Showing posts with label lagrangian. Show all posts
Showing posts with label lagrangian. 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.:)

Sunday, February 24, 2008

Levitation Energy: What is it?

You must know, that contrary to what is understood of levitation, I have a view on this that cannot be said less then in complete wonderment, knowing full well the aspects of what science is stating. "I know" with all of sciences tools, there "is" something we do not understand. It would then be assigned to a Metaphysical description here falls short of the scientific definition.

I preserver still, given the circumstance of my youth, and the direction it pushed my life in terms of scientific study and philosophical determinations. What are one's motivation underpinnings with self and we find the course of life can be set to a degree?

ASSESSING POTENTIAL PROPULSION BREAKTHROUGHS
Marc G. Millis
NASA John H. Glenn Research Center at Lewis Field
21000 Brookpark Rd., MS 86-2
Cleveland, OH 44135-3191


Levitation is an excellent challenge to illustrate how contemplating breakthrough propulsion is different from contemplating rocketry. Rockets can hover, but not for very long before they run out of propellant. For an ideal breakthrough, some form of indefinite levitation is desirable, but there is no clear way how to represent the energy or power to perform this feat. Since physics defines work (energy) as the product of force acting over distance, no work is performed if there is no change in distance. Levitation means hovering with no change in height. Regardless, there are a variety of ways to toy with the notion of energy and power for indefinite levitation. A few of these approaches are listed in the next session. For now, only one approach is illustrated, specifically the nullification of gravitational potential.

An object in a gravitational field has the following defined value for its gravitational potential energy:



Equation 11

(11)

Usually this definition is used to compare energy differences between two relatively short differences in height ( r) but in our situation we are considering this potential energy in the more absolute sense. This same equation for potential energy can also be derived by calculating how much energy it would take to completely remove the object from the gravitational field, as if moving it to infinity. This is more in line with the analogy to nullify the effect of gravitational energy. This is also the same amount of energy that is required to stop an object at the levitation height ( r) if it were falling in from infinity with an initial velocity of zero.

Using this equation, it could conceivably require 62 mega-Joules to levitate 1-kg near the Earth's surface. This is roughly twice as much as putting 1-kg into low Earth orbit. Again, these assessments are strictly for illustrative purposes rather than suggesting that such breakthroughs are achievable or if they would even take this form if achievable. Some starting point for comparisons is needed, and this is just one version.


See: Breakthrough Propulsion Physics?

The elephant and the event horizon by Amanda Gefter

Hawking radiation owes its existence to the weirdness of the quantum world, in which pairs of virtual particles pop up out of empty space, annihilate each other and disappear. Around a black hole, virtual particles and anti-particles can be separated by the event horizon. Unable to annihilate, they become real. The properties of each pair are linked, or entangled. What happens to one affects the other, even if one is inside the black hole.
See here for article.



Given "thought experiments" sometimes it is necessary to understand the close relation with which entanglement issue, an elephant that falls into a blackhole, and a elephant that resides on the horizon, we look to explain what "measurement may mean" as we look at the entanglement.

All of physics as we know it is conditioned on the fact that information is conserved, even if it's badly scrambled," Susskind says.


So I ask, is there a way to see "mirror symmetry" as a viable aspect of the entanglement, while we look ever deeper into the blackhole for what can be expected/measured? Information, never lost?

How can one not look at space with such regard and understand that the geometrical tendencies while presenting them in coordinated space, can give a dynamical quality to what was never apparent before. Spacetime, takes on a whole new meaning. Moves the Gaussian coordinates to the realm of "abstract thinking in non euclidean , and presents new aspects for consideration that was previously dismissed and thought arrogant in relation to string theory.

Now, I am no way saying that what is being written here is to be compared, on the basis of the many mathematical insights portrayed in the development of string theory. I have hoped to touch this aspect of "dynamical thinking" at the microscopic level and at the same time, spoken to a macroscopic understandings well.

