Dialogos of Eide

Picasa Web Albums With a Message

2008-08-20T08:39:00.005-07:00

I wanted to draw attention to a feature that has been added to my blogger site.

If you look over to the right hand side of this blog you will notice a picture slide show that is rotating. I find like the people of blogger initiatives, this one to be worthy of an addition to your site.

One of the things that I found useful is the reorganization feature that one can choose if they want the pictures to appear in an order. One might like to express a point of view? This is still a work in process for me. I have arranged a portion of the beginning, while the rest are random. So organization is taking time. There is redundancy in terms of repeatable pictures. This has been made useful, to drive a point home.

Using blank pictures to create a division, and a introduction to a new round of pictures. Further experimentation on this development will be post as I work through it and find ways to increase flexibility in this medium choice.

I have done this to reinforce some of the perspective that I share here, as well as, point to connections of relevance I found necessary, when thinking in terms of Einstein's world of gravity in General Relativity. As well, our vision of earth as we go through this "evolution of our senses" in regards to the non-euclidean views.

I have reposted some of the directions from "Google Help
Picasa" for others so that they can get an idea of what can be done with this new medium of expression. Some might like the randomness indeed as a collage of experience, while others, might have a message to share.

How can I embed a slideshow into my blog or webpage?
Print

Using Picasa Web Albums you can create a Flash slideshow to embed in your blog or webpage. Each slideshow features built-in playback controls, size options, and the ability to display captions.

To create and embed a slideshow:

1. Sign in to your Google Account for Picasa Web Albums at http://picasaweb.google.com using your Google Account username and password.
2. Click the My Photos link and select the album you'd like to make a slideshow.
3. Click the Embed Slideshow link. This creates a Flash slideshow from the album you've selected. When you update this album, your slideshow is automatically updated to show the latest photos.
4. To embed the slideshow, copy and paste the HTML code that's shown into your blog or webpage.
5. Optional: For information about the slideshow, click the Picasa logo in the lower-right corner.

Tip: Once it's embedded into your blog or site, people viewing your slideshow can click the person icon to go to your public gallery or click Get Your Own to start making their own portable slideshows.

The New Garden of Eden

2008-08-19T06:36:00.010-07:00

Is it more astonishing that a God created all that exists in six days, or that the natural processes of the creative universe have yielded galaxies, chemistry, life, agency, meaning, value, consciousness, culture without a Creator. In my mind and heart, the overwhelming answer is that the truth as best we know it, that all arose with no Creator agent, all on its wondrous own, is so awesome and stunning that it is God enough for me and I hope much of humankind.

BEYOND REDUCTIONISM: REINVENTING THE SACRED

Stuart Alan Kauffman (28 September 1939) is an US American theoretical biologist and complex systems researcher concerning the origin of life on Earth. He is best known for arguing that the complexity of biological systems and organisms might result as much from self-organization and far-from-equilibrium dynamics as from Darwinian natural selection, as well as for proposing the first models of Boolean networks.

Kauffman presently holds a joint appointment at the University of Calgary in Biological Sciences and in Physics and Astronomy, and is an Adjunct Professor in the Department of Philosophy. He is also an iCORE (Informatics Research Circle of Excellence) [1] chair and the director of the Institute for Biocomplexity and Informatics.

BEYOND REDUCTIONISM

See:Reinventing the Sacred: A New View of Science, Reason, and Religion (Hardcover)

Well now, I have followed the work of those whose ultimate destination has been by seeking results from LHC as to the nature of some Higg's field that would bring together an organizational effort to the particle of nature. Now I should be much clearer here just as Stuart Kauffman should.

Higgs Fields

A Higgs field (named after a Scottish physicist Peter Higgs) is a field supposed to be responsible for the genesis of inertial mass (and, because of Einstein's equivalence principle, gravitational mass). When the universe is extremely hot, a Higgs field (which is supposed to have a certain curve of potential energy; as regards the shape of this curve, there is no unique consensus, except for a certain general feature, among the physicists) exerts a wild influence; but we will neglect this here. Once the universe cools down enough, below a certain temerature, the Higgs field assumes a certain value (i.e. a value of the Higgs field) which corresponds to the lowest energy level (i.e. the potential energy is zero, but the value of the Higgs field is nonzero; this level may be called vacuum). And this energy level continues to prevail throughout the whole universe (uniform, nonzero Higgs field).

So here I am alone thinking about this self organization that goes on and I picked out Stuart Kauffman's book because I know that such a view is garnered by the likes of Lee Smolin, that it presents a challenge for me.

Been at it long enough to know there are opposing views and methods to determination that shall judge one's approach as too the "nature of reality." I am not going to go into the definition of this nature of reality but to assume that such a definition will become apparent in the selection of this title and the consequence of choosing Stuart's book. My reasons for expanding here under this title of the new Garden of Eden.

How it it that I could ever compare the very nature of the "Arch Model" to the insightful development of us as participants in the nature of reality that we could shape our destines and not think us less then a participant in this adventure called life.

At 9:15 AM, August 18, 2008, Blogger Plato said...

Experimentally, this became a basis for exploration which implanted experimental choice departures from euclidean space, which is flat.

This was a mathematical adventure of "pure thought" toward the process of interpreting this mathematics in the natural world.

How could one say the experimental process was first when such thought had to exist? It had to already exist in nature for us to test the theorization by definition.

So we emulate the process by experimentation. Oh sweet "spooky action at a distance?"

One should not think that such an avenue of research had not taken me down this road in regards to spooky, that I would not have adventured too, entanglement, or scattering amplitudes, that I would not of looked at Young's experiment and thought about the photon's travel. The combination or how calorimeters have been used to discern this interaction in the decay process.

Has Reductionism run to it's limit?

This is what Stuart Kauffman did not realize when thinking about reductionism or what Robert Laughlin spoke of toward the idea's of self organizational attributes of those things that gather, while we take them apart. It's not that they ever came to a definition of this limit, but tried to explain reductionism away, by the introduction of new ways, new approaches.

The Keystone

ON one side of this arch is an approach to Reductionism, and on the other, is emergence. The keystone, is the Equivalence principal.

First Principals of Quantum Mechanics

2008-08-09T08:28:00.007-07:00

Of course the discussions are leading me to gather my thoughts on things, as they are being spoken too, by Bloggingheads.

