Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

Wednesday, September 27, 2006

Gravitational Radiation

How dry this article in comparison to what we can witness in the cosmo?

One gets this sense of "curvature implied" that the events connected at locations in the universe could have been felt in other locations? What connects them? The spacetime fabric?:)

If one was speaking and one was seeing beyond the observation of the events shown here, then what is there to say if one cannot accept "the language" while they hold to only what they see? No speculation, no theories, no future?

Only, the now?

With the development of quantum mechanics, it was realized that on this scale the protons must be considered to have wave properties and that there was the possibility of tunneling through the coulomb barrier


So while this information exist here now, how does this help you look at events, or is this information lost?

Virial Theorem

A general theorem from the mathematics of physics becomes a useful part of the picture of gravitational collapse. In the context of gravity it can be applied to a finite collection of particles which interact with each other by gravitational attraction. We can attribute to the collection of particles a total gravitational potential energy and a total kinetic energy. The virial theorem states that

Average kinetic energy = -1/2 x Average potential energy
One application of this theorem would be to a known mass of hydrogen gas in a proto-star. If you had a good estimate of the mass of the gas and could measure a sample of particle velocities to determine the kinetic energy, then you could predict the kinetic energy as the gas cloud underwent gravitational collapse. So for a given radius of collapse, you could make a prediction of the temperature of the hydrogen gas in terms of the kinetic energy and could make a prediction about when it would reach the ignition temperature for hydrogen fusion.

Another potential application is to the question of dark matter. If you examine a system of objects out in space and are able to measure the kinetic energy of the system, then you can imply the gravitational potential energy. If the total mass of all the visible objects is too small to give that amount of gravitational potential energy, then the implication is that there is matter there which you cannot see (dark matter). When this has been done for a variety of types of galaxies, there is strong evidence for dark matter (Baez).


Still the connection "is" in the "spacetime fabric" and all events have to be detailed according to some "relation of value in the energy distributed of itself," as we gaze upon the beautiful events within that cosmo?

Monday, September 11, 2006

Donald Coxeter: The Man Who Saved Geometry

"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."Harold Scott Macdonald (H. S. M.) Coxeter


Some would stop those from continuing on, and sharing the world behind the advancements in geometry. I am very glad that I can move from the Salvador Dali image of the crucifixtion, to know, that minds engaged in the "pursuites of ideas" as they may "descend from heaven," may see in a man like Donald Coxeter, the way and means to have ideas enter his mind and explode in sociological functions? Hmmmm. what does that mean?



Geometry is a branch of mathematics that deals with points, lines, angles, surfaces and solids. One of Coxeter’s major contributions to geometry was in the area of dimensional analogy, the process of stretching geometrical shapes into higher dimensions. He is also famous for “Coxeter groups,” the inversive distance between two disjoint circles (or spheres).


It is not often we see where our views are shared with other people?

I was doing some reading over at Lubos Motl's blog besides just getting the link for Michio Kaku article, I noticed this one too.

You might think the loss of geometry | like the loss of, say, Latin would pass virtually unnoticed. This is the thing about geometry: we no more notice it than we notice the curve of the earth. To most people, geometry is a grade school memory of fumbling with protractors and memorizing the Pythagorean theorem. Yet geometry is everywhere. Coxeter sees it in honeycombs, sun°owers, froth and sponges. It's in the molecules of our food (the spearmint molecule is the exact geometric reaction of the caraway molecule), and in the computer-designed curves of a Mercedes-Benz. Its loss would be immeasurable, especially to the cognoscenti at the Budapest conference, who forfeit the summer sun for the somnolent glow of an overhead projector. They credit Coxeter with rescuing an art form as important as poetry or opera. Without Coxeter's geometry | as without Mozart's symphonies or Shakespeare's plays | our culture, our understanding of the universe,would be incomplete.


Now you know what fascination I have with the geometries, as they have moved us towards the comprehension of GR and Reimann? Could Einstein have ever succeeded without him?

Michael Atiyah:
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’.


Without stealing the limelight from Donald, I wanted to put the thinking of Michael Atiyah along side of him too. So you understand that those who speak about the "physics" have things underlying this process which help hold them to the very fabric of thinking.

Some do not know of "this geometric process" I speak, where such manifestation arise from the very essence of the thinking soul. If you began to learn about yourself you would know that such abstractions are much closer to the "pure thought" then any would have realized.

Some meditate to get to this essence. Some know, that in having gone through a journey of discovery that they will find the very patterns sealed within each of the souls.

How does it arise? You had to follow this journey through the "muddle maze" of the dreaming mind to know that patterns in you can direct the vision of things according to what you yourself already do inherently.

Now some of you "know," don't you, with regards to what I am saying? I spoke often of "Liminocetric structures" just to help you along, and help you realize that the sociological standing of exchange houses many forms of thinking that we had gained previously. Why as a soul of the "thinking mind" should you loose this part of yourself?

So you begin with the "Platonic Forms" and look for the soccer ball/football? THis process resides at many levels and Dirac was very instrumental in speaking about the basis of the geometer and his vision of things. Along side of course the algebraic way.


(Picture credit: AIP Emilio Sergè Visual Archives)


This is very real, and not so abstract that you may have departed form the real world to say, you have lost touch? Do you think only "in a square box" and cannot percieve anything beyond the "condensive thoughts and model apprehensions" which hold you to your own design?

Maybe? :)

But the world is vast in terms of discovery, that the question of mathematics again draws us back too, was "Mathematics invented or discovered?" So "this premise" as a question formed and with it "the roads" that lead to inquiry?

Al these forms of geometrics leading to question about "Quantum geometry" and how would such a cosmological world reveal to the thinkingmind "the microscopic" as part of the dynamical world of our everyday living?

Only a cynic casts the diversions and illusions to what is real. Because they cannot inherently deal with the "strange language of geometrics" that issues forth in model apprehensions. This is the basis from which Einstein solved the problems of his day.

But the question is what geometrics could ever reside at such a microscopic level?

Sunday, September 10, 2006

Window on the Universe

Michio Kaku:
I like to compare it to wandering in the desert, and stumbling over a tiny pebble. When we push away the sand, we find that this "pebble" is actually the tip of a gargantuan pyramid. After years of excavation, we find wondrous hieroglyphics, strange tunnels and secret passageways. Every time we think we are at the bottom stage, we find a stage below it. Finally, we think we are at the very bottom, and can see the doorway.

One day, some bright, enterprising physicist, perhaps inspired by this article, will complete the theory, open the doorway, and use the power of pure thought to determine if string theory is a theory of everything, anything, or nothing.

Only time will tell if Einstein was correct when he said, "But the creative principle resides in mathematics. In a certain sense, therefore, I hold it true that pure thought can grasp reality, as the ancients dreamed."




An Intermediate Polar Binary System. Credit & Copyright: Mark Garlick


Consider any physical system, made of anything at all- let us call it, The Thing. We require only that The Thing can be enclosed within a finite boundary, which we shall call the Screen(Figure39). We would like to know as much as possible about The Thing. But we cannot touch it directly-we are restrictied to making measurements of it on The Screen. We may send any kind of radiation we like through The Screen, and record what ever changes result The Screen. The Bekenstein bound says that there is a general limit to how many yes/no questions we can answer about The Thing by making observations through The Screen that surrounds it. The number must be less then one quarter the area of The Screen, in Planck units. What if we ask more questions? The principle tells us that either of two things must happen. Either the area of the screen will increase, as a result of doing an experiment that ask questions beyond the limit; or the experiments we do that go beyond the limit will erase or invalidate, the answers to some of the previous questions. At no time can we know more about The thing than the limit, imposed by the area of the Screen.