The Future of the Quantum Mechanical View


Gerard 't Hooft-Professor Theoretical Physics
Quantum gravity and black holes. Whenever particles are separated further than 10-33cm, the gravitational force between them is very adequately described by Einstein's theory of general relativity. But when they come closer, the gravitational force becomes strong, whereas gravity is more complicated than gauge theories. Finding a logically coherent theory telling us how particles behave at such small distance scales is a fundamental problem. The most dazzling problem is the question whether these particles will make microscopic black holes. Predicting the behavior of such tiny black holes is a deep theoretical challenge. Or maybe they can't form black holes? Formulating laws of physics that avoid black hole formation is even more difficult.


How fit and comparative the mind to think that it's journey in the imaginations could travel space as we know it on so many levels? Microscopic tendencies to see reality in it's makeup could have been compared to the "powers of ten."

Gravitational Mass for a Photon

The relativistic energy expression attributes a mass to any energetic particle, and for the photon



The gravitational potential energy is then



When the photon escapes the gravity field, it will have a different frequency




Since it is reduced in frequency, this is called the gravitational red shift or the Einstein red shift.

Escape Energy for Photon

If the gravitational potential energy of the photon is exactly equal to the photon energy then



Note that this condition is independent of the frequency, and for a given mass M establishes a critical radius. Actually, Schwarzchilds's calculated gravitational radius differs from this result by a factor of 2 and is coincidently equal to the non-relativistic escape velocity expression



A black hole is an object so massive that even light cannot escape from it. This requires the idea of a gravitational mass for a photon, which then allows the calculation of an escape energy for an object of that mass. When the escape energy is equal to the photon energy, the implication is that the object is a "black hole."


For more see "Time as a measure.


Special Lagrangian geometry


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


How many of the good scientists can say this themself, that no matter what, with all the avenues of propulsion systems talked about, all the aspects of satellite deployment, where are there such places, that we set our sight on with the habitation of space(L5)? Does it hold to the thinking mind, that we would talk about such comparisons for consideration first? How is it then we should look at space?



So we understand not only the travels of satellites, but the place and tunnels through which they travel through in that space.

See:

Entanglement and the New Physics

Wednesday, January 09, 2008

Monday, September 17, 2007

The Gravity Landscape and Lagrange Points

"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.


There is a deep seated need to look beyond ourselves. We tend to look up in space, while there is this greater vision that lies even beyond what we are so used to in our everyday lives.


(Larry Niven's Ringworld, seen from space. Artwork by Harry Frank
Ringworld is a Hugo and Nebula award-winning 1970 science fiction novel by Larry Niven, set in his Known Space universe. The work is widely considered one of the classics of science fiction literature. It is followed by three sequels, and it ties in to numerous other books in the Known Space universe.
.


Our view of space and living beyond the confines of Earth, is lived over in the minds of those who have struggled within science to make these travels possible.

Imagine that first look at the blue planet. How glorious this view, while here we mere mortals look at what those take for granted as they now use the machines they created to visit new planets.

L4 and L5

The L4 and L5 points lie at 60 degrees ahead of and behind Earth in its orbit as seen from the Sun. Unlike the other Lagrange points, L4 and L5 are resistant to gravitational perturbations. Because of this stability, objects tend to accumulate in these points, such as dust and some asteroid-type objects.

A spacecraft at L1, L2, or L3 is ‘meta-stable’, like a ball sitting on top of a hill. A little push or bump and it starts moving away. A spacecraft at one of these points has to use frequent rocket firings or other means to remain in the same place. Orbits around these points are called 'halo orbits'.

But at L4 or L5, a spacecraft is truly stable, like a ball in a bowl: when gently pushed away, it orbits the Lagrange point without drifting farther and farther, and without the need of frequent rocket firings. The Sun's pull causes any object in the L4 and L5 locations to ‘orbit’ the Lagrange point in an 89-day cycle. These positions have been studied as possible sites for artificial space stations in the distant future.


