Monday, December 31, 2007

"Lego Block" Galaxies in Early Universe

Witten:

One thing I can tell you, though, is that most string theorist’s suspect that spacetime is a emergent Phenomena in the language of condensed matter physics.


n this image of the Hubble Ultra Deep Field, several objects are identified as the faintest, most compact galaxies ever observed in the distant universe. They are so far away that we see them as they looked less than one billion years after the Big Bang. Blazing with the brilliance of millions of stars, each of the newly discovered galaxies is a hundred to a thousand times smaller than our Milky Way Galaxy.

The bottom row of pictures shows several of these clumps (distance expressed in redshift value). Three of the galaxies appear to be slightly disrupted. Rather than being shaped like rounded blobs, they appear stretched into tadpole-like shapes. This is a sign that they may be interacting and merging with neighboring galaxies to form larger structures.

The detection required joint observations between Hubble and NASA's Spitzer Space Telescope. Blue light seen by Hubble shows the presence of young stars. The absence of infrared light from Spitzer observations conclusively shows that these are truly young galaxies without an earlier generation of stars.


I always like to think that while we refrain from the actual Lego Building block that a child may use, the infancy in our views of the universe, are principles and terms that a condensed matter theorist might use.


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.Robert Laughlin


See:Welcome to ICAM-I2CAM



Update:


Sunday, December 30, 2007

Zombie Central

Peter Woit:Hopefully Nature won’t take its place as Zombie-central…

December 30th, 2007 at 11:10 am if link deleted(yep! it sure has:) see here

Plato said,

"I have never deviated from the name I use, so you get the sense of who I am.

I do not see how "pushing back the physics and energies involved" would have made these issues abut cosmology inept or classed as fantasy in the making.

Tim May, some things helped toward our understanding whether they are in the kitchen "to help gain in conceptual understanding, what others are less then able to explain in their opinion biased.

Gabe:I really don’t have any knowledge of this, but: What exactly are they trying to say about liquid helium phases and extra dimensions?


Has anyone has sufficiently answered Coin or Gabe in their questions to have offered a conclusion?

Thanks Bee for challenging what would have otherwise been a chorus of the same ole, same ole."


Now what choice do I have, if I were to comment on anything that had to do with what "String theory is doing?" Now, I would have supposedly worn out the title of any string theory article as coming from Zombie central.

Now you know the title of this post and it's origination. The source of inspiration that allows me to comment and let stand, as to the substance of Peter Woit's post. The comments that come along as well.

Zombies

What more can I say, that by putting out front the reasons why this process is not just some fantasy woven for illusionists Peter seems to qualify. To all those who may speak toward the topic of string theory or not.

Will media just leave it "to the expert" to speak for them and not challenge what is the highest opinion Peter has for the topic of string theory? I guess if you are not willing to do the work, then like Scientist, it is better to not write an article and let it die a quick death.

The Articles in Question?

Since I too cannot gain access to the Nature article without paying, I can only go by the "press releases" that Peter has been kind enough to show us. So these are directed to the Nature article.



ow-temperature physicists at Lancaster University may have found a laboratory test of the ‘untestable’ string theory.

The test – which uses two distinct phases of liquid helium - is reported online this week in Nature Physics (published 23 December). Their paper will also be published as the cover article in the paper edition of Nature Physics in January.

String theory is a multidimensional theory based on vibrating strings, as opposed to the point particles described in the Standard Model.


Second Article

DOI: 10.1038/nphys815-Richard Haley, George Pickett and co-workers have taken a lateral step to address this barrier. They cool helium-3 isotope to a superfluid state — that is, a quantum fluid with non-classical properties such as completely frictionless flow. Adding a magnetic field creates a second superfluid phase, and the interface between these two phases behaves like a two-dimensional brane. Indeed, the collision of a brane–antibrane pair leaves traces of a stringy residue of defects: a tangle of vortices.


Third article

Can you model what happened after the Big Bang in your lab?

Helium-3 experiment replicates colliding-brane theory of cosmology.
Yes, according to one group of physicists. A team at Lancaster University in the United Kingdom has used liquid helium and a magnetic field to build a finger-sized representation of the early cosmos. Their findings, published today in Nature Physics 1, could help string theorists to refine their models.


Fourth Article

Again it is one that has to be purchased from nature. All I can do it "re-quote" the selections Peter has made, and direct you to the quotes in question. You have to take my word for what is represented and how it is used by Peter. Sorry. See source of quotes here

The subject of string cosmology is a hot one these days, with theoretical advances in understanding string dynamics riffing with recent precise observations of the cosmic microwave background


The quality of the details of the comparison between 3He and cosmology is not really the point. Like a tap-dancing snake, what is amazing is not that it is done well, but that it is done at all.


Contribution to Zombie Central?

I can only assume that the example given is none other then what Peter has classified?

Does one of these test tubes hold a baby Universe?

The test tube, the size of a little finger, has been cooled to a fraction of a degree above the lowest possible temperature, absolute zero, which is just over 273 degrees below the freezing point of water.

Inside the tube an isotope of helium (called helium three) forms a "superfluid", an ordered liquid where all the atoms are in the same state according to the theory that rules the subatomic domain, called quantum theory.

What is remarkable is that atoms in the liquid, at temperatures within a thousandth of a degree of absolute zero, form structures that, according to the team at Lancaster University, are similar those seen in the cosmos.

"In effect, we have made a universe in a test tube," says Richard Haley, who did the work with Prof George Pickett and other members of the "Ultra-low Temperature Group."



Now, just hold your horses here while we consider not only the context of this article by Richard Highfield, but of the very questions I myself have asked that we might consider the context of the Telegraph article other then contributing to Zombie Central.

Warning to Viewers

It is true that there has been a lot of debate about how information currently being dealt within in science articles are giving concern to people at the forefront of science. So in this effort I see what Peter is saying. Scientists are indeed asking for this responsibility, and not just of the media themself , but of the individual in their "pursuit of the truth" of what is being portrayed out there in the science media's global vision.

I do not sanction "the classifications" that have been drummed up by Peter Woit, from intelligent design theorists, to Zombies.

The View of the Cosmos?