A Life of the Genius Ramanujan
by Robert Kanigel

Srinivas Ramanujan (1887-1920)In the past few decades, we have witnessed how Ramanujan's contributions have made such a profound impact on various branches of mathematics. The book, "The man who knew infinity", by Robert Kanigel reached out to the general public the world over by describing the fascinating life story of Ramanujan. And now, in the form of a play, the public is made aware, once again, of this wonderful story. This is a very impressive play and I had the pleasure of seeing it with Prof. George Andrews, the world's greatest authority on Ramanujan's work and on partitions.

I am some what disappointed that Sean Carroll deleted my response to Lawrence Crowell and Rebel dreams.

Lawrence referenced GH Hardy, and I expanded on this in relation to Ramanujan. The point is in regards too pure mathematics. Some might have become offended by my saying "one's God" too imply, that one can idolize and put into stone, graven images of God, yet, this is so far from the truth of my statement that I hope the post I wrote was kept and seen in this light that I am to explain.

Some would never recognize the developmental aspect of a "higher self" and what images that we unconsciously induce to allow this communication within to take place.

It is not the forgetfulness with which one would like to make those graven images and form, "but the realization" that what ever we attach to something being meaningful, becomes meaningful, and pray too, can come through with an extraordinary amount of wisdom.

IN this context I would not judge another human being on the position they hold too in life, as this sets the stage for what is to come. In Ramanujan's case, the information of his mathematics came through in such a form.

My point is that while we build the inductive/deductive application to our "principals of infinite regress" that ultimately such an exercise is reduce too, yes, the mathematical framework that lies very close to that light.

While in relation to creation stories, such responsibility is on the adherence that we adopt to scientific endeavour, with which we place observation and experimentation to understanding what reality is about. I do not advocate irresponsibleness in this regard, but push to rigour that science requires.

The Craftsman

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

Timaeus:

Genesis Timaeus 27c-34a

First then, in my judgment, we must make a distinction and ask, What is that which always is and has no becoming; and what is that which is always becoming and never is? That which is apprehended by intelligence and reason is always in the same state; but that which is conceived by opinion with the help of sensation and without reason, is always in a process of becoming and perishing and never really is. Now everything that becomes or is created must of necessity be created by some cause, for without a cause nothing can be created.

See Timaeus:Laying the Ground rules on Genesis

The Demiurge (Creator)

Literally, “craftsman.” The creator of Plato’s physical world is not a divine intelligence or a personal ruler, but (as it were) a manual laborer. Cf. Vlastos, Plato’s Universe (pp. 26-27):

That the supreme god of Plato’s cosmos should wear the mask of a manual worker is a triumph of the philosophical imagination over ingrained social prejudice. ... But this divine mechanic is not a drudge. He is an artist or, more precisely, what an artist would have to be in Plato’s conception of art: not the inventor of new form, but the imposer of pre-existing form on as yet formless material.

See:

The Man Who Knew Infinity

William Thurston

2008-08-08T06:24:00.011-07:00

Xianfeng David Gu and Shing-Tung Yau
To a topologist, a rabbit is the same as a sphere. Neither has a hole. Longitude and latitude lines on the rabbit allow mathematicians to map it onto different forms while preserving information.

William Thurston of Cornell, the author of a deeper conjecture that includes Poincaré’s and that is now apparently proved, said, “Math is really about the human mind, about how people can think effectively, and why curiosity is quite a good guide,” explaining that curiosity is tied in some way with intuition.

“You don’t see what you’re seeing until you see it,” Dr. Thurston said, “but when you do see it, it lets you see many other things.”

Elusive Proof, Elusive Prover: A New Mathematical Mystery

Some of us are of course interested in how we can assign the relevance to perceptions the deeper recognition of the processes of nature. How we get there and where we believe they come from. As a layman I am always interested in this process, and of course, life's mysteries can indeed be a motivating factor. Motivating my interest about the nature of things that go unanswered and how we get there.

William Paul Thurston

(born October 30, 1946) is an American mathematician. He is a pioneer in the field of low-dimensional topology. In 1982, he was awarded the Fields medal for the depth and originality of his contributions to mathematics. He is currently a professor of mathematics and computer science at Cornell University (since 2003).

There are reasons with which I present this biography, as I did in relation to Poincaré and Klein. The basis of the question remains a philosophical one for me that I question the basis of proof and intuition while considering the mathematics.

Mathematical Induction

Mathematical Induction at a given statement is true of all natural numbers. It is done by proving that the first statement in the infinite sequence of statements is true, and then proving that if any one statement in the infinite sequence of statements is true, then so is the next one.

The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science.

Mathematical induction should not be misconstrued as a form of inductive reasoning, which is considered non-rigorous in mathematics (see Problem of induction for more information). In fact, mathematical induction is a form of deductive reasoning and is fully rigorous.

Deductive reasoning

Deductive reasoning is reasoning which uses deductive arguments to move from given statements (premises), which are assumed to be true, to conclusions, which must be true if the premises are true.[1]

The classic example of deductive reasoning, given by Aristotle, is

* All men are mortal. (major premise)
* Socrates is a man. (minor premise)
* Socrates is mortal. (conclusion)

For a detailed treatment of deduction as it is understood in philosophy, see Logic. For a technical treatment of deduction as it is understood in mathematics, see mathematical logic.

Deductive reasoning is often contrasted with inductive reasoning, which reasons from a large number of particular examples to a general rule.

Alternative to deductive reasoning is inductive reasoning. The basic difference between the two can be summarized in the deductive dynamic of logically progressing from general evidence to a particular truth or conclusion; whereas with induction the logical dynamic is precisely the reverse. Inductive reasoning starts with a particular observation that is believed to be a demonstrative model for a truth or principle that is assumed to apply generally.

Deductive reasoning applies general principles to reach specific conclusions, whereas inductive reasoning examines specific information, perhaps many pieces of specific information, to impute a general principle. By thinking about phenomena such as how apples fall and how the planets move, Isaac Newton induced his theory of gravity. In the 19th century, Adams and LeVerrier applied Newton's theory (general principle) to deduce the existence, mass, position, and orbit of Neptune (specific conclusions) from perturbations in the observed orbit of Uranus (specific data).

Deduction and Induction

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

Back to the lumping in of theology alongside of Atlantis. Rebel dreams, it is hard to remove one's colour once they work from a certain premise. Atheistic, or not.

