Saturday, February 25, 2006

Nature in Analog Models

"For everyone, as I think, must see that astronomy compels the soul to look upwards and leads us from this world to another."

Oh! how complete our world view would be, that I have moved quickly to the very question of all summations given. That while "visually" occupying the mind, we had been taken to the standard model's extension. That we moved beyond, to the "introduction of the graviton," as a force carrier? What world is that Plato?

Structuralists, like Plato we would be, that we seen not as Feynamn did, but as "platonic developers" as to the very alluring question of, "nature's form?" Lost was our view of the "interactions and processes" yet, seen in another way? That there is a discription ,of all of what these particles could be?

"Analogue Gravity"by Carlos Barceló and Stefano Liberati and Matt Visser

Analogue models of (and for) gravity have a long and distinguished history dating back to the earliest years of general relativity. In this review article we will discuss the history, aims, results, and future prospects for the various analogue models. We start the discussion by presenting a particularly simple example of an analogue model, before exploring the rich history and complex tapestry of models discussed in the literature. The last decade in particular has seen a remarkable and sustained development of analogue gravity ideas, leading to some hundreds of published articles, a workshop, two books, and this review article. Future prospects for the analogue gravity programme also look promising, both on the experimental front (where technology is rapidly advancing) and on the theoretical front (where variants of analogue models can be used as a springboard for radical attacks on the problem of quantum gravity).

Part of the theoretics I imagine, is trying to incorporate this into analog models for a deeper comprehension of concepts mathematically embued. Part of the deeper intuitive developement, is what attracted me to the questions about "creativity" and what can be immersed in minds of scientists. What they do with their days.

Murray Gellman:
On Plectics
It is appropriate that plectics refers to entanglement or the lack thereof, since entanglement is a key feature of the way complexity arises out of simplicity, making our subject worth studying.

As I read Feynman's words about what the scientist actually does, the human side of the scientist makes it very clear to me, that they are to be treated with the respect, as he conveyed his thoughts. As we might, treat someone who brings together "different ideas" to move conceptual understanding forward, much like those in the mathematical ways. Better to be ignored, eh?:)

Vision Can Move in the Small world

The Planck scale is the scale at which quantum gravity is believed to become important. At this scale the smooth structure of spacetime breaks down into some structure (strings, spin-foam, lattice, who knows?). The Planck length is approximately 10-35 m, which is very, very small. To get an idea of how tiny this is we can compare a Planck length LPl with the size of a proton and the size of Rhode Island. The radius of a proton is larger than the Planck length by roughly the same factor as the size of Rhode Island to the proton.

Did we ever comprehend how we would take our "vision" down to a world so small that we did not recognize that occupying the physical world of large things, there would be comparsions needed. That the "particles" that Murray Gellman speculated would emerge from some model, and become the constituents of a world created in the wonder of, "all these particles may be part of the some alternate form of the same thing?" This arose in the 1950's.

So before, Susskind and Nambu, Gellman held a interesting perspective, and from it, a question arose. It became the developing insight of string theory. Some, have abandoned the very question and idealization, having graduated to Brane world, does not mean, the very thoughts and principals embued in this focus to the small world, would have been discarded, just, that it will have gone through "revisions and progress" in conceptual design?

Analog models of quantum field theory in curved space

In condensed matter, one can construct systems where the propagation of long wavelength phonons (sound waves) is very similar to the propagation of a scalar field in a curved Lorentzian spacetime. Such systems are called 'analog models'. It is even possible to construct analogies to black holes in this manner, where the phonons that travel past a certain point cannot return. For example, consider a fluid where long wavelength phonons in the fluid propagate with speed cs, which is analogous to the speed of light in these models. Now put this fluid in a pipe and change the shape of the pipe such that the speed v of the fluid is faster than cs in one section and slower in an adjacent section. A phonon can travel "back against the current" only up to a certain point, where the the fluid speed equals cs. After that the fluid flow carries it down the pipe. This point in the pipe therefore mimics a black hole event horizon, from which nothing can escape. Other black hole features such as Hawking radiation are also present in these models. Since these models give an example of a system that has a fundamental structure at very short distances (where the fluid description breaks down), yet has a pseudo-Lorentz invariance at long distances.

Plato as a Composer

Can a different kind of thinking encase the brain's ability to "envision the abstract of space" to know that it's harmonic values can be seen as the basis of experience?

Those who would conduct the orchestra, enlisted sounds, which make a whole compositon? One, from which, if physical sight had been remove, and focused internally, had just witnessed the particle world in shower, would lead one to the climatic vision of, "nature of things." From, "it's source?" What began before this whole musical interlude, much as if, the cosmo will wait for our question as to what was?

So now the very idea of the poem wording I developed here, "no time standing always new", had me thinking about how such a cyclical processes could have ever made its way into our "completeness of views". An extension, beyond the standard model. It was a logical question and place with which responsibility can be still held, regardless, of those who have spelt out the lineage of science in research in this way(string theory model), as some disrupted process in the way of thinking?

So how would we map this whole process, while we had been taken down to such reductionistic principals. The continuity resorting to structurally discrete, while pondering this structure( what model shall you insert here, Loop, Twistors, Strings)? There are "no rules and no physics" with which we can "initiate thinking" beyond the standard model? So we see the minds very busy with such introductions, professors hired to work the field of choices. Whether to teach or not? To be devoted to a specific area, or just ponder the most difficult question, as to the natures very structure?

So now we come to a important question, having recognized the power with which the Word "Plato or Aristotle will now be invoked in your mind. That the "archetypes" had been drawn and related. Any future reference, will be in the way Plato might of felt having held his views on music? Possibly, thought about the nature of the world with structure. Developed the forms, as constituents of the way the world exists now.


  • Laval Nozzle and Blackholes

  • Accretion Disks

  • Quark Stars
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