Page 171 and 172 0f, Three Roads to Quantum Gravity, by Lee Smolin

Now you have to understand something here that the views of those who push our perceptions have gone even further then this, in how we look at the universe. I am showing you work that was progressing from understanding and bringing together what was going on then in 2004, to show you indeed that such an progression has taken place.

I also point out where "Conformal Field Theory" has planted itself, as we look at the images of Bekenstein bound. Such determinations and the roads taken by Strominger point specifically to what we can measure and what we have yet to measure. This did nt relegate any theoretcial view to the "garbage dump" but allowed visionaries to see beyond the SUN/Earth relation in Lagrangian views.

ISCAP will demonstratively help you "adjust your view" in a cosmological re-adjustment that is necessary. Not only from Glast views that arose from some fantasy, but culminates today in the use of a scientific device(calorimeter) for such measures.

In Gamma Ray detection and the Early Universe I point the direction in how Glast in it's preparation has given us new views on how we look at the universe.

Dust torus around a supermassive black hole
The Astrophysical Journal, in an article titled "Integral IBIS Extragalactic survey: Active Galactic Nuclei Selected at 20-100 keV", by L. Bassani et al., published on 10 January 2006 (vol. 636, pp L65-L68).


Meanwhile, the NASA team is now planning to extend his search for hidden black holes further out into the universe. "This is just the tip of the iceberg. In a few more months we will have a larger survey completed with the Swift mission. Our goal is to push this kind of observation deeper and deeper into the universe to see black hole activity at early epochs. That’s the next great challenge for X-ray and gamma-ray astronomers," concluded Beckmann.


Sun Earth Relation

Part of devloping this vision was to see in ways that the Grace satelitte allowed you to see. In what use "climate functions were happening" within the earth's atmosphere how it was being regarded. Time clock functiosn are necessary views, even within this context and such mapping allowed you to see th eearth as it had never been seen before.



No longer is it the surprize of the "first man to step out in space" to see such a blue marble and be aw struck by it's beauty. Now we have progressed in the same views that I allude too beyound what glast has done. Glast is your measure for now. Mine, and others, excell beyond this. As I show you why.

Dr. Mark Haskins:
On a wider class of complex manifolds - the so-called Calabi-Yau manifolds - there is also a natural notion of special Lagrangian geometry. Since the late 1980s these Calabi-Yau manifolds have played a prominent role in developments in High Energy Physics and String Theory. In the late 1990s it was realized that calibrated geometries play a fundamental role in the physical theory, and calibrated geometries have become synonymous with "Branes" and "Supersymmetry".


Now how abtract these views that I will show you to think indeed "theoretcial surmize exists for the potential to push perception." Then, I will give you a real image to ponder, as satellites now progress through this superhighway.

The second of five Lagrangian equilbrium points, approximately 1.5 million kilometers beyond Earth, where the gravitational forces of Earth and Sun balance to keep a satellite at a nearly fixed position relative to Earth.


In order to understand this sun/earth relation, you needed to see beyond what Glast had to impart to you. Yet, I do not say that it is irrelelavnt such experimental fashion to help us see even further. You understand this now?

So now, I'll show you what the universe looks like.

Diagram of the Lagrange Point gravitational forces associated with the Sun-Earth system. WMAP orbits around L2, which is about 1.5 million km from the Earth. Lagrange Points are positions in space where the gravitational forces of a two body system like the Sun and the Earth produce enhanced regions of attraction and repulsion. The forces at L2 tend to keep WMAP aligned on the Sun-Earth axis, but requires course correction to keep the spacecraft from moving toward or away from the Earth.


Now having this perspective in place, I am telling you what this does for perception, had I not carefully taken you through the roads to discovery. What the scale for gravity does for us in our estimation of what that universe actually looks like, when you put on glasses that change the very ideas of how we see.

While you may see refracting of the pencil in a glass of water, you may also see that the grvaiational relation is also apparent inhow we look at the universe?

If you do not think about the force carrier of the gravity then such extension to the standard model will only hold so much for you, while others in vision had been extended far beyond what you are accustom.

A Better Researcher, Not a Cynic...Yessss?:)

Sometimes there are wiser words then my own, to show what is "healthy and happy" with the research into quantum gravity? "A cynic" needs to wipe the spit from their chin, while recogizing what is really going on? We want a well balanced approach.

Approaches to the Quantum Theory of Gravity by the PI Institute

Two methods evolved in the theory of elementary particles to describe such quantized flux tubes. The one, called the loop method, studies them using the basic laws of electricity and magnetism, combined with quantum theory. The second, called string theory, postulates that the quantized flux tubes may be treated as fundamental in their own right, and the laws of electricity and magnetism derived from them.

Many theorists believe that these two points of view are actually equivalent—just different ways of studying the same thing from different points of view. The idea that they are the same is called duality, which here, as in other areas, signals that the same object is being studied with different ideas and methods.

Thursday, September 07, 2006

Quantum Hall Effect

This article below was set in motion by Stefan's article,"Pencils, Black Holes, and the Klein Paradox", at Backreaction. B will have to offer her perspective on the blackhole analogy. I offer mine.:)



The fractional quantum Hall effect continues to be influential in theories about topological order.


It is interesting to see the interconnecting links of recent between the different blogs on the internet in terms of what information is being relayed back and forth without some understading of what is going on?

Number theory is the type of math that describes the swirl in the head of a sunflower and the curve of a chambered nautilus. Bhargava says it's also hidden in the rhythms of classical Indian music, which is both mathematical and improvisational. He sees close links between his two loves -- both create beauty and elegance by weaving together seemingly unconnected ideas.

As part of a Morning Edition series exploring the intersection of art and science, NPR's Richard Harris reports on the beauty of mathematics, its ties to art -- and the man who straddles both worlds.


So you learn to see relations where one might not of have before. "Computerization techniques" that would help us understand new ways in which transmit information?

An Ultimate Theory in Physics?

Shahn Majid's research explores the world of quantum geometry, on the frontier between pure mathematics and the foundations of theoretical physics. He uses mathematical structures from algebra and category theory to develop ideas concerning the structure of space and time. His research philosophy drives a search for the right mathematical language for a unified expression for the ideas of quantum physics, founded on the notion of non-commutative geometry

While above I may have introduced the particular interest of Majid's in terms of beats in nature and number counting, it is with some understanding that "poetical desire" can have come "other issues" which rise up from schemas of nature?

The subject in its modern form has also been connected with developments in several different fields of both pure mathematics and mathematical physics. In mathematics these include fruitful interactions with analysis, number theory, category theory and representation theory. In mathematical physics, developments include the quantum Hall effect, applications to the standard model in particle physics and to renormalization in quantum field theory, models of spacetimes with noncommuting coordinates. Noncommutative geometry also appears naturally in string/M-theory. The programme will be devoted to bringing together these different streams and instances of noncommutative geometry, as well as identifying new emerging directions


So I mean if you are into the Riemann Hypothesis, you might wonder how such patterns sought by Ulam would have been of interest to people like Robert Laughlin and his ideas on "emergence." What "number systems" would arise from the first principle?