Now why is it that we would look to the cosmos and ask ourselves about the views that would happen in the context of universal display, as having some relevances to the microsomal world that surrounds us.

Over and over again, we are directed to applications of what happens in that cosmos as experimental processes which reveal the origins of the universe in that microcosm view? So they use a test tube. The origins of life has it's basis in that tube on a simplistic level, whether you'd like to think so or not.

Would it have been better to use the "image of the tube" and an emergent image of the colliders over top of it, as a better view of the microscopic view of the world we live in?

Powers of Ten

Many physical quantities span vast ranges of magnitude. Figures 0.1 and 0.2 use images to indicate the range of lengths and times that are of importance in physics.

Many of us understand the powers of ten, Qui?

See: Perspectives on the Power of Ten

So to get from the cosmos pallet of investigation, to one of drawing analogical
views of the vortices, is not so uncommon that we can see such vortices out there in the cosmos and not draw some conclusion to the "relativistic interpretation" that may arise in some super fluid?

I can understand Tim May's "bubble in the test analogy in the kitchen," but I would have drawn a better parallel to sonofusion(you can find examples of this on this site) as an example about reduction to the "principals of the early universe." While I see such collapse dynamically related to "gravitational collapse" this is my view with regards to the increase in temperature values that may have been attributed to the ideas about the energy increase in blackhole development and motivation for providing the routes for cosmological expansion rates. An analogy, yes.

The escape pathway for that "extra energy" to loose itself, while the computations of the values of particle creations are left for inspection. Where did that extra energy go? Is it such a "bad question" to have when looking at the microscopic view of particle creation in the birth of our cosmos? To have the universe being in such a cosmological state, that the variance of speed of expansion shall vary? Explained, with such a idea?

Relativistic Fluid Dynamics: Physics for Many Different Scales-Nils Andersson and Gregory L. Comer

In writing this review, we have tried to discuss the different building blocks that are needed if one wants to construct a relativistic theory for fluids. Although there are numerous alternatives, we opted to base our discussion of the fluid equations of motion on the variational approach pioneered by Taub [108] and in recent years developed considerably by Carter [17, 19, 21]. This is an appealing strategy because it leads to a natural formulation for multi-fluid problems. Having developed the variational framework, we discussed applications. Here we had to decide what to include and what to leave out. Our decisions were not based on any particular logic, we simply included topics that were either familiar to us, or interested us at the time. That may seem a little peculiar, but one should keep in mind that this is a “living” review. Our intention is to add further applications when the article is updated. On the formal side, we could consider how one accounts for elastic media and magnetic fields, as well as technical issues concerning relativistic vortices (and cosmic strings). On the application side, we may discuss many issues for astrophysical fluid flows (like supernova core collapse, jets, gamma-ray bursts, and cosmology).

In updating this review we will obviously also correct the mistakes that are sure to be found by helpful colleagues. We look forward to receiving any comments on this review. After all, fluids describe physics at many different scales and we clearly have a lot of physics to learn. The only thing that is certain is that we will enjoy the learning process!


So you understand that the views of the string theorist is not limited to the microcosmic view, but endorses the cosmological one as well.:) See the Lagrangian views supplied on this site to understand how gravity has been incorporated in the cosmological view.

Friday, December 21, 2007

Merry Christmas and a Happy New Year

Bullet Cluster



A purple haze shows dark matter flanking the "Bullet Cluster." Image Credit: X-ray: NASA/CXC/M.Markevitch et al. Optical: NASA/STScI; Magellan/U.Arizona/D.Clowe et al. Lensing Map: NASA/STScI; ESO WFI; Magellan/U.Arizona/D.Clowe et al

The amount of matter, or "mass," in a galaxy is made up mostly of the gas that surrounds it. Stars, planets, moons and other objects count too, but a majority of the mass still comes from the hot, glowing clouds of hydrogen and other gases.

When the Bullet Cluster's galaxies crossed and merged together, their stars easily continued on their way unscathed. This may seem a bit perplexing, because the bright light of stars makes them appear enormous and crowded together. It would be easy to expect them to smash into each other during their cosmic commute. But the truth is, stars are actually spaced widely apart and pass harmlessly like ships on an ocean.

The gas clouds from the merging galaxies, however, found the going much tougher. As the clouds ran together, the rubbing and bumping of their gas molecules caused friction to develop. The friction slowed the clouds down, while the stars they contained kept right on moving. Before long, the galaxies slipped out of the gas clouds and into clear space.

With the galaxies in open space, Chandra scientists found dark matter hiding.


We can make certain conclusion about our universe given some insight into the geometric way our universe as a whole exists now?

Lets first look at what Sean Carroll has to say and then we can go from here.

The Cosmological Constant

Sean M. Carroll
Enrico Fermi Institute and Department of Physics
University of Chicago
5640 S. Ellis Ave.
Chicago, IL 60637, U.S.A.


Abstract:

This is a review of the physics and cosmology of the cosmological constant. Focusing on recent developments, I present a pedagogical overview of cosmology in the presence of a cosmological constant, observational constraints on its magnitude, and the physics of a small (and potentially nonzero) vacuum energy.


What better way to speak to the content of the universe if you cannot look at the way it is now. It's current "geometric implication" as a result of the parameters we have deduced with WMAP, and resulting information on the content of the dark matter/energy within the universe?

See:The Cosmological Parameters

Saturday, December 15, 2007

The Gravity People of our History

What good is a universe without somebody around to look at it?
Robert Dicke


John Archibald Wheeler (born July 9, 1911) is an eminent American theoretical physicist. One of the later collaborators of Albert Einstein, he tried to achieve Einstein's vision of a unified field theory. He is also known as the coiner of the popular name of the well known space phenomenon, the black hole.

There is always somebody who is the teacher and from them, their is a progeny. It would not be right not to mention John Archibald Wheeler. Or not to mention some of his students.

Notable students
Demetrios Christodoulou
Richard Feynman
Jacob Bekenstein
Robert Geroch
Bei-Lok Hu
John R. Klauder
Charles Misner
Milton Plesset
Kip Thorne
Arthur Wightman
Hugh Everett
Bill Unruh



COSMIC SEARCH: How did you come up with the name "black hole"?