I draw you attention too,"ball sitting on top of a hill" in the previous article. One should get the idea right away, that what was revealed in the possibilities of the landscape, could have correspondences in how we look at the universe in it's gravitational considerations.



Who would have known that such "orbital tendencies" which would have seem so chaotic, could have let one seen Lissajous's by design. You might think of Lorentz's butterfly flapping it's wings, yet such probabilities are held "to a spot" that is a result of placement within the very nature of the landscape of the gravitational cosmos.

So would you have wondered, "if we considered "E8" as a dimensional attribute of such probabilities "by design in such a place" what would this place look like? Would you have selecedt the probability of this resulting ball to falling in the respective valley as a, moduli form?

Tuesday, April 03, 2007

The Elixir of the Bee Community

You should know that that the names of the Bee people have their names protected, to protect the community at large. Some larger human species, like to use the benefits of this society, without recognizing the constructive efforts that goes into this elixir Production.

Marc D. Hauser:

We know that that kind of information is encoded in the signal because people in Denmark have created a robotic honey bee that you can plop in the middle of a colony, programmed to dance in a certain way, and the hive members will actually follow the information precisely to that location. Researchers have been able to understand the information processing system to this level, and consequently, can actually transmit it through the robot to other members of the hive.


See Bumblebee Wing Rotations and Dancing

Many times people have used Ant world to illustrate their ideas, but the time has come, that the relationship to perspective dynamics at that level should think about the vast literature of Bee people.

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

See Second of Five Lagrangian Equilibrium Points

One should not think these people have been disassociated from reality, and that it has only been our ignorance of the economics and flight patterns, that we failed to see the dynamical community that bee propagation goes through, in order to continue it's rich development. The elixir production is coming out of that community.

There are two reasons that having mapped E8 is so important. The practical one is that E8 has major applications: mathematical analysis of the most recent versions of string theory and supergravity theories all keep revealing structure based on E8. E8 seems to be part of the structure of our universe.

The other reason is just that the complete mapping of E8 is the largest mathematical structure ever mapped out in full detail by human beings. It takes 60 gigabytes to store the map of E8. If you were to write it out on paper in 6-point print (that's really small print), you'd need a piece of paper bigger than the island of Manhattan. This thing is huge.


See Solidification of Geometrical Presence

Flower pollination is a interesting thing having considered the world that the Bee people live in. After all, the dynamics and travel used, one could not help being enamoured with the naturalness with which one may try to reproduce in human mechanistic movement, that the Bee people live and breathe.

Humanistic intelligences is a larger format, to what they do in that Bee community?

Cell construction provides for the further propagation of the community, but no where do the Bee people give the particulates of the cell construction? Humanistic intelligences only see the community with regards to the Bee movements :)The Bee people have a greater depth to what is seen.

Observing the community at large, the Bee people have much more to present then thinking just in the way they work. Who is Navier Stokes of the humanistic intelligences to think only he could reveal anomalistic perception in the nature of viscosity, not to think there is relativistic conditions that the Bee people bring to reductionism views in physics?

Worker bees perform a host of tasks from cleaning the hive cells to looking after the larvae
The workers have a variety of tasks to perform – some collect nectar from flowers, others pollen, some are engaged in constructing new combs, or looking after the developing larvae, some perform the duty of cleaning the cells or feeding the larvae on special secretion that they regurgitate from their mouth parts. In these insects the exact task of any individual depends largely on its age, although there is a certain flexibility, depending on the requirements of the hive.


So I've taken a different tack here. If it is so hard for the community at large to comprehend that extra dimensional thinking then there has to be some way in which we as lay people can envision the acrobatics of a busy bee and their flight plans? What the community is all about. Who is doing what?

How many dimensions are there?

