Showing posts with label Three Body Problem. Show all posts
Showing posts with label Three Body Problem. Show all posts

Sunday, September 28, 2008

Three-body problem and WMAP

"We all are of the citizens of the Sky" Camille Flammarion

In 1858, by the set of its relations, it will allow Camille Flammarion, the 16 years age, to enter as raises astronomer at the Observatory of Paris under the orders of Urbain the Glassmaker, at the office of calculations.

See:The Gravity Landscape and Lagrange Points

Now there is a reason that I am showing "this connection" so that the jokes that go around at the PI institute in regards to Tegmark( not that I am speaking for him and have absolutely no affiliation of any kind) and the "mathematical constructs are recognized" beyond just the jeering section, that while not being a party too, will and can be shown some light.

Three-body problem

For n ≥ 3 very little is known about the n-body problem. The case n = 3 was most studied, for many results can be generalised to larger n. The first attempts to understand the 3-body problem were quantitative, aiming at finding explicit solutions.

* In 1767 Euler found the collinear periodic orbits, in which three bodies of any masses move such that they oscillate along a rotation line.
* In 1772 Lagrange discovered some periodic solutions which lie at the vertices of a rotating equilateral triangle that shrinks and expands periodically. Those solutions led to the study of central configurations , for which \ddot q=kq for some constant k>0 .

The three-body problem is much more complicated; its solution can be chaotic. A major study of the Earth-Moon-Sun system was undertaken by Charles-Eugène Delaunay, who published two volumes on the topic, each of 900 pages in length, in 1860 and 1867. Among many other accomplishments, the work already hints at chaos, and clearly demonstrates the problem of so-called "small denominators" in perturbation theory.
The chaotic movement of 3 interacting particles
The chaotic movement of 3 interacting particles

The restricted three-body problem assumes that the mass of one of the bodies is negligible; the circular restricted three-body problem is the special case in which two of the bodies are in circular orbits (approximated by the Sun-Earth-Moon system and many others). For a discussion of the case where the negligible body is a satellite of the body of lesser mass, see Hill sphere; for binary systems, see Roche lobe; for another stable system, see Lagrangian point.

The restricted problem (both circular and elliptical) was worked on extensively by many famous mathematicians and physicists, notably Lagrange in the 18th century and Poincaré at the end of the 19th century. Poincaré's work on the restricted three-body problem was the foundation of deterministic chaos theory. In the circular problem, there exist five equilibrium points. Three are collinear with the masses (in the rotating frame) and are unstable. The remaining two are located on the third vertex of both equilateral triangles of which the two bodies are the first and second vertices. This may be easier to visualize if one considers the more massive body (e.g., Sun) to be "stationary" in space, and the less massive body (e.g., Jupiter) to orbit around it, with the equilibrium points maintaining the 60 degree-spacing ahead of and behind the less massive body in its orbit (although in reality neither of the bodies is truly stationary; they both orbit the center of mass of the whole system). For sufficiently small mass ratio of the primaries, these triangular equilibrium points are stable, such that (nearly) massless particles will orbit about these points as they orbit around the larger primary (Sun). The five equilibrium points of the circular problem are known as the Lagrange points.

So the thing is, that while one may not of found an anomalousness version of what is written into the pattern of WMAP( some Alien signal perhaps in a dimension of space that results in star manipulation), and what comes out, or how string theory plays this idea that some formulation exists in it's over calculated version of mathematical decor.

String Theory

In either case, gravity acting in the hidden dimensions affects other non-gravitational forces such as electromagnetism. In fact, Kaluza and Klein's early work demonstrated that general relativity with five large dimensions and one small dimension actually predicts the existence of electromagnetism. However, because of the nature of Calabi-Yau manifolds, no new forces appear from the small dimensions, but their shape has a profound effect on how the forces between the strings appear in our four dimensional universe. In principle, therefore, it is possible to deduce the nature of those extra dimensions by requiring consistency with the standard model, but this is not yet a practical possibility. It is also possible to extract information regarding the hidden dimensions by precision tests of gravity, but so far these have only put upper limitations on the size of such hidden dimensions.
Bold was added by me for emphasis. See also:Angels and Demons on a Pinhead

This is/was to be part of the hopes of people in research for a long time. I have seen it before, in terms of orbitals(the analogical version of the event in the cosmos) and how such events could gave been portrayed in those same locations in space. Contribute, to the larger and global distinction of what the universe is actually doing. If it's speeding up, what exactly does this mean, and what should we be looking for from what is being contributed to the "global perspective" of WMAP from these locations??

But lets move on here okay.

If you understand the "three body problem" and being on my own, and seeing things other then what people reveal in the reports that they write, how it is possible for a lone researcher like me to come up with the same ideas about the universe having some kind of geometrical inclination?

You would have to know that "such accidents while in privy to data before us all", and what is written into the calculations by hand would reveal? Well, I never did have that information. What I did know is what Sean Carroll presented of the Lopsided Universe for consideration. This coincided nicely with my work to comprehend Poincaré in a historical sense. The relationship with Klein.

As mentioned before, at the time, I was doing my own reading on Poincaré and of course I had followed the work of Tegmark and John Baez's expose' on what the shape of the universe shall look like. This is recorded throughout my bloggery here for the checking.

What I want to say.

Given the mathematics with which one sees the universe and however this mathematical constructs reveals of nature, nature always existed. What was shown is that the discovery of the mathematics made it possible to understand something beautiful about nature. So in a sense the mathematics was always there, we just did not recognize it.:)

Friday, September 28, 2007

The History of Magnetic Vision

Grossmann is getting his doctorate on a topic that is connected with non-Euclidean geometry. I don’t know what it is.
Einstein to Mileva Maric,1902

The long-distance navigational abilities of animals have fascinated humans for centuries and challenged scientists for decades. How is a butterfly with a brain weighing less than 0.02 grams able to find its way to a very specific wintering site thousands of kilometers away, even though it has never been there before? And, how does a migratory bird circumnavigate the globe with a precision unobtainable by human navigators before the emergence of GPS satellites? To answer these questions, multi-disciplinary approaches are needed. A very good example of such an approach on shorter distance navigation is the classical ongoing studies on foraging trips of Cataglyphis desert ants. My Nachwuchsgruppe intends to use mathematical modelling, physics, quantum chemistry, molecular biology, neurobiology, computer simulations and newly developed laboratory equipment in combination with behavioral experiments and analyses of field data to achieve a better understanding of the behavioral and physiological mechanisms of long distance navigation in insects and birds.

