When Black Holes Collide

See also: What Happens When Black Holes Collide? - Kip Thorne

 

Inside Einstein's Mind

See Also: Inside Einstein's Mind | NOVA - PBS Documentary 

The LIGO and Virgo Gravitational-Wave Detectors

An artist's impression of two stars orbiting each other (left). The orbit shrinks as the system emits gravitational waves (middle). When the stars merge (right), there is a resulting powerful emission of gravitational waves. [Image: NASA]

The LIGO and Virgo gravitational-wave detectors have been hunting for signals from the collisions of neutron stars and black holes, which are dense objects formed from the remains of stars many times more massive than our Sun. When two of these objects orbit each other in a binary system, the emission of gravitational waves will gradually carry away some of their orbital energy, forcing them to get closer and closer together. This happens slowly at first, but as the orbit gets tighter the gravitational waves get stronger and the process accelerates until eventually the stars collide and merge, emitting in the last few seconds one of the most powerful outflows of energy in the Universe. See: What gravitational waves can tell us about colliding stars and black holes

The LIGO Hanford Control Room

LIGO's mission is to directly observe gravitational waves of cosmic origin. These waves were first predicted by Einstein's general theory of relativity in 1916, when the technology necessary for their detection did not yet exist. Gravitational waves were indirectly suggested to exist when observations were made of the binary pulsar PSR 1913+16, for which the Nobel Prize was awarded to Hulse and Taylor in 1993.

The Binary Pulsar PSR 1913+16:

See Also:

•  Advanced LIGO -- The Next Step in Gravitational Wave Astronomy

Energy Boost From Shock Front

Main Components of CNGS

A 400 GeV/c proton beam is extracted from the SPS in 10.5 microsecond short pulses of 2.4x1013 protons per pulse. The proton beam is transported through the transfer line TT41 to the CNGS target T40. The target consists of a series of graphite rods, which are cooled by a recirculated helium flow. Secondary pions and kaons of positive charge produced in the target are focused into a parallel beam by a system of two pulsed magnetic lenses, called horn and reflector. A 1 km long evacuated decay pipe allows the pions and kaons to decay into their daughter particles - of interest here is mainly the decay into muon-neutrinos and muons. The remaining hadrons (protons, pions, kaons) are absorbed in an iron beam dump with a graphite core. The muons are monitored in two sets of detectors downstream of the dump. Further downstream, the muons are absorbed in the rock while the neutrinos continue their travel towards Gran Sasso.microsecond short pulses of 2.4x1013 protons per

 For me it has been an interesting journey in trying to understand the full context of a event in space sending information through out the cosmos in ways that are not limited to the matter configurations that would affect signals of those events.

In astrophysics, the most widely discussed mechanism of particle acceleration is the first-order Fermi process operating at collisionless shocks. It is based on the idea that particles undergo stochastic elastic scatterings both upstream and downstream of the shock front. This causes particles to wander across the shock repeatedly. On each crossing, they receive an energy boost as a result of the relative motion of the upstream and downstream plasmas. At non-relativistic shocks, scattering causes particles to diffuse in space, and the mechanism, termed "diffusive shock acceleration," is widely thought to be responsible for the acceleration of cosmic rays in supernova remnants. At relativistic shocks, the transport process is not spatial diffusion, but the first-order Fermi mechanism operates nevertheless (for reviews, see Kirk & Duffy 1999; Hillas 2005). In fact, the first ab initio demonstrations of this process using particle-in-cell (PIC) simulations have recently been presented for the relativistic case (Spitkovsky 2008b; Martins et al. 2009; Sironi & Spitkovsky 2009).

Several factors, such as the lifetime of the shock front or its spatial extent, can limit the energy to which particles can be accelerated in this process. However, even in the absence of these, acceleration will ultimately cease when the radiative energy losses that are inevitably associated with the scattering process overwhelm the energy gains obtained upon crossing the shock. Exactly when this happens depends on the details of the scattering process. See: RADIATIVE SIGNATURES OF RELATIVISTIC SHOCKS

So in soliton expressions while trying to find such an example here in the blog does not seem to be offering itself in the animations of the boat traveling down the channel we are so familiar with that for me this was the idea of the experimental processes unfolding at LHC. The collision point creates shock waves\particle sprays as Jets?

Soliton

Solitary wave in a laboratory wave channel.

In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium. (The term "dispersive effects" refers to a property of certain systems where the speed of the waves varies according to frequency.) Solitons arise as the solutions of a widespread class of weakly nonlinear dispersive partial differential equations describing physical systems. The soliton phenomenon was first described by John Scott Russell (1808–1882) who observed a solitary wave in the Union Canal in Scotland. He reproduced the phenomenon in a wave tank and named it the "Wave of Translation".

