Wednesday, June 08, 2005

Deterministic Chaos Theory and the Cosmos

This gallery was inspired by a lecture of Dr. Julien Sprott and his work.To learn how these are created, check out my Strange Attractor Tutorial. Click on the images to enlarge them.

It was important for me to reveal how I am seeing the cosmo. How the superhighway has been spoken too, in regards to the Langrange points.These points are lead to and from unstable orbits. Points, where gravity balances out between bodies, like the earth and the moon. These are not to be considered stable equilibrium points.

Here we speak of the interactions of the Sun-Earth Lagrange point dynamics with the Earth-Moon Lagrange point dynamics. We motivate the discussion using Jupiter comet orbits as examples. By studying the natural dynamics of the Solar System, we enhance current and future space mission design."

So what would these winding paths around this point look like? You had to be able to see this work on a cosmological scale and in seeing this used in practise we have now gained in deterministc systems where previously we did not recognize the multiplicty of rotations within regions afffected, between gravitational points called L1 and L2.

The Roots of Chaos Theory

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”

Now I came to the image below in a most unusual way. Now when one sees the image as a butterfly, it is not hard to see how it might have some deterministic quality to it, that Edward might thought it significant for presenting to the masses on issues of climate change?

Edward Norton Lorenz is an American mathematician and meteorologist, and a contributor to the chaos theory and inventor of the strange attractor notion. He coined the term butterfly effect.

Now as I awoke after looking at this superhighway that is used inthe Genesis project I could not have helped identifying the strange attractor, somehwere in this interactive phase spoken about in the points of unequilibrium, and as possible changes in the patwern from one orbit to another. Not only did I see this in Lorenz's image, but in another one as well. so I'll place this one later at the end.

Edward Lorenz, an American meteorologist, discovered in the early 1960s, that a simplified computer model of the weather demonstrated extreme sensitivity to the initial measured state of the weather. He demonstrated visually that there was structure in his chaotic weather model, and, when plotted in three dimensions, fell onto a butterfly-shaped set of points. This is the trajectory of a system in chaotic motion, otherwise known as the "Butterfly Effect". A system in chaotic motion is completely unpredictable. Given the configuration of the system at any one point in time, it is impossible to predict with certainty how it will end up at a later point in time. However, the motion of the chaotic system is not completely random, as evidenced by the general pattern of the trajectory in this image.
Picture courtesy of: Scott Camazine / Photo Researchers, Inc.

It all starts to come togehter when it is undertsoo dthat visionistic qualites could have entered a new phase in human understanding where once this feature was unexpainable in a non deterministic way. Such a cosmlogical interactive system exist all through this cosmos now that we have undertsood the places where such capabilties are to exist? Thank you ISCAP for the "mantra of images" that have been displayed.

Time, seems to have brought them together for me, and what a strange way it has materialized. If Thales of Miletus was to have wondered about the basis of of the primary principal it would have been in Edward Lorenz's views that we had seen a system come together that was not fully understood before.

In the Time Variable Gravity measures of Grace it seems that the measure of the planet would have this basis to consider? While the mass features zeroed and changes according to the hills and valleys, would see this primary principal of some use?

Using Thales of Miletus primary principal, as a basis in the time variable measures of climate perspective, are we given a preview of what is not only happening in the cosmo, but is also happening in our deterministic approaches to weather predictions?

The theory of relativity predicts that, as it orbits the Sun, Mercury does not exactly retrace the same path each time, but rather swings around over time. We say therefore that the perihelion -- the point on its orbit when Mercury is closest to the Sun -- advances.

Given a appropriate response to the Daisey, Taylor was very helpful in explaining Mercuries orbital patterns, but now, this proces having moved to higher dimensional understanding recognizing the value of such images that the strange attractor brings to us? In a way, we have brought quantum mechanical processses together with relativity?

No comments:

Post a Comment