Tony Smith has some interesting information in response to a post by Clifford of Asymptotia.

Clifford writes:
This is simply fascinating. I heard about it on NPR. While it is well known that birds are sensitive to the earth’s magnetic field, and use it to navigate, apparently it’s only been recently shown that this sensitivity is connected directly to the visual system (at least in some birds). The idea seems to be that the bird has evolved a mechanism for essentially seeing the magnetic field, presumably in the sense that magnetic information is encoded in the visual field and mapped to the brain along with the usual visual data

While my post has been insulted by cutting it short(and stamping it and proclaiming irrelevance,) I'd like to think otherwise, even in face of his streamlining that Clifford likes to do. His blog, he can do what he wants of course.

In any case, it seems reasonable to agree with Buhler, who concludes in his biography of Gauss that "the oft-told story according to which Gauss wanted to decide the question [of whether space is perfectly Euclidean] by measuring a particularly large triangle is, as far as we know, a myth."

So I'll repeat the post of mine here and the part, that he has deleted. You had to know how to see the relevance of the proposition of birds in relation to the magnetic field of the earth, to know why the bird relation is so important.

On Magnetic vision
Rupert Sheldrake has had similar thoughts on this topic.

"Numerous experiments on homing have already been carried out with pigeons. Nevertheless, after nearly a century of dedicated but frustrating research, no one knows how pigeons home, and all attempts to explain their navigational ability in terms of known senses and physical forces have so far proved unsuccessful. Researchers in this field readily admit the problem. 'The amazing flexibility of homing and migrating birds has been a puzzle for years. Remove cue after cue, and yet animals still retain some backup strategy for establishing flight direction.' 'The problem of navigation remains essentially unsolved.'

Many of academics might have steered clear because of the the thoughts and subject he has about this? It seems to me that if this information is credible, then some of Rupert's work has some substance to it and hence, brings some credibility to the academic outlook?

Update: Here I am adding some thoughts in regards to Rupert Sheldrake that I was having while reading his work. He had basically himself denounced the process of birds having an physiological connection to magnetic fields because of not having any information to support the magnetic vision Clifford is talking about. So Rupert moves beyond this speculation, to create an idea about what he calls Morphic resonance with regards to animals.

So Rupert presents future data and theoretics in face of what we now know in terms of the neurological basis is experimentally being talked about in the article in question Clifford is writing about.

On How to see in the Non Euclidean Geometrical World

8.6 On Gauss's Mountains

One of the most famous stories about Gauss depicts him measuring the angles of the great triangle formed by the mountain peaks of Hohenhagen, Inselberg, and Brocken for evidence that the geometry of space is non-Euclidean. It's certainly true that Gauss acquired geodetic survey data during his ten-year involvement in mapping the Kingdom of Hanover during the years from 1818 to 1832, and this data included some large "test triangles", notably the one connecting the those three mountain peaks, which could be used to check for accumulated errors in the smaller triangles. It's also true that Gauss understood how the intrinsic curvature of the Earth's surface would theoretically result in slight discrepancies when fitting the smaller triangles inside the larger triangles, although in practice this effect is negligible, because the Earth's curvature is so slight relative to even the largest triangles that can be visually measured on the surface. Still, Gauss computed the magnitude of this effect for the large test triangles because, as he wrote to Olbers, "the honor of science demands that one understand the nature of this inequality clearly". (The government officials who commissioned Gauss to perform the survey might have recalled Napoleon's remark that Laplace as head of the Department of the Interior had "brought the theory of the infinitely small to administration".) It is sometimes said that the "inequality" which Gauss had in mind was the possible curvature of space itself, but taken in context it seems he was referring to the curvature of the Earth's surface.
See:Reflections on Relativity

As a layperson, Riemann and Gauss were instrumental for helping me see beyond what we were accustom to in Euclidean, so I find Clifford's blog post extremely interesting as well. Maybe even a biological/physiological impute into our senses as well? Who knows?:)

Einstein's youth and the compass, becomes the motivation that drives the vision of what exists beyond what was acceptable in that youth. The mystery. Creates a new method on how we view the world beyond the magnetic, to help us include the view in the gravitational one as well.

From a early age, young Albert showed great interest in the world around him. When he was five years old, his father gave him a compass, and the child was enchanted by the device and intrigued by the fact the needle followed a invisible field to point always in the direction of the north pole.Reminiscing in old age, Einstein mentioned this incident as one of the factors that perhaps motivated him years later to study the gravitational field. God's Equation, by Amir D. Aczel, Pg 14

While something could exist that is abstract, like for instance the Gaussian arc, this inclusion in the value of general relativity is well known. Mileva's response in quote above was the key for Einstein's views on developing General Relativity, and without it "electromagnetism would not, and could not" have been included geometrically in the theory of GR.

It was a succession to "Gravitational wave production" that was understood in regards to Taylor and Hulse.

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.

I would think this penduum exercise would make a deeper impression if held in concert with the way one might have look at Mercuries orbit.

Or, binary pulsar PSR 1913+16 of Taylor and Hulse. These are macroscopic valutions in what the pendulum means. Would this not be true? See:Harmonic Oscillation

I guess not every string theorist would know this? Maybe even Bee would understand that "German" is replace by another form of seeing using abstract language, for how everything can be seen in relation to the ground state? Where there are no gravitational waves, spacetime is flat.

You had to know how such views on the navigation of the birds could have a direct link to the evolutionary output of the biology and physiology of the species. What Toposense?

Yes it's a process where the mathematical minds look at knitting and such, in such modularc forms, to have said, "hey there is a space of thinking" that we can do really fancy twists and such.

One thing us humans can certainly do is construct the monumental world reality with straight lines and such in the Euclidean view. But nature was there before we thought to change all it's curves.

But the truth is, the Earth's topography is highly variable with mountains, valleys, plains, and deep ocean trenches. As a consequence of this variable topography, the density of Earth's surface varies. These fluctuations in density cause slight variations in the gravity field, which, remarkably, GRACE can detect from space. See: The Mind Field

See here for more info on Grace.

Look out into the wild world that nature itself presents and tell me what the ancient mind did not see. Native Americans lived closer to nature. Hopefully you'll understand why it is we must engage ourselves to experiencing the views of nature?:)

Mandalic Construction

See: The Last Mimzy

The "Ancient Medicine wheels" might have been place accordingly? Do you imagine seeing in the abstract world, the magnetic view we see of earth in it's different disguise?