Consider ants crawling on a tabletop. In their daily experience, they can explore only 2 dimensions, those of the table surface. They may see a bee up flying, or occasionally landing on the table top, but that 3rd dimension is something they can only see or imagine, not experience. Perhaps we are in an analogous situation. Instead of a tabletop, we live in a 3-dimensional space called 3-brane (a name generalizing 2-brane, i.e., membrane). For some reason, we (i.e., atoms, molecules, photons etc.) are stuck in this 3-brane, even though there are 6 additional dimensions out there. Gravity, like the bee, can go everywhere. We call this the brane world, a rather natural phenomenon in superstring theory. At the moment, physicists are working hard to understand this scenario better and to find ways to experimentally test this idea.


The Bee people had graduated from the world of the ant people, jsut by their evolutionary timeline. They were "much more visionary" then the ant people. Because they could leave their three dimensional world of the table top, and pop into ant world's frame of reference. Ant people were never the wiser. Just that, Bee people existed.

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.

See Wolf-Rayet star

Brane theory development needed a boost from the Bee people. Not only now do we understand the "dynamical thinking that goes with the Bee's flight patterns," we are now thinking, hey, "can these things apply" to the current solutions the humanistic intelligences persevere to unfold in their space travels?

Not just "our waist lines" as some might think in regards to "lensing" and the circles we apply in "computerize efforts." The range of territory of the Bee's community is well considered?

Thursday, March 08, 2007

The Mind Field



Lee Smolin:
Height is proportional to the number of things the theory gets right. Since we don’t have a convincing case for the right theory yet, that is a high peak somewhere off in the distance. The existing approaches are hills of various heights that may or may not be connected, across some ridges and high valleys to the real peak. We assume the landscape is covered by fog so we can’t see where the real peak is, we can only feel around and detect slopes and local maxima.Lee Smolin
See here for more information.

Without giving some coordinates to the thinking in Colour of Gravity I thought it important that such talk be given a new perspective that had not been considered in the context with how hierarchically how I gave meaning to such colours.

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 here for more info on Grace.

First I must say that having the sceptic aligned within oneself is a good thing. To maintain a questioning state to what is ever introduced. For me as I read the exchanges between "Susskind and Smolin" it was not without understanding that I might want to instigate "two other minds in the string debate" to engage them to bring forth "good information" about the model in science, for and against.

Who would ever of thought to give correlate the differences we see on earth as topographical features to have thought "Colour of Gravity" has now been implemented along with sound?

Do not forget "Titan's descent" and what "measure" do we have? We might want to see the surface in a way that you had not seen it before? What I have written so far in this post should open up a new concept in terms of what these measures do for us.

This recording was produced by converting into audible sounds some of the radar echoes received by Huygens during the last few kilometres of its descent onto Titan. As the probe approaches the ground, both the pitch and intensity increase. Scientists will use intensity of the echoes to speculate about the nature of the surface.


So have I lost you in regards to "subjectivity." Was the science reduced to innuendos of all kinds while showing such disrespect? It is less then the desired in exchange. So I have tried to hold this high in my values.

But alas what happens sometimes though, is that we can start speaking past each other, while most distinctly I would prefer the conclusion drawn, where both would agree on the differences. Admit, they would be working to not only support their positions and the reasons why, but instigate others to continue to question and deal respectively with the continued debate. What is gravity?

The immediacy of reactive perceptions would ask that any gravity be held in context of the reaction measured in calorimetric design.

Moving to a "fifth dimensional" understanding was a necessary part of our evolution?

If you join "electromagnetism and and gravity" what will become of your views of the world around you? I am the product of such thoughts. While scientists had been engaged qualitatively, I had become what their equations would allow them too in model design.

So I had to carefully take you to this point to have enlisted the idea of the Mind Field. It's relation to what is hidden in the subtle ideas related to Colour of gravity. That we could have this "multiversity idea held to any scientists mind", while thinking of only the technologies? It had to also have it's subjective valuation too.