Seeking such clarity would be the attempt for me, with which to approach a point of limitation in our knowledge, as we may try to explain the process of the current state of the universe, and it's shape. Such warnings are indeed appropriate to me about what we are offering for views from a theoretical standpoint.

The basis presented here is from a layman standpoint while in context of Plato's work, brings some perspective to Raphael's painting, "The School of Athens." It is a central theme for me about what the basis of Inductive and deductive processes reveals about the "infinite regress of mathematics to the point of proof."

Such clarity seeking would in my mind contrast a theoretical technician with a philosopher who had such a background. Raises the philosophical question about where such information is derived from. If ,from a Platonic standpoint, then all knowledge already exists. We just have to become aware of this knowledge? How so?

Lawrence Crowell:

The ball on the Mexican hat peak will under the smallest perturbation or fluctuation begin to fall off the peak, roll into the trough and the universe tunnels out of the vacuum or nothing to become a “something.”

Whether I attach a indication of God to this knowledge does not in any way relegate the process to such a contention of theological significance. The question remains a inductive/deductive process?

I would think philosophers should weight in on the point of inductive/deductive processes as it relates to the search for new mathematics?

Allegory of the Cave

For me this was a difficult task with which to cypher the greater contextual meaning of where such mathematics arose from. That I should implore such methods would seem to be, to me, in standing with the problems and ultimates searches for meaning about our place in the universe. Whether I believe in the "God nature of that light" should hold no atheistic interpretation to my quest for the explanations about the talk on the origins of the universe.

See:

The Sound of Billiard Balls

Mathematical Structure of the Universe

Memories Arise Out of a Equilibrium

2008-08-05T22:43:00.010-07:00

Sean Carroll of Cosmic Variance, California Institute of Technology and David Albert-Columbia UniversityScience Saturday: Time’s Arrow

Some highlights at different spots of the exchange.

How a philosopher of science spends his time (08:34)

David describes his run-in with the “What the Bleep!?” cultists (11:56)

Is good science too disturbing to make good entertainment? (04:46)

Sean and David take on John Horgan’s critique of string theory (10:54)

String theory’s predictive power (or lack thereof) (06:04)

Why is the past so different, in so many ways, from the future? (12:20)

I selected the title for a reason. I will have to go back and record the exact time of this comment as it arises. Time 53:48 David mentions the point about a memory forming out of a equilibrium which not only encompasses the future, but can also include the past.

The integration of a philosophy of science alongside of a person in theoretics seems like a good idea to me. There is something to be said about this language used even though used in the conceptual performance of this collaboration.

Now you must know, that I speak from a position of one that is of discovery about the nature of the mathematics, as I have come to understand it. Yes sure I may cloud the interpretation of the mathematical deduction with the idea of a regress to an ultimate position in mind, that we might compare such relations to what the cosmos is saying and what we are saying about the future and past.

I will not discount the very fabric such psychologies might go too, to develop concept maps themselves, to map the thinking being as to the regress of reason, and it's ultimate fate resting in such a mathematical description.

When I point out the relation to WMAP and the idea of this mathematical relationship, one might see the underlying method with which Sean and David intermingle conceptually. To bring forward a clear and consistent description of what begins and ends in the universe, might mean in relation to the past and future. What it means in relation to the memory that arises

I am looking to define such a shape as well as to the very nature of this universe.

Incompatible Arrows

I link the previous blog entry above for consideration, in line with the topic of this post, so that the "continuance of this position" describes the other half of the talking heads, that Sean Carroll represents.

Sean Carroll has a interesting set of four entires about the backwardness of the arrow of time and how it would appear. This is an interesting exercise for me on how perception about the current direction of the universe could have represented "the Egg before the chicken" scenarios.

Incompatible Arrows, I: Martin Amis
Incompatible Arrows, II: Kurt Vonnegut
Incompatible Arrows, III: Lewis Carroll
Incompatible Arrows, IV: F. Scott Fitzgerald

Chicken or Egg

Illustration from Tacuina sanitatis, Fourteenth century

Reverse chronology — narrating a story, or parts of one, backwards in time — is a venerable technique in literature, going back at least as far as Virgil’s Aeneid. Much more interesting is a story with incompatible arrows of time: some characters live “backwards” while others experience life normally.

Update:

One should be aware that there are a series of bloggingheads up and coming that are being exchanged here.

Sean Carroll

This raises all sorts of questions, the most basic of which are: “What counts as `looking’ vs. `not looking’?” and “Do we really need a separate law of physics to describe the evolution of systems that are being looked at?”

See:Quantum Diavlog

Light House Keeper

2008-08-01T09:07:00.004-07:00

Some will reconsider the effect that is portrayed here in terms of a mirror directed and reflects to one eyes, can cause an unsettling effect because of the focus of the beam.

IN nature such a thing is an everyday occurrence as we catch such glimpses not only here in our everyday lives, but assign them to a cosmological occurrence as well. Now as illusive as the God nature of particles from space, whose energy considerations may be of value, they are very odd to such glimpses contained, and maybe even called "God particles.":)

There is a limit to the knowledge, you have to remember and what is one to do when they invoke such a statement, to realize our knowledge is indeed limited? We theorize and we built gigantic devices for such measures, as to the certainty of our values assigned to those theoretics. It has to appear in some intellectual form before we can say yes they exist and the dependence on measure is what we are willing to build to become such realistic people.

I tend to think such a thing is a "direct connection to to what the event is saying" not only in our lives as the decay process is the effect of all our psychological actions(emotive intellectual or spiritual), it is also the elemental consideration that such constituents are held together by "such a glue" whose measure is affected, and measured, by such a light.

If light bends, what is it we are to saying about the path such a light has travelled that we would say "the light has an energy valuation to it" and such lensing occurs?

The light then, becomes a gravitational indication of the space it travels through?