In a Pascalian sense" you might understand this now, as isssuing from some inherent "ordered" chaos?

Ulam's interest was on a high energy event( we know what that was, don't we?)? So what order can come out of such chaos?




This is the essence of the problems with transmitting information while paying witness to the origins of the math brought forward to the mind's eye from an understanding of the "birthing of new universes?"

Update:

I never saw his "site topic Monday, September 04, 2006 until yesterday "after" constructing my post.

Links to "previous posts linked in quantum hall effect" should give some idea about previous knowledge regardless of PP Cook's posting. Just wanted to set that straight.

See:

P. P. Cooks, "To Commute or not to Commute..."

Wednesday, September 06, 2006

Undercut Philosophical basis , "What have you?"

In "Beyond the dance of the sun" I show what we take for granted from a "observational standpoint," and try to increase perception, based on the quantum views.

Is mathematics Invented or Discovered?

"Philosophy In The Flesh"

LAKOFF:
When you start to study the brain and body scientifically, you inevitably wind up using metaphors. Metaphors for the mind, as you say, have evolved over time -- from machines to switchboards to computers. There's no avoiding metaphor in science. In our lab, we use the Neural Circuitry metaphor ubiquitous throughout neuroscience. If you're studying neural computation, that metaphor is necessary. In the day to day research on the details of neural computation, the biological brain moves into the background while the Neural Circuitry introduced by the metaphor is what one works with. But no matter how ubiquitous a metaphor may be, it is important to keep track of what it hides and what it introduces. If you don't, the body does disappear. We're careful about our metaphors, as most scientists should be..


So I asked myself a question.

What if the condensation of the human brain was the reverse, of Damasio's First Law. I mean we can train the neuron pathways to be reconstructed, by establishing the movements previously damaged by stroke. What is the evolution of the human brain, if "mind" is not leading its shape? A newly discovered ability called "Toposense," perhaps?

Okay now, what came first, "chicken" or "egg?"

If one had never read Kuhn, how would one know to respond in kind to the philosophical basis a David Corfield might in sharing perspective about abstractness in mathematical models?



The thesis of 'Proofs and Refutations' is that the development of mathematics does not consist (as conventional philosophy of mathematics tells us it does) in the steady accumulation of eternal truths. Mathematics develops, according to Lakatos, in a much more dramatic and exciting way - by a process of conjecture, followed by attempts to 'prove' the conjecture (i.e. to reduce it to other conjectures) followed by criticism via attempts to produce counter-examples both to the conjectured theorem and to the various steps in the proof.J Worrall and E G Zahar (eds.), I Lakatos : Proofs and Refutations : The Logic of Mathematical Discovery


Okay so you understand as a layman I like to see what is going on out there in the blogger world of mathematicians, I thought I would listen here, and do some research. I had to started out with the presumption that one may encounter and be moved from any positon.

I has to philosophical understand it first.

I have enjoyed both participating in a mathematical dialogue and, as a philosopher, thinking about what such participation has to do with a theory of enquiry. The obvious comparison for me is with the fictional dialogue Proofs and Refutations written by the philosopher Imre Lakatos in the early 1960s. The clearest difference between these two dialogues is that Lakatos takes the engine of conceptual development to be a process of

conjectured result (perhaps imprecisely worded) - proposed (sketched) proof - suggested counterexample - analysis of proof for hidden assumptions - revised definitions, conjecture, and improved proof,

whereas John, I and other contributors look largely to other considerations to get the concepts ‘right’. For instance, it is clear that one cannot get very far without a heavy dose of analogical reasoning, something Lakatos ought to have learned more about from Polya, both in person and through his books.




I was quick to point out what I say about "Observation pays off," and it quickly recieved the trash box. That's not dialogue. :)

Albrecht Dürer(self portrait at 28)

It's about paying carefull attention as to what is created for us in images and paintings. Noticing the "anomalistic behavior" that might be brought forth for our human consumption. It required a metamorphsis for change.

Prof.dr R.H. Dijkgraaf

In that case I pointed out the work of Melencolia II
[frontispiece of thesis, after Dürer 1514]by Prof.dr R.H. Dijkgraaf
showing Albrect Durer's images repainted to suit his thesis? So I delved deeper into the image portrayed.

On the surface this information is about what we see, yet below it, it is about seeing in ways that we are not accustom. So, the journey here was to show the nuances that invade perception, and then show what leads further into the understanding of what happens out there in the physics world in regards to the summation of Prof.dr R.H. Dijkgraaf's picture of the original.

Wednesday, August 30, 2006

A Constant that Isn't Constant?

Now I am wrting this because some are persistent about the speed of light.

I have looked at this and tried to accompany this thinking with actual work that has been put out there, and that has developed along these lines.

I will give a list of links and thiking that I had archived for looking at this issue and explain as best I can what one must look for.

Since the 1930s physicists have discussed whether the constants that appear in the equations for the fundamental laws of physics--such as the speed of light in vacuum and the electron charge--are actually constant. If they have changed over time, nature may have worked in different ways at different times, even if the equations themselves have remained fixed. Modern theories that attempt to unify gravity with the other fundamental forces leave room for such a time-dependence. But it's not easy to look for the effect. If the speed of light were slowly decreasing, for example, we might never know it, because our measuring apparatus might be shrinking at the same time.

John Webb, of the University of New South Wales in Australia, and his colleagues, focused on the fine structure constant, which goes by the Greek letter alpha, because it has no units and is independent of any measurement system. Its current value of roughly 1/137 could not have been very different in the past, as that would have spelled trouble for our very existence. A variation in alpha by more than a factor of ten would imply that carbon atoms could not be stable, and organic life could not have arisen.


So I'll deal first with the Fine Struture Constant and what I have got here. Stories in the news reflect at a fundamenatl level what is going onin the society of scientists? Whether a journalistic flavour is good or not, the basis of these myths propogated, if they are ever relegated to the "weird" or something not quite right, then one questions whether such journalistic behavior is very good?

But like myths, we look past the haze and fog to try and discern why such impulse and flavour was ever drawn to the topic at hand, and what is really going on in the society of scientists.


Change's in the Fine Structure Constant?

The world's most precise atomic clocks are now made from "atomic fountains". A gas of atoms within a vacuum chamber is trapped by a set of intersecting laser beams and cooled to a temperature close to absolute zero. The ball of atoms is then tossed vertically into the air by changing the frequency of the lasers and it passes through a microwave cavity on its way up and also on its way down as it falls under gravity. The whole process is then repeated.


Part of this attraction for me, was what was called "resonance curve."

So let's move on here.

As Van Den Broeck concludes: "
The first warp drive is still a long way off but maybe it has now become slightly less improbable.
"

An idea for achieving faster-than-light travel suggested by the Mexican theoretical physicist Miguel Alcubierre in 1994.1 It starts from the notion, implicit in Einstein's general theory of relativity, that matter causes the surface of spacetime around it to curve. Alcubierre was interested in the possibility of whether Star Trek's fictional "warp drive" could ever be realized. This led him to search for a valid mathematical description of the gravitational field that would allow a kind of spacetime warp to serve as a means of superluminal propulsion...


But there was a problem for me as I looked at this. I mean, if something is to attain the "speed of light" what happens to the ship? Of course along the way you meet people and learn things, and they extend the thinking.

Does it change what we know?

