few hundred million years later, when the first objects flooded the universe with light. This first light is believed to have been captured in data from NASA's Spitzer Space Telescope. The light detected by Spitzer would have originated as visible and ultraviolet light, then stretched, or redshifted, to lower-energy infrared wavelengths during its long voyage to reach us across expanding space. The light detected by the Cosmic Background Explorer and the Wilkinson Anisotropy Microwave Probe from our very young universe traveled farther to reach us, and stretched to even lower-energy microwave wavelengths.

    Astronomers do not know if the very first objects were either stars or quasars. The first stars, called Population III stars (our star is a Population I star), were much bigger and brighter than any in our nearby universe, with masses about 1,000 times that of our sun. These stars first grouped together into mini-galaxies. By about a few billion years after the Big Bang, the mini-galaxies had merged to form mature galaxies, including spiral galaxies like our own Milky Way. The first quasars ultimately became the centers of powerful galaxies that are more common in the distant universe.

    NASA's Hubble Space Telescope has captured stunning pictures of earlier galaxies, as far back as ten billion light-years away.


    Would sort of set up the challenge?

    Wednesday, December 06, 2006

    Reaching for the Stars


    Mars in 6 weeks? And back in a total of four months? That's the prediction of a design team working on antimatter rocket concepts at Pennsylvania State University. But first, you have to get the stuff - and store it. (PSU)
    The popular belief is that an antimatter particle coming in contact with its matter counterpart yields energy. That's true for electrons and positrons (anti-electrons). They'll produce gamma rays at 511,000 electron volts.

    But heavier particles like protons and anti-protons are somewhat messier, making gamma rays and leaving a spray of secondary particles that eventually decay into neutrinos and low-energy gamma rays.

    And that is partly what Schmidt and others want in an antimatter engine. The gamma rays from a perfect reaction would escape immediately, unless the ship had thick shielding, and serve no purpose. But the charged debris from a proton/anti-proton annihilation can push a ship.

    "We want to get as close as possible to the initial annihilation event," Schmidt explained. What's important is intercepting some of the pions and other charged particles that are produced and using the energy to produce thrust."


    So our history here in this blog has detailed how we see the issues of "collision processes developed(Cern), that we may now see the cosmological playground teaming with the opportunities to produce this "stuff" that would send our spaceships to Mars?

    The extension of the thinking of experimental development, has allowed us to think of "what is possible" and what this propulsion system can do, as we make our way into the new territories? As we set sail our ships, searching for those new lands.


    A Penn State artist's concept of n antimatter-powered Mars ship with equipment and crew landers at the right, and the engine, with magnetic nozzles, at left.


    Of course "storage" is always a troubling issue here so they developed what is call the Penning Trap. But it is not without some insight that our geometrical understanding developed in the events in the cosmos, could not be transformed in that same geometrical sense to propel those ships?


    This "Penning trap" developed at Penn State University stores antiprotons.
    It sounds like science fiction, but researchers are learning to create and store small amounts of antimatter in real-life labs. A portable electromagnetic antimatter trap at Penn State University, for example, can hold 10 billion antiprotons. If we could learn how to use such antimatter safely, we could impinge some on a thin stream of hydrogen gas to create thrust. Alternatively, a little antimatter could be injected into a fusion reactor to lower the temperatures needed to trigger a fusion reaction.


    So you ask how is that possible?

    The gravitational collapse sets up the very ideas for us as we make use of that "propulsion system" to move that space ship. So in a sense, "the collider process" at Cern is a gigantic model of what we want in the developmental process as the new engine of our spaceship.


    A schematic of the heart of a Penning trap where a cloud of antiprotons (the fuzzy bluish spot) is kept cold and quiet by liquid nitrogen and helium and a stable magnetic field. (PSU)
    Anti-protons, explained Dr. Gerald Smith of Pennsylvania State University, can be obtained in modest quantities from high-energy accelerators slamming particles into solid targets. The anti-protons are then collected and held in a magnetic bottle
    .


    While previously here I have spoken about how we may use Susskind's thought experiment as a monitoring system of gravitational considerations, it is also this thought process that helps us adjust the ship according to how much thrust is needed in face of the lagrangian views we encounter in star systems?

    However, by using "matter/antimatter annihilation", velocities just below the speed of light could be reached, making it possible to reach the next star in about six years.


    I think Stephen Hawking is going to have to work faster, in order to elucidate his thoughts on this travel. That while I may have started this lesson from the idea of 1999, it is much more advanced then many had understood. The "experimental process" of Cern is much greater then most of us had realized.

    Also there is a developmental "thought pattern" that needs to be understood as we speak about how such a geometrics could have been seen underneath the very structures of our realities. Not only within the cosmos at large but in the dynamical processes of the quantum world.