So in a sense the shock front\horn for me in respect of Gran Sasso is the idea that such a front becomes a dispersive element in medium expression of earth to know that such densities in earth have a means by which we can measure relativist interpretations as assign toward density determinations in the earth.  Yet,  there are things not held to this distinction so know that they move on past such targets so as to show cosmological considerations are just as relevant today as they are while we set up the experimental avenues toward identifying this relationship here on earth.

 For more than a decade, scientists have seen evidence that the three known types of neutrinos can morph into each other. Experiments have found that muon neutrinos disappear, with some of the best measurements provided by the MINOS experiment. Scientists think that a large fraction of these muon neutrinos transform into tau neutrinos, which so far have been very hard to detect, and they suspect that a tiny fraction transform into electron neutrinos. See: Fermilab experiment weighs in on neutrino mystery

When looking out at the universe such perspective do not hold relevant for those not looking past the real toward the abstract? To understand the distance measure of binary star of Taylor and Hulse,  such signals need to be understood in relation to what is transmitted out into the cosmos? How are we measuring that distance? For some who are even more abstractedly gifted they may see the waves generated in gravitational expression. So this becomes a means which which to ask if the binary stars are getting closer then how is this distance measured? You see?

Measurement of the neutrino velocity with the OPERA detectorin the CNGS beam 

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.

Ring World

Impact armor, a flexible form of clothing that hardens instantly into a rigid form stronger than steel when rapidly deformed (for example, by the impact of a projectile such as a bullet) - a technology which is quickly approaching reality; in fact being tested during the 2006 Winter Olympics as a product called d3o

Lest you forget "the concept" above is written in a story form of our past?

How is it possible for the human mind to see itself in some future?

We must ask ourselves about the value of the conscience "in moving backwards in time?" An "image" constructed(memory), while not having this ability to "move forward?"

Imagine that you give weight to the idea of human experience, limiting it, to the shades of darkness in our emotive responses. Yet, there is a time when happiness seems so effortless, that as we check how fast "time" has past, we wonder in amazement?

No need here to draw up Einstein's conclusions about a "pretty girl and the hot stove" again and again, as it should have sunk in by now? You are the observer and you color your world.



It's a brief image that I saw myself deploring the satellites in space. Yet, with it the fear of holding on to all that is the firm resolve of one's own focus. Of what is known. Of what we feel is safe? A satellite lost in space. My own fear, as I gazed into the black unknown, possibly lost forever.

It is part of "my" conscious mind that I would produce such imagery? No, my anxieties were manipuated into a picture form. I sent the insecurites of my own awareness of mind deep into the "creativity" of the subconscious mind.

You did not know you had such ability did you?:)

Imagine that I stand on the edge of the Grand Canyon "which I did," and that space spread out before me, is the space of the universe? Imagine indeed, how tight my grip as I look.

Science Fiction

Who is it that could not be touched by the fiction of science to have speculated about how we shall live in another time and place? It comes out when you create the circumstances for the mind to wonder, "creatively."


(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.

.

What gives the mind it capabilities to venture forward and we find technologies in the "sports world being demonstrated" to harness the "memories of the geometrics" which will save us?



If you understood the "lighthouse analogy" then why had you failed to realized the most "intense point" of impact/ highest energy particles delivered, arose from such geometrics involved? Hulse and Taylor? How was the binary stars revealed while the revolutions got closer?



Lest some forget too, it is well that the mind see's the value of the "gravity probe b" in such "geometric form" that it has placed a picture(nit it's schematics?) before us, which saids and acknowledges the nature and move to the non-euclidean geometries. Understandng the "lagrangian perspective" is then is a short step away?

Now what has transpired from the fiction of Ring World?


d3o Mesh is a perforated textured sheet which has been specifically designed for comfort and breathability for applications requiring good flexure and medium levels of impact protection and is suitable for all applications.

(dee-three-oh) is a specially engineered material made with intelligent molecules. They flow with you as you move but on shock lock together to absorb the impact energy.

It is okay to thnk about "the theoretical" and push forward the circumstances that allow one to speculate and drawn the new imagery of mind to new horizons. New lives. We do this all the time when we re-assess our lives in face of the directions we would like to go?


Plato:

Now you must remember, as a student and a older one at that, there will always be mistakes. Being granted this reprieve for a time(writing our fiction?), while we look at the question asked, what do I think? Hmmmm.... interesting question.

What is your story of creation? What hides underneath the story, what is it 's nature, that we may have "created the myth" and let one believe it is just a story?

That "light Bulb" was the Sun?

Plato:

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

It was Socrates' turn to look puzzled.
"Oh, wake up. You know what chaos is. Simple deterministic dynamics leading to irregular, random-looking behavior. Butterfly effect. That stuff."
Of course, I know that," Socrates said in irritation. "No, it was the idea of dynamic logic that was puzzling me. How can logic be dynamic

Now surely this is not the case? A "light bulb" is really the sun?

