Sunday, March 25, 2007

Heralded from the 21st Century: String Theory

I know not how, may find their way to the minds of humanity in Some Dimensionality, and may stir up a race of rebels who shall refuse to be confined to limited Dimensionality." from Flatland, by E. A. Abbott


It is sometimes important to know what race of rebels had been raised to realize that such a revolution in the making had started from a place of thinking that many others
began to think about as well?

Cycle of Birth, Life, and Death-Origin, Indentity, and Destiny by Gabriele Veneziano

In one form or another, the issue of the ultimate beginning has engaged philosophers and theologians in nearly every culture. It is entwined with a grand set of concerns, one famously encapsulated in an 1897 painting by Paul Gauguin: D'ou venons-nous? Que sommes-nous? Ou allons-nous? "Where do we come from? What are we? Where are we going?"
See here for more information.

It is important to know where such models began to influence the idea to generate theoretical model for an apprehension of how we view this universe? Given the study at hand here are the following people for consideration.

Whence began this journey and revolution?

LEONARD SUSSKIND:

And I fiddled with it, I monkeyed with it. I sat in my attic, I think for two months on and off. But the first thing I could see in it, it was describing some kind of particles which had internal structure which could vibrate, which could do things, which wasn't just a point particle. And I began to realize that what was being described here was a string, an elastic string, like a rubber band, or like a rubber band cut in half. And this rubber band could not only stretch and contract, but wiggle. And marvel of marvels, it exactly agreed with this formula.
I was pretty sure at that time that I was the only one in the world who knew this.


So we have to take stock of the movements that change democratic societies. To have found such governments will change and fall according to the plight of it's citizens in science. As it goes with "theoretical positions?"

Working to understand the development of the model in consideration was needed in order for one to understand why Lee Smolin methodology to work science from a historical perspective is one I favour as well. It is sometimes necessary to list these developmental phases in order to get to a position to speak with authority. Find that "with certainty" we can make certain comments? Find, we must be confronted again, to say, any progress will go from There.

The Revolution that Didn't Happen by Steven Weinberg

I first read Thomas Kuhn's famous book The Structure of Scientific Revolutions 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 know where the idea of science wars began do we not? What instigates conflict as a healthy perspective to progress of the sciences. We will see the story unfold within this blog.

For some reason people might of thought my views were just held to Lee Smolin and the work that I had been accumulating with regards to his views of the Universe. While I had shown the cover of his book countless times, I would like to say that I have accumulated "other books," like those of Brian Greene as well.

Does this make me an expert on the subject in question or what ever Lee Smolin has written? Of course not.

But the work I have been doing, has not been limited to what the authors themself have given to the public in their outreach writing books. I have been at this a few years now, so I would like people to think this is not just a jaunt of journalism, that has been given to the public in it's books but has been a labour of love to understand my place in the universe.

The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory
The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory (ISBN 0-375-70811-1) is a book by Brian Greene published in 2000 which introduces string theory and provides a comprehensive though non-technical assessment of the theory and some of its shortcomings.

Beginning with a brief consideration of classical physics, which concentrates on the major conflicts in physics, Greene establishes an historical context for string theory as a necessary means of integrating the probabilistic world of the standard model of particle physics and the deterministic Newtonian physics of the macroscopic world. Greene discusses the essential problem facing modern physics: unification of Einstein's theory of General Relativity and Quantum Mechanics. Greene suggests that string theory is the solution to these two conflicting approaches. Greene uses frequent analogies and mental experiments to provide a means for the layman to come to terms with the theory which has the potential to create a unified theory of physics.

The Elegant Universe was adapted for a three hour program in two parts for television broadcast in late 2003 on the PBS series NOVA.


Thanks Q9 for the link to "Elegant physicist makes string theory sexy." I was going to posted it the day when you gave it to me, but instead seeing that Clifford of Asymptotia had it (same day), I thought I wouldn't. But as fate has it I must.

The Fabric of the Cosmos: Space, Time, and the Texture of Reality (2004) is the second book on theoretical physics, cosmology and string theory written by Brian Greene, professor and co-director of Columbia's Institute for Strings, Cosmology, and Astroparticle Physics (ISCAP).[1]
Greene begins with the key question: What is reality? Or more specifically: What is spacetime? He sets out to describe the features he finds both exciting and essential to forming a full picture of the reality painted by modern science. In almost every chapter, Greene introduces its basic concepts and then slowly builds to a climax, which is usually a scientific breakthrough. Greene then attempts to connect with his reader by posing simple analogies to help explain the meaning of a scientific concept without oversimplifying the theory behind it.

In the preface, Greene acknowledges that some parts of the book are controversial among scientists. Greene discusses the leading viewpoints in the main text, and points of contention in the end notes. Greene has striven for balanced treatment of the controversial topics. In the end notes, the diligent reader will find more complete explanations relevant to points he has simplified in the main text.


Once you get this view of the gravitational connection between everything, the form of graviton, you get this preview of the bulk and what lensing may mean. It is hard not to think of "dimensional perspectives in relation to the energy" describing the particles of science in some way. Witten below in his "Strings Unravel" lets you know what string theory has accomplished.

Warped Passages is a book by Lisa Randall, published in 2005, about particle physics in general and additional dimensions of space (cf. Kaluza-Klein theory) in particular. The book has made it to top 50 at amazon.com, making it the world's first successful book on theoretical physics by a female author. See Where are my keys?