How could you think as a scientist and not include this aspect of the thinking mind. That it had some "ascension" to it in terms of "pyramidal qualities." Colours that I might assign? Or, that the "bubble as a sphere" would reflect the scientists mind, as if it was a relation to "earth time variable measures" in the thoughts sequences of experience? You will reflect this, not only on a "verbal level" but one you had not seen before.

Out in Right/Left Field

If one didn't have their own "heart song" what said they couldn't "tap their way?"
Both left and right sides are necessary for complete perception of rhythm. For example, both hemispheres need to be working to tell the difference between three-quarter and four-quarter time.

The front part of your brain (frontal cortex), where working memories are stored, also plays a role in rhythm and melody perception.



So it is no surpise that I would highlight the following debate between Michael Shermer and Deepak Chopra would it.:)

Hope Springs Eternal Science, the Afterlife & the Meaning of Life-by Michael Shermer
The ancient Hebrew word for soul is nephesh, or “life” or “vital breath”; the Greek word for soul is psyche, or “mind”; and the Roman Latin word for soul is anima, or “spirit” or “breath.” The soul is the essence that breathes life into flesh, animates us, gives us our vital spirit. Given the lack of knowledge about the natural world at the time these concepts were first formed, it is not surprising these ancient peoples reached for such ephemeral metaphors as mind, breath, and spirit. One moment a little dog is barking, prancing, and wagging its tail, and in the next moment it is a lump of inert flesh. What happened in that moment?

In 1907 a Massachusetts physician named Duncan MacDougall tried to find out by weighing six dying patients before and after their death. He reported in the medical journal American Medicine that there was a 21-gram difference. Even though his measurements were crude and varying, and no one has been able to replicate his findings, it has nonetheless grown to urban legendary status as the weight of the soul. The implication is that the soul is a thing that can be weighed. Is it?



Taking the Afterlife Seriously by Deepak Chopra
If consciousness is an aspect of the field, then our brains should operate along the lines of a field. This seems to be true. For one thing, it’s impossible to explain how the brain coordinates millions of separate events simultaneously unless something like a mind field is present. Take a compass out of your pocket anywhere on earth, shake it, and a few seconds later the wobbly needle will always settle pointing north. If every person on the planet did this at exactly twelve midnight, billions of compasses would be doing the same thing simultaneously, a fact that doesn’t surprise us because we know that the Earth’s magnetic field is responsible. It would be absurd to claim that each compass decided randomly to pick north.

Monday, January 08, 2007

Hubble Maps the Cosmic Web of "Clumpy" Dark Matter in 3-D


Three-Dimensional Distribution of Dark Matter in the Universe
This three-dimensional map offers a first look at the web-like large-scale distribution of dark matter, an invisible form of matter that accounts for most of the universe's mass. This milestone takes astronomers from inference to direct observation of dark matter's influence in the universe. Because of the finite speed of light, regions furthest away are also seen as they existed a long time ago. The map stretches halfway back in time to the beginning of the universe.

The map reveals a loose network of dark matter filaments, gradually collapsing under the relentless pull of gravity, and growing clumpier over time. This confirms theories of how structure formed in our evolving universe, which has transitioned from a comparatively smooth distribution of matter at the time of the big bang. The dark matter filaments began to form first and provided an underlying scaffolding for the subsequent construction of stars and galaxies from ordinary matter. Without dark matter, there would have been insufficient mass in the universe for structures to collapse and galaxies to form.


Part of this reporting is the way in which one could look at the Cosmos and see the gravitational relationships, as one might see it in relation to "Lagrangian views" in the Sun Earth Relation.


Diagram of the Lagrange Point gravitational forces associated with the Sun-Earth system.


Make sure you click on the image for further information. Mouseovers as your cursor is placed over images or worded links are equally important. You learn about satellites and the way they travel through these holes.

While one can see "dark matter" in terms of it's constraints, what of "dark energy" as it makes it way through those holes? This reveals the expansionary nature in terms of dark energy being repelled, whether you like to think so or not. This explains the dark energy developing free of the dark matter constraints and explains the state of our universe.


