Poincaré Hyperbolic Disk

See also:Poincaré Hyperbolic Disk

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Hyperbolic Geometry


Geometric models of hyperbolic geometry include the Klein-Beltrami model, which consists of an open disk in the Euclidean plane whose open chords correspond to hyperbolic lines. A two-dimensional model is the Poincaré hyperbolic disk.

Weisstein, Eric W. "Hyperbolic Geometry." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/HyperbolicGeometry.html

 

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A computer-generated image showing the pattern of a p-mode solar acoustic oscillation both in the interior and on the surface of the sun. (l=20, m=16 and n=14.) Note that the increase in the speed of sound as waves approach the center of the sun causes a corresponding increase in the acoustic wavelength.

Helioseismology is the study of the propagation of wave oscillations, particularly acoustic pressure waves, in the Sun.

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SOHO Reads the Solar Flares

Measurements of the Sun's oscillations provide a window into the invisible interior of the Sun allowing scientists to infer the structure and composition as well as the rotation and dynamics of the solar interior.

(Extreme ultraviolet Imaging Telescope) images the solar atmosphere at several wavelengths, and therefore, shows solar material at different temperatures. In the images taken at 304 Angstroms the bright material is at 60,000 to 80,000 degrees Kelvin. In those taken at 171, at 1 million degrees. 195 Angstrom images correspond to about 1.5 million Kelvin. 284 Angstrom, to 2 million degrees. The hotter the temperature, the higher you look in the solar atmosphere.


p-Modes

The mysterious source of these oscillations was identified by way of theoretical arguments in 1970 and confirmed by observations in 1975. The oscillations we see on the surface are due to sound waves generated and trapped inside the sun. Sound waves are produced by pressure fluctuations in the turbulent convective motions of the sun's interior. As the waves move outward they reflect off of the sun's surface (the photosphere) where the density and pressure decrease rapidly..

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It's Effect on Earth

The plots on this page show the current extent and position of the auroral oval at each pole, extrapolated from measurements taken during the most recent polar pass of the NOAA POES satellite. "Center time" is the calculated time halfway through the satellite's pass over the pole.

Today's Space Weather

Any threat to communications is always seriously assessed. What we want to see on the other side of the Sun is whether any outburst is coming, that could seriously affect those same communications.

See Also:Backreaction: Reflections on the Sun

Mapping Weather Changes

Plato Said:

More to the truth then.

A device, that reveals what "color of gravity" means as you display your patronage in thought. More to the "signature of your soul being," that while thinking genome, it's more what you like to do with this physiological makeup and brain, that reveals the true nature of the individual in full regalia.

A lie detector. No. Something much more substantial in this device as the defendant sits under sworn testimony.

See also:Yes, but are you a prime-number?

Uniqueness of the soul arising from it's beginning, is that each life is "an identification unique" of what can be manifested as a circle if you like, and identified to each quadrant as "an image to explain," what and why you came into this life and the purpose.

It begins and one travels clockwise for consideration. This once existed, yet does not now. Such memories can be contained to mandalas of a sort, while you contend to produce mind maps for containment in this life as models that are not so different to see that such a thing can become an identifier of what you are motivated to do and carry over into this life. Energy packet that can awake into what has been done previously now provided a time when such a capsule explodes into awareness.

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.

I wanted to write this post with the understanding that while we define ourselves in terms of the body, earth, there is a "weather that surrounds us" that is not so different then what surrounds the earth.

So below is a scientific analysis, while I speculated as to the measures that would require such a device for existence to be thought of, in much the same way. "So chaotic" that such a realization exists in mind that the detection of the truer color palettes, can be turbulent above, while underneath, such weather disturbances detour those same color factors held too, in body mind solidified.

This device is also used to dial into the history and memory of a soul and their functions of the past, as they are revealed through this screen.

Two experiments harness cosmic rays to help monitor and predict weather. On the surface, COSMOS detectors clock the speeds of neutrons that are generated when cosmic rays penetrate the ground. This yields a measure of soil moisture, an important factor in precipitation and crop yields. And half a mile underground, muons coming into the MINOS detector were used to take the temperature of the lower stratosphere. This could help validate readings from satellites and weather balloons. Illustration: Sandbox StudioSee:Cosmic weather gauges By Glennda Chui and Tona Kunz

Space Weather

Unfurling Prominence Eruption (October 10, 2008)

The STEREO (Ahead) spacecraft observed this visually stunning prominence eruption on Sept. 29, 2008 in the 304 Angstrom wavelength of extreme UV light. It rose up and cascaded to the right over several hours, appearing something like a flag unfurling, as it broke apart and headed into space. The material observed is actually ionized Helium at about 60,000 degrees. Prominences are relatively cool clouds of gas suspended above the Sun and controlled by magnetic forces.