It's alway nice having one's own blog and nice that I can retained my dignity under the name of Plato. It keeps my personal life from being treated with disrespect at the whim of the stroke of a delete key. Of course I am willing to take my lumps understanding such a role as "older student." After being expose to the exchange between people in the tribe, it's thinking can do all kinds of damage to each other? But I would like to think that all sides remain cool to positions they hold in society

A Different Universe: Reinventing Physics from the Bottom Down by Robert B. LaughlinFrom the Publisher:
Why everything we think about fundamental physical laws needs to change, and why the greatest mysteries of physics are not at the ends of the universe but as close as the nearest ice cube or grain of salt.

Not since Richard Feynman has a Nobel Prize-winning physicist written with as much panache as Robert Laughlin does in this revelatory and essential book. Laughlin proposes nothing less than a new way of understanding fundamental laws of science. In this age of superstring theories and Big-Bang cosmology, we're used to thinking of the unknown as being impossibly distant from our everyday lives. The edges of science, we're told, lie in the first nanofraction of a second of the Universe's existence, or else in realms so small that they can't be glimpsed even by the most sophisticated experimental techniques. But we haven't reached the end of science, Laughlin argues-only the end of reductionist thinking. If we consider the world of emergent properties instead, suddenly the deepest mysteries are as close as the nearest ice cube or grain of salt. And he goes farther: the most fundamental laws of physics-such as Newton's laws of motion and quantum mechanics -are in fact emergent. They are properties of large assemblages of matter, and when their exactness is examined too closely, it vanishes into nothing.
See Laughlin, Reductionism, Emergence

Out of all this uncertainty that exists at the level with which we think about in "those dimensions" what value any constructive diagram if it did not lead you to the understanding of the building blocks that a condense matter theorist may describe as manifesting in our reality?

The Year is 2020 and that's our Eyesight

Columbia physicist Brian Greene inhabits a multiple-perspective landscape modeled after M.C. Escher's artwork in a scene from "The Elegant Universe," a public-TV documentary based on Greene's book.
Q: Hawking has said that there could be a “theory of everything” produced in the next 20 years, or by 2020. Do you get that same sense? Or will there ever be a theory of everything?

A: Well, I always find it difficult to make predictions that are tied to a specific time frame, because as we all know, one of the exciting things about science is that you don’t know when the big break is going to happen. It could happen tomorrow, it could happen 10 years from now, it could happen a century from now. So you just keep pressing on, making progress, and hope that you reach these major milestones — ideally in your own lifetime, but who knows? So I don’t know if 2020 is the right number to say. But I would say that string theory has a chance of being that unified theory, and we are learning more and more about it. Every day, every week, every month there are fantastically interesting developments.

Will it all come together by 2020, where we can actually have experimental proof and the theory develops to the point that it really makes definitive statements that can be tested? I don’t know. I hope so. But hope is not the thing that determines what will actually happen. It’s the hard work of scientists around the world.


But anyway onto what I wanted to say and "being censored" I couldn't.

Clifford is defending his position on how Lee Smolin and Peter Woit have assigned a "perspective view" to string theory as a modelled approach. As a theoretical discovery of science, Clifford from my view, had to show that this process is still unfolding and that any quick decision as to giving String theory such a final vote of opinion from Lee Smolin was premature. I have supported Clifford in this view because of where we had been historically in the past years that the formulation of string theory has been given.

D-Branes by Clifford V. Johnson
D-branes represent a key theoretical tool in the understanding of strongly coupled superstring theory and M-theory. They have led to many striking discoveries, including the precise microphysics underlying the thermodynamic behaviour of certain black holes, and remarkable holographic dualities between large-N gauge theories and gravity. This book provides a self-contained introduction to the technology of D-branes, presenting the recent developments and ideas in a pedagogical manner. It is suitable for use as a textbook in graduate courses on modern string theory and theoretical particle physics, and will also be an indispensable reference for seasoned practitioners. The introductory material is developed by first starting with the main features of string theory needed to get rapidly to grips with D-branes, uncovering further aspects while actually working with D-branes. Many advanced applications are covered, with discussions of open problems which could form the basis for new avenues of research.


While Clifford's book I do not have, I understand that the "second revolution" was necessary to help us move to consider where string theory was to take us. It was progressing in the theoretics as a model to help us see science assuming the ways in which such models adjust us to possible new views in science. Clifford may not of liked the implication of a Grokking of a kind that would refer to consuming model approaches and then becoming what you eat?

Clifford:
I’ve found that different people have different takes on what it means to have a “theory of everything”. There is a popular idea (perhaps the most common) that this somehow means that this theory will describe (at least in principle) all known basic physical phenomena (constituents and their interactions, if you like) once and for all. Others mean something less ambitious, a theory that consistently describes the four fundamental forces and the things that interact with them, achieving a unification of all the forces and phenomena that we currently understand. I personally think that the first idea of a theory of everything is rather naive, and my personal hunch (and bias from what I’ve learned about the history of science) is that there is simply no such thing.


So of course entertaining the idea of a "theory of everything" leaves a bad taste in some peoples mouth, and having them to reason that it is the naivity of such a thought, that I immediately felt insulted. Clifford saids,"this theory will describe (at least in principle) all known basic physical phenomena (constituents and their interactions, if you like) once and for all" and may have been the case for those less then spending the time and effort, would have probably been insulted as I was. I of course came to recognize the positive aspect of the second position Clifford assumes.

Bench Marks of theoretical Progress

Anyway there are positions that we can take when we look back and reassess everything that we have been doing in reading the public outreach, like so called "bench marks" to see if such progressions still have have a evolutionary way to go.