So that last line about the "medicine wheels" probably caused Clifford to do what he did in regards to the post I wrote.

Yes I am creating a direct link between the Medicine Wheels and the Medicine Wheel as a Mandala constructed by early Native Americans. Where they were shamanically placed on the earth.

What is a Medicine Wheel?

The term "medicine wheel" was first applied to the Big Horn Medicine Wheel in Wyoming, the most southern one known. That site consists of a central cairn or rock pile surrounded by a circle of stone; lines of cobbles link the central cairn and the surrounding circle. The whole structure looks rather like a wagon wheel lain-out on the ground with the central cairn forming the hub, the radiating cobble lines the spokes, and the surrounding circle the rim. The "medicine" part of the name implies that it was of religious significance to Native peoples.

Figure 4 - Distribution of medicine wheel sites east of the Rockies

What was of importance is the underlying psychological patterns that exist in the forms of Mandalas. That such a thing like the Medicine wheel, would retain a impact from one's life, to another life.

There are various forms of mandalas with distinct concepts and different purposes. The individual representations range from the so-called Cosmic Mandalas, which transmit the ancient knowledge of the development of the universe and the world-systems which represents a high point among Mandalas dedicated to meditation; to the Mandalas of the Medicine Buddha which demonstrates how the Buddha-power radiates in all directions, portraying the healing power of the Buddha.

It would not be easy to understand this "seed mandala" as it makes it way into conscious recognition. It arises to awareness through the subconscious pathway during our susceptibility in dream time. This open accessibility is the understanding that there is a closer connection to the universality of being, and the realization that the degrees beyond the "emotive body" is developing the understanding of the "mental one" as well as, leading to "the spiritual one."

This comparative view is analogousness to development beyond the abstract view we see of earth in it's gravitational form.

However, the signals that scientists hope to measure with LISA and other gravitational wave detectors are best described as "sounds." If we could hear them, here are some of the possible sounds of a gravitational wave generated by the movement of a small body inspiralling into a black hole.

It would be much like a "energy packet" that would contain all that is demonstrated in "extravagant patterns." Look like a "flower in real life," or a "intricate pattern," while encouraging the person to explore these doorways and move on from.

That seed contains all of the history we have supplanted to it by how we built previously and embedded all the philosophy we had learnt from it.

The Emotional Body of the Earth

Would to me seem very emotive in terms of it's weather. How such weather patterns spread across the earth. Also, it would not seem so strange then that while we would have seen polarization aspects in the cosmos, in terms of magnetic field variances in relation to north and south, we would see "this of value" in the earth as well?

So would the earth have it's positive and negative developments in relation to aspect of it's weather? Most certainly psychological when the snows have lasted so long, one could indeed wish for warmer weather, but that's not what I mean. I mean on a physiological level, such ionic generations would indeed cause the state of the human body to react.

Thursday, September 13, 2007

Home on Lagrange (The L5 Song)

Oh, give me a locus where the gravitons focus
Where the three-body problem is solved,
Where the microwaves play down at three degrees K,
And the cold virus never evolved. (chorus)
We eat algea pie, our vacuum is high,
Our ball bearings are perfectly round.
Our horizon is curved, our warheads are MIRVed,
And a kilogram weighs half a pound. (chorus)
If we run out of space for our burgeoning race
No more Lebensraum left for the Mensch
When we're ready to start, we can take Mars apart,
If we just find a big enough wrench. (chorus)
I'm sick of this place, it's just McDonald's in space,
And living up here is a bore.
Tell the shiggies, "Don't cry," they can kiss me goodbye
'Cause I'm moving next week to L4! (chorus)

CHORUS: Home, home on LaGrange,
Where the space debris always collects,
We possess, so it seems, two of Man's greatest dreams:
Solar power and zero-gee sex.
--Home on Lagrange (The L5 Song) © 1978 by William S. Higgins and Barry D. Gehm

Tuesday, January 30, 2007

Hermetic Ties: Art to Esoteric Form

The father of all perfection in the whole world is here. Its force or power is entire if it be converted into Earth. Separate the Earth from the Fire, the subtle from the gross, sweetly with great industry. It ascends from the Earth to the Heavens and again it descends to the Earth and receives the force of things superior and inferior. By this means you shall have the glory of the whole world and thereby all obscurity shall fly from you. Its force is above all force, for it vanquishes every subtle thing and penetrates every solid thing. So was the world created. From this are and do come admirable adaptations, whereof the process is here in this. Hence am I called Hermes Trismegistus, having the three parts of the philosophy of the whole world. That which I have said of the operation of the Sun is accomplished and ended.Sir Isaac Newton-Translation of the Emerald Tablet
See: Newton on Chymistry

Again I open this blog post with the understanding that what an artist like Raphael may try to do? May include, much of the philosophy of the times, and have these things descriptively enclosing processes indicative of what they had known, but also of what these things could hide within the self.

In center, while Plato - with the philosophy of the ideas and theoretical models, he indicates the sky, Aristotle - considered the father of Science, with the philosophy of the forms and the observation of the nature indicates the Earth. Many historians of the Art in the face correspondence of Plato with Leonardo, Heraclitus with Miguel Angel, and Euclides with Twine agree.

If we watched of distant spot, of century XX aC emphasizes Hermes Trismegisto, - tri three, megisto megas, three times great; perhaps the perception of infinite older than we have and takes by Mercurio name - for Greek and the Toth - for the Egyptians. Considered Father of the Wisdom and Sciences in Greece, in the cult to Osiris it presided over the ceremonies as priest and he was Masterful in Egypt like legislator, philosopher and alchemist during the reign of Ninus in the 2270 aC.

Etimológicamente speaking, of Hermes, the gr. hermenéuiein, “hermetic” - closed, “hermenéutica” - tie art to the reading of old sacred texts talks about so much to the dark as to which it is included/understood in esoteric form. Part of saberes that it accumulated transmitted through the Hermetic Books that only to the chosen ones between the chosen ones could be revealed. As much Pitágoras and Plato as Aristotle and Euclides were initiated in the knowledge of the Hermetic School.

In Man looking into Space, I wanted to show how casual our science has used these images and not realized the context to which the greater meaning had laid hidden, all the while it is used to "describe cosmology" and the science thereof.

A banner has been been written across these times to which scientists hold to all that is true. In this, the reasons to dismiss any implications of history assigned along side, is asking "what validation" can be given to anything that is spoken from our times now.

