Perfect fluid

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The stress–energy tensor of a perfect fluid contains only the diagonal components.

In physics, a perfect fluid is a fluid that can be completely characterized by its rest frame mass density ${\displaystyle \rho _{m}}$ 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 space-positive metric signature tensor notation, the stress–energy tensor of a perfect fluid can be written in the form

${\displaystyle T^{\mu \nu }=\left(\rho _{m}+{\frac {p}{c^{2}}}\right)\,U^{\mu }U^{\nu }+p\,\eta ^{\mu \nu }\,}$

where U is the 4-velocity vector field of the fluid and where ${\displaystyle \eta _{\mu \nu }=\operatorname {diag} (-1,1,1,1)}$ is the metric tensor of Minkowski spacetime.

In time-positive metric signature tensor notation, the stress–energy tensor of a perfect fluid can be written in the form

${\displaystyle T^{\mu \nu }=\left(\rho _{\text{m}}+{\frac {p}{c^{2}}}\right)\,U^{\mu }U^{\nu }-p\,\eta ^{\mu \nu }\,}$

where U is the 4-velocity of the fluid and where ${\displaystyle \eta _{\mu \nu }=\operatorname {diag} (1,-1,-1,-1)}$ is the metric tensor of Minkowski spacetime.

This takes on a particularly simple form in the rest frame

${\displaystyle \left[{\begin{matrix}\rho _{e}&0&0&0\\0&p&0&0\\0&0&p&0\\0&0&0&p\end{matrix}}\right]}$

where ${\displaystyle \rho _{\text{e}}=\rho _{\text{m}}c^{2}}$ is the energy density and ${\displaystyle p}$ is the pressure of the fluid.

Perfect fluids admit a Lagrangian formulation, which allows the techniques used in field theory, in particular, quantization, to be applied to fluids. This formulation can be generalized, but unfortunately, heat conduction and anisotropic stresses cannot be treated in these generalized formulations.^[why?]

Perfect fluids are used in general relativity to model idealized distributions of matter, such as the interior of a star or an isotropic universe. In the latter case, the equation of state of the perfect fluid may be used in Friedmann–Lemaître–Robertson–Walker equations to describe the evolution of the universe.

In general relativity, the expression for the stress–energy tensor of a perfect fluid is written as

${\displaystyle T^{\mu \nu }=\left(\rho _{m}+{\frac {p}{c^{2}}}\right)\,U^{\mu }U^{\nu }+p\,g^{\mu \nu }\,}$

where U is the 4-velocity vector field of the fluid and where ${\displaystyle g_{\mu \nu }}$ is the metric, written with a space-positive signature.

See also

• Equation of state
• Ideal gas
• Fluid solutions in general relativity
• Potential flow

References

• The Large Scale Structure of Space-Time, by S.W.Hawking and G.F.R.Ellis, Cambridge University Press, 1973. ISBN 0-521-20016-4, ISBN 0-521-09906-4 (pbk.)

External links

• Mark D. Roberts, [A Fluid Generalization of Membranes http://www.arXiv.org/abs/hep-th/0406164 hep-th/0406164].

A New Cosmological View?

Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point of constraint and freedom that is the very essence of human nature.

- Hermann Weyl

Perspective has been push back in a reductionistic sense and understanding in a cosmological sense. The limit to which this process could incorporate a relativistic explanation would have been a glorious one indeed?

Navier-Stokes equations

The Navier-Stokes equations, named after Claude-Louis Navier and George Gabriel Stokes, describe the motion of fluid substances such as liquids and gases. These equations establish that changes in momentum in infinitesimal volumes of fluid are simply the sum of dissipative viscous forces (similar to friction), changes in pressure, gravity, and other forces acting inside the fluid: an application of Newton's second law to fluid.

They are one of the most useful sets of equations because they describe the physics of a large number of phenomena of academic and economic interest. They may be used to model weather, ocean currents, water flow in a pipe, flow around an airfoil (wing), and motion of stars inside a galaxy. As such, these equations in both full and simplified forms, are used in the design of aircraft and cars, the study of blood flow, the design of power stations, the analysis of the effects of pollution, etc. Coupled with Maxwell's equations they can be used to model and study magnetohydrodynamics.