Black Hole-Powered Jet of Electrons and Sub-Atomic Particles Streams From Center of Galaxy M87

NASA's Hubble Space Telescope Yields Clear View of Optical Jet in Galaxy M87

A NASA Hubble Space Telescope (HST) view of a 4,000 light-year long jet of plasma emanating from the bright nucleus of the giant elliptical galaxy M87. This ultraviolet light image was made with the European Space Agency's Faint Object Camera (FOC), one of two imaging systems aboard HST. This photo is being presented on Thursday, January 16th at the 179th meeting of the American Astronomical Society meeting in Atlanta, Georgia. M87 is a giant elliptical galaxy with an estimated mass of 300 billion suns. Located 52 million light-years away at the heart of the neighboring Virgo cluster of galaxies, M87 is the nearest example of an active galactic nucleus with a bright optical jet. The jet appears as a string of knots within a widening cone extending out from the core of M87. The FOC image reveals unprecedented detail in these knots, resolving some features as small as ten light-years across. According to one theory, the jet is most likely powered by a 3 billion solar mass black hole at the nucleus of M87. Magnetic fields generated within a spinning accretion disk surrounding the black hole, spiral around the edge of the jet. The fields confine the jet to a long narrow tube of hot plasma and charged particles. High speed electrons and protons which are accelerated near the black hole race along the tube at nearly the speed of light. When electrons are caught up in the magnetic field they radiate in a process called synchrotron radiation. The Faint Object Camera image clearly resolves these localized electron acceleration, which seem to trace out the spiral pattern of the otherwise invisible magnetic field lines. A large bright knot located midway along the jet shows where the blue jet disrupts violently and becomes more chaotic. Farther out from the core the jet bends and dissipates as it rams into a wall of gas, invisible but present throughout the galaxy which the jet has plowed in front of itself. HST is ideally suited for studying extragalactic jets. The Telescope's UV sensitivity allows it to clearly separate a jet from the stellar background light of its host galaxy. What's more, the FOC's high angular resolution is comparable to sub arc second resolution achieved by large radio telescope arrays.

See:Hubble Site>

Just to draw further comparison here for consideration in light of this thread I apologize, but it is of importance, just not in that blog posting space.

The significance in our every day life of such a thing "catches the eye,"( thanks again Paul in regards to Snowboarders.) and we do not realize it. To find such cosmological comparisons is really interesting in the unfolding of the events. How significant?

We see a pulsar, then, when one of its beams of radiation crosses our line-of-sight. In this way, a pulsar is like a lighthouse. The light from a lighthouse appears to be "pulsing" because it only crosses our line-of-sight once each time it spins. Similarly, a pulsar "pulses" because we see bright flashes every time the star spins.

See: Pulsars

See Also:Pulsars and Cerenkov Radiation

So What Did I mean By Olympics?

Smoky Comes to Visit Again

2008-07-29T20:56:00.007-07:00

We built a patio to the one side of the house that allows us to watch the birds feed, and some of these pictures I have shown on this site. We found that quite a variety were coming as long.

While the birds still do come, the squirrel population is doing well, as they come to these feeders. It seems to attract our friend Smokey too.

This is a black bear, and you wouldn't know it. My wife shot this photo, as I was talking to her from work. The cub was apparently interested on what was inside the house. Good thing the patio doors were not left open like we usually do.

The interesting thing was the bear was actually coming to the patio window to have a look inside, and at one point actually stood on the house with it's front paws while leaning against it.

This is the little bears second season.

Not fifteen minutes before this little one showed up, my wife seen a Mother bear and her cub. It was obvious that Smoky was causing some distraction for the mother as the cub was chased up a tree.

The Inconceivable being Believable

2008-07-28T05:43:00.009-07:00

While string theory does not, at this point, predict our world, it can at the very least plausibly encompass it. No other theory has been shown to do that. Aaron Bergman's book review of Peter Woit's

I think there is always an upper limit with which we can assign "our beliefs" and when given a set of tools with which to assess our current situations in science, we learn that what was once "inconceivable" can now be believable.

So having assumed "this set of tools and the analysis's of the beauty" and it's allure, one can move forward, as I have, based on these premises. To take it into the world we know and operate in. Indeed, how fragile a "house of Glass."

While "this view" of myself is inclined to a metaphysical point of view, and less then adequate to the valuations of science, I can be thought of, "as less then," and sent to the exclusions of the evaluation that science demands. This does not change "my philosophical point of view." We know what science thinks of this too.:)

The Inconceivable

This enlightenment experience is a realization about the nature of the mind which entails recognizing it (in a direct, experiential way) as liminocentrically organized. The overall structure is paradoxical, and so the articulation of this realization will 'transcend' logic - insofar as logic itself is based on the presumption that nested sets are not permitted to loop back on themselves in a non-heirarchical manner. 11

I have over my time researching the process here in science, learn to see the scientists in one form or another, equate themself according to the "peak realization and beyond" as something either God like, or, the allure of the "not believable."

To me such a "systemic behaviour" can cause outward afflictions to the associates in science. These are less then wanting in regards to characterization. A religiosity's appeal to the beyond, whether atheistic as a position or not. This must be perceived as either being realistic, or felt wanting for, as an adherence to the ethics and morality of science.

The Believable

Has become something more then the topic of string theory itself. While we think about the issue in regard to science's pursuance, this has been deterred by other issues, as I relate them in regards too, "the Conceivable and the not Believable."

The Inconceivable being Believable

Anomaly and the Emergence of Scientific Discoveries[/b] Kuhn now moves past his initial topic of paradigm to scientific discovery saying that in order for there to be a discovery, an anomaly must be detected within the field of study. He discusses several different studies and points out the anomaly that invoked the scientific discovery. Later in the chapter he begins to discuss how the anomaly can be incorporated into the discovery to satisfy the scientific community.

There are three different characteristics of all discoveries from which new sorts of phenomena emerge. These three characteristics are proven through an experiment dealing with a deck of cards. The deck consisted of anomalous cards (e.g. the red six of spades shown on the previous page) mixed in with regular cards. These cards were held up in front of students who were asked to call out the card they saw, and in most cases the anomaly was not detected.

I of course weight the relations and counterpoints held by Steven Weinberg in this case. I would rather think about the "essence of observation here" rather then the foundational ideas exemplified by the whole issue of paradigm change.

The Revolution that Didn't Happen by Steven Weinberg

I first read Thomas Kuhn's famous book The Structure of Scientific Revolutions1 a quarter-century ago, soon after the publication of the second edition. I had known Kuhn only slightly when we had been together on the faculty at Berkeley in the early 1960s, but I came to like and admire him later, when he came to MIT. His book I found exciting.

Evidently others felt the same. Structure has had a wider influence than any other book on the history of science. Soon after Kuhn's death in 1996, the sociologist Clifford Geertz remarked that Kuhn's book had "opened the door to the eruption of the sociology of knowledge" into the study of the sciences. Kuhn's ideas have been invoked again and again in the recent conflict over the relation of science and culture known as the science wars.