John Archibald Wheeler:It was an act of desperation, to force people to believe in it. It was in 1968, at the time of the discussion of whether pulsars were related to neutron stars or to these completely collapsed objects. I wanted a way of emphasizing that these objects were real. Thus, the name "black hole".

The Russians used the term frozen star—their point of attention was how it looked from the outside, where the material moves much more slowly until it comes to a horizon.* (*Or critical distance. From inside this distance there is no escape.) But, from the point of view of someone who's on the material itself, falling in, there's nothing special about the horizon. He keeps on going in. There's nothing frozen about what happens to him. So, I felt that that aspect of it needed more emphasis.



While people are drawn to the "micro-perspective" it is in face of this, that I fall behind on the "many blog postings" and "current events." I try to maintain a perspective about GR and the development of this process through understanding the history.

I also pay attention to those who use "relevant phrases" to let me know they are continuing to read this blog site. Even in face of the layman status I have. I pay attention also to the information they are imparting and try to incorporate new information from their blogs, within the scope of my understanding, to make sure that I am not misleading others. Thinking this artist( in the conceptual developmental phases) has some wish to be firm in the places science is currently residing.



Most people think of space as nothingness, the blank void between planets, stars, and galaxies. Kip Thorne, the Feynman Professor of Theoretical Physics at Caltech, has spent his life demonstrating otherwise. Space, from his perspective, is the oft-rumpled fabric of the universe. It bends, stretches, and squeezes as objects move through it and can even fold in on itself when faced with the extreme entities known as black holes. He calls this view the “warped side of the universe.”

Strictly speaking, Thorne does not focus on space at all. He thinks instead of space-time, the blending of three spatial dimensions and the dimension of time described by Einstein’s general relativity. Gravity distorts both aspects of space-time, and any dynamic event—the gentle spinning of a planet or the violent colliding of two black holes—sends out ripples of gravitational waves. Measuring the direction and force of these waves could teach us much about their origin, possibly even allowing us to study the explosive beginning of the universe itself. To that end, Thorne has spearheaded the construction of LIGO [Laser Interferometer Gravitational Wave Observatory], a $365 million gravitational-wave detector located at two sites: Louisiana and Washington State. LIGO’s instruments are designed to detect passing gravitational waves by measuring minuscule expansions and contractions of space-time—warps as little as one-thousandth the diameter of a proton.
Despite the seriousness of his ideas, Thorne is also famous for placing playful bets with his longtime friend Stephen Hawking on questions about the nature of their favorite subject, black holes. Thorne spoke with DISCOVER about his lifetime pursuit of science, which sometimes borders on sci-fi, and offers a preview of an upcoming collaboration with director Steven Spielberg that will bring aspects of his warped world to the big screen.


So some are quick to call Kip Thorne and his ilk the fantasy and science fiction editors of our times, when progressing to the new movies they will collaborate on. So maybe rightly so here. But to bunch them into the likes of string theorists, to somehow further their goal on their own "mission to enlighten," how Peter Woit do you think so?

Peter Woit said,
Thorne expects that nothing in the film will violate fundamental physical law. He also seems rather involved in fantasy as well as science fiction, believing that the LHC has a good shot at producing mini-black holes, and that String theory is now beginning to make concrete, observational predictions which will be tested.


The very basis of research and development "has a long arm here" developed from the likes of the "small interferometer that we know "works," as a qualitative measure of the fabric of our universe, as the Ligo Operation.

Don't be so smug to think that what is fantasy in the world of good science people was somehow related to "what you may think" and does not have any validity in the mathematical realm of the string theoretical development.

It all happens in stages as we all know to well?

Tuesday, December 11, 2007

The Other Side of the Coin

Susan Holmes- Statistician Persi Diaconis' mechanical coin flipper.

In football's inaugural kickoff coin toss, the coin is not caught but allowed to bounce on the ground. That introduces an extra complication, one mathematicians have yet to sort out.




Persi Diaconis See here.

The Ground State

There is always an "inverse order to Gravity" that helps one see in ways that we are not accustom too. The methods of "prospective measurements" in science have taken a radical turn? Satellites as a measure, have focused our views.



While one may now look at the "sun in a different way" it had to first display itself across the "neutrino Sudbury screen" before we knew to picture the sun now in the way we do. It was progressive, in the way the sun now forms a picture of what we now know in measure.

So you try and bring it all together under this "new way of seeing" and hopefully your account of "the way reality is," is shared by others who now understand what the heck I am doing?

To get a simple physical understanding of what the acoustic oscillations are, it may be helpful to change the perspective. Normally, the common way of presenting the phenomenon has been in terms of standing waves where the analysis is done in Fourier space. But the baryon-photon fluid really is just carrying sound waves, and the dispersion relation is even pretty linear. So let’s instead think of things in terms of traveling waves in real spacehttp://72.14.253.104/search?q=cache:xLcnPGO6BDQJ:cmb.as.arizona.edu/~eisenste/acousticpeak/spherical_acoustic.ps+Fourier+space+when+I%27m+thinking+about+sound.&hl=en&ct=clnk&cd=1&gl=ca-Steward Observatory, University of Arizona
c 2005


"Uncertainty" has this way of rearing it's head once we reduce our perspective to the microscopic principals(sand), yet, on the other side of the coin, how is it that only 5% of mass determination allows us to see the universe mapped in the way it has in regards to the CMB?

There is this "entropic valuation" and with it, temperature. Some do not like the porridge "to hot or to cold," with regards to "living in a place" within the universe.

So I'll repeat the blog comment entry here in this blog so one can gather some of what I mean.

At 2:56 AM, December 11, 2007, Plato said...
As a lay person with regards to the complexity of the language(sound)and universe, it is sometimes reduced to "seeing in ways that are much easier to deal with," although of course, it may not be the same for everyone?:)

:)Something good science people "do not want to hear?"

Good link in html.

The launching of the sound waves is very similar to dropping a rock in a pond and seeing the circular wave come off (obviously that a gravity wave, not a compressional wave, but I’m focusing on the geometry). The difference here is that the area where the “rock” entered is still the most likely region to form galaxies; the spherical shell that it produced is only carrying 5% of the mass.