Some Orbits with theirLyapunov Exponents

Maybe just some analogy to what may have become the brilliant idea, was just looking hard enough into what the energy is doing? It found an "avenue or road" to allow for the transferance from "the place," where all ideas reside to become? Hence, "the nature of all things" which already exist, to have found it's way through the mind into a more briliant focus of what was determined of the energy now, becomes, the sun/idea? Worked hard enough to manifest into reality?


Artist's impression of the micro vortices observed in the Northern magnetic cusp by Cluster. It is the first time ever that such phenomenon is observed in space.

So I sit here wondering about where that energy had gone, and how and I am quickly transported back to the conditions of the early universe? "QGP! what you say?" How is that possible?

And from it we see the lagrangian views as points between the sun/earth relation that allow for easier transport(satellites in orbit) then other conditions if gotten into the flow of things?

A State of equilibrium? Que! Non?




Sample Orbits of the Standard Map
(x, y) → (x + y, y − 0.971635 sin (2πx)/2π)Different orbits are assigned different colors.

Moore's Law Endangered?

Moore's Law(wikipedia 28 May 2006)

Moore's law is the empirical observation that the complexity of integrated circuits, with respect to minimum component cost, doubles every 24 months[1].

Clifford, in writing the brief article of interest, he relays another article here for consideration.

Spotting the quantum tracks of gravity wavesby Zeeya Merali

Their calculations show that as the gravitational force from a passing wave slightly changes the momentum of the entangled particles, it should knock them out of their pristine spin state. In principle, that effect could be detected, but it is so small that no one has found a way to pick it up, explains Yeo. He and his team suggest that the effect could be amplified using a process called "entanglement swapping", which allows pairs of particles that have never been in contact to become entangled. "Spin and momentum become entangled to a higher degree so that changing one produces an even larger change in the other," says quantum physicist Chris Adami at the Jet Propulsion Laboratory in Pasadena, California.

While it may have been some time that now passes it is worth the mention again that "spintronics" has this role to play, yet, in gravity probe B, the spherical valuations would only now make sense on a large cosmological plate?

So by analogy usng Grvaity probe B we gain perspective onthe relevances of change within that gravitational radiation?

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".

Yet, is is of some concern that when we travel down to such microstates, that we are able in fact to keep a pure and clean picture of what existed once, and had gone through the changes in "spin orientation and momentum?"

If the boundariesof the blackhole are indeed collapsing to supersymmetrcial proportions, then what use photon information if it cannot describe for us something that is going on inside?

#18

The distinction is important, since the term gravity waves is primarily used in fluid dynamics to describe fluid oscillations that have gravity as their restoring force

I noticed link did not work and I was looking for confirmation as to your statement. Not that you need it :)

So just to confirm source, I reiterate it here again. If any a expert, would they like to clean up reference(does it need to be)?

(Gravitational waves are sometimes called gravity waves, but this term should be reserved for a completely different kind of wave encountered in hydrodynamics.)

Also, "the effect" while in the throes of gravity waves just to clarify the thinking(ocean waves and such), effects of Hulse and Taylor different, while the entanglement issue speaks to energy release is defined by photons passage of time as is?

What is the fastest way for it to get here without being influenced. Lagrangian perspective[Edwin F Taylors least Action Principal] and "tunnel transport" and effects of lensing?

Of course thinking about the nature of the types of high energy level photon(gamma) and what they can traverse through, may be confusing, yet distinctive?

One of the physical device limitations described by Dr. Packan is that transistor gates, as further miniaturization is pursued, will become so thin that quantum mechanical “tunneling” effects will arise. These quantum effects will create leakage current through the gate when the switch is “off” that is a significant fraction of the channel current when the device is “on”. This could reduce the reliability of the transistors resulting in increased cost and decreased availability of more powerful chips

More on Dual Nature of Blackhole

In some theories, microscopic black holes may be produced in particle collisions that occur when very-high-energy cosmic rays hit particles in our atmosphere. These mini-black-holes would decay into ordinary particles in a tiny fraction of a second and would be very difficult to observe in our atmosphere.

The ATLAS Experiment offers the exciting possibility to study them in the lab (if they exist). The simulated collision event shown is viewed along the beampipe. The event is one in which a mini-black-hole was produced in the collision of two protons (not shown). The mini-black-hole decayed immediately into many particles. The colors of the tracks show different types of particles emerging from the collision (at the center).