So we come to the real topic here. How one opens the door to what is considered "beyond." I will only point to the previous persons who have allowed themself the freedoms to move from a position of the inconceivable, who have worked the process in science, and come up with an idealization of what they have discovered. What it means to them now, as they assume this new "paradigm change," to the way the work had always seemed to them.

I will point to the "airs with which such transitions" take place that the environment is conducive to such journeys, that the place selected, could be the most idealistic in terms of where one may feel that their creativity is most aptly felt to themselves. Of course such issues as to the temperances of such creativity is always on my mind too, yet it is of essence that life be taken care of, and that such nurturing understand that the best of society is always the luxuries with which we can assign happiness? Then these in society become the grandeur of art and culture to become, the freedoms of expression, while there is always this struggle to survive.

Gran Sasso and the Pyramid

2008-07-27T06:27:00.009-07:00

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

This summer, CERN gave the starting signal for the long-distance neutrino race to Italy. The CNGS facility (CERN Neutrinos to Gran Sasso), embedded in the laboratory's accelerator complex, produced its first neutrino beam. For the first time, billions of neutrinos were sent through the Earth's crust to the Gran Sasso laboratory, 732 kilometres away in Italy, a journey at almost the speed of light which they completed in less than 2.5 milliseconds. The OPERA experiment at the Gran Sasso laboratory was then commissioned, recording the first neutrino tracks.

Now of course most of you know the namesake with which I use to explain, is an aspect of the development of what are "shadows" to many of us, also, reveal a direction with which we know is "illuminated." We are streaming with the "decay path" all the while there is a sun behind us that shines.

Now it is always an interesting thing for me to know that secret rooms can be illuminated, given the right piece of equipment to do the job. Somethings that will stop the process, and others, that go on to give indications of which these "massless particles" can travel.

But no where is the penetration of the pyramidal model more apparent to me, is when it is used to explain the "rise of the colour theory" used on this site, to explain the nature of emotive sufferings, and it's ascensions, with which we can place the "colour of gravity" to it's rightful place. While one can discern the patterns in an ancient philosophical game of chance, what use to explain the underlying structure of abstraction, as we peer into the materiality of the object of this post? Do you know it's inherent geometrical nature, as an expression?

Maybe, this is the Plato in me? Not a criminal "who hides" having perpetrated crimes against humanity, spouting a philosophy that some would pretend hides behind "the garb" of some "quantum cosmology?"

Yes, no where is this measurable in nature at this time, other then to know that a philosophical position is being adopted. It may allow one to understand the brain's workings, alongside of the fluids that emotively run through our bodies. The "eventual" brain development toward it's evolutionary discourse, with the matter distinctions becoming apparent in the brain's structure, may be greatly enhanced in our futures?

This is what is progressive to me about the work of Kip Thorne and Archibald Wheeler, as we look at the experimental processes of gravitational waves and the like, in LIGO. Is this proof of the gravitational waves? Is this proof of the Geon denoted by Wheeler to express, or the bulk, teaming with the gravitons?

An event in the cosmos, allows us, while standing in the decay path of the expression, and as we turn with it, to know that a source can initiate, and allows us to see it's disintegration.

WE are concerned with all the matter distinctions, while beyond this, is the expression of these schematically drawn rooms of energy, as we particularize them into neat boxes(things) for our entangled views, and loss of sight?

To me, such a sun exists at our centres and such analogies, as I have drawn them here is to recognize that such a "heliocentric view" is not the idea behind our observations of the ego distinctions about self in the world, but a recognition of our connection to what pervades all of us, and connects us.

Now this path streams onwards, no different then in the way we move into the materiality of the world we live in. While of course you see the bodies of our expression. You see the "emotive functionings" on our faces, primitive as it can be, as well as, the intellectual abstraction that is part of the inherent pattern of that expression into materiality. The "sun still shines" from that deeper place inside.

Secrets of the PyramidsIn a boon for archaeology, particle physicists plan to probe ancient structures for tombs and other hidden chambers. The key to the technology is the muon, a cousin of the electron that rains harmlessly from the sky.

I am Lost/Not Lost

While the descent into the matters, one tends to loose sight of what is happening around them. Such a thing is the human part of us, as we think we are in the moment.

While one may think they are in this "way station" it is ever the spot that we assign ourselves with or selections and happenings that we are connected too, in ways that are never understood, or looked for, as we progress these views about the reality we live in?

How much farther is our eyesight granted into the materiality of things as we progress ever deeper into nature's structure, to think, this will bring us ever closer to that sun that shines inside?

Lost souls were given directions in the manuals of the ancients to decipher this relationship with the world we live in, so that the understanding about perplexing paradigms that ensue the mind, may be set, "to live life" not to experience it's death. But to prepare that life beyond the limitations with which we assign our perception according to these material things.

Is the LHC Leaking Energy?

2008-07-26T07:53:00.004-07:00

This is not to bring "the doom and gloom of micro blackhole creation" into the picture although I do see that the QGP arrived at can bring other perspectives forward, that would relegate questions to my mind.

For instance.

So to be clear then, the QGP is relativistic. This I understood already.

This to me was an indication of string theories work to bring a GUT to the process. Of course I speculate. I am also speculating on the "loss of energy" in the collider process.

MIT physicists create new form of matter by Lori Valigra, Special to MIT News Office June 22, 2005

"In superfluids, as well as in superconductors, particles move in lockstep. They form one big quantum-mechanical wave," explained Ketterle. Such a movement allows superconductors to carry electrical currents without resistance.

To cool it, brings the "same process," as to the condition extended to the QGP? This is the point I am trying to make. If they are aligned?

Now the quote above was addressed for clarification, and was caught by a spam filter. So the answer may or may not be forth coming.

As a common folk, I am asking the question from one of ignorance, and would of course like an answer . It is not my wish to "propagate the untruthfulness" that any good scientist would wish to find deteriorates the quality of our current scientific endeavours as a society.

The Extra Dimensions in the LHC

2008-07-25T07:43:00.008-07:00

String Theorists, for a million bucks, do you think you can answer "the question" and it's applicability?

Now it should be clear here that while I speak of extra dimensions I am referring to that energy that is not accountable, "after the collision process and particle identifications have been calculated."