Hopefully, this demystifies the effect: we’re seeing the imprint of spherical sound waves launched from the sites of dark matter overdensities in the early universe. But also I hope it makes it more clear as to why this effect is so robust: the propagation of sound in the baryon-photon plasma is very simple, and all we’re doing is measuring how far it got.


"Mapping," had to begin somewhere. Whatever that may mean,one may think of Mendeleeev or Newlands.

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


"Sand with pebbles" on a beach? It had to arise from someplace?

The other side of the Coin is?

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


and not to be undone.

Mass results in an increase in the gravitational force exerted by an object. Density fluctuations on the surface of the Earth and in the underlying mantle are thus reflected invariations in the gravity field.As the twin GRACE satellites orbit the Earth together, these gravity field variations cause infinitesimal changes in the distance between the two. These changes will be measured with unprecedented accuracy by the instruments aboard GRACE leading to a more precise rendering of the gravitational field than has ever been possible to date.


Layman pondering.


So now that you have this "comprehensive view" I have gained on the way I am seeing the universe. You can "now see" how diverse the application of sound in analogy is. It is helping me to develop the "Colour of Gravity" as a artistic endeavour. I refrain from calling it "scientific" and be labelled a crackpot.

A Synesthesic View on Life.

Who knows how I can put these things together and come up with what I do. Yet, it had not gone unnoticed that such concepts could merge into one another, and come out with some tangible result as a "artistic effort." Some may be used to the paintings of Kandinsky(abstract), yet the plethora of imaging that unfolds in the conceptual framework might have been self evident, from such a chaotic mess of the layman's view here?

Friday, December 07, 2007

Kip Thorne on Space Place Live and Cosmc Colors

The most important thing is to be motivated by your own intellectual curiosity. KIP THORNE




Click here to watch Kip Thorne on Space Place Live.

The "Color of Gravity to Sound" forces perspective. What can I say? It becomes an exercise into an artistic adventure. So there has to be a historical development in any idea to express gravity in such a way. So you develop new ideas, learn that detection methods in the aluminum bar for gravity detection holds ameaning for a new enquiring mind. What was Webber doing? Did Einstein hear gravity in such a way? He knew to measure time in terms of the hot stove and a beautiful girl?

The "visible" images in the viewer are what we see with our unaided eyes or ordinary telescopes. The other images shown here were made by instruments that detect light our eyes cannot see. Then those images were colored so that we can see what the instrument saw.

If a "wavelength" appears darkened in the viewer for a particular object, that means we don't yet have an image of that object in that wavelength.


So we develop our measures and apply our colours. How nice these pictures look? Everybody's view the same.

The Colour of the Emotive State

This a person's coloured view of the world around them. The gravity of their situation.

If we were to say that all life was expressed in such a way what would the vibrancy of our emotive states scream, if love is splashed onto a screen, or "anger" stopping in the red?

A man sits under heavy questioning. There are no lie detectors attached to his being. No way is there a better way then to know that his voice, his disposition, cannot hide a lie he might like to tell? The colour tells all, and the deception, is the man's grounded position on life and truth he acquired.

Tuesday, December 04, 2007

Descriptive geometry

At this point in the development, although geometry provided a common framework for all the forces, there was still no way to complete the unification by combining quantum theory and general relativity. Since quantum theory deals with the very small and general relativity with the very large, many physicists feel that, for all practical purposes, there is no need to attempt such an ultimate unification. Others however disagree, arguing that physicists should never give up on this ultimate search, and for these the hunt for this final unification is the ‘holy grail’. Michael Atiyah


The search for this "cup that overflow" is at the heart of all who venture for the lifeblood of the mystery of life. While Atiyah speaks to a unification of Quantum theory and Relativity, it is not without a understanding on Einstein's part that having gained from Marcel Grossmann, that such a descriptive geometry could be leading Einstein to discover the very basis of General relativity?

Marcel Grossmann was a mathematician, and a friend and classmate of Albert Einstein. He became a Professor of Mathematics at the Federal Polytechnic Institute in Zurich, today the ETH Zurich, specialising in descriptive geometry.


So what use "this history" in face of the unification of the very large with the very small? How far back should one go to know that the steps previous were helping to shape perspective for the future. Allow for perspective to be changed, so that new avenues of research could spring forth

Gaspard Monge, Comte de Péluse-Portrait by Naigeon in the Musée de Beaune Born: 9 May 1746 in Beaune, Bourgogne, France
Died: 28 July 1818 in Paris, France-was a French mathematician and inventor of descriptive geometry.


Monge contributed (1770–1790) to the Memoirs of the Academy of Turin, the Mémoires des savantes étrangers of the Academy of Paris, the Mémoires of the same Academy, and the Annales de chimie, various mathematical and physical papers. Among these may be noticed the memoir "Sur la théorie des déblais et des remblais" (Mém. de l’acad. de Paris, 1781), which, while giving a remarkably elegant investigation in regard to the problem of earth-work referred to in the title, establishes in connection with it his capital discovery of the curves of curvature of a surface. Leonhard Euler, in his paper on curvature in the Berlin Memoirs for 1760, had considered, not the normals of the surface, but the normals of the plane sections through a particular normal, so that the question of the intersection of successive normals of the surface had never presented itself to him. Monge's memoir just referred to gives the ordinary differential equation of the curves of curvature, and establishes the general theory in a very satisfactory manner; but the application to the interesting particular case of the ellipsoid was first made by him in a later paper in 1795. (Monge's 1781 memoir is also the earliest known anticipation of Linear Programming type of problems, in particular of the transportation problem. Related to that, the Monge soil-transport problem leads to a weak-topology definition of a distance between distributions rediscovered many times since by such as L. V. Kantorovich, P. Levy, L. N. Wasserstein, and a number of others; and bearing their names in various combinations in various contexts.) A memoir in the volume for 1783 relates to the production of water by the combustion of hydrogen; but Monge's results had been anticipated by Henry Cavendish.