Edward Witten-Reflections on the Fate of Spacetime

Unravelling String Theory

But what is string theory? It may well be the only way to reconcile gravity and quantum mechanics, but what is the core idea behind it? Einstein understood the central concepts of general relativity years before he developed the detailed equations. By contrast, string theory has been discovered in bits and pieces — over a period that has stretched for nearly four decades — without anyone really understanding what is behind it. As a result, every bit that is unearthed comes as a surprise. We still don’t know where all these ideas are coming from — or heading to



See more here



So what shall we use to measure what had first seem so abstract in Susskind's mind as a "rubber band," or the start of Veneziano views on such strings at inception? We've come a long way.

Something that I perceived back in 2004 help to "shape my views on the way I speak" "today" allows for us to consider that strings take it's rightful place within the building blocks of matter, that following Robert Laughlins lead, it was that we shifted our times from the first three seconds of Steven Weinberg, to the "First three Microseconds" of strings within the process of the unfolding universe.

The resulting collisions between pairs of these atomic nuclei generate exceedingly hot, dense bursts of matter and energy to simulate what happened during the first few microseconds of the big bang. These brief "mini bangs" give physicists a ringside seat on some of the earliest moments of creation.
See How Particles Came to be?

While Laughlin may have not seen the continued relevance of particle reductionism it was leading to some amazing insights. I now wonder now, if held to the comparisons of this superfluid, how it would have appealed to him? I think Witten in last plate above recognized what had to be done.

Friday, March 23, 2007

Lingua Cosmica

It looks as though primes tend to concentrate in certain curves that swoop away to the northwest and southwest, like the curve marked by the blue arrow. (The numbers on that curve are of the form x(x+1) + 41, the famous prime-generating formula discovered by Euler in 1774.). See more info on Mersenne Prime.

I always find it interesting that the ability of the mind to do it's gymnastics, had to have some "background information" with which we could assign "the acrobatics of thinking" to special sequences. Thus create some commonality of exchange.

Might we think the computerized world will give us an "human emotive side of being."

See here for Against Symmetry explanation.

So born from it's "original position" what asymmetry was produced to have the universe have it's special way with which it will deal with it's inhabitants? Any "point source" has a greater potential and from a "perfect symmetry" you had to know where this existed?

Lee Smolin will then lead you away from perfect symmetry and explain why?

G -> H -> ... -> SU(3) x SU(2) x U(1) -> SU(3) x U(1)

Here, each arrow represents a symmetry breaking phase transition where matter changes form and the groups - G, H, SU(3), etc. - represent the different types of matter, specifically the symmetries that the matter exhibits and they are associated with the different fundamental forces of nature


So why not think for a minute that if you had "crossed wires" how might you see the world and think, how strange a Synesthesist to have such "emotive reactions instantaneously" bring forth perceived coloured responses. Colours perhaps, as diverse as the Colour of Gravity?

How much of a joke shall I play with peoples minds to think the choice of the observer has consequences? That those consequences are indeed coloured. If this is to much for you, and you say, "oh what a flowery pot I am with such a proposal," then think about "the concept" being used.

The struggle for the emotive language to be explained to the everyday person, as if, the Synesthesist was being simple in their explanation? A "one inch" equation perhaps? They should be so lucky that they could explain themself while they toy with the world and try and make sense of it. That is how different it can be in finding some result of clarification.

That is how foreign I would lead you to believe, that if I wish to communicate, that any language developed, was speaking directly to the source of all expressions, as if they had a geometrical explanation to it. Use of Riemann is understood i this way. It did not divorce him from his teacher, but added vitality tthe way in which we seen Gaussian Arcs and all.

The Magic Square

Hans_Freudenthal

Hans Freudenthal (September 17, 1905 – October 13, 1990) was a Dutch mathematician born in Luckenwalde in Germany into a Jewish family. He made substantial contributions to algebraic topology and also took an interest in literature, philosophy, history and mathematics education.


I had to think sometimes that what was common knowledge can sometimes be wrapped in up the language we use. So imagine for a time that you will go out and change the way we see the world and add this particular model of String theory just to confuse the heck out of us all.

Lincos

Lincos (an abbreviation of the Latin phrase lingua cosmica) is an artificial language first described in 1960 by Dr. Hans Freudenthal and described in his book Lincos: Design of a Language for Cosmic Intercourse, Part 1. It is a language designed to be understandable by any possible intelligent extraterrestrial life form, for use in interstellar radio transmissions.


Do you want to take the time and consult with the aliens we have on this earth? :) Now surely you know I jest, because of the way in which this model asks a us to look at the world. What use you say?

Please don't confuse this language adaptation to the "ignorance and arrogance" of the "Lincos," a being something other then the human beings who are trying to get a GRIP ON OUR PERSPECTIVES. ASKING US TO SEE IN WAY THAT WE ARE NOT TO ACCUSTOM Too.

Were it Perfect, Would it Work Better?-Bruno Bassi

5.1. Communication vs Formalization

The idea of applying achievements from symbolic logic to the design of a complete language is deeply linked to a strong criticism towards the dominant 20th century trend of considering formal languages as a subject matter in themselves and of using them almost exclusively for inquiries about the foundations of mathematics. "In spite of Peano's original idea, logistical language has never been used as a means of communication ... The bounds with reality were cut. It was held that language should be treated and handled as if its expressions were meaningless. Thanks to a reinterpretation, 'meaning' became an intrinsic linguistic relation, not an extrinsic one that could link language to reality" (p. 12).

