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Showing posts with label nodal Gauss Riemann. Show all posts
Showing posts with label nodal Gauss Riemann. Show all posts

Sunday, January 07, 2007

PLATO:Mathematician or Mystic ?

Mathematics, rightly viewed, possesses not only truth, but supreme beauty, a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.--BERTRAND RUSSELL, Study of Mathematics


One should not conclude that such a bloggery as this is not without a heartfelt devotion to learning. That I had made no great claims to what science should be. other then what a layman point of view in learning has become excited about. What may be a natural conclusion to one who has spent a long time in science. Do not think me so wanting to knock on your door to enforce the asking of education that may be sent my way was truly as a student waiting for some teacher to appear.

This did not mean I should not engage the world of science. Not become enamoured with it. Or, that seeing the teachers at their bloggeries, were "as if" that teacher did appear many times. This is what is good about it.

I did not care how young you were, or that I, "too old" to listen to what scientists knew, or were theoretically endowed with in certain model selections.

More from the Heart?


"Let no one destitute of geometry enter my doors."


You know that by the very namesake of Plato used here, that I am indeed interested how Plato thought and his eventual conclusions about what "ideas" mean. So, of course there is this learning that has to take place with mathematics.

If I may, and if I were allowed to fast forward any thought in this regard, it would be to say, that the evolution of the human being is much appreciated in what can transfer very quickly "between minds" while a dialogue takes place. Hence the title of this bloggery.

Science demands clarity, and being deficient in this transference of "pure thought" would be less then ideal speaking amongst those scientists without that mathematics. Yet, I do espouse that such intuitiveness can be gained from the simple experiment, by distilling information, from the "general concepts" which have been mention many times now by scientists.

So it is of interest to me that the roads to mathematical understanding through it's development would be quick to point out this immediate working in the "world of the abstract imaging" is to know that such methods are deduced by it's numbers and their greater meaning.

That such meaning can be assign to a "natural objector function" and still unbeknownst to the thinking and learning individual "a numerical pattern that lies underneath it. A "schematics" if you like, of what can become the form in reality.

No reader of Plato can fail to recognize the important role which mathematics plays in his writing, as would indeed be expected for an author about whom the ancient tradition maintains that he had hung over the entry to his school the words "Let No One Un-versed in Geometry Enter". Presumably it was the level of ability to work with abstract concepts that Plato was interested in primarily, but if the student really had never studied Greek geometric materials there would be many passages in the lectures which would be scarcely intelligible to him. Modern readers, versed in a much higher level of mathematical abstraction which our society can offer, have sometimes felt that Plato's famous "mathematical examples'" were illustrations rather than central to his arguments, and some of Plato's mathematical excursuses have remained obscure to the present time.


A Musical Interlude



Plato's Academy-Academy was a suburb of Athens, named after the hero Academos or Ecademos.

I can't help but say that I am indeed affected by the views of our universe. In a way that encompasses some very intriguing nodal points about our universe in the way that I see it.

While I may not have shown the distinct lines of the Platonic solids, it is within context of a balloon with dye around it, that it could be so expressive of the Chaldni plate, that I couldn't resist that "harmonics flavour" as to how one might see the patterns underneath reality. How some gaussian coordinates interpretation of the "uv" lines, that were distinctive of an image in abstract spaces.

Thursday, November 16, 2006

Three Ring Circus: Dark Energy

"Observations always involve theory."Edwin Hubble


Hopefully some day, I will be accepted as a student of this universe, and it's intrigue?



Sometimes it is necessary to understand that having come to different consclusion about the geometry of this universe that underneath the complexity of these equations a schematic drawing of reality is unfolding? I think this is where Einstein's success came from? So assume from this point a supersymmetrical view of the universe?

You can check out Wayne Hu's site for further info on computer simulation below


A simulation of large-scale structure
formation
As the Universe expands, galaxies become more and more distant from each other. For an observer, such as ourselves, it appears that all other galaxies fly away from us. The further the galaxy, the faster it appears to recede. This recession affects the light emitted by the distant galaxies, stretching the wavelengths of emitted photons due to the Doppler redshift effect. The distance between galaxies is proportionalto the measure of this effect 1+z, where z is what astronomers call redshift. The redshift can be measured for each object if its spectrum is measured.