The ESAA group was founded with the ever present human nature of exploration in mind. The ultimate goal of the group is to physically explore the outer most human reaches, with an emphasis on intellectual exploration to achieve such goals. ESAA was founded by Fernando Loup, Edward Halerewicz, and David Waite to begin investigations into plausible methods to probe the outer reaches of known science. Fernado Loup a mathematician by trade was interested in exploring mathematical possibilities which may allow for superluminal travel. Edward Halerewicz a beginning physics student was primarily interested in popularizing advanced physical theories to encourage "outside the box thinking." David Waite a seasoned physics student was also interested in exploring the limits of known science and kept radical proposals grounded in real world physics. These three thinkers came together and discussed a recent theory within general relativity which would allow for serious superluiminal discussions.


Here is more on the Group which is now called "Stardrive.

Don't tell Lubos, because he does not accept his Martian ancestry. :)Am I a Et Alien?

"



Background on ESAA-Now Stardrive

Paul Karl Hoiland - Feb 10, 2004 7:20 am
In 1994 a Mexican mathematician, Miguel Alcubierre, discovered solutions to Einstein's equations which allow warps in the space-time metric to travel faster than the speed of light. But the proposal Dr. Alcubierre made was unrealistic on three basic grounds:

1.) It required a huge amount of negative energy. 2.) It displayed no casual connection of the ship with the field itself. 3.) The exotic energy states involved violated certain quantum energy conditions like the AWEC.

The ESAA group was founded with the ever present human nature of exploration in mind. The ultimate goal of the group is to physically explore the outer most human reaches, with an emphasis on intellectual exploration to achieve such goals.

ESAA was founded by Fernando Loup, Edward Halerewicz, and David Waite to begin investigations into plausible methods to probe the outer reaches of known science. Fernado Loup a mathematician by trade was interested in exploring mathematical possibilities which may allow for superluminal travel. Edward Halerewicz a beginning physics student was primarily interested in popularizing advanced physical theories to encourage "outside the box thinking." David Waite a seasoned physics student was also interested in exploring the limits of known science and kept radical proposals grounded in real world physics. These three thinkers came together and discussed a recent theory within general relativity which would allow for serious superluiminal discussions.

These discussions were opened in December 2000 to all that were interested within a yahoo discussion forum called the "Alcubierre Warp Drive" Club, named for the proposed superluimnal theory. The active members of the yahoo club then christened a name for themselves which became ESAA. The name ESAA was created by a club supporter named Simon Jenks, which is a Greek acronym for E Somino Ad Astra, or "From a Dream to the Stars." ESAA is an open and diverse group of individuals who are interested in seeking out nature's secrets to make some of mankind's most profound dreams come true.

The ESAA group consist of physicists, mathematicians, engineers, students, and layman whose members are spread throughout the globe. All members have an equal say on group developments and collectedly the group has worked on three separate modifications to "Warp Drive" theories alone. In more recent times Dr. Paul Hoiland has become a valuable member of the ESAA group. Bringing much needed experience and wisdom to the group as well as creating the Journal of Advanced Theoretical Propulsion, based on the ESAA philosophy.

ESAA History on the Warp Drive

The online discussion forum the Alcubierre Warp Drive, began as a novel experiment, where members would answer questions that interested parties had for the new science. The early discussions within the Alcubierre Warp Drive began with philosophical debates, random brain storming, and slowly evolved to include mathematical discussions. It was during this new phase where Waite joined the club discussion, and we carefully began discussing the ramifications of his proposed warp drive. Unfortunately as soon as the mathematics became the bulk of the discussion, most of the philosophical debates were lost, but at this point Fernando Loup and Edward Halerewicz began to describe the possible consequences of Waite's space-time. During the discussion of Waite's idea the club was very grateful to receive advice and guidance from the very busy but gracious Dr. Alcubierre. And it was at this point that simply entertaining the idea of a new warp drive became a much more formal process, and a new theory of its own right began to form.

The three early founders put together a paper which tried to levitate some of the problems with the "Alcubierre Warp Drive," (gr-qc/0009013) specifically reducing the amount of negative energy required within the theory. The paper was posted at the LANL ArXiv and was entitled "Reduced Total Energy Requirements for a Modified Alcubierre Warp Drive Space-time" (gr-qc/0107097). The paper also was not accepted for publication in established journals do to the inexperience of the authors in writing for academia. Also the paper was later found to have a few problems, e.g. the lapse function used to lower the energy requirements distorted time within the "warp bubble."

Since the energy problem was dealt in more creative ways such as varying the warp bubbles parameters as suggested by Chris Van Den Broeck (gr-qc/9905084), the ESAA group decided to attack another problem. One of the problems raised with the Alcubierre Warp Drive was that its superluminal nature would be impossible to control. If this were the case then using Warp Drives for superluminal travel would be out of the question, new members joined the ESAA group and decided to construct another paper.

The group wanted to know how superluminal motion would affect null geodesics and how this might be used as a clue to have control with a superluminal warp drive. The second paper put fourth by ESAA was entitled "A Causally Connected Superluminal Warp Drive Space-time (gr-qc/0202021), which proposed varying null geodesics to counter the superluminal problem. With this work several esteemed physicists gave there opinion on the paper, they largely argued against it because horizons will always form with superluminal motion. However ESAA argued against this reasoning as the horizons are still present they are simply moved by a dual light cone interpretation for space-time, the horizons just occur at another place. Expert opinion on this matter was that even if that held up, we couldn't show that a dual light cone interpretation is possible.

From this point ESAA has had some heated arguments, which gained some enemies and made a few friends. It was however mutually agreed that such a paper would never be accepted in an existing journal and so no additional publication was pursed on this paper.

The next paper proposed by the ESAA group was a paper to explore how Warp Drive space-time affect the geodesics of photons. From Alcubierre's original paper it is not to difficult to realize how the geodesics of photons become affected as was shown by Clarke, et. al (gr-qc/9907019). However a Portuguese researcher named Jose Natario showed that energy of the photons distorted by a warp drive would be lethal if traveling near the speed of light (gr-qc/0110086). This proved to be troubling as the popular press picked up on it as being the "Warp Drives are impossible," so ESAA decided to show how Warp Drives could still be possible with these "lethal" photons. It was found that a properly chosen dynamic space-time in several layers could act to slow the dynamic nature of the photons.

This solution ESAA proposed was entitled "On the Problems of Hazardous Matter and Radiation at Faster than Light Speeds in the Warp Drive Space-time" (gr-qc/0207109). However some of the excited authors mistook the slowing dynamics for velocity, when in reality it is the energy that is reduced, so the photons are non lethal.

Further inspection by ESAA and others have shown the lethal photons are fictitious as they exist with a Cauchy Surface, the photons energy doesn't change in the "warp bubble." There's just a frequency shift caused by the Cauchy region, since there is little interest in Warp Drives do the "toy" Alcubierre model ESAA has been slow in correcting this error. For these reasons this paper has not been considered for further publication, but again have shown that warp drives are mathematically feasible. However the ESAA solution dubbed a "shield" from its science fiction counter part does indicate the possibility of a dual light cone region as suggested by the second work which might warrant further investigation.



There were questions then too about the "specific design of the ship" and the group wondered. What designs did they come up with?