In order to rescue the original intent of formal languages, Lincos is bound to be a language whose purpose is to work as a medium of communication between people, rather than serve as a formal instrument for computing. It should allow anything to be said, nonsense included. In Lincos, "we cannot decide in a mechanical way or on purely syntactic grounds whether certain expressions are meaningful or not. But this is no disadvantage. Lincos has been designed for the purpose of being used by people who know what they say, and who endeavor to utter meaningful speech" (p. 71).

As a consequence, Lincos as a language is intentionally far from being fully formalized, and it has to be that way in order to work as a communication tool. It looks as though the two issues of communication and formalization radically tend to exclude each other. What Lincos seems to tell us is that formalization in the structure of a language can hardly generate straightforward understanding.

Our Dr. Freudenthal saw very well this point. "there are different levels of formalization and ... in every single case you have to adopt the one that is most adaptable to the particular communication problem; if there is no communication problem, if nothing has to be communicated in the language, you can choose full formalization" (Freudenthal 1974:1039).

But then, how can the solution of a specific communication problem ever bring us closer to the universal resolution of them all? Even in case the Lincos language should effectively work with ETs, how could it be considered as a step towards the design of a characteristica universalis? Maybe Dr. Freudenthal felt that his project needed some philosophical justification. But why bother Leibniz?

Lincos is there. In spite of its somewhat ephimeral 'cosmic intercourse' purpose it remains a fascinating linguistic and educational construction, deserving existence as another Toy of Man's Designing.

Solidification of Geometrical Presence

While I might infer the "attributes of Coxeter here," it is with the understanding such a dimensional perspective which has it's counterpart in the result of what manifests as matter creations. Yet we have taken our views down to the "powers of ten" to think of what could manifest even before we see the result in nature.

When you go to the site by PBS of where, Nano: Art Meets Science, make sure you click on the lesson plan to the right.



Buckyballs

Visitors' shadows manipulate and reshape projected images of "Buckyballs." "Buckyball," or a buckminsterfullerene molecule, is a closed cage-structure molecule with a carbon network. "Buckyball" was named for R. Buckminster "Bucky" Fuller (1895-1983), a scientist, philosopher and inventor, best known for creating the geodesic dome.
Photo Credit: © 2003 Museum Associates/Los Angeles County Museum
Fundamentally the properties of materials can be changed by nanotechnology. We can arrange molecules in a way that they do not normally occur in nature. The material strength, electronic and optical properties of materials can all be altered using nanotechnology.


See Related information on bucky balls here in this site. This should give some understanding of how I see the greater depth of what manifest in nature, as solids in our world, has some "other" possibilities in dimensional attribute, while it is given association to the mathematical prowess of E8.

I do not know of many who will take in all that I have accumulated in regards to how one may look at their planet, can have the depth of perception that is held in to E8.?

One may say what becomes of the world as it manifest into it's constituent parts, has this energy relation, that it would become all that is in the design of the world around us.



While some scientists puzzle as to the nature of the process of E8, little did they realize that if you move your perception to the way E8 is mapped to 248 dimensions, the image while indeed quite pleasing, you see as a result.

It can include so much information, how would you know that this object of mathematics, is a polytrope of a kind that is given to the picture of science in the geometrical structure of the bucky ball or fullerene.

Allotropes



Diamond and graphite are two allotropes of carbon: pure forms of the same element that differ in structure.
Allotropy (Gr. allos, other, and tropos, manner) is a behaviour exhibited by certain chemical elements: these elements can exist in two or more different forms, known as allotropes of that element. In each different allotrope, the element's atoms are bonded together in a different manner.

For example, the element carbon has two common allotropes: diamond, where the carbon atoms are bonded together in a tetrahedral lattice arrangement, and graphite, where the carbon atoms are bonded together in sheets of a hexagonal lattice.




Note that allotropy refers only to different forms of an element within the same phase or state of matter (i.e. different solid, liquid or gas forms) - the changes of state between solid, liquid and gas in themselves are not considered allotropy. For some elements, allotropes can persist in different phases - for example, the two allotropes of oxygen (dioxygen and ozone), can both exist in the solid, liquid and gaseous states. Conversely, some elements do not maintain distinct allotropes in different phases: for example phosphorus has numerous solid allotropes, which all revert to the same P4 form when melted to the liquid state.

The term "allotrope" was coined by the famous chemist Jöns Jakob Berzelius.

Monday, March 19, 2007

Pasquale Del Pezzo and E8 Origination?

"I’m a Platonist — a follower of Plato — who believes that one didn’t invent these sorts of things, that one discovers them. In a sense, all these mathematical facts are right there waiting to be discovered."Donald (H. S. M.) Coxeter


There are two reasons that having mapped E8 is so important. The practical one is that E8 has major applications: mathematical analysis of the most recent versions of string theory and supergravity theories all keep revealing structure based on E8. E8 seems to be part of the structure of our universe.

The other reason is just that the complete mapping of E8 is the largest mathematical structure ever mapped out in full detail by human beings. It takes 60 gigabytes to store the map of E8. If you were to write it out on paper in 6-point print (that's really small print), you'd need a piece of paper bigger than the island of Manhattan. This thing is huge.


Clifford of Asymptotia drew our attention to this for examination and gives further information and links with which to follow.

He goes on to write,"Let’s not get carried away though. Having more data does not mean that you worked harder to get it. Mapping the human genome project involves a much harder task, but the analogy is still a good one, if not taken too far."