The RHIC fireball as a dual black hole

We argue that the fireball observed at RHIC is (the analog of) a dual black hole. In previous works, we have argued that the large $s$ behaviour of the total QCD cross section is due to production of dual black holes, and that in the QCD effective field theory it corresponds to a nonlinear soliton of the pion field. Now we argue that the RHIC fireball is this soliton. We calculate the soliton (black hole) temperature, and get $T=4a /\pi$, with $a$ a nonperturbative constant. For $a=1$, we get $175.76 MeV$, compared to the experimental value of the fireball ``freeze-out'' of about $176 MeV$. The observed $\eta/ s$ for the fireball is close to the dual value of $1/4\pi$. The ``Color Glass Condensate'' (CGC) state at the core of the fireball is the pion field soliton, dual to the interior of the black hole. The main interaction between particles in the CGC is a Coulomb potential, due to short range pion exchange, dual to gravitational interaction inside the black hole, deconfining quarks and gluons. Thus RHIC is in a certain sense a string theory testing machine, analyzing the formation and decay of dual black holes, and giving information about the black hole interior.

The case for mini black holes

Geodesics in Kerr space-time, as predicted by the theory of general relativity. Small black holes produced, for example at colliders, are expected to be spinning. Image: Numerical simulation by Max Planck Institute for Gravitational Physics, Albert Einstein Institute (AEI); visualization by W Benger, Zuse Institute, Berlin/AEI

Approaches of the Gauss-Bonnet type, which include quadratic terms in scalar curvature in the Lagrangian, are good candidates for a description beyond general relativity as they can be supported both by theoretical arguments (heterotic strings in particular) and by phenomenological arguments (Taylor expansion in curvature). In such a case, the coupling constant of the Gauss-Bonnet term, namely the quantum character of the gravitational theory used (and the link with the underlying string theory) can also be reconstructed and the LHC would become a very valuable tool for studying speculative gravitation models.

Other promising avenues are also being investigated for new physics. Firstly, the black holes formed may be excellent intermediate states for highlighting new particles. When the collision energy is higher than the Planck scale ED, the cross-section for the creation of black holes is quite large (~500 pbarn) and has no suppression factor. Moreover, when the temperature of the black hole is higher than the mass of a particle, the particle must be emitted during evaporation in proportion to its number of internal degrees of freedom. There is thus a definite potential for the search for the Higgs or for supersymmetric particles in the evaporation products of black holes, possibly with cross-sections much greater than for the direct processes. Finally, taking account of a D-dimensional cosmological constant also modifies the evaporation law. If the constant is sufficiently high - which is possible without contradicting the low value measured in our brane - the temperature and the coupling coefficients with the entities emitted could be the signature of this particular structure of space-time. It would be quite neat and certainly surprising that a measurement of the cosmological constant in the bulk should come from the LHC!

Microscopic black holes are thus a paradigm for convergence. At the intersection of astrophysics and particle physics, cosmology and field theory, quantum mechanics and general relativity, they open up new fields of investigation and could constitute an invaluable pathway towards the joint study of gravitation and high-energy physics. Their possible absence already provides much information about the early universe; their detection would constitute a major advance. The potential existence of extra dimensions opens up new avenues for the production of black holes in colliders, which would become, de facto, even more fascinating tools for penetrating the mysteries of the fundamental structure of nature

Public Service Announcement: Black Holes @ RHIC by John Steinberg

Unfortunately, all of this is overstated. At RHIC we don’t make a “real” black hole, in the sense envisioned by Einstein’s General Theory of Relativity. Rather, Nastase’s point of view is that RHIC collisions can be described by a “dual” black hole. But what does “dual” mean in this context? It’s not “two-ness” in any sense, but rather indicates that one can write down a theory which describes the collision as a black hole, but in a completely different world than that we see around us. To make his model work, he (and many other researchers who are exploring this direction) make a calculation of a black hole in 10 dimensions in order to describe difficult (but gravitationally benign) aspects of the strong interaction in 4 dimensions.

No Black Holes Today, Thanks

As George Musser remarked to me in an email,

Egads, what a mispresented story. Nastase says they might be *dual* to black holes -- a relation of interest in string theory, but hardly the same thing as an honest-to-god black hole.

Exactly. The point of Nastase's paper is not that the RHIC fireball may be a black hole but that it might be described by the same math used for black holes. Such duality is vital in modern physics, because some problems are easier to formulate and solve within one mathematical framework rather than another, although both are applicable.

Now, if you want to know about the real prospects for making microscopic black holes by colliding particles in an accelerator, watch for the May issue of Scientific American, which will, by happy coincidence, have a feature on that very subject.

See:

Microstate Blackhole Production

Some Distant Bounding Surface

The Lap Top of the Future?

I think technology is great, and some of the stories we can produce, equally as thought provoking. Ipod's and Mission Impossible?

Oh Clifford, where are you?

While some might of thought the analogy to the "blackgold" as a standard in a economic sense, I still try to think of the "gold reserves" as the true monitor of banks and money printed. Yet, we find that new indicators are setting the price of living, to standards that the few make towards cost of living realizations? US ruin where rerserves, China's gain? A worthy trading partner indeed.