I went on in that post, "man looking into space," to explain something about the woodcuts. The art form produced, grabbed my thinking in relation to the "alchemical art forms" and grabs my thinking in regards to the "School of Athens picture."

The Yorck Project: 10.000 Meisterwerke der Malerei. DVD-ROM, 2002. ISBN 3936122202. Distributed by DIRECTMEDIA Publishing GmbH.

I just wanted to say that the essence of this blog post is about "the arches," and I am moving toward that description, and what is happening when we take a picture of them. Look at the "design inherent" and "dynamics" as held to gravity in it's construction. Look at what it can signify in it's "internal expression" about our contact with the world around us. The bridging that it can signify.

I would apologize for leaving this post undone, while views pass by the essence of this post. I am indeed busy with life. So I wanted to clarify this push toward the internal dynamics, while speaking to the psychology of this work.

A scientist may side step this look, while quoting the hermetical values of what may be said by the previous first lady Hillary Clinton. In itself, an empty page, only leaves room for what had to be expressed if it was not gotten the first time? Her attempts at humour, are the attempts to break the "rigidity of the personality?"

The Psychology

Myths and metaphors, like dreams, are powerful tools that draw the listener, dreamer, or reader to a character, symbol, or situation, as if in recognition of something deeply known. Myth's bypass the mind's efforts to divorce information. They make an impression, are remembered, and nudge us to find out what they mean, accounting for the avid interest that Ring audiences have in the meaning of the story.1

Who has been so colourful in your journeys across the internet to include a wonderful language that takes you into this world of discovery of self? You had to know something about the "psychology of people" in order to give a story by nature, it's mythic description, and "most artful" to draw attention to what lies underneath.

The Alchemists attempted to perfect the One Thing of Hermes, what they called the First Matter, by using specific physical, psychological, and spiritual techniques that they describe in chemical terms and demonstrated in laboratory experiements. However, while the alchemists spoke in terms of chemcials, furaces , flasks, and beakers, they were really talking about the changes taking place within their own bodies, minds, and souls.2

Thus I have given two examples that I had promised sometime back to illustrate some of the "compelling work" that while ancient indeed, is not without it's efforts in todays world. It is the attempt to cross all boundaries, race, gender, and help one to recognize the diversity of the soul with out it's jacket. Shall we call your soul male or female, black or white?

So I am bypassing this, and that has been my message, while the efforts to climb out of the constraints that we have come to recognize within the boundaries of self. Are the realization of the diversity of "all souls" and their time in expression.

Shall we find the excuse to hold ourselves to the thoughts, that while overcoming, the constraints which still exist "within" had to be continually challenged? We have to break the "chains that bind us."

The Arches

Golden Rectangle
I took the picture at a time of day when the tide was at exactly the right place to create this image: when the surface of the water reflected the underside of the bridge and they combined, together they produced what I named the Golden Rectangle as a nod to Pythagoras (my hero). The sensation I experienced at the time was of balancing consciousness and feeling.

It probably seems that it is taking time to get to the essence of this post. IN order to get to the "psychological effect" that I am getting too it important to think of the images of these arches. It is about "each of us" and how we relate to the world. How, the "teacher and student" can exist within the same person.

I point to the Heaven's in the case of the "school of Athens, while Aristotle points to what is on Earth?" Shall we leave no doubt of the "physical things" while we understand that there are more ephemeral qualities to these matter states? That we move continuously between them?

The Inner/Outer World

The drawn of our focus is the external world, but, if we were to connect the internal world with that "external view" how shall we do that. How shall we describe the whole being in this exercise?

Part of this "exchange with reality," is that we can know by continually moving this information "through us" and creating "the space around us," we add to the total view "beyond what was apparent" with just the brain's condensible qualities in neurological display?

By 'dilating' and 'expanding' the scope of our attention we not only discover that 'form is emptiness' (the donut has a hole), but also that 'emptiness is form' (objects precipitate out of the larger 'space') - to use Buddhist terminology. The emptiness that we arrive at by narrowing our focus on the innermost is identical to the emptiness that we arrive at by expanding our focus to the outermost. The 'infinitely large' is identical to the 'infinitesimally small'.The Structure of Consciousness John Fudjack - September, 1999

While I quote above, the second part of the quote adds directly to the understanding. Not only are we "crossing the wires here," we are identifying "a aspect of consciousness" that is continuous.

In this metaphor, when we are seeing the donut as solid object in space, this is like ordinary everyday consciousness. When we see the donut and the hole at its center, this is like a stage of realization in which 'form' is recognized as 'empty'. When we zoom in extremely closely and inspect the 'emptiness' at the center, or zoom out an extreme distance away from the object and the donut seems to disappear and we have only empty space - this is like certain 'objectless' states of awareness that can occur in meditation. But the final goal is not to achieve the undifferentiated state itself; it is to come to the special perspective that allows us to continue to see all three aspects at once - the donut, the whole in the middle, and the space surrounding it - this is like the 'enlightened' state, in this analogy. 10 The innermost and outermost psychological 'space' (which is here a metaphor for 'concentrated attention' and 'diffused attention') are recognized as indeed the same, continuous.

So given "this relationship" on what we can build within self, then what use all this knowledge if we cannot grow with it? What of Plato's and Aristotle, as figures within the "centre of" Raphael's painting. Their perspective, "as positions in relation too," the "questioning stance" about this "unity of the circle" in our exchange with reality?

So how would you exemplify "this exchange" with reality while "below the surface" all these "probable outcomes" are the manifestation of that which is real? You extend yourself "out there" while you also extend yourself inside? The "infinite regress," is to find oneself, with all that is "past" in front of you, can allow you to stand on what of, "the future" will pass through?

First Principle saids that you acknowledge your place in the scheme of things as you "stretch" the thinking of the mind? Increase the "neurological frontier" in those neurological connections? Increase, the fluttering of the egg's feature, of that condensible brain/body.

Our attempt to justify our beliefs logically by giving reasons results in the "regress of reasons." Since any reason can be further challenged, the regress of reasons threatens to be an infinite regress. However, since this is impossible, there must be reasons for which there do not need to be further reasons: reasons which do not need to be proven. By definition, these are "first principles." The "Problem of First Principles" arises when we ask Why such reasons would not need to be proven. Aristotle's answer was that first principles do not need to be proven because they are self-evident, i.e. they are known to be true simply by understanding them.