Of course since the particular comment of mine was deleted there, and of course I am okay with that. It did not mean I could not carry on here. It did not mean that I was not speaking directly to the way these values in dimensional perspective were not being considered.

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.


There had to be a route to follow that would lead one to think in such abstract spaces. Of course, one does not want to be divorced from reality. So one should not think that because the geometry of GR is understood, that you think nothing can come from the microseconds after the universe came into expression.

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 Holy Grail sure comes up lots doesn't it:) Without invoking the pseudoscience that Peter Woit spoke of. I thought, if they could use Babar, and Alice then I could use the Holy Grail?

See more info on Coxeter here.

Like Peter I will have to address the "gut feelings" and the way Clifford expressed it. I do not want to practise pseudoscience as Peter is about the landscape.:)



When ones sees the constituent properties of that Gossett polytope 421 in all it's colours, the complexity of that situation is quite revealing. Might we not think in the time of supergravity, gravity will become weak, in the matter constitutions that form.

As in Neutrino mixing I am asking you to think of the particles as sound as well as think them in relation to the Colour of Gravity. If you were just to see grvaity in it's colourful design and what value that gravity in face of the photon moving within this gravitational field?

We detect the resulting "wah-wah-wah" in properties of the neutrino that appear and disappear. For example, when neutrinos interact with matter they produce specific kinds of other particles.

For example, when neutrinos interact with matter they produce specific kinds of other particles. Catch the neutrino at one moment, and it will interact to produce an electron. A moment later, it might interact to produce a different particle. "Neutrino mixing" describes the original mixture of waves that produces this oscillation effect.


The "geometry of curvature" had to be implied in the outcome, from that quantum world? Yet at it's centre, what is realized? You had to be lead there in terms of particle research to know that you are arriving at the "crossover point." The superfluid does this for examination.

5. Regular polytope: If you keep pulling the hypercube into higher and higher dimensions you get a polytope. Coxeter is famous for his work on regular polytopes. When they involve coordinates made of complex numbers they are called complex polytopes.

Pasquale Del Pezzo, Duke of Cajanello, (1859–1936), was "the most Neapolitan of Neapolitan Mathematicians".

He was born in Berlin (where his father was a representative of the Neapolitan king) on 2 May 1859. He died in Naples on 20 June 1936. His first wife was the Swedish writer Anne Charlotte Leffler, sister of the great mathematician Gösta Mittag-Leffler (1846-1927).

At the University of Naples, he received first a law degree in 1880 and then in 1882 a math degree. He became a pre-eminent professor at that university, teaching Projective Geometry, and remained at that University, as rector, faculty president, etc.

He was mayor of Naples starting in 1919, and he became a senator in the Kingdom of Naples.

His scientific achievements were few, but they reveal a keen ingenuity. He is remembered particularly for first describing what became known as a Del Pezzo surface. He might have become one of the strongest mathematicians of that time, but he was distracted by politics and other interests.


So what chance do we have, if we did not think this geometry was attached to processes that would unfold into the bucky ball or the fullerene of science. To say that the outcome had a point of view that is not popular. I do not count myself as attached to any intelligent design agenda, so I hope people will think I do not care about that.

NATHAN MYHRVOLD

I found the email debate between Smolin and Susskind to be quite interesting. Unfortunately, it mixes several issues. The Anthropic Principle (AP) gets mixed up with their other agendas. Smolin advocates his CNS, and less explicitly loop quantum gravity. Susskind is an advocate of eternal inflation and string theory. These biases are completely natural, but in the process the purported question of the value of the AP gets somewhat lost in the shuffle. I would have liked more discussion of the AP directly


See here for more information

So all the while you see the complexity of that circle and how long it took a computer to map it, it has gravity in it's design, whether we like to think about it or not?

But of course we are talking about the symmetry and any thing less then this would have been assign a matter state, as if symmetrical breaking would have said, this is the direction you are going is what we have of earth?

Isostatic Adjustment is Why Planets are Round?

While one thinks of "rotational values" then indeed one would have to say not any planets is formed in the way the sun does. Yet, in the "time variable understanding" of the earth, we understand why it's shape is not exactly round.



Do you think the earth and moon look round if your were considering Grace?

On the moon what gives us perspective when a crater is formed to see it's geological structure? It's just not a concern of the mining industry, as to what is mined on other orbs, but what the time variable reveals of the orbs structure as well.



Clementine color ratio composite image of Aristarchus Crater on the Moon. This 42 km diameter crater is located on the corner of the Aristarchus plateau, at 24 N, 47 W. Ejecta from the plateau is visible as the blue material at the upper left (northwest), while material excavated from the Oceanus Procellarum area is the reddish color to the lower right (southeast). The colors in this image can be used to ascertain compositional properties of the materials making up the deep strata of these two regions. (Clementine, USGS slide 11)

See more here

Sunday, March 18, 2007

AP May Still be Useful?

Full-sky Temperature Maps-Polarized Light-K-Band Map (23 GHz)-Credit:NASA/WMAP Science Team

The color represents the strength of the polarized signal seen by WMAP - red strong/blue weak. The signal seen in these maps comes mostly from our Galaxy. It is strongest at 23 GHz, weakest at 61 and 94 GHz.

This multi-frequency data is used to subtract the Galactic signal and produce the CMB map shown (top of this page). These images show a temperature range of 50 microKelvin.


It is essential that while we are looking at this universe we understand the makeup and how it is being expressed. We also understand that while we knew the uiverse had to have it's motivation for that expression, it had to have other states of existance as well. This is related to the curvatures parameters and how differing times in the universe's expression this curvature had to be considered. These curvatures at one time in the whole context, as some cosmological constant varied, not seem relevant to the state of the universe?