For the first time the LHC reaches temperatures colder than outer space

Geneva, 10 April 2007. The first sector of CERN1's Large Hadron Collider (LHC) to be cooled down has reached a temperature of 1.9 K (–271°C), colder than deep outer space! Although just one-eighth of the LHC ring, this sector is the world’s largest superconducting installation. The entire 27–kilometre LHC ring needs to be cooled down to this temperature in order for the superconducting magnets that guide and focus the proton beams to remain in a superconductive state. Such a state allows the current to flow without resistance, creating a dense, powerful magnetic field in relatively small magnets. Guiding the two proton beams as they travel nearly the speed of light, curving around the accelerator ring and focusing them at the collision points is no easy task. A total of 1650 main magnets need to be operated in a superconductive state, which presents a huge technical challenge. "This is the first major step in the technical validation of a full-scale portion of the LHC," explained LHC project leader Lyndon Evans.

There are three parts to the cool down process, with many tests and intense checking in between. During the first phase, the sector is cooled down to 80 K, slightly above the temperature of liquid nitrogen. At this temperature the material will have seen 90% of the final thermal contraction, a 3 millimetre per metre shrinkage of steel structures. Each of the eight sectors is about 3.3 kilometres long, which means shrinkage of 9.9 metres! To deal with this amount of shrinkage, specific places have been designed to compensate for it, including expansion bellows for piping elements and cabling with some slack. Tests are done to make sure no hardware breaks as the machinery is cooled.

The second phase brings the sector to 4.5 K using enormous refrigerators. Each sector has its own refrigerator and each of the main magnets is filled with liquid helium, the coolant of choice for the LHC because it is the only element to be in a liquid state at such a low temperature.

The final phase requires a sophisticated pumping system to help bring the pressure down on the boiling Helium and cool the magnets to 1.9 K. To achieve a pressure of 15 millibars, the system uses both hydrodynamic centrifugal compressors operating at low temperature and positive-displacement compressors operating at room temperature. Cooling down to 1.9 K provides greater efficiency for the superconducting material and helium's cooling capacity. At this low temperature helium becomes superfluid, flowing with virtually no viscosity and allowing greater heat transfer capacity.

“It's exciting because for more than ten years people have been designing, building and testing separately each part of this sector and now we have a chance to test it all together for the first time,” said Serge Claudet, head of the Cryogenic Operation Team. For more information and to see regular updates, see http://lhc.web.cern.ch/lhc/.

The conditions are now established to allow testing of all magnets in this sector to their ultimate performance.

I am not going to go into the relevance here but to describe how "I speculate" the "extra energy is lost" while delivering the expected results of the LHC microscope in it's efforts.

This is based on the Navier–Stokes existence and smoothness that "may be" responsible for this loss. The understanding as I have come to see it is that the QGP by it's very nature is conclusively reached it total state, and that by reaching it, it brought in line, with the Superconductors relations. The principal here that a relativistic conditon is arrived at in the super fluid condition that I perceive is, in relation to the aspect of the Helium used to cool the LHC

Navier-Stokes Equation

Waves follow our boat as we meander across the lake, and turbulent air currents follow our flight in a modern jet. Mathematicians and physicists believe that an explanation for and the prediction of both the breeze and the turbulence can be found through an understanding of solutions to the Navier-Stokes equations. Although these equations were written down in the 19th Century, our understanding of them remains minimal. The challenge is to make substantial progress toward a mathematical theory which will unlock the secrets hidden in the Navier-Stokes equations.

Jung Typology Test

2008-07-22T22:41:00.007-07:00

Take the Test here.

* Your type formula according to Carl Jung and Isabel Myers-Briggs typology along with the strengths of the preferences
* The description of your personality type
* The list of occupations and educational institutions where you can get relevant degree or training, most suitable for your personality type - Jung Career Indicator™

About 4 Temperaments

So you acquiescence to systemic methods in which to discern your "personality type." You wonder what basis this system sought to demonstrate, by showing the value of these types? So why not look? Which temperament do you belong too?

Idealist Portrait of the Counselor (INFJ)

Counselors have an exceptionally strong desire to contribute to the welfare of others, and find great personal fulfillment interacting with people, nurturing their personal development, guiding them to realize their human potential. Although they are happy working at jobs (such as writing) that require solitude and close attention, Counselors do quite well with individuals or groups of people, provided that the personal interactions are not superficial, and that they find some quiet, private time every now and then to recharge their batteries. Counselors are both kind and positive in their handling of others; they are great listeners and seem naturally interested in helping people with their personal problems. Not usually visible leaders, Counselors prefer to work intensely with those close to them, especially on a one-to-one basis, quietly exerting their influence behind the scenes.

ounselors are scarce, little more than one percent of the population, and can be hard to get to know, since they tend not to share their innermost thoughts or their powerful emotional reactions except with their loved ones. They are highly private people, with an unusually rich, complicated inner life. Friends or colleagues who have known them for years may find sides emerging which come as a surprise. Not that Counselors are flighty or scattered; they value their integrity a great deal, but they have mysterious, intricately woven personalities which sometimes puzzle even them.

Counselors tend to work effectively in organizations. They value staff harmony and make every effort to help an organization run smoothly and pleasantly. They understand and use human systems creatively, and are good at consulting and cooperating with others. As employees or employers, Counselors are concerned with people's feelings and are able to act as a barometer of the feelings within the organization.

Blessed with vivid imaginations, Counselors are often seen as the most poetical of all the types, and in fact they use a lot of poetic imagery in their everyday language. Their great talent for language-both written and spoken-is usually directed toward communicating with people in a personalized way. Counselors are highly intuitive and can recognize another's emotions or intentions - good or evil - even before that person is aware of them. Counselors themselves can seldom tell how they came to read others' feelings so keenly. This extreme sensitivity to others could very well be the basis of the Counselor's remarkable ability to experience a whole array of psychic phenomena.

When you "discover a symbol" as indicated in the wholeness definition presented below, you get to understand how far back we can go in our discoveries. While I talk of Mandalas, I do for a reason. While I talk of the inherent nature of "this pattern" at the very essence of one's being, this then lead me to consider the mathematical relations and geometries that become descriptive of what we may find in nature with regards to the geometric inclinations to a beginning to our universe? How nice?

Wholeness. A state in which consciousness and the unconscious work together in harmony. (See also self.)

Although "wholeness" seems at first sight to be nothing but an abstract idea (like anima and animus), it is nevertheless empirical in so far as it is anticipated by the psyche in the form of spontaneous or autonomous symbols. These are the quaternity or mandala symbols, which occur not only in the dreams of modern people who have never heard of them, but are widely disseminated in the historical records of many peoples and many epochs. Their significance as symbols of unity and totality is amply confirmed by history as well as by empirical psychology.[The Self," ibid., par. 59.]