LSST Homepage background image. (Image credit: LSST Corporation, Bryn Feldman) Design of LSST Telescope dome and local facilities, current as of January 2007. Google Inc. has joined with nineteen other organizations to build the Large Synoptic Survey Telescope, scheduled to see first light atop Cerro Pachón in Chile in 2013.
The Large Synoptic Survey Telescope (LSST) is a proposed ground-based 8.4-meter, 10 square-degree-field telescope that will provide digital imaging of faint astronomical objects across the entire sky, night after night. In a relentless campaign of 15 second exposures, LSST will cover the available sky every three nights, opening a movie-like window on objects that change or move on rapid timescales: exploding supernovae, potentially hazardous near-Earth asteroids, and distant Kuiper Belt Objects. The superb images from the LSST will also be used to trace billions of remote galaxies and measure the distortions in their shapes produced by lumps of Dark Matter, providing multiple tests of the mysterious Dark Energy.



Two simulations of strong lensing by a massive cluster of galaxies. In the upper image, all the dark matter is clumped around individual cluster galaxies (orange), causing a particular distortion of the background galaxies (white and blue). In the lower image, the same amount of mass is more smoothly distributed over the cluster, causing a very different distortion pattern.


Here in this post the example of "how one may see" is further expounded upon to show how dark matter and dark energy are in action as a 90% aspect of the cosmos, while the remaining 10% is a discrete measure of what is cosmologically matter orientated. We don't loose sight of these relationships, but are helped to further develope them in terms of this gravitational relationship.

See:
  • Dark Matter in 3D
  • COSMOS Reveals the Cosmos
  • 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.

    Thursday, December 28, 2006

    First Stars Behind the Scene

    There are several recognized processes from the early universe that leave relic effects setting the stage for galaxy formation and evolution. We deal here with the first generarion of stars, primordial nucleosynthesis, the epoch of recombination, and the thermal history of various cosmic backgrounds.


    Part of understanding the time line is first knowing where the Pregalactic Universe exists in that time line.

    Plato:
    So given the standard information one would have to postulate something different then what is currently classified?

    A new Type III (what ever one shall attribute this to definition), versus Type I, Type IIa?


    The idea is to place the distant measure in relation to what is assumed of TYPE I, TypeIIa. It assumes all these things, but has to been defined further, to be a Type III. That's the point of setting the values of where this measure can be taken from.

    I wrote someplace else the thought generated above. It is nice that the world of scientists are not so arrogant in some places, while some have been willing to allow the speculation to continue. Even amidst their understanding, that I was less then the scientist that they are, yet recognizing, I am deeply motivated to understanding this strange world of cosmology and it's physics.

    When I wrote this title above I was actually thinking of two scenarios that are challenging the way I am seeing it.


    Credit: NASA/WMAP Science Team
    WMAP has produced a new, more detailed picture of the infant universe. Colors indicate "warmer" (red) and "cooler" (blue) spots. The white bars show the "polarization" direction of the oldest light. This new information helps to pinpoint when the first stars formed and provides new clues about events that transpired in the first trillionth of a second of the universe.


    First of these, was in terms of the time line and what we know of the WMAP demonstration given to us of that early universe. I of course inject some of what I know by past research to help the general public understand what is being demonstrated from another perspective.

    This is what happens as you move through different scientists(Wayne Hu) thoughts to see the world in the way they may see it. This concept can be quite revealing sometimes giving a profound effect to moving the mind to consider the universe in new ways.



    "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.



    Even though in the context of this post, we may see the universe in a "simple experiment" not just demonstrating the "early universe," but the universe in it's "gravitational effect" from that evolution to matter defined now.

    The Time Line


    Credit: NASA/WMAP Science Team
    The expansion of the universe over most of its history has been relatively gradual. The notion that a rapid period "inflation" preceded the Big Bang expansion was first put forth 25 years ago. The new WMAP observations favor specific inflation scenarios over other long held ideas.