Okay that's to political. On to the essence of the story.:)

My plan is not a incidious one, where I will try and convert you to "evil," but put into perspective the state of affairs. Not concieved to derail geometrical thinking at it's finest, but bring one in concert with the strumming of "good songs" as we ride the "river of life:)" Oh my, I am being bombarded by solitonic images of boats traveling channels, and all sort of things.

Written and directed by Kenneth Alan Taylor


I would rather think of the Goose that laid the Golden Egg, then eggs that could possibly hatch as the dumbest ideas of Rooster's:)

Okay, so I am struggling.

You have to remember the basis of this question is "held in light" of a thought experiment linked at the heading of this post. I know it's possibilties yet containment really makes it difficult to fathom. So I like to think of tall tails and sailing ships as possible stories that were created in fiction, have now made it possible for Jack to bring this Golden Egg, back for consideration. Or maybe the Princess's Pea as a measure of what would have been contained in the singularity, had drawn to delving all minds to consider this nagging question that we tend to sleep on? The "Beginning of the universe?"

Did you know Plato like the "idea of ideas?" While it might made one think of the emphemeral qualities of mind, I know that to be "grounded" would be a good thing, while we look at Jack in the Beanstalk's journey to fetch the Golden Egg.

Anthony A. on Jan 2nd, 2006 at 7:41 pm :

In an infinite universe, there appears to be, as I noted before, some interchangeability between the different branches of the wavefunction and the different copies that exist in the infinite universe. (In fact this is the basis for a new interpretation of quantum mechanics that I have been reading, and got me thinking about the whole matter.)

The thought provoked here, is contained in the structure of this statement, "different branches of the wavefunction" could lead to new quantum reality taken from the artifacts, and released into probable futures? This is a summation of how one might see all that can be contained in the outcome of heads or tails, and from such information, provide for model apprehensions that could have been emitted from the very beginning of this universe? Why not?

We punch in the probability of this reference of quantum perception with cosmological data and if 13.7 billions years could be contained in the model, then what says the limit of this universe could not be contained in what this universe might have become?

The amount of information that can be stored by the ultimate laptop, 10 to the 31st bits, is much higher than the 10 to the 10th bits stored on current laptops. This is because conventional laptops use many degrees of freedom to store a bit whereas the ultimate laptop uses just one. There are considerable advantages to using many degrees of freedom to store information, stability and controllability being perhaps the most important. Indeed, as the above calculation indicates, to take full advantage of the memory space available, the ultimate laptop must turn all its matter into energy. A typical state of the ultimate laptop's memory looks like a plasma at a billion degrees Kelvin — like a thermonuclear explosion or a little piece of the Big Bang! Clearly, packaging issues alone make it unlikely that this limit can be obtained, even setting aside the difficulties of stability and control.

But what's the point here in recognition?

That there are indeed outcomes from thinking of a certain point, could have manifested possibilities. The outcome here is present questions although contained in the article linked in from 2000, it points the mind to direction currently manifesting in our everyday lives, as we move to question the nature and geometry of this beginning of the universe and it's possible branches thereof?

But let's see this in contrast to early computation models. Rooms filled with equippment to have now found such levels atomized to current technological wonders?

Being part of this scenario in our past and witnessing the moves to such lenghts, bring perspectve to the nature of the colliders and the quest for perspctive held in contrast to quantum probabilites. Looking at this bold highlighrted statement of Seth Loyd brings th every nature of what is being pursued asa viable question about what we had hoped to conatin inthe LAPTOP, BUT SEEING THE COMPLEX QUESTION OF CONTAINMENT MAKES THIS QUITE UNLIKELY. It does not remove the question of probable outcomes and th every nature of geoemtries assigned, as this is a leading indicator to values held in contrast to the depth of pereception needed?

Danger, Phil Anderson by Sean Carroll

Looking for such a position, can be a fickled thing, so where would such things lead from a "flat spacetime" to have then gone either way in the speculations of the geometries?

Sorry, a layman dreaming. Is it a philosophical question, that the possibilties could have ever be increased from negative things(geoemtries in expression), heated up, to create new possibitlies?

Principal of Least Action

Edwin F. Taylor

The least-action principle is an assertion about the nature of motion that provides an alternative approach to mechanics completely independent of Newton's laws. Not only does the least-action principle offer a means of formulating classical mechanics that is more flexible and powerful than Newtonian mechanics, [but also] variations on the least-action principle have proved useful in general relativity theory, quantum field theory, and particle physics. As a result, this principle lies at the core of much of contemporary theoretical physics.

Thomas A. Moore "Least-Action Principle" in Macmillan Encyclopedia of Physics, John Rigden, editor, Simon & Schuster Macmillan, 1996, Volume 2, page 840.