    Angels and Demons



    Cern IMagery takes a "dramatic position" on what it is saying about itself? :) I would like to think that the fun is in how "mirror world" has somehow been transposed into what we know of the develpmental processes we are given as we now lok at what may help us move into the cosmos.

    If as a society we were "uncultured" we might have thought the tribal influence of the "bad side" of all things? But in that exploratory sense al the tidbits had to add up to something, yet without our understanding of what lies beneath, one might have never gone "past" Robert Mclaughlin, to realize, the geometrical nature that imbues the process we are developing.



    This was Riemann lesson to Gauss in his thesis, who like his student had thought for sure "vision capable now," would also have been transferred into a "whole new world" of understanding of the non euclidean geometries.

    What do they say about the devil being in the details?

    Plato:
    This image had horns drawn on it, with a tail attached. Something about “angels and demons?” I don’t think we should take the “anti” too literal in face of an outcome, or should we?


    It's about how we can take a legitimate process and build ideas on it, according to the very nature of the "negative and positive expressions" of what Riemann set out to do.

    ON a large scale, we see the dynamics of this process, yet failed to see it work at a microcosmic sense as we deal with the colliders? As we move forward in the propulsion systems, it is importance how we see this developmental process take on dynamic views.

    Tuesday, December 05, 2006

    Ring World

    Impact armor, a flexible form of clothing that hardens instantly into a rigid form stronger than steel when rapidly deformed (for example, by the impact of a projectile such as a bullet) - a technology which is quickly approaching reality; in fact being tested during the 2006 Winter Olympics as a product called d3o


    Lest you forget "the concept" above is written in a story form of our past?

    How is it possible for the human mind to see itself in some future?

    We must ask ourselves about the value of the conscience "in moving backwards in time?" An "image" constructed(memory), while not having this ability to "move forward?"

    Imagine that you give weight to the idea of human experience, limiting it, to the shades of darkness in our emotive responses. Yet, there is a time when happiness seems so effortless, that as we check how fast "time" has past, we wonder in amazement?

    No need here to draw up Einstein's conclusions about a "pretty girl and the hot stove" again and again, as it should have sunk in by now? You are the observer and you color your world.



    It's a brief image that I saw myself deploring the satellites in space. Yet, with it the fear of holding on to all that is the firm resolve of one's own focus. Of what is known. Of what we feel is safe? A satellite lost in space. My own fear, as I gazed into the black unknown, possibly lost forever.

    It is part of "my" conscious mind that I would produce such imagery? No, my anxieties were manipuated into a picture form. I sent the insecurites of my own awareness of mind deep into the "creativity" of the subconscious mind.

    You did not know you had such ability did you?:)

    Imagine that I stand on the edge of the Grand Canyon "which I did," and that space spread out before me, is the space of the universe? Imagine indeed, how tight my grip as I look.

    Science Fiction

    Who is it that could not be touched by the fiction of science to have speculated about how we shall live in another time and place? It comes out when you create the circumstances for the mind to wonder, "creatively."


    (Larry Niven's Ringworld, seen from space. Artwork by Harry Frank
    Ringworld is a Hugo and Nebula award-winning 1970 science fiction novel by Larry Niven, set in his Known Space universe. The work is widely considered one of the classics of science fiction literature. It is followed by three sequels, and it ties in to numerous other books in the Known Space universe.
    .


    What gives the mind it capabilities to venture forward and we find technologies in the "sports world being demonstrated" to harness the "memories of the geometrics" which will save us?



    If you understood the "lighthouse analogy" then why had you failed to realized the most "intense point" of impact/ highest energy particles delivered, arose from such geometrics involved? Hulse and Taylor? How was the binary stars revealed while the revolutions got closer?



    Lest some forget too, it is well that the mind see's the value of the "gravity probe b" in such "geometric form" that it has placed a picture(nit it's schematics?) before us, which saids and acknowledges the nature and move to the non-euclidean geometries. Understandng the "lagrangian perspective" is then is a short step away?

    Now what has transpired from the fiction of Ring World?


    d3o Mesh is a perforated textured sheet which has been specifically designed for comfort and breathability for applications requiring good flexure and medium levels of impact protection and is suitable for all applications.
    (dee-three-oh) is a specially engineered material made with intelligent molecules. They flow with you as you move but on shock lock together to absorb the impact energy.


    It is okay to thnk about "the theoretical" and push forward the circumstances that allow one to speculate and drawn the new imagery of mind to new horizons. New lives. We do this all the time when we re-assess our lives in face of the directions we would like to go?


    Plato:
    Now you must remember, as a student and a older one at that, there will always be mistakes. Being granted this reprieve for a time(writing our fiction?), while we look at the question asked, what do I think? Hmmmm.... interesting question.


    What is your story of creation? What hides underneath the story, what is it 's nature, that we may have "created the myth" and let one believe it is just a story?