Evolutionary Game Theory

2008-07-22T07:17:00.009-07:00

This of course was first introduced to me by the show called a Beautiful Mind. It is about the story of John Nash

It is true such mathematics could seem cold and austere. Realizing the complexity of emotive and intellectual pursuances, on how such a gathering can be conducive to propelling society forward with the idealizations developed by looking within self.

Something inherent, "as a pattern" within our nature?

So self discovery and journaling become a useful tool, when all of life's events can be "different from day today."

Emotive reactive mental changes, arising from some inherent understanding as a constituent of that group? Intellectual mathematical embracing to new societal futures? Knowledge. To become aware.I thought it better to remove from the comment lineup at Bee's.

Backreaction: Openness in Science posting is linked here to show dynamical behaviour that has a basis with which to consider. The fundamental constituent of each individual by contribution can change the whole dynamics of society "by adding value" from the context of self, it's idealizations, which can become an operative function of that society as a whole.

It was a "early recognition" for me as my pursuance to understand "mathematical relations" which can be drawn at the basis of society, our being, and it's commutative organizational faculties. These of course helped me to recognize that not only psychological models can be drawn, but that these dynamics could have been expanded upon by such diagrams, to illustrate, the patterns inherent in our natures and conduct toward other people.

Now without understanding the evolution of the philosophy which I had developed along side of my everyday thinking, what use to mention emotive or abstraction nature of the mind if it cannot find it's relations to the physiological functions of the human body and brain?

Game Theory

Game theory is the study of the ways in which strategic interactions among rational players produce outcomes with respect to the preferences (or utilities) of those players, none of which might have been intended by any of them. The meaning of this statement will not be clear to the non-expert until each of the italicized words and phrases has been explained and featured in some examples. Doing this will be the main business of this article. First, however, we provide some historical and philosophical context in order to motivate the reader for all of this technical work ahead......

6. Evolutionary Game Theory

has recently felt justified in stating baldly that "game theory is a universal language for the unification of the behavioral sciences." This may seem an extraordinary thing to say, but it is entirely plausible. Binmore (1998, 2005a) has modeled social history as a series of convergences on increasingly efficient equilibria in commonly encountered transaction games, interrupted by episodes in which some people try to shift to new equilibria by moving off stable equilibrium paths, resulting in periodic catastrophes. (Stalin, for example, tried to shift his society to a set of equilibria in which people cared more about the future industrial, military and political power of their state than they cared about their own lives. He was not successful; however, his efforts certainly created a situation in which, for a few decades, many Soviet people attached far less importance to other people's lives than usual.) Furthermore, applications of game theory to behavioral topics extend well beyond the political arena.

While I have always pushed to indicate the very idea that "mathematical organization" exists at the very fundamental levels of our being, this would not mean much to person in society who goes about their lives living the mundane. Without considerations of a larger context at play in society while ever recognizing the diversity that such probabilities such actions can take when groups of individuals gather together in this communicative relationship of chance and change.

This Nobel Prize award was of interest to me.

The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2007

"for having laid the foundations of mechanism design theory"

Leonid Hurwicz

Eric S.Maskin

Roger B. Myerson

I first started to come to the conclusion in regards to the "social construct" and the relationship it had to the mathematical environmental when I saw the movie, "The Beautiful Mind." It was based on the story of John Nash.

A Theory is Born

This science is unusual in the breadth of its potential applications. Unlike physics or chemistry, which have a clearly defined and narrow scope, the precepts of game theory are useful in a whole range of activities, from everyday social interactions and sports to business and economics, politics, law, diplomacy and war. Biologists have recognized that the Darwinian struggle for survival involves strategic interactions, and modern evolutionary theory has close links with game theory.

Game theory got its start with the work of John von Neumann in the 1920s, which culminated in his book with Oskar Morgenstern. They studied "zero-sum" games where the interests of two players were strictly opposed. John Nash treated the more general and realistic case of a mixture of common interests and rivalry and any number of players. Other theorists, most notably Reinhard Selten and John Harsanyi who shared the 1994 Nobel Memorial Prize with Nash, studied even more complex games with sequences of moves, and games where one player has more information than others.

It is important to keep present the work in science that is ongoing so one sees the consistency with which this process has been unfolding and is part of what awareness does not take in with our everyday life.

How a simple mathematic formula is starting to explain the bizarre prevalence of altruism in society Why do humans cooperate in things as diverse as environment conservation or the creation of fairer societies, even when they don’t receive anything in exchange or, worst, they might even be penalized?

See:

Inside the Mathematical Universe

Loosing Sight of Discrete Geometry

2008-07-18T05:29:00.008-07:00

Discrete mathematics, also called finite mathematics or decision mathematics, is the study of mathematical structures that are fundamentally discrete in the sense of not supporting or requiring the notion of continuity. Objects studied in finite mathematics are largely countable sets such as integers, finite graphs, and formal languages.

Discrete mathematics has become popular in recent decades because of its applications to computer science. Concepts and notations from discrete mathematics are useful to study or describe objects or problems in computer algorithms and programming languages. In some mathematics curricula, finite mathematics courses cover discrete mathematical concepts for business, while discrete mathematics courses emphasize concepts for computer science majors.

For me this becomes the question that is highlighted in bold as to such a thing as discrete mathematics being suited to the nature of the Quark Gluon Plasma that we would say indeed that "all the discreteness is lost" when the energy becomes to great?

Systemically the process while measured in "computerization techniques" this process is one that I see entrenched at the PI Institute, as to holding "this principal" as to the nature of the PI's research status.

Derek B. Leinweber's Visual QCD* Three quarks indicated by red, green and blue spheres (lower left) are localized by the gluon field.

* A quark-antiquark pair created from the gluon field is illustrated by the green-antigreen (magenta) quark pair on the right. These quark pairs give rise to a meson cloud around the proton.

* The masses of the quarks illustrated in this diagram account for only 3% of the proton mass. The gluon field is responsible for the remaining 97% of the proton's mass and is the origin of mass in most everything around us.

* Experimentalists probe the structure of the proton by scattering electrons (white line) off quarks which interact by exchanging a quantum of light (wavy line) known as a photon.