So you have to explain it. Some may think I am less then desired in my understanding of General relativity, but you can be certain that understand Einstein's work in finding the "geometry of expression" was critical in understanding the "nature of gravity."


The idea behind the Coleman-De Luccia instanton, discovered in 1987, is that the matter in the early universe is initially in a state known as a false vacuum. A false vacuum is a classically stable excited state which is quantum mechanically unstable. In the quantum theory, matter which is in a false vacuum may `tunnel' to its true vacuum state. The quantum tunnelling of the matter in the early universe was described by Coleman and De Luccia. They showed that false vacuum decay proceeds via the nucleation of bubbles in the false vacuum. Inside each bubble the matter has tunnelled. Surprisingly, the interior of such a bubble is an infinite open universe in which inflation may occur. The cosmological instanton describing the creation of an open universe via this bubble nucleation is known as a Coleman-De Luccia instanton.


See more on this here

So by seeing this dynamical nature expressed did not mean you discounted how this universe was acting at various times to become what it is today. You had to find processes that would speak to this,and by defining the continuity of geometrical expression it was important to define this false vacuum in relation towhat the universe was doing as it unfolded itself and from strong curvature parameters settled itself to where it is today.

Did the universe have a negative density value relation that one could interpret? So you have to explain this as well in relation to what contributed ot the universe speeding up or slowing down. What local events within the cosmos could contribute to the universe in it's total expression?

Gravity in the microseconds

Never mind Steven Weinberg's First Three mintes.

The amount of dark matter and energy in the universe plays a crucial role in determining the geometry of space. If the density of matter and energy in the universe is less than the critical density, then space is open and negatively curved like the surface of a saddle See my post on this here

While we talk about the universe I understand that there are "curvature parameters" that can be expressed, at any given time "within context of the whole universe." We had somehow forgotten these events as local expressions of galaxies "may contribute to the larger picture?"

'An unexpected gift' from string theory

The possibility that enormously large galaxies originated from tiny quantum fluctuations may seem too strange to be true. But many aspects of inflationary theory were confirmed by recent astronomical observations, for which the observers won the Nobel Prize in 2006. This gives some credence to an even more surprising claim made by Linde: During inflation, quantum fluctuations can produce not only galaxies, but also new parts of the universe.

Take an expanding universe with its little pockets of heterogeneous quantum events. At some point one of those random events may actually "escape" from its parent universe, forming a new one, Linde said. To use the ball analogy, if it experiences small perturbations as it rolls, it might at some point roll over into the next valley, initiating a new inflationary process, he said.

"The string theorists predict that there are perhaps 101000 different types of universes that can be formed that way," Linde said. "I had known that there must be many different kinds of universes with different physical properties, but this huge number of different possibilities was an unexpected gift of string theory."

According to string theory, there are 10 dimensions. We live aware of four of them—three of space plus one of time. The rest are so small that we cannot experience them directly. In 2003, Stanford physicists Shamit Kachru, Renata Kallosh and Linde, with their collaborator Sandip Trivedi from India, discovered that these compacted dimensions want to expand, but that the time it would take for them to do so is beyond human comprehension. When a new universe buds off from its parent, the configuration of which dimensions remain small and which grow large determines the physical laws of that universe. In other words, an infinite number of worlds could exist with 101000 different types of physical laws operating among them. Susskind called this picture "the string theory landscape."

For many physicists, it is disturbing to think that the very laws and properties that are the essence of our world might only hold true as long as we remain in that world. "We always wanted to discover the theory of everything that would explain the unique properties of our world, and now we must adjust to the thought that many different worlds are possible," Linde said. But he sees an advantage in what some others could see a problem: "We finally learned that inflationary universe is not just a free lunch: It is an eternal feast where all possible dishes are served."


I have been waiting I guess until the appropriate time that I could bring Q9's link of Linde's here for comparison, to what one may think of the landscape. You had to include all the information before this comment to know that what I am talking about has it's relation in the Anthropic Principle.

The theory of strings predicts that the universe might occupy one random "valley" out of a virtually infinite selection of valleys in a vast landscape of possibilities

See info on String Theory Landscape

The title above is taken from Lee Smolin's paragraph listed below. Why I am using it will be come clear after a time in this post. I am working all night because of the duties of life, so I'll have to come back to it tomorrow. I am barely await has a continue to compile the data necessary for understanding the way I see this universe.

We assume the landscape is covered by fog so we can’t see where the real peak is, we can only feel around and detect slopes and local maxima.Lee Smolin

Lee continues on in another forum and is linked to paragraph below.

I should also emphasize that while the book is not an attack on string theory in general it is very definitely an attack on a point of view about string theory that some, but not all, string theorists have adopted. This includes the arguments that the anthropic principle can yielded falsifiable predictions-which have been shown to be fallacious, and the argument that was made by several string theorists that a theory need not give falsifiable predictions for doable experiments to be believed. My book takes a strong stance against this point of view. I am confident here of my reasons, especially given that already in my first book the possibility of an anthropic solution to the landscape problem was considered and rejected. I am glad to know that my view on this is shared by some string theorists such as Brian Greene but not so happy that a number of very smart string theorists continue to believe that some version of the AP may still be useful.


Increased Curvatures

A circle of radius r has a curvature of size 1/r. Therefore, small circles have large curvature and large circles have small curvature. The curvature of a line is 0. In general, an object with zero curvature is "flat."

See my post here and here.