Descriptive geometry

Example of four different 2D representations of the same 3D object

Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions, by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. [1] The theoretical basis for descriptive geometry is provided by planar geometric projections. Gaspard Monge is usually considered the "father of descriptive geometry". He first developed his techniques to solve geometric problems in 1765 while working as a draftsman for military fortifications, and later published his findings. [2]

Monge's protocols allow an imaginary object to be drawn in such a way that it may be 3-D modeled. All geometric aspects of the imaginary object are accounted for in true size/to-scale and shape, and can be imaged as seen from any position in space. All images are represented on a two-dimensional drawing surface.

Descriptive geometry uses the image-creating technique of imaginary, parallel projectors emanating from an imaginary object and intersecting an imaginary plane of projection at right angles. The cumulative points of intersections create the desired image.


So given the tools, we learnt to see how objects within a referenced space, given to such coordinates, have been defined in that same space. Where is this point with in that reference frame?

What is born within that point, that through it is emergent product. Becomes a thing of expression from nothing? It's design and all, manifested as a entropic valuation of the cooling period? Crystalline shapes born by design, and by element from whence it's motivation come? An arrow of time?

Sunday, December 02, 2007

Projective 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.


It is always important to see the progression geometries follow. So you have to know "the origins of geometry" before you can begin to expand into the abstract spaces that space will allow and accomadate.

Eventually it was discovered that the parallel postulate is logically independent of the other postulates, and you get a perfectly consistent system even if you assume that parallel postulate is false. This means that it is possible to assign meanings to the terms "point" and "line" in such a way that they satisfy the first four postulates but not the parallel postulate. These are called non-Euclidean geometries. Projective geometry is not really a typical non-Euclidean geometry, but it can still be treated as such.

In this axiomatic approach, projective geometry means any collection of things called "points" and things called "lines" that obey the same first four basic properties that points and lines in a familiar flat plane do, but which, instead of the parallel postulate, satisfy the following opposite property instead:

The projective axiom: Any two lines intersect (in exactly one point).

Monday, November 26, 2007

Gino Fano

Gino Fano (5 January 1871 - 8 November 1952) was an Italian mathematician. He was born in Mantua, Italy and died in Verona, Italy.

Fano worked on projective and algebraic geometry; the Fano plane and Fano varieties are named for him.

Ugo Fano and Robert Fano were his sons.


There are reasons with which I wanted to share information about this gentlemen. What has been written in context of "finite geometry." You must know I am never the expert, but one who aspires to learn what is needed to learn and understand what is happening with regards to model presented by Garrett Lisi.

You must know that my mind thinks in abstract spaces and is involved in a wide range of variables expressed in terms of the dimensional attributes of actions within that space.

Diagram of the Fano plane



In finite geometry, the Fano plane (after Gino Fano) is the projective plane with the least number of points and lines: 7 each.

See: Elements of Finite Geometry

Saturday, November 17, 2007

Self Evident Dimensional Perspective

Where a dictionary proceeds in a circular manner, defining 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 definition. Alain Connes


John Merryman in comment section:
Can they propose these dimensions as anything more then the copyrighted product of their own imagination and not loose control over the idea?


Okay I have a problem with the term "static."

I'll just give you an example of what I am thinking in relation to how we may perceive dimension and then of course, there is a mathematical interpretation of topological spaces that others are better qualified to speak on. How could there be such a geometrical interpretation at such quantum levels.

Is there such thing as "a breakdown of time" within the context of measure? It is my ignorance that separates me from the more educated here, yet it is not without wanting to understand, that I am pushing this point further.

Think about the following concept for a moment.

Savas Dimopoulos:

Here’s an analogy to understand this: imagine that our universe is a two-dimensional pool table, which you look down on from the third spatial dimension. When the billiard balls collide on the table, they scatter into new trajectories across the surface. But we also hear the click of sound as they impact: that’s collision energy being radiated into a third dimension above and beyond the surface. In this picture, the billiard balls are like protons and neutrons, and the sound wave behaves like the graviton.


Here we are given a new look into another dimension? A shift from what is euclidean, to what is now non-euclidean. It is really quite simple to understand "what Einstein did" when we now talk about gravity.




Juan Maldacena:

Strings existing in the five-dimensional space-time can even look point-like when they are close to the boundary. Polchinski and Strassler1 show that when an energetic four-dimensional particle (such as an electron) is scattered from these strings (describing protons), the main contribution comes from a string that is close to the boundary and it is therefore seen as a point-like object. So a string-like interpretation of a proton is not at odds with the observation that there are point-like objects inside it.


While it is abstract, the move to thinking in the new way is important while we are looking at the whole picture.

Albert Einstein

The surface of a marble table is spread out in front of me. I can get from any one point on this table to any other point by passing continuously from one point to a "neighboring" one, and repeating this process a (large) number of times, or, in other words, by going from point to point without executing "jumps." I am sure the reader will appreciate with sufficient clearness what I mean here by "neighbouring" and by "jumps" (if he is not too pedantic). We express this property of the surface by describing the latter as a continuum.Albert Einstein p. 83 of his Relativity: The Special and the General Theory


There are deeper philosophical questions here about being a realist and an anti-realist.?

René Thom

See:Ren̩ Thom:Ren̩ Thom (September 2, 1923 РOctober 25, 2002) was a French mathematician. He made his reputation as a topologist, moving on to aspects of what would be called singularity theory; he became celebrated for one aspect of this latter interest, his work as founder of catastrophe theory (later developed by Christopher Zeeman). He received the Fields Medal in 1958.



Photograph by Paul Halmos

Much emphasis has been placed during the past fifty years on the reconstruction of the geometric continuum from the natural integers, using the theory of Dedekind cuts or the completion of the field of rational numbers. Under the influence of axiomatic and bookish traditions, man perceived in discontinuity the first mathematical Being: "God created the integers and the rest is the work of man." This maxim spoken by the algebraist Kronecker reveals more about his past as a banker who grew rich through monetary speculation than about his philosophical insight. There is hardly any doubt that, from a psychological and, for the writer, ontological point of view, the geometric continuum is the primordial entity. If one has any consciousness at all, it is consciousness of time and space; geometric continuity is in some way inseparably bound to conscious thought.