SOHO Pick of the Week

It is always interesting to me, that the weather on earth, could have gone beyond the scope of the incidences of natural calamities that happen on earth, could also be affected by events out there in space.

The Effect of Cosmic Particle Collisions

How many with holding views of Climate Change have ever considered Earth's place in the cosmos and it's affects created from cosmic particle collisions from space?

So this post is to help illuminate the subject a bit with past information so you get the understanding and where they are todays in terms of science's research. Also I wanted to include my own observation I made that were readily evident as we watch a forest get disseminated by beetle infestation.

So that is part of it, that climate may produce pictures on Glacier withdrawals in relation to previous year's pictures. What other contributions should be considered then?


Finding a heavenly key to climate change

Researchers at the European Organization for Nuclear Research (Cern) in Geneva are looking at how radiation from outer space could be affecting our environment.

A new cutting edge experiment aims to discover how exactly cosmic rays and the Sun may influence the formation of low level clouds, and possibly climate change.

More than two centuries ago, the British Astronomer Royal William Herschel noted a correlation between sunspots an indicator of solar activity and the price of wheat in England. He suggested that when there were few sunspots, prices rose.

However, up until recently, there was little to back up this hypothesis. Today, inside an unassuming some would say decrepit:looking building at Cern, the Cloud (Cosmics Leaving OUtdoor Droplets) experiment might help explain how the Sun affects the climate.

See: Finding a heavenly key to climate change

Variation of Cosmic ray flux and Global cloud coverage by Henri Svensmark and Eigil Friis-Christensen, 26 NOvember 1996

Chaos and Complexity

Robert Betts Laughlin (born November 1, 1950) is a professor of Physics and Applied Physics at Stanford University who, together with Horst L. Störmer and Daniel C. Tsui, was awarded the 1998 Nobel Prize in physics for his explanation of the fractional quantum Hall effect.

Laughlin was born in Visalia, California. He earned a B.A. in Physics from UC Berkeley in 1972, and his Ph.D. in physics in 1979 at MIT, Cambridge, Massachusetts, USA. In the period of 2004-2006 he served as the president of KAIST in Daejeon, South Korea.

Laughlin shares similar views to George Chapline on the existence of black holes. See: Robert B. Laughlin

The Emergent Age, by Robert Laughlin

The natural world is regulated both by fundamental laws and by powerful principles of organization that flow out of them which are also transcendent, in that they would continue to hold even if the fundamentals were changed slightly. This is, of course, an ancient idea, but one that has now been experimentally demonstrated by the stupendously accurate reproducibility of certain measurements - in extreme cases parts in a trillion. This accuracy, which cannot be deduced from underlying microscopics, proves that matter acting collectively can generate physical law spontaneously.

Physicists have always argued about which kind of law is more important - fundamental or emergent - but they should stop. The evidence is mounting that ALL physical law is emergent, notably and especially behavior associated with the quantum mechanics of the vacuum. This observation has profound implications for those of us concerned about the future of science. We live not at the end of discovery but at the end of Reductionism, a time in which the false ideology of the human mastery of all things through microscopics is being swept away by events and reason. This is not to say that microscopic law is wrong or has no purpose, but only that it is rendered irrelevant in many circumstances by its children and its children's children, the higher organizational laws of the world.

Understanding the occurrence of natural things happening within earth's environments has a resulting affect to one's children's children here within the very make up of reality. How would know what is happening and the resulting affect moving toward societies if you did not dig deeper and understand that a reductionist effect is very evident.

Predictability was moved toward "Mercuries orbit" while the oscillatory nature of events resonant deeper into society. WE had learnt to propel satellites through space using minimum booster propellants by understanding these relations.

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”

So on the one hand if we are giving new perspective to the events of climate change and we look at what is happening not only with wheat fields in relation to sun spot activities, we need to understand it's effect, by the presence of natural events occurring as well.

Pine Beetle Infestation


Adult mountain pine beetle, Dendroctonus ponderosae

The Suzuki Foundation has published some of the most recent and most exhaustive research on mountain pine beetle epidemics in BC, but it appears the provincial government is only interested in receiving information from an industry perspective, he added.