The value of the circle in relation to gravity is important to recognize, in that this value of the universe can be different based on what "critical density" in relation to Omega

In order for one to be concerned about the current state of the universe, it is essential that one realizes it's condition "before it became the way it is?" It's value in relation to the circle.



The big bang should have created equal amounts of matter and antimatter, with subsequent annihilation leaving neither behind. And yet, the observable universe has about ten billion galaxies that consist entirely of matter (protons, neutrons, and electrons) with no antimatter (antiprotons, antineutrons, and positrons). Very soon after the big bang, some forces must have caused the CP violation that skewed the equality in the number of matter and antimatter particles and left behind excess matter.



So while we get this sense here of the hills and valleys, what said that the current system had not taken into consideration the sombrero? The effects of gravity when it was once strong, and now is weak. We still get this sense of the universe doing things.

Friday, March 16, 2007

It's a Penquin?




The jump from conventional field theories of point-like objects to a theory of one-dimensional objects has striking implications. The vibration spectrum of the string contains a massless spin-2 particle: the graviton. Its long wavelength interactions are described by Einstein's theory of General Relativity. Thus General Relativity may be viewed as a prediction of string theory!


Unfortunately I misplaced the owner of that quote.



I just finish spending the last 8 days with two of my seven grandchildren. One had passed just a couple of days after being born.

Yes "Happy feet" has become a intricate part of my days visiting as these children are mesmerized by the hearts songs and uniqueness of being borne learning to tap instead of singing. It's trials and tribulations of being different.

Images of brain show areas that become most active during perception of pictures (a and c, in green) and sounds (e, in yellow). Small arrows point to sites of greatest activity during recall of pictures (b and d) and sounds (f). Wheeler, Petersen, Buckner/Washington Univ.
"These new studies set the stage for more intensive explorations of memory retrieval in the brain," remarks Anthony D. Wagner of the Massachusetts Institute of Technology in Cambridge."
See more on Remembrance here

I gave reference at one time to the topic of "Super Learning" and the method used to induce information into the brain's matter.

Music and visualization combined can create quite a compelling story, and sink deep into what is "emotively charged" for our memories. It's part of that "deep play" that I had talked about previous. While one may talk on the surface about the triviality of things, useless knowledge, some things are indeed more "emotively charged."

Incites one to "take action" if felt deeply. Not all thoughts are equal? Your defining who you are "by reacting." This is your "signature."

The Mind Field

Michael Shermer-The Power of Belief-skepticism 101

See here for more explanation on the mind field.

No one said not to have this attitude about what is presented. But to breed the very attitude of arrogance that some think perpetuates areas of theoretical science, would be a good lesson, on what concert can be raised, as the "intonations echo and entrain other thoughts accordingly in the concert hall."

For some time, it was not clear to me how to get the word into this b quark paper that we were writing at the time…. Later…I had a sudden flash that the famous diagrams look like penguins. So we put the name into our paper, and the rest, as they say, is history.”

IT is no different then compiling all that has happened in Storm in a Teacup become the last statement as an image of all the statements and exchanges "felt based on the memory of our relations." The "Colour of gravity" plays an intricate part here.

What impact the agenda, while one is holding the plight of the student and workers within science to think, that the issues with Lee Smolin cannot revive the issues confronting science "other then" those agendas? These are "another issue" outside of what must be confronted separately.

A poster boy?

I was just taking a stroll through the blogosphere. I find a lot of "skeptical things" being "echoed from one person to the next?" As if, the "idea of the incredible" cannot exist in this world "without" some scientific explanation to it?

Development of the sociological idealization of the community in the matter of things and science's measure while the subjective sides suffers.

So they make fun of the idea about what is intuitive, gosh a "zen koan?" related in some way to eastern thinking. Can have a "greater meaning" by just playing with how ideas are born? Can "mature" from other things. What part did Feynman play in John Ellis's game of "dart throwing?"

Maybe it is my own ignorance then, that I do not have an explanation for "an event?" That like the young Einstein and his compass, I was maybe just not clear on what these lines may have meant in Gaussian coordinates. Does this mean I have the mind of this five year old. Like Sean, who said I was perfect? :)

The internet and Blogs


I don't have to spell it out as of late, that I could point to a paragraph and link directly to the source, "is just the echoing of what I think" is comparative to what people can do to belittle others( comments on bloggeries) and echo some idealization by example. What "tone" shall we set in motion?

To me these "point sources" linked in paragraph are more reminders what has been discovered of late. You reference by a 1 and then go to the end of your post entry and add an addendum?

Where this research is leading. How it helps me to keep "in tune" with what is developing in the science world. Do some think these points trivial? I'd rather set the tone in motion that encourages the "subtle perceptions" that may arise in others, and include these in a critical analysis of what is related in science to that thinking?

Why bring together so many different concepts that may be of use in our scientific examination?


What Tone is being Set?


Lee Smolin:
What we are dealing with is a sociological phenomenon in the world of academic science. I do think that the ethics of science have been to some degree corrupted by the kind of groupthink explored in chapter 16, but not solely by the string-theory community. For one thing, it is the academic community writ large that makes the rules. In a court of law, a good lawyer will do anything within the law to advance the cause of his clients. We should expect that the leaders of a scientific field will likewise do everything within the unwritten rules of academia to advance their research program.


So Sean over at cosmic variance speaks about Maharishi Mathematics. The preposterousness of the post itself degenerates into the examples of what exists in eastern thinking adapted to the methods of science now?