Wednesday, November 14, 2007

The Ring of Truth

Savas Dimopoulos:Here’s an analogy to understand this: imagine that our universe is a two-dimensional pool table, which you look down on from the third spatial dimension. When the billiard balls collide on the table, they scatter into new trajectories across the surface. But we also hear the click of sound as they impact: that’s collision energy being radiated into a third dimension above and beyond the surface. In this picture, the billiard balls are like protons and neutrons, and the sound wave behaves like the graviton.


On the title it is important to understand what is being implied within the context of this post. What came to mind immediately when Bee wrote"Ring of Truth" in her post, "A Theoretically Simple Exception of Everything." Joseph Weber came to mind.

Joseph Weber 1919 - 2000

Joseph Weber, the accomplished physicist and electrical engineer, has died at the age of 81. Weber's diverse research interests included microwave spectroscopy and quantum electronics, but he is probably best known for his investigations into gravitational waves.

In the late 1950s, Weber became intrigued by the relationship between gravitational theory and laboratory experiments. His book, General Relativity and Gravitational Radiation, was published in 1961, and his paper describing how to build a gravitational wave detector first appeared in 1969. Weber's first detector consisted of a freely suspended aluminium cylinder weighing a few tonnes. In the late 1960s and early 1970s, Weber announced that he had recorded simultaneous oscillations in detectors 1000 km apart, waves he believed originated from an astrophysical event. Many physicists were sceptical about the results, but these early experiments initiated research into gravitational waves that is still ongoing. Current gravitational wave experiments, such as the Laser Interferometer Gravitational Wave Observatory (LIGO) and Laser Interferometer Space Antenna (LISA), are descendants of Weber's original work.

Weber was born in 1919 in Paterson, New Jersey, and graduated in 1940. He spent eight years as an electrical engineer in the US Navy, and was assigned as navigator on the aircraft carrier Lexington during World War II. After his resignation from the Navy in 1948, Weber went on to obtain his PhD in 1951 from the Catholic University of America. He was appointed professor of electrical engineering at the University of Maryland, and he moved into the physics department in 1961 when he began his investigations into gravitational waves.

Weber died on 30 September in Pittsburgh, Pennsylvania. He is survived by his wife, the astrophysicist Virginia Trimble.


Bee writes about "Ring of Truth" from Lee Smolin's book,
"But we are also fairly sure that we do not yet have all the pieces. Even with the recent successes, no idea yet has that absolute ring of truth." p. 255 (US hardcover).


So I pulled this above from Bee's comment blog for further reference. To help make my point about gravitational wave detection and all the kinds of wav(Y)es in which gravity can now be looked at.

So of course it is necessary to include the commentary from Bee's reference too, Garrett Lisi's comment section, to help one see the complex rotations that speaks to all manifestations(geometrical foresight on complex rotations in dimensional spaces), from the origins of all a particle creations to the elemental understanding given in context of the post by Bee.


"With the discovery of sound waves in the CMB, we have entered a new era of precision cosmology in which we can begin to talk with certainty about the origin of structure and the content of matter and energy in the universe-Wayne Hu


Stefan,

Maybe I have a better chance to understand them when their relation to the original post is more than just the word "gravity" in both of them?

Your "toying with the way we see gravitational and gravity waves?" Dealing with the objective world with ancient ideas?

I pointed to the differences.

Plato:Wherever there are no gravitational waves the spacetime is flat. One would have to define these two variances. One from understanding the relation to "radiation" and the other, "to the perfectly spherically symmetric."


But still to see such dynamics in terms of the "mathematical abstract" I see see no reason why you would "lesson my points" on helping one to see these differences in the space around us.

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


So I may point to the ways in which one may synthesized the views of the world in relation to not only "sound" as Kris just talks about, but also about how one may transform that sound "to colour."

3.1 As Cytowic notes, Plato and Socrates viewed emotion and reason as in a kind of struggle, one in which it was vitally important for reason to win out. Aristotle took a more moderate view, that both emotion and reason are integral parts of a complex human soul--a theory proposed by Aristotle in explicit opposition to Platonism (De Anima 414a 19ff). Cytowic appears to endorse the Platonic line, with the notable difference that he would apparently rather have emotion win out.


Cosmic variance may talk about synesthesia yet you cannot stop the changes such understanding brings to the emotive forces that surround earth and us.

Such a shift to bulk perspective is not without it's lessons on progressing the views of gravity in "all situations."

I am not so smart, just that I may see differently then you Stefan. :)

We can't actually hear gravitational waves, even with the most sophisticated equipment, because the sounds they make are the wrong frequency for our ears to hear. This is similar in principle to the frequency of dog whistles that canines can hear, but are too high for humans. The sounds of gravitational waves are probably too low for us to actually hear. However, the signals that scientists hope to measure with LISA and other gravitational wave detectors are best described as "sounds." If we could hear them, here are some of the possible sounds of a gravitational wave generated by the movement of a small body in spiralling into a black hole.


Does anybody really understand what is happening when the conceptual foundation allows new perspective to form? New theories to make their way into challenging the very foundations of our reality?

Every step in the production of the "conceptual framework" is an exercise in how perception is being changed. Can be changed.

There are moderators of all sorts who govern the information that is being written. How one view can be portrayed and sits in contradiction to the way String theory uses E8 is not the reason one might of suspected problems with acceptance here or there.

It s a organizational method on how to respond and place it accordingly. Peter is being paranoid? :)

Monday, November 12, 2007

Where Spacetime is flat?

......A Condensative Result exists. Where "energy concentrates" and expresses outward.

I mean if I were to put on my eyeglasses, and these glasses were given to a way of seeing this universe, why not look at the whole universe bathed in such spacetime fabric?

This a opportunity to get "two birds" with one stone?

I was thinking of Garrett's E8 Theory article and Stefan's here.

On March 31, 2006 the high-resolution gravity field model EIGEN-GL04C has been released. This model is a combination of GRACE and LAGEOS mission plus 0.5 x 0.5 degrees gravimetry and altimetry surface data and is complete to degree and order 360 in terms of spherical harmonic coefficients.

High-resolution combination gravity models are essential for all applications where a precise knowledge of the static gravity potential and its gradients is needed in the medium and short wavelength spectrum. Typical examples are precise orbit determination of geodetic and altimeter satellites or the study of the Earth's crust and mantle mass distribution.