PRINCIPLE OF LEAST ACTION INTERACTIVE
Java programming by Slavomir Tuleja
Text by Edwin F. Taylor and Slavomir Tuleja
Draft of March 12, 2003

Here L is called the Lagrangian. In simple cases the Lagrangian is equal to the difference between the kinetic energy T and the potential energy V, that is, L = T – V. In this interactive document we will approximate a continuous worldline with a worldline made of straight connected segments. The computer then multiplies the value of (T – V) on each segment by the time lapse t for that segment and adds up the result for all segments, giving us an approximate value for the action S along the entire worldline. Our task is then to move the connected segments of the worldline so that they result in the minimum total value of the action S.

Harmonic Oscillation

This "math sense" has to become part of one's makeup? An inductive process. Experimentally challenged. Deductive.

If such a idea is held from weak to strong idealizations in terms of comological views, then you get this sense of "energy valuations" as well. If you calculate when the binary pulsar distances around each other, the value of that information has been released in the bulk. This information should become weaker, as the orbits get closer?

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?

Part of the Randall/Sundrum picture Sean supplied of the brane world perspectives needed for how we look at that bulk view. If you are to asume that space is not indeed empty, then what is it filled with? Gravitonic perception would make this idea of the quantum harmonic oscillator intriguing to me in the sense that "zero point", would be flat space time. Any curvature parameters would have indeed signalled simple harmonic initiations?

Omega valutions in regard to the what state the universe is in, would have been defined in relation to a triangulation.

The quantum harmonic oscillator has implications far beyond the simple diatomic molecule. It is the foundation for the understanding of complex modes of vibration in larger molecules, the motion of atoms in a solid lattice, the theory of heat capacity, etc. In real systems, energy spacings are equal only for the lowest levels where the potential is a good approximation of the "mass on a spring" type harmonic potential. The anharmonic terms which appear in the potential for a diatomic molecule are useful for mapping the detailed potential of such systems.

But indeed while we understand this large oscillatory factor in our orbits, does it not make sense to wonder how simple that harmonic oscillator can become when we are looking for extra dimensions?

I had a picture the other day of a music instrument of a wire stretched, and weights being applied respectfully. The string when strummed gave certain frequencies accordingly to different mass valuations. This is the early pythagorean instrument I had see a few years ago, that would have similarities with "gourds of water" as weight and levels changed.



Here we seen a torsion pendulum. The way the wire twists and it's resulting valuation.



So you see how simple experimental processes help to correct our views on the way we see things.

From a historical perspective views of scientists with this explanation support the harmonic oscillators as follows:

Let us see how these great physicists used harmonic oscillators to establish beachheads to new physics.

Albert Einstein used harmonic oscillators to understand specific heats of solids and found that energy levels are quantized. This formed one of the key bridges between classical and quantum mechanics.

Werner Heisenberg and Erwin Schrödinger formulated quantum mechanics. The role of harmonic oscillators in this process is well known.

Paul A. M. Dirac was quite fond of harmonic oscillators. He used oscillator states to construct Fock space. He was the first one to consider harmonic oscillator wave functions normalizable in the time variable. In 1963, Dirac used coupled harmonic oscillators to construct a representation of the O(3,2) de Sitter group which is the basic scientific language for two-mode squeezed states.

Hediki Yukawa was the first one to consider a Lorentz-invariant differential equation, with momentum-dependent solutions which are Lorentz-covariant but not Lorentz-invariant. He proposed harmonic oscillators for relativistic extended particles five years before Hofstadter observed that protons are not point particles in 1955. Some people say he invented a string-model approach to particle physics.

Richard Feynman was also fond of harmonic oscillators. When he gave a talk at the 1970 Washington meeting of the American Physical Society, he stunned the audience by telling us not to use Feynman diagrams, but harmonic oscillators for quantum bound states. This figure illustrates what he said in 1970.

We are still allowed to use Feynman diagrams for running waves. Feynman diagrams applicable to running waves in Einstein's Lorentz-covariant world. Are Feynman's oscillators Lorentz-covariant? Yes in spirit, but there are many technical problems. Then can those problems be fixed. This is the question. You may be interested in reading about this subject: Lorentz group in Feynman's world.

Can harmonic oscillators serve as a bridge between quantum mechanics and special relativity?

Lee Smolin saids no to this?

A Supersymmetrical Valuation of Where things Began

Of course "phase transitions" and "asymmetrical realizations" had to arise from developmental processes in the universe? One had to know, in what sphere such developemental would take place, and if we circumvented all these chinese boxes or Russina dolls to exemplifed allegorical comments about consciousness. It had to follow a Gr perspective, and, a quantum mechanical one? "Topo-sense" as to developing topolgical models within consciousness, as a well as, models in the developing universe as a GR sense? IMagine to then such toposense further develped from theidealizatin of quantum views such physicla actions taken from cosmological proportions and reduced to probability functions entailed in our mental structure, then indeed we had transgressed our limitation to a feeling?:)

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.