Doctor Paul Karl Hoiland - Jan 27, 2004 4:26 pm
Fernando's general idea was to use certain effects to escape off the brane. But while his proposed testing of such with high energy particles could open the door to testing out aspect of the RS model in general, he basically discovered that it does not allow matter to escape the brane. I'm not sure who exactly pointed this out to him since he tended to exit our group again. During his time in our group I had discovered what he was looking at was a brane lensing effect. In studying such I discovered it modifies gravity and the path of particles on and off the brane.

In the case of the extra dimension the length or volume is determined by the bulk cosmological constant(1) on both a local and global level. Gravity becomes higher dimensional at scales where

1/r ¨ 1/r^1+N.

But little has ever been mentioned of its modification of the on the brane Minkowski metric as well as the AdS one. Generally, what Fernando had noticed is that if you adjust the local Israel condition you can change the "warp factor" and that regular positive matter can adjust this. Its almost a pity he withdrew that third paper from GRG. With a bit of modification he had a perfect way to alter gravity in any local region which would have been a great test bed for certain Brane Models in general even if it did not support his hyperdrive idea.

I think after looking at this idea one could achieve what to a remote observer was faster travel times even though you never exceed C in the local frame. It literally was the original ST style warp drive. You could travel through a Universe that is smaller with no violations of the laws of physics in either the local or remote region.



Dr. Paul seems to have removed his links from one location to the next? Well, there are other names that can be followed up, if one thought to pursue this further.

So what was Dr. Paul refering too?

See:

It is shown that our 3 + 1 Brane Einstein Universe is a trapped shell in a Higher Dimensional spacetime (Bulk). It is also shown that the Israel Condition acts like a pressure to trap matter in Einstein's Universe, and that if we overcome this pressure, we can make a particle leave Einstein's Universe and enter the Bulk. The conditions that allow the entrance to the Bulk permit its use to send signals or particles faster than the speed of the light, when “seen” from the Brane due to Brane Lensing. However, in the Bulk the particles remain subluminal. Our model differs from all the standard Braneworlds models, because all matter is trapped in this 3 + 1 Einstein Shell, independently of what the Standard Model might impose. What we propose is a new Braneworld Model using some of the features of the Chung-Freese Model, plus a way to overcome the pressure from the Israel Condition. Our model will remotely resemble the Davoudias Hewett, Rizzo modifications made to Randall-Sundrum Model that allow fermions (not only gravitons) to enter the Bulk, although we must outline that we are proposing a different idea.



  • Non-Orientation of Space-Time Proves M-Theories Compacted or Embedded Regions
  • Thursday, July 20, 2006

    Gold and Fool's Gold

    Gold
    Perhaps the highest density known is reached in neutron star matter (see neutronium). The singularity at the centre of a black hole, according to general relativity, does not have any volume, so its density is undefined.

    The most dense naturally occurring substance on Earth is iridium, at about 22650 kg·m-3.

    A table of densities of various substances:


    So of course seeing this new posting and the ideas of what the gold nugget "is," is supposed to be here in our thinking is of course. Being clarified in terms of how we look at the LHC, most defintiely. Having expert opinion on this is always important. for sure.

    Fool's Gold ?

    Who is not without some blemish on the "heart values" when it had been held to a goal like truth, and had gone astray? It just matters that you try, and that you hold this value in front of your eyes, as you progress through life.

    I was at a loss for what would describe "this beginning" and having looked at what is attained in the "Pascalian triangle", how could I not learn of the spiral induced numbers that lie at the very heart of such creations.

    You have to understand what the basis of what this triangle is based upon. I gave clues here.

    Some fractorial mathematical based idea, exposed to the matters, as crystaline objects of perception unfolding? Wolfram?

    NPR's Richard Harris reports on the beauty of mathematics

    How are some things built, that you would ignore "the mathematics at the basis of experience." Having such a geometrical basis is very important. I may call it "Algebraic equations" of Dirac(Lubos take note:), but it is more then that, and it is in the emergence of strings, that we recognize where the conditions are, as the strings basis? You had to understand "the entropic" as well as the CFT issues from the blackhole state? What are the initial conditions?

    If I say microseconds, you should immediately assume it is after the big bang.:)Topological "geometrics" eh? :) is much different, then what we see classically of the 3+1? You remember "Klein's ordering of the geometries," of course? Right?

    Gold in the Landscape?

    I was looking for a specific posting on "Fool's gold" so I thought of Clifford's at Cosmic Variance and the post he created. A specific comment that I made. No, this does not imply anything against Clifford. :)

    Here you might refer to the points between Lubos and Bee, about the "initial conditions?" It's "beyond" the placement of what is held in microseconds, and the arrow of time. What! Before time began?

    So where is that? What already existed?

    However, don't be fooled! The charm of the golden number tends to attract kooks and the gullible - hence the term "fool's gold". You have to be careful about anything you read about this number. In particular, if you think ancient Greeks ran around in togas philosophizing about the "golden ratio" and calling it "Phi", you're wrong. This number was named Phi after Phidias only in 1914, in a book called _The Curves of Life_ by the artist Theodore Cook. And, it was Cook who first started calling 1.618...the golden ratio. Before him, 0.618... was called the golden ratio! Cook dubbed this number "phi", the lower-case baby brother of Phi.


    What a Cosmologist Wants From String theory by David Wand


    I mean have tried to instill a good foundational perspective of what happens, and what is percieved, in terms of the joining of microsperspective views in regards to the nature of the cosmo?

    So what is not revealled here in "my thinking" although we have been directed to the process of the "collidial views" imparted by expert opinion and further glossed by Q's blog building to face this thinking process? :)




    A debate/dialogue is always a good thing to initiate, and I have not be too lucky to have somebody to run against my thinking. It's a relief Q. As you say, "I am looking for truth."

    So where I am going to go from here? :) Should I go?

    Well science has this thingy about experiment and beyond that, beyond the standard model, what thinking shall I introduce? Something "beyond the 3+1" perhaps? :)

    Monday, June 26, 2006

    Continuing with the Foundation

    An important thing to remember is, a House Will Become the Home. There are many things that will go into our homes? In the dream world, this home, will become the backdrop for all the things you will measure in life?

    If you thought the highest ideals in life might have been expressed, where shall you do this? One place I know, is underneath the peak of the roof. How about you? YOur living room? Your kitchen and the health with which you will engage life?

    But still we are along way off to concretizing "this model" in your mind. There is much work to do and a full day ahead.

    "Geometry" is Measuring the Earth

    There is a great appreciation to the developer of this site who has helped me see where such measure and evolution, is important, as to what constitutes the house. What goes into it.

    How did human beings come to use mathematics to describe the world around them? One of the early motivators for humans to perfect a language for communicating about the world in terms of numbers came from the need to measure the Earth. People were learning to build large temples and cultivate large fields. These people had spiritual and practical needs for understanding how to measure and describe the space around them.


    As I mentioned earlier, the frame of reference is very important. Here the earth is the foundational aspect we are working with, yet the point within space that we are using had to be level, so shooting for that within the space provided between earth and the height with which we will move our foundation walls, is critical to levelnesss and 90 degree angles, as well as, making sure the pythagorean angles on the ground are square too to our "two dimensional" planning.

    Blog Pictures

    There must be a limit to the number of pictures that I can upload to this the blog posting, as it will not allow other images that I wish to convey, alongside of this construction that is going on. So I guess I have to link now within context of this posting originally developed?

    I should say "Ourhomeconstruction images" refer to my daughter-in-law and son's house. I am the "humble servant" in this adventure of theirs.