    Looking to the "far left" of the image we see the place where the cosmic background is being demonstrated, while to the "far right" we see the satellite which has helped measure what we know of the early universe. So this "distant measure" has allowed us to understand what is behind the scene of what we know of cosmology today of events, galaxies and such.

    Second, what comes to mind is the Massive Blue Star of 100 Solar masses that would have been further out in terms of the billions of years that we may of sought in terms of our measures. So this would be of value I would assume in relation to model perspective and measures?

    So the distance measure has been defined then by understanding the location of the cosmic background and the place where the Blue giants will have unfolded in their demise, to the creation of blackholes.


    The processes in the Universe after the Big Bang. The radio waves are much older than the light of galaxies. From the distortion of the images (curved lines) - caused by the gravitation of material between us and the light sources - it is possible to calculate and map the entire foreground mass.Image: Max Planck Institute of Astrophysics
    We don't have to wait for the giant telescope to get unparalleled results from this technique, however. One of the most pressing issues in current physics is to gain a better understanding of the mysterious Dark Energy which currently drives the accelerated expansion of the Universe. Metcalf and White show that mass maps of a large fraction of the sky made with an instrument like SKA could measure the properties of Dark Energy more precisely than any previously suggested method, more than 10 times as accurately as mass maps of similar size based on gravitational distortions of the optical images of galaxies.

    Tuesday, December 19, 2006

    Cosmic ray spallation


    As this NASA chart indicates, 70 percent or more of the universe consists of dark energy, about which we know next to nothing
    Other explanations of dark energy, called "quintessence," originate from theoretical high-energy physics. In addition to baryons, photons, neutrinos, and cold dark matter, quintessence posits a fifth kind of matter (hence the name), a sort of universe-filling fluid that acts like it has negative gravitational mass. The new constraints on cosmological parameters imposed by the HST supernova data, however, strongly discourage at least the simplest models of quintessence.


    Of course my mind is thinking about the cosmic triangle of an event in the cosmos. So I am wondering what is causing the "negative pressure" as "dark energy," and why this has caused the universe to speed up.


    SNAP-Supernova / Acceleration Probe-Studying the Dark Energy of the Universe
    The discovery by the Supernova Cosmology Project (SCP) and the High-Z Supernova team that the expansion of the universe is accelerating poses an exciting mystery — for if the universe were governed by gravitational attraction, its rate of expansion would be slowing. Acceleration requires a strange “dark energy’ opposing this gravity. Is this Einstein’s cosmological constant, or more exotic new physics? Whatever the explanation, it will lead to new discoveries in astrophysics, particle physics, and gravitation.


    By defining the context of particle collisions it was evident that such a place where such a fluid could have dominated by such energy in stars, are always interesting as to what is ejected from those same stars. What do those stars provide for the expression of this universe while we are cognoscente of the "arrow of time" explanation.


    This diagram reveals changes in the rate of expansion since the universe's birth 15 billion years ago. The more shallow the curve, the faster the rate of expansion.


    So of course these thoughts are shared by the perspective of educators to help us along. But if one did not understand the nature of the physical attributes of superfluids, how would one know to think of the relativistic conditions that high energy provides for us?


    NASA/WMAP Scientific Team: Expanding Universe



    So recognizing where these conditions are evident would be one way in which we might think about what is causing a negative pressure in the cosmos.

    Given the assumption that the matter in the universe is homogeneous and isotropic (The Cosmological Principle) it can be shown that the corresponding distortion of space-time (due to the gravitational effects of this matter) can only have one of three forms, as shown schematically in the picture at left. It can be "positively" curved like the surface of a ball and finite in extent; it can be "negatively" curved like a saddle and infinite in extent; or it can be "flat" and infinite in extent - our "ordinary" conception of space. A key limitation of the picture shown here is that we can only portray the curvature of a 2-dimensional plane of an actual 3-dimensional space! Note that in a closed universe you could start a journey off in one direction and, if allowed enough time, ultimately return to your starting point; in an infinite universe, you would never return.