But, Aristotle thinks that knowledge begins with experience. We get to first principles through induction. But there is no certainty to the generalizations of induction. The "Problem of Induction" is the question How we know when we have examined enough individual cases to make an inductive generalization. Usually we can't know. Thus, to get from the uncertainty of inductive generalizations to the certainty of self-evident first principles, there must be an intuitive "leap," through what Aristotle calls "Mind." This ties the system together. A deductive system from first principles (like Euclidean geometry) is then what Aristotle calls "knowledge" ("epistemê" in Greek or "scientia" in Latin).

From here it would not be to unlikely that such dealings with the "reality of the world" would ask that we experiment and from such experiment, we learn the truth of the reality. While what the past is "in front" of us, to what goes beyond to it's future would be like asking the very nature of expression to manifest as this universe and laws of thermodynamics that the arrow of time only moves one way.

"The future" arises from within then? We'll move forward by what choices we make? About our conclusions, about reality?

1 Ring of Power, Jean Shinoda Bolen, M.D. Page 3

2The Emerald Tablet, Dennis William Hauck, Chapter 10, Page 151

Monday, January 01, 2007

Symmetries Can be Chaotically Complex

Imagine in an "action of a kind" you start off from one place. A photon travelling through a slit of Thomas Young's, to get through "a world" to the other side. Sounds like some fairy tale doesn't it? Yet, "the backdrop" is where you started?

Thomas Young (June 14, 1773 – †May 10,1829)
was an English scientist, researcher, physician and polymath. He is sometimes considered to be "the last person to know everything": that is, he was familiar with virtually all the contemporary Western academic knowledge at that point in history. Clearly this can never be verified, and other claimants to this title are Gottfried Leibniz, Leonardo da Vinci, Samuel Taylor Coleridge, Johann Wolfgang Goethe and Francis Bacon, among others. Young also wrote about various subjects to contemporary editions of the Encyclopedia Britannica. His learning was so prodigious in scope and breadth that he was popularly known as "Phenomenon Young."

Simplistically this "massless entity" is affected by the "geometrics of gravity?" Is affected from it's "first light." All the way to some "other point in reality" to some image, called the spectrum.

I am dreaming. I am walking down the street and there is this "N category cafe."

Imagine walking off the street into this very public venue and seeing the philosophy shared is also held to certain constraints. :)Philosophy? Yes, we all have our "points of view."

Travelling the Good Life with Ease

So in this travel how is one to see this "curve of light" or "slide" and we get this sense of what gravity can do.

Imagine indeed, "a hole cosmological related" in the three body problem, it has to travel through, and we get this sense of "lensing and distortion," abstractually gravitationally induced?

So as we look at the cosmos what illusion is perpetrated on our minds as we look into the "great distance of measure" that somehow looking to the journey of "an event local," from our place on and about earth, has not been "chaotically entrained in some way, as we look deep into space?

The Magic Square
Plato:Like Pascal, one finds Albrecht has a unique trick, used by mathematicians to hide information and help, to exemplify greater contextual meaning. Now you have to remember I am a junior here in pre-established halls of learning, so later life does not allow me to venture into, and only allows intuitive trials poining to this solid understanding. I hope I am doing justice to learning.

Moving in abstract spaces

It was necessary to explain why I added "the image" to the right in my index.

Some would think me so "esoteric" that I had somehow lost touch with the realities of science? That to follow any further discussion here "has to be announced" to save one's dignity? What ever?:)I am esoteric in that my views of the world come from a different place, not unlike your expression of where you had come from living your life. How would I come to know all that you are in a "single sentence." A single and very short equation? It's really not that easy is it?:)

So I read you from all the things that you say and get the sense of who you are no different then what is implied in the language of poetic art implied carefully from choosing your words?

Artistically Inclined?

I tried to give some hint of the "ideas floating" around in my head. I understand quite well that my challenge has been to get those "images in my head" transmitted onto paper, in a way that one would not become confused as to what is being implied.

So a good writer I may not be, a "not so good scientist" whose mathematics very ill equipped.

Thus I am faced with these challenges in the new year? A "recognition" of trying to produce that clarity. Whether in "latex" the symbols of mathematics, it is quite a challenge for me, whilst all these things are still engaged in abstract views of reality.

So someone like Clifford, may look at Robert by what he has written and say, "hey, my fellow scientists are indeed in trouble" from what Robert has learnt. So I Clifford will provide "the latex sandbox" for you to play in?

It "appears" I am not alone. My struggle, are to be many a struggle.

Art and the Abstract

But to my amazement this morning in checking up the links associated of Clifford's, I was amazed to see the article of, Hooking Up Manifolds

Now how interesting that what is being displayed there in terms of fun, mathematics, art, could have been so abstractly appealing? "Moving over these surfaces" in ways that one might never appreciated, had you not known about how one can look at the universe in the "two ways mentioned previously," and by simple experiment, transcend such things to art.

Friday, December 29, 2006

Wolf-Rayet star

While I have started off with the definition of the Wolf-Rayet star, the post ends in understanding the aspects of gravity and it's affects, as we look at what has become of these Wolf-Rayet stars in their desimination of it's constituent properties.

Similar, "in my thinking" to the expansion of our universe?

Artist's impression of a Wolf-Rayet star
About 150 Wolf-Rayets are known in our own Milky Way Galaxy, about 100 are known in the Large Magellanic Cloud, while only 12 have been identified in the Small Magellanic Cloud. Wolf-Rayet stars were discovered spectroscopically in 1867 by the French astronomers Charles Wolf and Georges Rayet using visual spectrometery at Paris Observatory.

There are some thoughts manifesting about how one may have see this energy of the Blue giant. It's as if the examples of what began with great force can loose it's momentum and dissipate very quickly(cosmic winds that blow the dust to different places)?

Illustration of Cosmic Forces-Credit: NASA, ESA, and A. Feild (STScI)
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.

What if the Wolf-Rayet star does not produce the jets that are exemplified in the ideas which begin blackhole creation. Is this part of blackhole development somehow in it's demise, that we may see examples of the 150 Wolf-Rayets known in our own Milky Way as example of what they can become as blackholes, or not.

Quark to quark Distance and the Metric

If on such a grand scale how is it thoughts are held in my mind to microscopic proportions may not dominate as well within the periods of time the geometrics develop in the stars now known as Wolf-Rayet. So you use this cosmological model to exemplify micro perspective views in relation to high energy cosmological geometrics.