    The footing size here was sixteen inches wide and approximately eight inches deep. This depth varance chanegs of course with the earth, so it was extremely important that we get our level height, while such distances inside the footings, maintain the level in space that we had shot previously.

    It has been ten days since my son and I have started. I wanted to show some of the pictures that he had been taking as we have progressed.

    In those footings and in the foundation walls we placed rebar which will make then much sturdier to the pressures of earth against them, as well as the backfill that will go on. In the design of this home two extra inner walls were placed to help to make sure any settling that does occur in new homes, does not happen here.



    There are reasons for this, and in my son's case because of the type of heating system that he will be using, I think this a good idea too. INstead of the standard forced air which occurs lots in this location of the country, he will be using a radiant heat from the floor system, with piping being cemented, on both floors. This is a much cleaner way in which to heat one's home and add cooling to the house in the summer. The heating tubes will have fluid pumped through them from a "on demand boiler" that wil heat the floor section accordingly.

    It helps sometimes to record the evolution of the process so that one does not forget.

    There are a lot of things my son had to do in order to make sure that we were consistent with our measures and that these were maintained.

    The one wall within these froms "is movable" so that when the concrete fills, it pushes it out to the full width of eight inches in this case, butting up quite tight to the ties that go throughh these foundation walls.



    So having the footings in place we are and have moved on too, the foundation walls. Today the concrete was poured for the foundation walls. That took us about three days to put up. With help from people we were able to make this transition fairly quickly from the daughter-in-law help to screw in wood crossties to hold the footing the distance of 16 inches, to my wife backfilling the edges of the footing, to help hold the concrete boards in place.

    While we work in coordinated frame of reference, GR is "a result" having descended to the four dimensions perspective from a fifth dimensional view? That is what Heightened perception is?

    Fifth dimension (Wikipedia June 27 2006)


    I placed the following picture to be consistent with the end of this blog entry and of course to align the article within the appropriate pages.

    Editing, for appearance I guess.

    M.C. Escher's work and the Official Site



    My son used two by six in this operation and the distances to the ground required more earth backfill then others. Overall, I think 2x8 would have been sufficient.

    So tomorrow begins the stripping down of everything we put up to support the foundation, and foundation walls.

    Omar Khayyám the mathematician (6 april 2006 Wikipedia)

    He was famous during his lifetime as a mathematician, well known for inventing the method of solving cubic equations by intersecting a parabola with a circle. Although his approach at achieving this had earlier been attempted by Menaechmus and others, Khayyám provided a generalization extending it to all cubics. In addition he discovered the binomial expansion, and authored criticisms of Euclid's theories of parallels which made their way to England, where they contributed to the eventual development of non-Euclidean geometry.


    I will again fast forward here, to the perspective of "hyperbolic geometry," so people understand that leading from Euclidean perspective, there are results to seeing GR on a cosmological level in it's culmination, from parallel lines, to non-euclidean perspectives.

    While my son stands on a mound of dirt, his heightened peception(the ascension to non-euclidean realm) and what is taking place in his mind, goes beyond the frames of refeences we use, yet, they are coordinated within them. Still the dynamcial nature of what constitutes that house, moves within those frames of reference in dynamical ways. Hallways become the transiton betwen the deeper levels of seeing? The changes within the house and it's rooms?

    What they did not understand is that moving GR down to the quantum level is the insight with which the new direction of theoretics and physics needed to go. So developing consistancy with Quantum perspective was necessary and within this home, dynamical qualities existed, that move within these frames of reference. Yet, Gr does not work well on the quantum level, so how did such unification take place?

    Friday, June 23, 2006

    THEORETICAL MATHEMATICS

    Before I was to ask the question below I had gone through the links given by Alejandro RIvero and in and thinking of the work I had been doing to understand this relation between mathematics and the physics world.

    Of course as you know I am deeply involved in building a "foundational perspective" in a number of ways, which takes up a enormous amount of time. So having these oportunities to advance my thinking, are extremely difficult now, besides putting in a full days work in the heat and misquitos.

    I ask this question on Cosmic Variance for obvious reasons.

    A VIEW OF MATHEMATICS by Alain CONNES

    Most mathematicians adopt a pragmatic attitude and see themselves as the explorers of this mathematical world" whose existence they don't have any wish to question, and whose structure they uncover by a mixture of intuition, not so foreign from poetical desire", and of a great deal of rationality requiring intense periods of concentration.

    Each generation builds a mental picture" of their own understanding of this world and constructs more and more penetrating mental tools to explore previously hidden aspects of that reality.


    After reading here, some things pop into my mind about the work I had gathered from Hooft, on the defintions of "theoretical developement."

    When I read this it seem to bring it together a little more for me.


    String theory clearly appears to be strikingly coherent. What seems to be missing presently, however, is a clear description of the local nature of its underlying physical laws. In all circumstances encountered until now, it has been imperative that external fields, in- and outgoing strings and D-branes are required to obey their respective field equations, or lie on their respective mass shells. Thus, only effects due to external perturbations can be computed when these external perturbations obey equations of motion. To me, this implies that we do not understand what the independent degrees of freedom are, and there seems to be no indication that these can be identified. String theoreticians are right in not allowing themselves to be disturbed by this drawback.


    So you know you are stifled by a problem? You need ways in which to think about this?

    So, in thinking about the mathematics and physics involved, are the two so wide apart that we can say that the world of the "theoretical mathematics" is so far from the reality of the "average human being," that they are to smart for us? Or is it, that they "see" in different ways?

    That is the jest of what I see in Dirac's wordings I highlight or Alain CONNES words for more thinking. It is not enough for me to be dismissed out of hand on "string theory", for what has been experimentally challenged, should be cast aside for, "other roads to quantum gravity," so easy.

    I see something beautiful in it myself, of course, being biased from the "position of speaking" that I do by name only:)

    Responsibiity of course rings very well within my mind, as I write these words. It is not my intention to take people down roads and divert them from the roads that lead them to quantum gravity? But to keep my self critically thinking about the problems that are being spoken by, engaging in, the topic Sean produced in "stringtheory backlash."

    There is some healing that needs to be taken care of, that has been inflicted on those who are speaking, for and against string theory, while it is perspectve "on vision" that must be maintained? The algebraic equations are something I am working on to develope.

    Tuesday, June 06, 2006

    Supersymmetry<->Simplistically<-> Entropically Designed?



    So of course I am troubled by my inexperience, as well as, the interests of what could have been produced in the "new computers" of the future? So in some weird sense how would you wrap the dynamics of what lead to "Moore's law" and find that this consideration is now in trouble? While having wrapped the "potential chaoticness" in a systemic feature here as deterministic? Is this apporpriate?

    In the presence of gravitational field (or, in general, of any potential field) the molecules of gas are acted upon by the gravitational forces. As a result the concentration of gas molecules is not the same at various points of the space and described by Boltzman distribution law:


    What happens exponetially in recognizing the avenues first debated between what was a consequence of "two paths," One that would be more then likely "a bizzare" while some would have consider the other, the cathedral? Leftists should not be punished Lubos:)

    So what is Chaos then?