    Of course it is difficult for me to understand this process, but I am certainly trying. If one had found that in the relativistic conditions of high energy scenarios a "similarity to a flattening out" associated with an accelerating universe what would this say about information travelling from the "origins of our universe" quite freely. How would this effect dark energy?

    In physics, a perfect fluid is a fluid that can be completely characterized by its rest frame energy density ρ and isotropic pressure p.

    Real fluids are "sticky" and contain (and conduct) heat. Perfect fluids are idealized models in which these possibilities are neglected. Specifically, perfect fluids have no shear stresses, viscosity, or heat conduction.

    In tensor notation, the energy-momentum tensor of a perfect fluid can be written in the form

    [tex] T^{\mu\nu}=(\rho+p)\, U^\mu U^\nu + P\, \eta^{\mu\nu}\,[/tex]



    where U is the velocity vector field of the fluid and where ημν is the metric tensor of Minkowski spacetime.

    Perfect fluids admit a Lagrangian formulation, which allows the techniques used in field theory to be applied to fluids. In particular, this enables us to quantize perfect fluid models. This Lagrangian formulation can be generalized, but unfortunately, heat conduction and anisotropic stresses cannot be treated in these generalized formulations.

    Perfect fluids are often used in general relativity to model idealized distributions of matter, such as in the interior of a star.


    So events in the cosmos ejected the particles, what geometrical natures embued such actions, to have these particle out in space interacting with other forms of matter to create conditions that would seem conducive to me, for that negative pressure?

    Cosmic ray spallation is a form of naturally occurring nuclear fission and nucleosynthesis. It refers to the formation of elements from the impact of cosmic rays on an object. Cosmic rays are energetic particles outside of Earth ranging from a stray electron to gamma rays. These cause spallation when a fast moving particle, usually a proton, part of a cosmic ray impacts matter, including other cosmic rays. The result of the collision is the expulsion of large members of nucleons (protons and neutrons) from the object hit. This process goes on not only in deep space, but in our upper atmosphere due to the impact of cosmic rays.

    Cosmic ray spallation produces some light elements such as lithium and boron. This process was discovered somewhat by accident during the 1970s. Models of big bang nucleosynthesis suggested that the amount of deuterium was too large to be consistent with the expansion rate of the universe and there was therefore great interest in processes that could generate deuterium after the big bang.

    Cosmic ray spallation was investigated as a possible process to generate deuterium. As it turned out, spallation could not generate much deuterium, and the excess deuterium in the universe could be explained by assuming the existence of non-baryonic dark matter. However, studies of spallation showed that it could generate lithium and boron. Isotopes of aluminum, beryllium, carbon(carbon-14), chlorine, iodine and neon, are also formed through cosmic ray spallation.



    Talk about getting tongue tied, can you imagine, "these fluctuations can generate their own big bangs in tiny areas of the universe." Read on.


    Photo credit: Lloyd DeGrane/University of Chicago News Office
    Carroll and Chen’s scenario of infinite entropy is inspired by the finding in 1998 that the universe will expand forever because of a mysterious force called “dark energy.” Under these conditions, the natural configuration of the universe is one that is almost empty. “In our current universe, the entropy is growing and the universe is expanding and becoming emptier,” Carroll said.

    But even empty space has faint traces of energy that fluctuate on the subatomic scale. As suggested previously by Jaume Garriga of Universitat Autonoma de Barcelona and Alexander Vilenkin of Tufts University, these fluctuations can generate their own big bangs in tiny areas of the universe, widely separated in time and space. Carroll and Chen extend this idea in dramatic fashion, suggesting that inflation could start “in reverse” in the distant past of our universe, so that time could appear to run backwards (from our perspective) to observers far in our past.