All three geometrical positions demonstrated below each held the cosmologists to views of our universe. But we now know that Einstein may have been right. What allows us to think this way?

Sorry about the quality of artistic rendition. But you get the jest right?

Why is the universe speeding up, and what does this mean geometrically? There has to be some physics going on that would explain this? What may this be?

Current evidence shows that neutrinos do oscillate, which indicates that neutrinos do have mass. The Los Alamos data revealed a muon anti-neutrino cross over to an electron neutrino. This type of oscillation is difficult to explain using only the three known types of neutrinos. Therefore, there might be a fourth neutrino, which is currently being called a "sterile" neutrino, which interacts more weakly than the other three neutrinos.


Of course this information is based on 2003 data but the jest of the idea here is that in order to go to a "fast forward" the conditions had to exist previously that did not included "sterile neutrinos" and were a result of this "cross over."

If we look back to the measures of supernova Ia measure and find that in that time measure there were differences in the inflationary aspect of that universe, then, the universe today would have allowed us to consider the universe quite capable of changing it's speed of inflation.

While indeed we had held to inverse square law in our assumptions, what shall we do now? As you know, spending a couple of years on my own, I am learning, and yes, it shows sometimes. The "idea back then" presented by Savas Dimopoulos of Stanford University. "This gives us a totally new perspective for addressing theoretical and experimental problems," is what was understood in any theoretical development by scientists then and today?

Inverse Fourth Power Law


Savas Dimopoulos of Stanford University
Instead of the Newtonian inverse square law you’ll have an inverse fourth power law. This signature is being looked for in the ongoing experiments.


Also, I wouldn't one to think that the experimental process had been defunct what we are doing with Cosmic ray collision processes, to not include it with what the LHC is doing as well. Not only have we created the conditions for it in LHC we recognize as a natural process.

While we know of the components of our universe distributed we understand that their is a part of this whole thing that is casing some questions about what we had thought held to the big bomb's inverse square law rules.

What is causing the Speed increase?

While indeed the layman here speculates, it made more sense if we can now explain what is going on. It has been a long journey in terms of comprehension development but I must say it has been rewarding.



So while indeed I show cosmos particle showers here, it is to point out something that helps to fuel the idea behind the speeding up and slowing down of the universe? Cross over production demonstrate in LHC serves also to speak to the fluctuations in "differing speeds of inflation" in our cosmos?

The "crossover" is a point in the collision process of LHC. So by creating these conditions in the LHC, we have effectively recognized where the "new physics" will emerged from. Also, it presents the opportunity for the "first time here" to address what the effects of the LHC will do for us in terms of what has been presented in terms of the dark energy announced below.



So as close as we came to discerning the mass of the neutrino, what have we now come to know? That their could be "a form" of dark matter? The "point here" was to look for the crossover that was taking place and presenting the opportunities for "new physics" to emerge.

The Los Alamos data revealed a muon anti-neutrino cross over to an electron neutrino. This type of oscillation is difficult to explain using only the three known types of neutrinos.


I have some "thought bubbles" percolating to the surface awareness of my mind(a philosopher?), so we will have to see what strange brew materializes. This is a post in developmental mode.

Scientists using NASA's Hubble Space Telescope have discovered that dark energy is not a new constituent of space, but rather has been present for most of the universe's history. Dark energy is a mysterious repulsive force that causes the universe to expand at an increasing rate. Investigators used Hubble to find that dark energy was already boosting the expansion rate of the universe as long as nine billion years ago. This picture of dark energy is consistent with Albert Einstein's prediction of nearly a century ago that a repulsive form of gravity emanates from empty space. Data from Hubble provides supporting evidence to help astrophysicists to understand the nature of dark energy. This will allow them to begin ruling out some competing explanations that predict that the strength of dark energy changes over time.



The title itself of this blog post is not to make fun of what is happening in cosmology right now with the new announcement today. It is about "forcing the mind" to look at "Friedman's equation" in each of the rings. Now the thought is the "whole show" is the Einstein cosmsological constant circus and entertainment, that is happening simultaneously.

Yet it is the idea of the "oscillating nature" behind the geometrical principals that is what I am speculating about.

But thanks to good professor below there is an more in depth explanation shared.



Maybe with the development of the vision, "beyond the spacetime" we had come to know and love, we have now come to a unique point in time? That we understand the greater "depth of the universe" is now open for questions about it's inherent nature?