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

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?

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?

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.

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?

Melancholia Magic Square

The most famous 4 x 4 magic square is the so-called Melancholia magic square. In 1514, Albrecht Dürer used the square in his engraving Melancholie which depicts the indecision of the intellectual. The two numbers, 15 and 14, in the centre of the bottom row date the engraving.

This image above I have discussed before in this website. It is also in the legend on the right hand side of this web page.

See:Number Patterns-Fun with Curves & Topology-Jill Britton

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).

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

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:René Thom:René Thom (September 2, 1923 – October 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.