Now indeed for me, thinking in relation to the 13th Sphere I would have to ask how and when we loose focus on that discreteness)a particle or a wave?). I now ask that what indeed is the fluidity of the Gluon plasma that we see we have lost the "discrete geometries" to the subject of "continuity?"

So the question for me then is that if such a case presents itself in these new theoretical definitions, as pointed out in E8, how are we ever to know that such a kaleidescope will have lost it's distinctive lines?

This would require a change in "math type" that we present such changes to consider the topologies in expression(this fluidity and continuity), in relation to how we see the QCD in developmental aspects.

In a metric space, it is equivalent to consider the neighbourhood system of open balls centered at x and f(x) instead of all neighborhoods. This leads to the standard ε-δ definition of a continuous function from real analysis, which says roughly that a function is continuous if all points close to x map to points close to f(x). This only really makes sense in a metric space, however, which has a notion of distance.

Note, however, that if the target space is Hausdorff, it is still true that f is continuous at a if and only if the limit of f as x approaches a is f(a). At an isolated point, every function is continuous.

13th Sphere of the GreenGrocer

2008-07-17T20:08:00.013-07:00

I suppose you are two fathoms deep in mathematics,
and if you are, then God help you, for so am I,
only with this difference,
I stick fast in the mud at the bottom and there I shall remain.
-Charles Darwin

How nice that one would think that, "like Aristotle" Darwin held to what "nature holds around us," that we say that Darwin is indeed grounded. But, that is a whole lot of water to contend with, while the ascent to land becomes the species that can contend with it's emotive stability, and moves the intellect to the open air. One's evolution is hard to understand in this context, and maybe hard for those to understand the math constructs in dialect that arises from such mud.

For me this journey has a blazon image on my mind. I would not say I am a extremely religious type, yet to see the image of a man who steps outside the boat of the troubled apostles, I think this lesson all to well for me in my continued journey on this earth to become better at what is ancient in it's descriptions, while looking at the schematics of our arrangements.

How far back we trace the idea behind such a problem and Kepler Conjecture is speaking about cannon balls. Tom Hales writes,"Nearly four hundred years ago, Kepler asserted that no packing of congruent spheres can have a density greater than the density of the face-centered cubic packing."

Kissing number problem

In three dimensions the answer is not so clear. It is easy to arrange 12 spheres so that each touches a central sphere, but there is a lot of space left over, and it is not obvious that there is no way to pack in a 13th sphere. (In fact, there is so much extra space that any two of the 12 outer spheres can exchange places through a continuous movement without any of the outer spheres losing contact with the center one.) This was the subject of a famous disagreement between mathematicians Isaac Newton and David Gregory. Newton thought that the limit was 12, and Gregory that a 13th could fit. The question was not resolved until 1874; Newton was correct.[1] In four dimensions, it was known for some time that the answer is either 24 or 25. It is easy to produce a packing of 24 spheres around a central sphere (one can place the spheres at the vertices of a suitably scaled 24-cell centered at the origin). As in the three-dimensional case, there is a lot of space left over—even more, in fact, than for n = 3—so the situation was even less clear. Finally, in 2003, Oleg Musin proved the kissing number for n = 4 to be 24, using a subtle trick.[2]

The kissing number in n dimensions is unknown for n > 4, except for n = 8 (240), and n = 24 (196,560).[3][4] The results in these dimensions stem from the existence of highly symmetrical lattices: the E8 lattice and the Leech lattice. In fact, the only way to arrange spheres in these dimensions with the above kissing numbers is to center them at the minimal vectors in these lattices. There is no space whatsoever for any additional balls.

So what is the glue that binds all these spheres in in the complexities that they are arrange in the dimensions and all that we shall have describe gravity along with the very nature of the particle that describe the reality and makeup that we have been dissecting with the collision process?

As with good teachers, and "exceptional ideas" they are those who gather, as if an Einstein crosses the room, and for those well equipped, we like to know what this energy is. What is it that describes the nature of such arrangements, that we look to what energy and mass has to say about it's very makeup and relations. A crystal in it's molecular arrangement?

Look's like grapefruit to me, and not oranges?:)

Symmetry's physical dimension by Stephen Maxfield

Each orange (sphere) in the first layer of such a stack is surrounded by six others to form a hexagonal, honeycomb lattice, while the second layer is built by placing the spheres above the “hollows” in the first layer. The third layer can be placed either directly above the first (producing a hexagonal close-packed lattice structure) or offset by one hollow (producing a face-centred cubic lattice). In both cases, 74% of the total volume of the stack is filled — and Hales showed that this density cannot be bettered.....

In the optimal packing arrangement, each sphere is touched by 12 others positioned around it. Newton suspected that this “kissing number” of 12 is the maximum possible in 3D, yet it was not until 1874 that mathematicians proved him right. This is because such a proof must take into account all possible arrangements of spheres, not just regular ones, and for centuries people thought that the extra space or “slop” in the 3D arrangement might allow a 13th sphere to be squeezed in. For similar reasons, Hales’ proof of greengrocers’ everyday experience is so complex that even now the referees are only 99% sure that it is correct....

Each sphere in the E8 lattice is surrounded by 240 others in a tight, slop-free arrangement — solving both the optimal-packing and kissing-number problems in 8D. Moreover, the centres of the spheres mark the vertices of an 8D solid called the E8 or “Gosset” polytope, which is named after the British mathematician Thorold Gosset who discovered it in 1900.

Coxeter–Dynkin diagram

The following article is indeed abstract to me in it's visualizations, just as the kaleidescope is. The expression of anyone of those spheres(an idea is related) in how information is distributed and aligned. At some point in the generation of this new idea we have succeeded in in a desired result, and some would have "this element of nature" explained as some result in the LHC?

A while ago I related Mendeleev's table of elements, as an association, and thought what better way to describe this new theory by implementing "new elements" never seen before, to an acceptance of the new 22 new particles to be described in a new process? There is an "inherent curve" that arises out of Riemann's primes, that might look like a "fingerprint" to some. Shall we relate "the sieves" to such spaces?

At some point, "this information" becomes an example of a "higher form "realized by it's very constituents and acceptance, "as a result."

Math Will Rock Your World by Neal Goldman

By the time you're reading these words, this very article will exist as a line in Goldman's polytope. And that raises a fundamental question: If long articles full of twists and turns can be reduced to a mathematical essence, what's next? Our businesses -- and, yes, ourselves.