Plato:
"Lagrangian views" in relation may have been one result that comes quickly to my mind. Taking that chaldni plate and applying it to the universe today.

While I had in the previous post talked about how Lagrangian views could dominate "two aspects of the universe," it is not without linking the idea of what begins as a strong gravitational force to hold the universe together, that over time, as the universe became dominated by the dark energy that the speeding up of inflation could have become pronounced by discovering the holes created in the distances between the planets and their moons. Between galaxies.

I make fun above with the understanding of satellites travelling in our current universe in relation to planets and moons, as well as galaxies. To have taken this view down to WMAP proportions is just part of what I am trying to convey using very simplistic examples of how one may look at the universe, when gravity dominated the universe's expansion versus what has happened to the universe today in terms of speeding up.

LOOP-DE-LOOP. The Genesis spacecraft's superhighway path took it to the Earth-sun gravitational-equilibrium point L1, where it made five "halo" orbits before swinging around L2 and heading home.Ross

If the distances between galaxies have become greater, then what saids that that the ease with which the speeding up occurs is not without understanding that an equilibrium has been attained, from what was once dominate in gravity, to what becomes rapid expansion?

This book describes a revolutionary new approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive (or chaotic). It also represents an ideal introductory text to celestial mechanics, dynamical systems, and dynamical astronomy. Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated. Although controversial until quite recently, this method was in fact first applied in 1991, when Belbruno used a new route developed from this theory to get a stray Japanese satellite back on course to the moon. This application provided a major verification of his theory, representing the first application of chaos to space travel.

Since that time, the theory has been used in other space missions, and NASA is implementing new applications under Belbruno's direction. The use of invariant manifolds to find low energy orbits is another method here addressed. Recent work on estimating weak stability boundaries and related regions has also given mathematical insight into chaotic motion in the three-body problem. Belbruno further considers different capture and escape mechanisms, and resonance transitions.

Providing a rigorous theoretical framework that incorporates both recent developments such as Aubrey-Mather theory and established fundamentals like Kolmogorov-Arnold-Moser theory, this book represents an indispensable resource for graduate students and researchers in the disciplines concerned as well as practitioners in fields such as aerospace engineering.

Tuesday, July 25, 2006

Clifford and The Singularity

Horatiu is referring to a mathematical similarity between the physics of the real world, which govern RHIC collisions, and the physics that scientists use to describe a theoretical, “imaginary” black hole in a hypothetical world with a different number of space-time dimensions (more than the four dimensions — three space directions and time — that exist in our world). That is, the two situations require similar mathematical wrangling to analyze. This imaginary, mathematical black hole that Horatiu compares to the RHIC fireball is completely different from a black hole in the real universe; in particular, it cannot grow by gobbling up matter. In other words, and because the amount of matter created at RHIC is so tiny, RHIC does not, and cannot possibly, produce a true, star-swallowing black hole.

See:

• So how far back to the beginning, and if we had thought supersymmetry could exist, would it be in the most perfect fluid?

I place this picture and article above so that one keeps perspective about the similarites of the "micro versus the macro" perspective and "not" that the "disaster scenario" could create the "large blackhole?" But wait?

I am thinking in terms of what could create "the situations" for what is coming into being. Is it acummulative? I am not sure from the "many colldial events" that one could see happen? Hence my focus, to what not ony is created in the "collidal event," but to the cosmic particle colllsions as well. How rare are these? I speak on the "history of strangelets" from that point.

Anyway onward here.

Clifford:
Seriously his talk is all about the physics of certain type of spacetime singularites-such as the one that live's in our universe's past-and whether life can make sense of the idea of space and time coming into being after sucha singualrity, while not existing prior to that

I should start off from a quote of Clifford's of Cosmic Variance, becuase of Q's insistance in regards to the descritpions of singularities and my lacking an understanding and somewhat confusion. I thought I would do some more research here.

There are "certain assumptions" I am making and this is in regard to the a statement Clifford makes, is held as a question in my mind of what exists before anything can emerge into the spacetime? While he has called this beginning "spacetime" and reference "another state" before this, what is it? This is what holds my assumption and idea about what the singularity is doing.

Lubos Motl:
We need to get closer to the "theory of everything", regardless of the question whether the destination is a finite or infinite distance away. (And yes, the path should not be infinitely long because there is no physics "below" the Planck length.)

I place this, too support what Clifford is saying in regards to the what is emergent into the spacetime from what I understand(Strings as a building block on the road too, not as the source of this "emergent property?"). Where do all these dimensional ideas then reside? You can't ignore this, or what Lubos "is saying" about talking about the past? Everytime one's perception changes, the hisory changes too? It forces you to look at the future in a new way?

Not Newtonian

It is certainly not the Newtonian version I am thinking about. People tend to think of these as diamonds(?) or something like that as a Pea? I tend away from that thinking, because it just doesn't chive with what is tramsmitted into what "being [is] in spacetime?," if you don't have a foundation from which to work?

Call them coordinates and in it, the spactime emerges, and from that "okay" the looking at the arrow of time which implies to me a simplier supersymmetrical idea, looking back. So how did you get there? The outside/inside "quandry that stretches the mind capbailites" while chasing the "idea" as Brian Greene's Koan?

There is something to be said in how "ideas emerge from all the information gathered and accumulated" spontaneousily bursts into a new form? The mind goes through a bit of a change? See's differently. Reinmann accomplishement along with those of the geometrical forbears(shoulder's of giants) help to change how we see geometrics.

Briefly I pick up the Kurzwelian book on singularities, and find that a greate rperspective is need beyond what is espoused. A new stage in the thinking, beyond what society is thought to be headed. Some reject Kuhnian thinking but this is revolutionary to bme in what an dhow th emind proceeds in bringing down to earh the ideas that await to form in mind. Another place perhaps? A way of dipping the "toe" into the stream, and letting all that "informtaion" flow through you?

A black hole in astrophysics often has two distinct meanings. The first is the black hole in a general relativistic sense - the extreme gravitational case with a singularity in space-time - while the second is a simpler Newtonian approach: a black hole is just a point mass. While both of these meanings are used, often interchangeably, throughout the literature, it is important to remember that no astrophysical observation has yet been made that can distinguish between the two; to date, the Newtonian point mass is all we need. In the future, with better X-ray observations and a detection of gravitational waves, this may change.