Imagine for a moment about that such a "momentus occasion", as well we learn to see the developmental process of circles(orbits) and Mercuries orbital patterns (a daisey) and got this general sense of reduced orbital pattern decay of rotatng binary pulsar systems as revealled by Taylor and Hulse.

We got to know "information release" from the distances involved, and could calculated when they would combined? This is a "prediction then" based on, a viable measure, not only in terms of that distance valuation, but of how we might arrive at it other then in astronmical viewing. What would be revealled in LIGO application?

Atiyah's comments are important here I think.

If theory is the role of the architect, then such beautiful proofs are the role of the craftsman. Of course, as with the great renaissance artists, such roles are not mutually exclusive. A great cathedral has both structural impressiveness and delicate detail. A great mathematical theory should similarly be beautiful on both large and small scales.

Assymetrical views would have revealled mandalic interpretations very distinctive of conscious awareness, and unfoldment in design. This had to have a geometric and foundational perspective that arose from the expansitory valution of brane world idealizations? As well as, the deeper recesses of our own minds?

Finally, we also hope that this series furthers the discussion regarding the nature and function of 'the mandala'. In the spiritual traditions from which Jung borrowed the term, it is not the SYMMETRY of mandalas that is all-important, as Jung later led us to believe. It is their capacity to reveal the asymmetry that resides at the very heart of symmetry. By offering a new view about how consciousness itself is structured - in a fundamentally paradoxical fashion - and how these structurings are reflected in principles according to which the mandala is organized, we are able in this series to show how personality itself may be thought of as having an essentially 'liminocentric' design.

One had to be able to recognize this "model apprehension" and speak to it directly in experience. I could do that because of my explorations. Am I adapting to new methods of model developements? For sure. :)



"Luminousity" as enlightenment could possibly help push back the veil, if we could probably do this?

Observatories

What is Sun-Earth Day?

As I was reading Cliffords newest entry on Cosmic Variance site, his trip reminded me of the hike we took to see the Big Horn Medicine Wheel.

Now what is interesting about this is I am not one who has had much association with such places of observatories, but far up to the left of this wheel is one that seems very out of place.

Ironic in the sense that ole history about these "Medicine Wheels" could have brought such historical perspective to the science. Look at the universe, from a place where ancient artifacts gathered.

At the center of the wheel there is a raised central cairn, and several others on the periphery of the wheel. These have been alleged to have astronomical alignments. Astronomer John Eddy suggested that a line drawn between the central cairn and an outlying cairn at the Bighorn Medicine Wheel pointed to within 1/3 of a degree of the rising point of the sun at the summer solstice. The actual astronomical purpose of the design of these wheels remains controversial. The design may also have assisted in the performance of specific rituals and ceremonies that have been lost to us. The 28 spokes could indicate the lunar month, or the length of the female menstrual cycle.

But I am not going to join the speculative feature of this wonderment, but to bring forward the understanding that mountains that may look the same, may have other reasons like it does for Clifford and his views of home. That for him to look, and have something nagged his "observatory mind" would have been as simple as "cheez, it looks like home."

Well from a more suttle place, I bring forward the understanding that our perspective about cosmology, our understanding of the uniqueness of Omega? The implications of General Relativity, and how Alexanders Firedmann's eqaution is part and parcel of the understandng of a geometry. That helps lead the mind into the ability to see dynamicals of this universe. How would your obervation have changed with such paradigmal changes. In Toposense, is speak to that as well as relate that General Realtivity had it's saem consequence. Ask Sean about that one?

Now we engage the spacetime fabric. This dynamcial abiltiy would not be seen before without this geometrical prospensity. So having been taken over by paradigmal change, the visionistic approach is one based on geometrical design, where the uniqueness of such correlations in the views of where nature resides. Brings one closer to the very spots we call "home". This is a real place for clifford, and yet without inducing such mysticism, this is also a place I draw from.

Now you say this guy is nuts. But imagine the science that leads one to see such topolgical realizations would take cosmological priciples about this epxanding universe and find that in a Genus example of the spherical WMAP of creation, there are abilities of this universe to become, well, lets say like images of marbles on rubber sheets, and how did such isolated cases exist within the greater potential of this universe to unfold and one is lead to portions of objective collapses that help to bring a greater dynamcial view about this same cosmos.

What makes this different is I relate topo-sense as a real part of paradigmal change.

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 encourage such changes when we learn( or are really a result of such learning). Who could not get this sense from, Mercuries Daisey, or Hulse and Taylor Binary star rotations that release "gravitation waves" that give us information about how close they are becoming. What's it's predictve date about coming together?

While I relate Mecuries orbital patterns, such sense is not limited to here. Other idealizations as well, that we might wonder indeed how vast this landcape idea, when you consider the >Lagrange points?:)

Could "Chaos" have been Implied in the Quantum Harmonic Oscillator, as Supersymmetry?