I recall the work of Schwartz amidst the duelling Gellmann and Feynman? Can it be called that, or the philosophical difference? We know of Richard's thoughts on the philosophical of course. We know of the "eightfold path" by Murray?

Murray Gellman's reactivities to dispel corruption in the western world? Loud affirmations of "not I," as to reinforce what is thought to be the example of what is leading science in those country's philosophies? So he too was influence by the very word "Simplectics."

Sean Carroll is absorbing the influence of his location? Laughing from "that place" that his mentors did, as they welcomed "Schwartz." Never mind the desk. :)

I wonder if we can be “just as guilty” of perpetuating those things that one could despise?



Be careful least you "drawn lines" of a strange world that Dirac ventured. Whilst you drawn those "funny pictures of fabled stories" and take us on the strange journey of Alice and Babar.

Who is to know that Feynman may of understood the possibilities of the photon's journey to map this thing "as an exchange." That he could see in a geometrical way, while at a loss to write simplistically, and then, finally succeeded? See more on this relations of Gell Mann and Feynman here



Of course I am a lay person outside of the halls of science that I would want to lead by example that we have these priorities and methods to live by, other then playing the ole foolish game "look at them" and then "look at me."

Wednesday, March 14, 2007

IN Search of Mandelstam's Holy Grail



There are two posts that reflect the purpose of this post today. One is Clifford's linked through Lee Smolin's comment and the other, at Backreaction. Good Physics is Conflict

A lot of you may never understand the significance of the mystery that follows the thinking of the Holy Grail. Yet is it more the knowledge that can be gained from all soul's day, that on this occasion we may have called it Halloween.

We celebrated the past, in the living of today? You philosophize, while you become the thoughts of models created by science leaders shared? I do not think any have a "personality disorder" like I do:)

Lee Smolin:
Here is an example of the kind of question I found I needed a book to explore: what to think of the problems that arise from the need for higher dimensions in string theory, such as the problem of moduli stabilization and the vast number of static solutions. To approach this I read books on the early history of GR and unified field theories and learned that higher dimensional compactifications were explored many times between 1914 and 1984 and that close to the beginning these problems were appreciated and discussed by Einstein and others. I weave this story into my book because I find it useful when trying to judge how serious the present issues in string theory are to know how Einstein and many others struggled with the same issues over decades.


So of course when we think of the persons of science who walked before us (shoulders of giants), what are their whole stories, but what is evidenced to us as we read those words? So you compile your data accordingly, and from it, we say at certain spots, how are we to react to the challenge now facing us?



Stanley Mandelstam, Professor Emeritus, Particle Theory

My present research concerns the problem of topology changing in string theory. It is currently believed that one has to sum over all string backgrounds and all topologies in doing the functional integral. I suspect that certain singular string backgrounds may be equivalent to topology changes, and that it is consequently only necessary to sum over string backgrounds. As a start I am investigating topology changes in two-dimensional target spaces. I am also interested in Seiberg-Witten invariants. Although much has been learned, some basic questions remain, and I hope to be able at least to understand the simpler of these questionsStanley Mandelstam-Professor Emeritus Particle Theory


As a lay person watching the debate it is difficult for me to discern the basis of these arguments. But I strive to go past what you think is surface in conduct in science's response, as some may show of themself in a reactionary pose. Should we all be so perfect, that the human condition is not also the example by which we shall progress in science?

Dealing in the Abstract



A sphere with three handles (and three holes), i.e., a genus-3 torus.

Of course the thinking may seem so detached from reality that one asks for some reason with which to believe anything. It required, that the history of this approached dust off models in glass cabinets, that were our early descendants of the museum today.

Sylvester's models lay hidden away for a long time, but recently the Mathematical Institute received a donation to rescue some of them. Four of these were carefully restored by Catherine Kimber of the Ashmolean Museum and now sit in an illuminated glass cabinet in the Institute Common Room.




How many of you know how to work in such abstract spaces, and know that what you are talking about has it's relationships in the physics of today? Or that, what satellites we use in measure of, have some correlation to how one may have seen "UV coordinates supplied by Gauss?"

Gravity in all Shapes and Sizes?

Q9:But Time on every planet is different, therefore Time on every solar system could be different, and Time in every galaxy different still.

First off I'd like to thank you for taking "the time" to answer the posts that I put up :)If you did not do this I would have to place questions marks after every statement, as if to challenge my thinking mind in assuming that I could be in two places at once? Okay, I have mentioned the teacher and student within each of us and I am sticking to that as I explain myself.

Einstein may have preferred some proverbial wisdom in the form of the Old Ones, yet it is not so strange to me that these persona's are place within any mind to appeal to our higher well intention creations for what heaven is/maybe, suppose to be?

Time

What you say is true, yet I am looking to see that no matter which planet you are on, the rules with which we work will work everywhere. If by chance I assume gravity in all my statements and I assume that gravity is part of the standard model with which we are working, then I would say that what works in one part of the galaxy also is suppose to work here?

Whether there is one observer there and one here, we are experiencing time as a "fundamental aspect" of our being? I enlisted the formation of planets to exemplify not only the matter distinctions in what see forming within our cosmos as planets, but it reveals the hierarchical thinking that exists as a fundamental pattern as the basis of our constructive guise as we put this cloak on?

So I am spelling this out from all the things that have been put forth in regards to model approaches, "as if" I have become them.

How is it then I see as a observer? Do you not think my approach in terms of Colour of Gravity "is" indeed very colourful?

That showing you the ways in which these models can perceptionally make one work can be a sobering thought once having drunk "the beauty" of any language?