First off I wrote the post Singularities should be rewritten as "a question" of what I was seeing inregards to our universe. What is in our universe's past. The reason for it's inflation. The reason for entropic valuations that become complicated and end in some chaos reasoning that Sean askes of those to solve in the Three body solution? I think this ahas already been done from what I understood so that push me towards lagragian perspective s and the other assumptions I have about this beginning and what existed before it?

Here's what I write:

Plato:
If the initial states at the beginning of the universe are to be in concert with particle reductionism, and the particle creations that I have exemplified in how particles came into being, then, the understanding of what can be transmitted through the blackhole is extremely important as a valuation of what appears over time?

So I have to say yes I am quantum characteristically driven to see this universe as it existed in a state held in our perceptions, of what it has become today. So of course I was looking back, with new knowledge of what the futre is to become. Why shouldn't it matter what help to draive this situation in the universe we have to day not hold perspectove abot what has emerged in the spacrtime as we know it?

Strominger:
The old version of string theory, pre-1995, had these first two features. It includes quantum mechanics and gravity, but the kinds of things we could calculate were pretty limited. All of a sudden in 1995, we learned how to calculate things when the interactions are strong. Suddenly we understood a lot about the theory. And so figuring out how to compute the entropy of black holes became a really obvious challenge. I, for one, felt it was incumbent upon the theory to give us a solution to the problem of computing the entropy, or it wasn't the right theory. Of course we were all gratified that it did.
• 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?

Sunday, May 21, 2006

Project Satellite Energy Exchange (SEE)

December 15th, 2005 at 2:35 pm
Tony Smith
:

As to the time of Feynman soving the QED problem, in 1941 (according to Mehra’s Feynman biography The Beat of a Different Drum (Oxford 1994)) Feynman had the inspiration from Dirac’s paper of using the Lagrangian method, which led to Feynman’s 1942 Ph.D. thesis. As to that thesis, Mehra says “… Feynman mentioned that “the problem of the form that relativistic quantum mechanics, and the Dirac equation, take from this point of view, remains unsolved. …”. So, Feynman’s Shelter Island relativistic QED solution was developed after his 1942 Ph.D. thesis.

I must admit this morning, I woke up with some questions around non gravitational effects, and how we would see this in relation to the two body problem. Now again, I reiterate, that as a student, I am going to make mistakes, but I am equally enthralled with the idea that a "channel of movement" can exist in our perceptions, where high energy considerations where I had previously thought only the strong gravitatinal influences could exist. Now I know there is more to this then previously thought and I lay out the perception built over this

Scientific relevance of the Equivalence Principle

It is possible to ascribe two conceptually different kinds of masses to a body: an inertial mass and a gravitational mass. The inertial mass is the proportionality factor between a force (any kind of force) applied to the body and the acceleration it acquires in response to it in an inertial laboratory.The gravitational mass is a measurement of the property of the body to attract gravitationally anyother body (gravitational active mass), or to be gravitationally attracted by any other body(gravitational passive mass). Assuming the validity of the action−reaction principle (which leads toconclude that the center of mass of an isolated system must move with constant velocity in aninertial frame of reference) also implies that the gravitational passive and active mass of a bodymust be the same. Since both concepts refer to the same physical interaction, this result appears to be quite natural. The gravitational mass is the analog in a gravitational field, of the electric chargein an electric field −it can be viewed as a gravitational charge− while it has no apparent relation (in spite of the name) with the concept of inertial mass

Current experiments would have to say that our undertanding has changed a bit, by what we have currently and experimentally understood in our involvement as a measure of RHIC production, as philosphical endeavors to change what we now know?

Gravity is the missing link in Grand Unification.

Because of our uniquely poor knowledge of gravity--the weakest of all known forces-- and because gravity must have a key role in any Grand Unification theory, many aspects of gravity must be understood in greater depth and precision.

A SEE mission would improve our knowledge of a number of gravitational parameters and effects which are needed to test unification theories and various modern theories of gravity.

Science Objectives of Project SEE:

• Test the inverse-square law at separations of
meters the radius of the Earth

• Test the equivalence principle by composition differences at these separations

• Test for time variation of G

• Test for anisotropy of space and other post-Einsteinian effects

• In this regard then, Langrangian perspectve in the Sun Earth relation, had some interesting perspective developements that bring satellite travel into perspective, so too our energy consumptions, for extended deep space travel, more then likely as we now "see" these relations.

Yes, I had indeed created some of the understanding that arises from Time Variable measures, and how we now percieve the earth. Not as some illustrous pearl that was the first images of mind, as John Glenn peered upon this planet, but now, through understanding and measure, we "see" the earth in new ways.

Not only having understood the lagrangian perspectve, I found some relevance to how we now "see" in the cosmo, but here now too, I can speak on the "WMAP mapping system" as a functionable reality of this lagrangian perspective, being pointed out in those same maps?

Special Lagrangian geometry in particular was seen to be related to another String Theory inspired phemonenon, "Mirror Symmetry". Strominger, Yau and Zaslow conjectured that mirror symmetry could be explained by studying moduli spaces arising from special Lagrangian geometry.

This conjecture stimulated much work by mathematicians, but a lot still remains to be done. A central problem is to understand what kinds of singularities can form in families of smooth special Lagrangian submanifolds. A starting point for this is to study the simplest models for singular special Lagrangian varieties, namely cones with an isolated singularity. My research in this area ([2], [4], [6]) has focused on understanding such cones especially in dimension three, which also corresponds to the most physically relevant case.

Sure, let's be true to ourselves and others, for sure.:)

Tuesday, April 25, 2006

What is the Observer's Reality?

"Death, so called, is but older matter dressed
In some new form. And in a varied vest,
From tenement to tenement though tossed,
The soul is still the same, the figure only lost."
Poem on Pythagoras, Dryden's Ovid.

When your given a certain amount of energy to work with and all of it is accountable except for a some, what conlcusion are you to draw? Sensibly the mapping is done as to the tragetories of all particles, yet it just didn't add up at the end.

Oskar Klein (left) proposed in the 1920s that hidden spatial dimensions might influence observed physics. He poses with physicists George Uhlenbeck (middle) and Samuel Goudsmit in 1926 at the University of Leiden, the Netherlands. AIP Emilio Segrè Visual Archives

Mini Review on Search for Extra Dimensions With Atlas, by S. Ferrag

Thanks to the high collision energy and luminosity of the LHC, the ATLAS detector will be capable of revealing the existence of extra spatial dimensions in some substantial region of parameter space. The talk will summarize recent studies from the collaboration on different possible signals predicted by models where the dimensions are "large", where they are of size ~TeV^-1 or where they are "warped". These signals include direct emission of Kaluza-Klein states of gravitons, virtual effects of graviton exchange and gauge boson excitations. We shall also discuss the possibilities of observing black holes.