    The roots of chaos theory date back to about 1900, in the studies of Henri Poincaré on the problem of the motion of three objects in mutual gravitational attraction, the so-called three-body problem. Poincaré found that there can be orbits which are nonperiodic, and yet not forever increasing nor approaching a fixed point. Later studies, also on the topic of nonlinear differential equations, were carried out by G.D. Birkhoff, A.N. Kolmogorov, M.L. Cartwright, J.E. Littlewood, and Stephen Smale. Except for Smale, who was perhaps the first pure mathematician to study nonlinear dynamics, these studies were all directly inspired by physics: the three-body problem in the case of Birkhoff, turbulence and astronomical problems in the case of Kolmogorov, and radio engineering in the case of Cartwright and Littlewood. Although chaotic planetary motion had not been observed, experimentalists had encountered turbulence in fluid motion and nonperiodic oscillation in radio circuits without the benefit of a theory to explain what they were seeing.

    13:30 Lecture
    Edward Norton Lorenz
    Laureate in Basic Sciences
    “How Good Can Weather Forecasting Become ? – The Star of a Theory”





    So this talk then is taken to "another level" and the distinctions of WeB 2.0 raised it's head, and of course, if you read the exponential growth highlghted in communities desemmination of all information, how could it be only Web 1.0 if held to Netscape design?



    I mean definitely, if we were to consider "the Pascalian triangle" and the emergence of the numbered systems, what said the Riemann Hypothesis would not have emerged also? The "marble drop" as some inclusive designation of the development of curves in society, that were once raised from "an idea" drawn, from some place?

    Monday, June 05, 2006

    Types of Blogging Software



    Ask yourself this? What is the new kernel to be, if we had for one moment presented the opportunities for the using Riemann hypothesis, and contained the very idea as a philosophy presented within this blog?

    A VIEW OF MATHEMATICS by Alain CONNES
    Each generation builds a mental picture" of their own understanding of this world and constructs more and more penetrating mental tools to explore previously hidden aspects of that reality.


    Would such a "paradigmal change" allow for insightual software development to take a turn for the better if the understanding existed, that one had already left the cave, and saw the aspects of probable outcomes, as more then the primes and it's integrations with physics mentality, along with theoretical development?

    Micro-quantum structures that are exemplfiled, in Monte Carlo methods?

    Are we "FREE" to Express?

    While I have enjoyed the blogging experience of Blogger.com, and the integration of development that had been going on, the questions remain, as to where this information is deposited and how the moderation of "such a tool" is enforced?

    Like many important concepts, Web 2.0 doesn't have a hard boundary, but rather, a gravitational core. You can visualize Web 2.0 as a set of principles and practices that tie together a veritable solar system of sites that demonstrate some or all of those principles, at a varying distance from that core.



    I have a certain ideology about trying to bring together as much information as possible, by asking, if image linking, and phrase connections, do not involve copyright infringements, and allow the versatility of blogging experience, while respecting the owners of images and wording, while connected directly to their source.

    Linux is subversive. Who would have thought even five years ago (1991) that a world-class operating system could coalesce as if by magic out of part-time hacking by several thousand developers scattered all over the planet, connected only by the tenuous strands of the Internet?

    Certainly not I. By the time Linux swam onto my radar screen in early 1993, I had already been involved in Unix and open-source development for ten years. I was one of the first GNU contributors in the mid-1980s. I had released a good deal of open-source software onto the net, developing or co-developing several programs (nethack, Emacs's VC and GUD modes, xlife, and others) that are still in wide use today. I thought I knew how it was done.

    Linux overturned much of what I thought I knew. I had been preaching the Unix gospel of small tools, rapid prototyping and evolutionary programming for years. But I also believed there was a certain critical complexity above which a more centralized, a priori approach was required. I believed that the most important software (operating systems and really large tools like the Emacs programming editor) needed to be built like cathedrals, carefully crafted by individual wizards or small bands of mages working in splendid isolation, with no beta to be released before its time.



    This has been on my mind as I brought together many aspects of the information that is out there. From the respectable information posted by scientists and their personal experiences, to those shared by all, through such blogging experiences. So what was the battle brewing about from those early days and the struggle to develope communities, sharing information, and who are these people today?

    AOL=Netscape? Microsoft? Google? Yahoo?

    How would such blogging experiences allow the movement forward of society, and the thinking brain, this internet has become?

    Are there concerns, that the human being once exposed to the vastness of this information, could bring it together in such a way, as to insight the "new idea" that would forward research and developement? Encourage our minds to percieve in other ways that we are not accustom? I gave an example at the very beginning of this post in regards to the Riemann Hypothesis.


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


    This is important to ask, because if such an ability is focused through the individuals efforts using such a medium, how could/would it be exploited, that it could be brought to the forefront of the "thinking brain/internet" and find indeed, that such information is useful?

    Meddle then in the internal structure and enforce the rights of deposition as to the respository, and deal with it as you like?

    The information depository costs money, I know? Image transference costs money. Then how shall "the dream of the thinking mind" ask, that if the repositories are the resources held in abeyance, until used as seen fit, then why not/should disrupt the information gathering and make it disjointed, while we/you look at it? Before it reveals it's state secret? An open society, right? People who are free?

    Robert Laughlin:
    Likewise, if the very fabric of the Universe is in a quantum-critical state, then the "stuff" that underlies reality is totally irrelevant-it could be anything, says Laughlin. Even if the string theorists show that strings can give rise to the matter and natural laws we know, they won't have proved that strings are the answer-merely one of the infinite number of possible answers. It could as well be pool balls or Lego bricks or drunk sergeant majors.


    This would mean that the very ideas of the internet explosion and control of it becomes in question, as well as, the provders we use to express ourselves on the internet?

    How will these repositiories change then in technologies that you and I are very quickly connected in ways that the human mind/internet becomes quite capable of seeing, in ways it is not accustom?

    What revolution/paradigmalchange will then happen, that the very experiences we now enjoy, will be defuncedt with all the software solutons to metigate the ability for the individual to do what any of us can do freely, without any ofthe blogging software now demonstrated below?

    Shall we choose carefully, read the requirements of, and what conclusion have you reached?

  • b2evolution

  • bBlog

  • Blogger

  • Bloxsom

  • Blojsom

  • Drupal

  • ExpressionEngine

  • Geeklog

  • Greymatter

  • iUpload

  • LifeType

  • LiveJournal

  • Movable Type

  • MvBlog

  • Nucleus CMS

  • PostNuke

  • Roller Weblogger

  • Serendipity

  • Slash

  • TypePad

  • Typo

  • TYPO3

  • WordPress

  • Xanga


  • If we are looking for the new "idea" where shall it arise from then? It is apparent that the early thinking in cosmology has been changed(to include strings ina time sequence of events evn thoguh they be micro seconds) and so too, the values of measure in "time," recognized as problematic, in terms of it's discrete value, when it is very well understood that continuity of expression can be very smooth(yet is it?)?

    The count of Primes begins in Chaos. If we were to think of the Riemann Hypothesis assigned to a scale as an approximation to the prime distribution function, then how woud any pattern suffice to be an "emergent property" of that chaos?

    Wednesday, May 10, 2006

    Intuitively Compelling

    While it does appear that Einstein has indeed given us a paradigm which was indeed world-changing and affected everyone, how well might he have known himself?

    He was "driven," as to the" focus and outcome" of GR's growth? Yet, being Jewish, and the meaning he might have had for God(Old ONe) had a perspective about nature, that was embued with a certain terminology?

    So having engaged the wording of scientist as of late, I wanted to stay as close as I could to the thinking being developed as they engaged society through their blogging site perspectives.