But, various geodetic and altimeter applications request also a pure satellite-only gravity model. As an example, the ocean dynamic topography and the derived geostrophic surface currents, both derived from altimeter measurements and an oceanic geoid, would be strongly correlated with the mean sea surface height model used to derive terrestrial gravity data for the combination model.

Therefore, the satellite-only part of EIGEN-GL04C is provided here as EIGEN-GL04S1. The contributing GRACE and Lageos data are already described in the EIGEN-GL04C description. The satellite-only model has been derived from EIGEN-GL04C by reduction of the terrestrial normal equation system and is complete up to degree and order 150.


How many really understand/see the production of gravitational waves in regards to Taylor and Hulse?

To see Stefan's correlation in terms of "wave production" is a dynamical quality to what is still be experimentally looked for by LIGO?

As scientists, do you know this?

6:41 AM, November 11, 2007
See here

Thus the binary pulsar PSR1913+16 provides a powerful test of the predictions of the behavior of time perceived by a distant observer according to Einstein's Theory of Relativity.


Since we know the theory of Relativity is about Gravity, then how is it the applications can be extended to the way we see "anew" in our world?

A sphere, our earth, not so round anymore.

Uncle has tried to correct me on "isostatic adjustment."

Derek Sears, professor of cosmochemistry at the University of Arkansas, explains. See here

Planets are round because their gravitational field acts as though it originates from the center of the body and pulls everything toward it. With its large body and internal heating from radioactive elements, a planet behaves like a fluid, and over long periods of time succumbs to the gravitational pull from its center of gravity. The only way to get all the mass as close to planet's center of gravity as possible is to form a sphere. The technical name for this process is "isostatic adjustment."

With much smaller bodies, such as the 20-kilometer asteroids we have seen in recent spacecraft images, the gravitational pull is too weak to overcome the asteroid's mechanical strength. As a result, these bodies do not form spheres. Rather they maintain irregular, fragmentary shapes. K. Shumacker. Scientific America


Do not have time to follow up at this moment.

7:02 AM, November 11, 2007
.....and here.


In context of the post and differences, I may not have pointed to the substance of the post, yet I would have dealt with my problem in seeing.

In general terms, gravitational waves are radiated by objects whose motion involves acceleration, provided that the motion is not perfectly spherically symmetric (like a spinning, expanding or contracting sphere) or cylindrically symmetric (like a spinning disk).

A simple example is the spinning dumbbell. Set upon one end, so that one side of the dumbell is on the ground and the other end is pointing up, the dumbbell will not radiate when it spins around its vertical axis but will radiate if it tumbles end-over-end. The heavier the dumbbell, and the faster it tumbles, the greater is the gravitational radiation it will give off. If we imagine an extreme case in which the two weights of the dumbbell are massive stars like neutron stars or black holes, orbiting each other quickly, then significant amounts of gravitational radiation would be given off.


Given the context of the "whole universe" what is actually pervading, if one did not include gravity?



So singularities are pointing to the beginning(i), yet, we do not know if we should just say, the Big Bang, because, one would had to have calculated the energy used and where did it come from "previous" to manifest?

So some will have this philosophical position about "nothing(?)," and "everything as already existing."

Wherever there are no gravitational waves the space time is flat. One would have to define these two variances. One from understanding the relation to "radiation" and the other "perfectly spherically symmetric."

Sunday, November 04, 2007

Dark Matter Issue

We’re faced with the same choices today, with galaxies and clusters playing the role of the Solar System. Except that the question has basically been answered, by observations such as the Bullet Cluster. If you modify gravity, it’s fairly straightforward (although harder than you might guess, if you’re careful about it) to change the strength of gravity as a function of distance. So you can mock up “dark matter” by imagining that gravity at very large distances is just a bit stronger than Newton (or Einstein) would have predicted — as long as the hypothetical dark matter is in the same place as the ordinary matter is.


In Dark Matter Still Existing, Sean Carroll of Cosmic Variance lays the topic out for readers to understand his position on this issue.

An intergalactic collision is providing astronomers with a giant payoff: the first direct evidence of the invisible material that theorists say holds galaxies together and accounts for most of the universe's mass.


CRASH COURSE. This composite image from several observatories and telescopes shows where two clusters of galaxies collided 100 million years ago. The ordinary matter, shown in pink, from the two galaxies collided, whereas the dark matter from each galaxy, shown in purple, passed straight through.
Markevitch, et al., Clowe, et al., Magellan, Univ. of Arizona, CXC, CfA, STScI, ESO WFI, NASA


What is Dark Matter? How Can We Make It in the LaboratoryConclusions
Particle physics is in the midst of a great revolution. Modern data and ideas have challenged long-held beliefs about matter, energy, space and time. Observations have confirmed that 95 percent of the universe is made of dark energy and dark matter unlike any we have seen or touched in our most advanced experiments. Theorists have found a way to reconcile gravity with quantum physics, but at the price of postulating extra dimensions beyond the familiar four dimensions of space and time. As the magnitude of the current revolution becomes apparent, the science of particle physics has a clear path forward. The new data and ideas have not only challenged the old ways of thinking, they have also pointed to the steps required to make progress. Many advances are within reach of our current program; others are close at hand. We are extraordinarily fortunate to live in a time when the great questions are yielding a whole new level of understanding. We should seize the moment and embrace the challenges.


See:What is Dark Matter/Energy?

Saturday, November 03, 2007

Minature Satellites in Space

KC-135 Flight Experiments
The Reduced Gravity Program at NASA's Johnson Space Center provides the unique "weightless" or "zero-g" environment of space flight using a specially modified KC-135A. The KC flies parabolic arcs to produce weightless periods of 20 to 25 seconds. This capability is ideal for the development and verification of space hardware, experiments, crew training and basic research.

Flight tests of the SPHERES testbed onboard NASA's KC-135 accomplished two objectives: (1) establish the functionality of testbed systems and subsystems and (2) perform limited formation flight experiments. Flight experiments were conducted over two separate weeks in early 2000, once in mid-February and again in late March. The time between flights was used to refine operations protocols, improve testbed systems, and develop more complicated experiments using lessons learned from the first week of flights.