There is no doubt in my mind that the leanings towards mysticism should not have entered the picture when dealing with the science, as you say Sean. Through Education, working with the tangible, there will no doubt people who refuse this on a ideological grounds, as to it's misleadings to a better understanding.

If the concepts of GR are ever moved as they were in the perspective of Einstein's thought Experiment, I would think it would have had it's basis on a solid foundation, yet, it drew a conclusive results in the way we now deal with how we can look at the world?

While this may have appeared confusing, and misleading to people, without a deeper comprehension, it is not without some basis some of us would think about these things, and agree with Einstein.

So let's say that if such a basis was given to thethought experiment shown here, is thought of, would the thinking as to the substance of our very thoughts ever been considered in context of the way in which I had been thinking about these things?

If one had never followed the logic and geometry would it have made sense, that the analogy of Einstein's thought experiment, about a hot stove and pretty girl, would seem less then a viable concept, had Einstein never extended his thoughts from a basis, and foundation of GR? Gravity.

On the Effects of External Sensory Input on Time Dilation." A. Einstein, Institute for Advanced Study, Princeton, N.J.

Abstract: When a man sits with a pretty girl for an hour, it seems like a minute. But let him sit on a hot stove for a minute and it's longer than any hour. That's relativity.

As the observer's reference frame is crucial to the observer's perception of the flow of time, the state of mind of the observer may be an additional factor in that perception. I therefore endeavored to study the apparent flow of time under two distinct sets of mental states.

Methods: I sought to acquire a hot stove and a pretty girl. Unfortunately, getting a hot stove was prohibitive, as the woman who cooks for me has forbidden me from getting anywhere near the kitchen. However, I did manage to surreptitiously obtain a 1924 Manning-Bowman and Co. chrome waffle iron, which is a reasonable equivalent of a hot stove for this experiment, as it can attain a temperature of a very high degree. Finding the pretty girl presented more of a problem, as I now live in New Jersey. I know Charlie Chaplin, having attended the opening of his 1931 film City Lights in his company, and so I requested that he set up a meeting with his wife, movie star Paulette Goddard, the possessor of a shayna punim, or pretty face, of a very high degree.

Discussion: I took the train to New York City to meet with Miss Goddard at the Oyster Bar in Grand Central Terminal. She was radiant and delightful. When it felt to me as if a minute had passed, I checked my watch to discover that a full 57 minutes had actually transpired, which I rounded up to one hour. Upon returning to my home, I plugged in the waffle iron and allowed it to heat up. I then sat on it, wearing trousers and a long white shirt, untucked. When it seemed that over an hour had gone by, I stood up and checked my watch to discover that less than one second had in fact passed. To maintain unit consistency for the descriptions of the two circumstances, I rounded up to one minute, after which I called a physician.

Conclusion: *The state of mind of the observer plays a crucial role in the perception of time.*

Same with how GR is reduced from a "larger frame of reference(a quantum microscopic view)," how is it, the probability of any action could have been this one, as I write, or if some thought held to some systemic relation would have found relevance in the weight of our decisions, our choices? I used a scale then, heart and feather and if one associated the gravity of the situation to our thought patterns, how would this pan out in the thinking of emotive thoughts. The discoloration of pure colors, in our expression and emotively realized?

Einstein:Since there exist in this four dimensional structure [space-time] no longer any sections which represent "now" objectively, the concepts of happening and becoming are indeed not completely suspended, but yet complicated. It appears therefore more natural to think of physical reality as a four dimensional existence, instead of, as hitherto, the evolution of a three dimensional existence.

Fanciful, Yet working with Reason

You may not take your body with you but you will take the emotive realizations, and they can color our views for a time. If we knew how to take control of the positve expression and change our attitudes, I think this is what allows the circumstance to change(our future), if we only let the reactions govern our existance, nothing changes.

We are thinking beings then, making choices, about the way we will react in the future. Following such reactions to the source and continuing to distill them we will possibly find the truer core of the reactionary base with which to consult. What future changes we will take hold of. It doesn't all have to be negative. We don't have to surround ourselves with such paling colors.

Saturday, October 15, 2005

Lagrange points

As always, the pictures serve as links, as well as highlighted paragraphs in blue, and having once visited, purple. Pictures and paragraphs that are highlighted in gold are in conjunction and are direct links to sites, as well as fawcetts, within this blog. The neurolgical funcxtion of imagery was designed this way and I would encurgae wikipedia to use this idea in the images that they use. I suspect server updates reduce links back to them, which is retarded since all apragraph staements can be assigned to them quite easily.

This is the advancement in imagery use that mental powers had to keep pace with in computer developement. We know streaming video is quite useful, so why not the neurological fucntioning of "the image" that your minds can produce, that connect as these highlighted paragraphs can do?

These ideas make sense when you understand the effects of gravitational variances, and can see, what the effect of a fifth dimensional perspective can do. I think the writer understood what I was saying in article that follows?

Figure 2 shows a map of the gravity field of the Sun-Earth restricted three body problem. The contours show that the steepest gradients surround the Earth and Sun, with the five Earth Lagrange Points located in equilibrium regions with relatively gentle gradient. L1-L3 are unstable saddle points, and spacecraft positioned here will always drift away from the equilibrium. L4 and L5 are stable equilibria, and objects can orbit here indefinitely. The blue arrows show that L4 and L5 are actually atop a potential hill - it is the additional effect of the "Coriolis force" that makes them stable.
-----------------------------------------------

This newly found Interplanetary Superhighway is a perfect example of the overlap between classic analysis and modern numerical techniques. The genius minds of Euler and Lagrange used the new technique of calculus to solve the restricted three body problem and show the existence of these intriguing equilibrium points in space. Now, 200 years later, we are employing our own ground-breaking methods using dynamical systems theory and supercomputers, and taking our first steps along the invisible tunnels stretching through the solar system

If one didn't understand this application from a fifth dimensional perspective how would "this viewer" made any sense?

Such develoepments and perspective allow other views to develope in relation to how we see this planet, beyond the bubble enclosures one might have developed and culminates in this Thalean view.:)

This all leads to the developement of the Thalean view It is mathematically orientated although I have much to learn, I made use of a developing perspective that few would have realized, had they not put these things together. That's what I try to do, anyway.

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?