    It was most troubling that any discussing of the timeline and any other constructs place in accordance with that timeline, would/could have been insulting to some, even though it fit into a perspective in terms of microseconds, lesss then somany eseconds of expression.

    Again for sure, "thought constructs," most appropriate measures as yard sticks of reality conforming to model approaches? Be open.

    Thomas Torrance
    In 1978, he won the Templeton Prize for Progress in Religion for his contributions to theology and the relationship between it and science


    You must understand there is a current struggle in today's world with those who support the Templeton Foundation, it's scientists, and those who believe science should remain free of such influences, so they propagate any information forthcoming as tainted?

    Einstein and God By Thomas Torrance"Do you believe in the God of Spinoza?" was asked of Einstein.


    I can't answer with a simple yes or no. I'm not an atheist and I don't think I can call myself a pantheist. We are in the position of a little child entering a huge library filled with books in many different languages. The child knows someone must have written those books. It does not know how. The child dimly suspects a mysterious order in the arrangement of the books but doesn't know what it is. That, it seems to me, is the attitude of even the most intelligent human being toward God. We see a universe marvellously arranged and obeying certain laws, but only dimly understand these laws. Our limited minds cannot grasp the mysterious force that moves the constellations. I am fascinated by Spinoza's pantheism, but admire even more his contributions to modern thought because he is the first philosopher to deal with the soul and the body as one, not two separate things.


    The Nature of Reality
    Having read all of Jane Roberts books( some might not have taken a shine to such information, but part of the developing perspective included information that was written "intuitively compelled"), so she might have answered a little different, but in essence, thought, to the nature of the universe.

    I'll try and find her definition of the building blocks.

    So you are give this question as to what the nature of the unverse is? What is it, and people are lead through theoretcial constructs to develope perspective on what that question might be?

    Robert Laughlin, does not care if they are Lego bricks or Drunk Sargeant majors:)

    Self Organization of Matter, by Robert Laughlin

    What Lies Beneath, by Eugene Samuel
    Likewise, if the very fabric of the Universe is in a quantum-critical state, then the "stuff" that underlies reality is totally irrelevant-it could be anything, says Laughlin. Even if the string theorists show that strings can give rise to the matter and natural laws we know, they won't have proved that strings are the answer-merely one of the infinite number of possible answers. It could as well be pool balls or Lego bricks or drunk sergeant majors.





    One had to indeed understand that the maps drawn, were drawn from thOught constructS engaged from wanting to understanding where first principles may have emerged from?

    How would you do that without undertanding where this map began?




    So what use to Engage Strangelets, New Physics



    So from a resulting comprehension of such first principles, there came this resulting course of events, that went through all the phase transitions, to become what it is, in context of the strangelet, a perspective about a measure in the IceCap?



    I have been following this research for sometime now. I will be updating this information here].

    One has to know where to begin with all this information, and that such "mental constructs" had to know where this beginning was. While there are few here mathematically endowed, I wanted to come here and share perspectve in context of the neurological idea behind the mental constructs that we develope in science.

    This is not without foundation that, "globally," when we now see, we had indeed step back to access the greater potential in "thought generation," and that "mass psychosis," (could we call it that as such a verification by the masses?)" endowed to measure, experimentally verified.

    I'll wait to see if you want some time to digest and rethink, if you think, it worth doing that? :)

    True creativity often starts where language ends-Arthur Koestler


    Intuitively Compelling=Intuitive Grasp of Self Evident First Principles



    No matter the ideology spread, is there something today that is quite useful in our approaches to cognizing relevance, from "thought constructs" to actual processes, currently asking us our about the beginning of the universe?

    While such solidification ensues from taking a stand, as a concluson drawn, is it compelling as to the nature of what first principles might mean? You had to understand the current environment, to conclude an opinion about the measures and constructs, as to those measures asking if there was another way?

    You couldn't know that, unless you might have read the links of Robert Lauglhin and understood reductionistic tendencies(science), as to the nature of our universe? It's like joining quantum perspective with General Relativity? You would have to known how this was acomplished? It's result, and hence it's application within society?

    If one had not understood, shall we call it a "probabilistic discourse," to have now understood, that a new course may be set today, was different from the past, by "one additional grasp of self evident first principle?" That a new page may be written( what thinking had done so) which may change the course of our lives?

    Of course, some will not have confidence yet. :)
    That the potential exists within each of us to understand we are partaking of a quest to percieve where this point in existance might be revealled. If not at the basis of reality, then what use the math? While I generalize becuase of my inefficieny of these interpretations, the vastness of the world of math, there was some undertanding geometrically inclined, that is revealled as we followed the logic leading to GR.

    Did it mean we should be devoid of our belief in a God, if we held to science principles, while, we engaged in the subjectivity of our opinions?

    It All Began in a Dream?

    An equation means nothing to me unless it expresses a thought of God.Srinivasa Ramanujan


    So to me, it is still all out there for us to look? How we might entertain that awe and beauty in nature?

    "God does not play dice" by Thomas Torrance
    Einstein was not a determinist but a realist, with the conviction that, in line with Clerk Maxwellian field theory and general relativity theory, nature is governed by profound levels of intelligible connection that cannot be expressed in the crude terms of classical causality and traditional mathematics. He was convinced that the deeper forms of intelligibility being brought to light in relativity and quantum theory cannot be understood in terms of the classical notions of causality–they required what he called Übercausalität–supercausality. And this called for "an entirely new kind of mathematical thinking", not least in unified field theory–that was a kind of mathematics he did not even know, but which someone must find.


    Once Comsuming any Model

    It is difficult to explain how one might have "the feeling" for curvature on cosmological plateau while such tendencies for quantum perception would be rule by uncertainty?

    I wonder if such states held in context to what consciousness might be able to percieve at that level of high energy areas, would give indications to particle natures and the curvatures assigned to each particle nature. What gave these meomntum ad emotive feelings to such travel from the initial contact?

    How are we able to pierce this veil and environment, while talking about the nature of such curvatures? We wouldn't survive realistically, yet, we are able to perform "thought constructs" to such models?

    So looking at time dilation, the photon within environments, what indications for such curvatures, and one gets this sense of momentum, and in another way, something that I have called toposense.

    Variable "constants" would also open the door to theories that used to be off limits, such as those which break the laws of conservation of energy. And it would be a boost to versions of string theory in which extra dimensions change the constants of nature at some places in space-time.



    Constants with and without dimensions

    Nature presents us with various constants. Some of these constants, such as the fine-structure constant, are dimensionless and are not expressed in terms of units. However, other constants, such as the velocity of light or the mass of the proton, are dimensional and their numerical values depend entirely on the units in which they are expressed. The laws of nature do not, of course, depend on a man-made system of units.

    To put this another way, if we want to measure a dimensional constant, we need a "yardstick" to make the measurement. But if we obtained one value when we measured the speed of light on a Monday, say, and a different value when we measured it on a Friday, how would we know that our yardstick had not shrunk or expanded? We would not. Moreover, if we were to interpret our observations as a change in the length of the yardstick, how could we verify it without reference to a second yardstick? Again, we could not. And so on.

    However, dimensionless constants are fundamental absolute numbers, measured without reference to anything else. Therefore, if we want to investigate if the laws of nature are changing we must measure dimensionless quantities such as the fine-structure constant or the ratio of the electron and proton masses