There is a always a history to such developments and to me not ever knowing of this process about the spheres, I find it very satisfying to have some "correlation of cognition."

Synchronized Position Hold, Engage, Reorient Experimental Satellites


The MIT Space Systems Laboratory developed the SPHERES (Synchronized Position Hold Engage and Reorient Experimental Satellites) laboratory environment to provide DARPA, NASA, and other researchers with a long term, replenishable, and upgradable testbed for the validation of high risk metrology, control, and autonomy technologies for use in formation flight and autnomous docking, rendezvous and reconfiguration algorithms. These technologies are critical to the operation of distributed satellite and docking missions such as Terrestrial Planet Finder and Orbital Express.



Most would not understand the significance of this posting.

For me it is the correlation of insight that I had in a dream sometime ago, about my future. Most would not of thought that we would be capable as human beings to have this ability, to be able to project people we will become, to a people who are working in relation to what is developing and was developed in this post.

In my dream I am releasing a satellite, a Christmas tree design one without all the bells and lights.

Friday, November 02, 2007

Beauty and Asymmetry

BEHOLDING beauty with the eye of the mind, he will be enabled to bring forth, not images of beauty, but realities, for he has hold not of an image but of a reality, and bringing forth and nourishing true virtue to become the friend of God and be immortal, if mortal man may. Would that be an ignoble life? PLATO


One would have had to understand the idea "behind symmetry realizations" to understand that "asymmetry" could have been found of value?

Over time, people will get a sense of the thinking of Plato, and the way in which I have used his work. "The work of others" to see the way in which Plato may of saw.

This gives one a "starting point" in contrast to today's science, and what is evident from such developments.

I do include the spiritual basis as my "postulate about reality."

Plato said: I then postulate that all things have existed forever. It is only our ignorance of what actually exists in reality that prevents us from understanding the full scope of our understanding of God within context of this reality.

While one may of thought it is purely "abstractedly and mathematical by design," I am saying such thinking is not without the understanding of the asymmetrical relation of symmetry. As well as, "a relationship" to the way in which we deal with this reality.

It is not so unlikely that shadows are cast of all the things in the beginning, that there is a "truer point of expression" still within the context of this universe. Yet, it is universal, that it lies at the basis of reality.

See: Craftsman of Plato

Sunday, October 28, 2007

Work in Progress

A VIEW OF MATHEMATICS 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.


Ideas contained in the "realm of spirituality" are attached to "matter states" and are building, "the pyramidal structure." This is a map of the expression into matter all thing that are born in mind.

......Ideas are spiritually based.....

   
...ideas....
..........
........
......
....
..
/\
/ \
/ \
/ \----base of the pyramid is matter
ideals


These ideals affect the direction of our evolution. They affect our spiritual inclination.

----Ideals are expressions into matter states-----


Earth
------------
| |
| |
| |
| |
------------



With the spiritual inclination already existing, the tip of the pyramid, all matter states and densities there of, contain the essence of this spirituality.

.~-.~-.~-Spirituality and Matter-~.-~.-~.-~.



Spirit and matter combined ----------
. ................. | \ /|
. ~~~~~~~~~~~~~~~~. | \.../ |
.~|-------------|~. | \./ |
.~| |~. | /.\ |
.~| |~. | /...\ |
.~| |~. | / \|
.~| |~. ----------
.~| |~.
.~|-------------|~.
.~~~~~~~~~~~~~~~~~.
. .................
Emotion and the Intellect



~~~emotion~~~~

"The Emotions" are "matter based defined" yet are quite fluid. They can be very restrictive in our perspective of the spiritual world, yet, they are inspirational enough to transform our baser matter to spiritual clarity.

....The intellect....

"The intellect" is a finer form of the matter states, yet, it is closer to the spiritual domain.

See:Please Tell Me What “God” Means

Clifford:
His was the best single sentence summing up the concept, as we were to use it that evening: Intuition is the process of getting to a destination without knowing the route. He also added: Sometimes you did not even know you wanted to get there. I've modified the words a bit, but that's the essence of what he said. It was a definition that was so appreciated, you could hear several audible hhhhmmmmms of recognition from the audience.

Wednesday, October 24, 2007

Euclidean Geometry and the Shadows

Just as some prisoners may escape out into the sun, so may some people amass knowledge and ascend into the light of true reality.The Holographic Principle and M-theory


I am always interested in "the flavour history" gives as we look back in time. If one always looked to the past as they looked at the cosmos what will become of the future? This has be stereotypically been instilled in our humanities thinking. That there is a brighter light that shines and all it's shadows cast are of some "truer reality" then the one that is now.

LIC(Long Island City) Gnomon Header above.

Of course it would not be without understanding certain things about "Plato's character" that I should show how we can deposit "these historical packets of energy" in that history. That it is deeply entrenched in "current sociological thinking" as we make our way through the days of our existence. A kind of "collective unconscious."



As archiac as this "method of measure" may seem, it has captured our fascination in more ways then one.

Plato's cave?

You tend to get this consistency of "historical thought" once one sees the connection?:)Euclid

How could one not perceive geometry at work after seeing what the sun can do in regards to these calendars?

One could of course propose the Egyptian new year, where the dead are placed, in relation to the pyramid, and the design of that history according to the clock, but then ,it may be in contradiction to what is current.

Even more ancient, the Medicine Wheels.




So looking at the blog entry of Stefan of Backreaction, and "Bee's mathematical universe," I would say these are "deeply connected with each other" that I would have to indeed say something.

I see Bee beat me too it.

Q9:"People see all sorts of things when they look at the SUN and Solar Calendars"

Time and how one views the cosmos for sure.

Capturing the understanding of Hooft, Heisenberg and others, you see Stefan working the principals "outside of himself" with his environment. Inside the universe.

Like, how one can "view the cosmos" or how "dimensionality is reduced to the now."

The evidence of "the beginning" is not gone?

The shadows reveal this, and so it reveals the mathematics of this universe.

Or, how the matter of the diamond has it's structure implanted in the mapping of it's features?

Yet, "the mapping" is closer to the beginning, then, the matter is of itself. :)



I expound further in Shadow Dancing in the Light and "The Artist In Us All"