“We actually were asked by the Premier’s office to attend tomorrow’s symposium, but when we received the agenda early this week we saw we weren’t on it. When I called to inquire, I was told we could observe from the audience but not present our report called Salvaging Solutions.

“I am absolutely flabbergasted and in fact insulted. In 25 years of attending such forums, as a Member of Parliament and for 10 years at the Suzuki Foundation, I have never been invited by a senior government official to travel 400 kilometres so that I can be window dressing. You have to wonder who on Earth is running Premier Campbell’s office and if they are really interested in gathering all of the best information on this issue.”

Photo by Lorraine Maclauchlan, Ministry of Forests, Southern Interior Forest Region
See:Mountain Pine Beetle Photos

Could Climate change play a role in this? If this is so, and is there some evidence that suggests, that our cold winters are not doing what they are supposed to be doing, this spread could go unabated?

The process of an event happening from space in terms of collision processes, and seeing this relation in terms of Cerenkov radiation, one gets a valuable sense of the process not only at the time of collision, but of what is disseminated, after the event itself happens.

Now while one may of focused on Cerenkov radiation, the effect of this process can be taken down not only to mean "cloud formation," but also, the environment suitable for new manifestations that are "conducive too" bug infestation.

A Sphere that is Not so Round

Of course the most basic shape for me would be the sphere, but in our understanding of the earth and the images that we see of earth, our view is shattered by the first time we seen this enormous object, from the eyes of those who had always been earth bound and restricted to the calculation of a abstract world.

Now it is not so round, and the views we recieve of this information help us to understand a few things about the way in which we will look at the earth and its weak field manifestation, as one extreme of the whole gravitational framework we like to understand over this complex perspective of our cosmos from the very strong gravitational foreces, to the very weak.

Gravity is the force that pulls two masses together. Since the earth has varied features such as mountains, valleys, and underground caverns, the mass is not evenly distributed around the globe. The "lumps" observed in the Earth's gravitational field result from an uneven distribution of mass inside the Earth. The GRACE mission will give us a global map of Earth's gravity and how it changes as the mass distribution shifts. The two satellites will provide scientists from all over the world with an efficient and cost-effective way to map the Earth's gravity field.

The primary goal of the GRACE mission is to map the Earth's gravity field more accurately than has ever been done before. You might ask, how will GRACE do this? Two identical spacecraft will fly about 200 kilometers apart. As the two GRACE satellites orbit the Earth they are pulled by areas of higher or lower gravity and will move in relation to each other. The satellites are located by GPS and the distance between them is measured by microwave signals. The two satellites do not just carry science instruments, they become the science instrument. When mass moves from place to place within the Earth's atmosphere, ocean, land or frozen surface (the "cryosphere"), the gravity field changes.

Highlighting in bold, it would not be necessary to go into a full explanation if we considered in context the cosmic string and clumping in our universe? But I have moved to far from the point of reference of our two systems of consideration here so back to the next point.

NASA's Earth Science Enterprise funded this research as part of its mission to understand and protect our home planet by studying the primary causes of climate variability, including trends in solar radiation that may be a factor in global climate change.

One of the interesting ideas in these shapes is understanding what can cause disturbances within their fields and how we might look at these issues if we move our consideration from the normals views of measure stick and straight lines, to variations we have demonstrated on earth(hills and valleys). To how we would percieve "resonance" created in the sun, and use this, to determine the volatile solar coronas that would be ejected into space but of weather systems affected as well. This is a good monitoring tool fore warning system that could affect communication within the sphere of our own influence.



But let me take this one step further, in that we consider both these frames, in context of each other and ask the connection in lagrangian way. How would we see gravitational points of consideration related to each other? Would this help those less inclined to understand the variations in perspective of gravity to comprehend the value Einstein lead us through, to take us to a much more dynamical view of the cosmos?

So in the one sense to take what we know of the formulation at a euclidean level and move it accordingly, to cosmological perspectives. This is a apprehenson of Gr that we are geometrically lead through, to perspectives of the space we would now enjoy of Gauss. Having Reimann views here of spherical consideration, we understand well, the developing roads to mathematical perspective debated and shunned by Peter?:)

So looking at the way in which we entertain the earth view, and how we interpret the sun, we do not limit our views just to the spherical balls one might like to say is self evident, but having the knowledge of what we are lead through geometrically as well as toplogically, it becomes a much more interesting reality to entertain.

A Happy News Years to all those who visit:)