See:Quantum Harmonic Oscillators


Fortunately being the junior here in knowledge comprehension, the benefits, as of my having wrongly thought a certain way, allows "fantasy a great journey." I have wondered, could I have ever attained such insights that would awaken even the most determined individual to the quest of, to finally rest easy and a warm satisfaction?

Let's hold the Trigger in suspension. What is it's potential, had such symmetrical realizations made the axis of this process move according to some plan not seen? Are There methods seen in the matrices, that revolve around this "i" that woud have given the photon dispersement some relevance to a interactive phase within context? How about gluon perceptions? Tipler's lightcones also comes to mind here, as such a process?

I am so afraid to trip on my tongue, that such words listed, would have provided the necessary crackpot label. I wondered whether I should continue. But a motivation is borne of it's own accord, I couldn't help see some relevance to the "uncertainty in langrange points."

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.

Could have exemplified such unequilibrium, that at first, it made no sense to me that such points could have ever accomplished anything. Was there a lesson from lorentz and his model butterfly that such models had found the transfer from one state to another, could reveal such supersymmetrical acts of consideration in having found the anti- anything, and soon learnt, that it was the other side of the equation? The 720 degree turn, that brought the history of this action into a complete whole, and accord.



I would like to say this is nice to see that Lee Smolin has taken the time to help set things straight. This caught my eye.

This is linked to a Post written by Peter Woit called, " Why No New "Einstein"?

Lee Smolin:

6) With regard to the non-standard quantization, in which holonomies, but not local field operators are well defined, it is of course true that when applied to standard systems this leads to inequivalent results. “This apparently leads to unphysical consequences, such as an unbounded spectrum for the harmonic oscillator.” But, give me a break, do you really think someone is proposing to replace the standard quantization of the harmonic oscillator with the alternative one? What is being proposed is that the quantization used in LQG is well suited to the quantization of diffeo invariant gauge theories.

In case it is not obvious, let me emphasize that harmonic oscillators are not relevent here, and can play no role in a background independent quantum theory, precisely because the division of a field into harmonic modes requires a fixed background metric. Thus, the physics of the problem REQUIRES an alternative quantization.

I have to read things over quite a few times before it seems to sink in, but reference to three sphere and the understanding of Poincare's model did not reduce my interest in seeing such correlations in how we saw such langrange points develope into this suspended state for the trigger to make itself known?

Many physicists find extra dimensions a distasteful notion. In remarks to an American Physical Society newsletter, physicist Frank Wilczek of MIT called the black hole study a sound way to test an unattractive idea.

"There's no question that the Auger observatory will be sensitive to this signal, if it exists," says Penn State's Stéphane Coutu, a member of the international Auger Observatory team. "We'll definitely look."

All of us are on the same wavelenght right? Blackhole determinations, set the stage, for what we hope to percieve is, "the basis of this trigger?"

How wonderful this rubber band that is slipped over the sphere, and as it expands from this point, "the loop" now becomes a exemplifier of all those things manifested from the spherical gaze of the harmonics?

What image is given from the blackhole to realize, that the gravitonic messager sent from the daisy of Taylor, would have found the penduluminaric thoughts in Greg's Egans's "animations of Lissajous" and a coordinated frame?

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?

Without Gravitational Waves, Spacetime is Flat?

I know it is very difficult for some people to understand this translation to harmonical expressions(any horizon and what is to lie beyond?) and the way in which we would percieve this dynamcial nature, using the expressions of non-Euclidean geometries?



We understood this creation of positive and negtaive in context of each other did we?

Riemannian Geometry, also known as elliptical geometry, is the geometry of the surface of a sphere. It replaces Euclid's Parallel Postulate with, "Through any point in the plane, there exists no line parallel to a given line." A line in this geometry is a great circle. The sum of the angles of a triangle in Riemannian Geometry is > 180°.



It is a strange thing to wonder how the heck one get's to translating harmonical oscillations in context of what we see expounded by Taylor and Hulse. To understand that at some point, the rotation around each other in distance, will decrease in time, and the oscillations will increase? What does this signal?:)



You do not discard thnking about the cosmological nature, methods, that have been used to orientate the world view in such a way, where all of a sudden the complexity of this dynamical nature has moved your thinking to strength and weakness of those same gravitational wave explanations.

Working closely with the experimental group, we use astrophysical, particle physics and superstring theory combined with observations to study gravitation and the origin and evolution of our universe.

The beautiful consistency of the cosmological tests with the Lambda CDM theory for structure formation maybe is particularly impressive to me because I spent so much of the last 15 years studying alternatives; you can trace through astro-ph my history of proposals that were viable when submitted but soon ruled out by advances in measurements of the angular distribution of the 3K thermal background radiation. But the constraints from the cosmological tests are not yet much more numerous than the assumptions in Lambda CDM and related models; it's too soon to declare closure of the cosmological tests.