The Navier-Stokes equations are also of great interest in a purely mathematical sense. Somewhat surprisingly, given their wide range of practical uses, mathematicians have yet to prove that in three dimensions solutions always exist (existence), or that if they do exist they do not contain any infinities, singularities or discontinuities (smoothness). These are called the Navier-Stokes existence and smoothness problems. The Clay Mathematics Institute has called this one of the seven most important open problems in mathematics, and offered a $1,000,000 prize for a solution or a counter-example.

So where is that? Where is the "perfect fluid" and what has this to do with the current state of the universe? The "effect of collisions" which produce a Cerenkov effect. Is this a "faster then the speed of light" from such a process being encapsulating in that early universe condition?

As perplexing as this sounds, it sets up the understanding that Super Cosmologists have to think outside the box. If no information is lost, then where did the information come from? There is a topological unfolding here that speak to mathematical designs all the while it integrates the Navier-Stokes equations in terms of it's relativistic explanation, derived from the very moments of that creation?

"Helium-3 experiment replicates colliding-brane theory of cosmology."

So as silly as some would have you believe that new models do not have any chance from a mathematical perspective of having lost touch with reality, is the need to explain the process in terms of natural occurrences that are going on around us, which we were not previously aware of.

Information Scrambled, Yet Reassembled

Brian Greene-

My area of research is superstring theory, a theory that purports to give us a quantum theory of gravity as well as a unified theory of all forces and all matter. As such, superstring theory has the potential to realize Einstein's long sought dream of a single, all encompassing, theory of the universe. One of the strangest features of superstring theory is that it requires the universe to have more than three spatial dimensions. Much of my research has focused on the physical implications and mathematical properties of these extra dimensions --- studies that collectively go under the heading "quantum geometry".

Quantum geometry differs in substantial ways from the classical geometry underlying general relativity. For instance, topology change (the "tearing" of space) is a sensible feature of quantum geometry even though, from a classical perspective, it involves singularities. As another example, two different classical spacetime geometries can give rise to identical physical implications, again at odds with conclusions based on classical general relativity.

Superstring theory is most relevant under extreme physical conditions such as those that existed at the time of the big bang. Recently, we have formed a new institute at Columbia called ISCAP (Institute for Strings, Cosmology, and Astroparticle Physics) dedicated to understanding the interface of superstring theory and cosmology. One primary focus of ISCAP is the search for subtle signatures of string theory that may be imprinted in the precision cosmological data that will be collected through a variety of experiments over the next decade.

In levitation post I try to explain how using Susskind's thought experiment we may derive information about the geometrical conditions being developed from "Bob" entering the blackhole on the back of a elephant.

First let me remind you of where you had been taken in terms of your view of the universe. Had you realized that you are now given a micro perspective on the very nature of this universe? That given the circumstance, the elephant takes on a whole new meaning in terms of searching to understand quantum gravity at a level not considered before.

It was six men of Indostan
To learning much inclined,
Who went to see the Elephant
(Though all of them were blind),
That each by observation
Might satisfy his mind.

The First approached the Elephant,
And happening to fall
Against his broad and sturdy side,
At once began to bawl:
"God bless me! but the Elephant
Is very like a WALL!"


The Second, feeling of the tusk,
Cried, "Ho, what have we here,
So very round and smooth and sharp?
To me 'tis mighty clear
This wonder of an Elephant
Is very like a SPEAR!"

The Third approached the animal,
And happening to take
The squirming trunk within his hands,
Thus boldly up and spake:
"I see," quoth he, "the Elephant
Is very like a SNAKE!"

The Fourth reached out an eager hand,
And felt about the knee
"What most this wondrous beast is like
Is mighty plain," quoth he:
"'Tis clear enough the Elephant
Is very like a TREE!"

The Fifth, who chanced to touch the ear,
Said: "E'en the blindest man
Can tell what this resembles most;
Deny the fact who can,
This marvel of an Elephant
Is very like a FAN!"

The Sixth no sooner had begun
About the beast to grope,
Than seizing on the swinging tail
That fell within his scope,
"I see," quoth he, "the Elephant
Is very like a ROPE!"

And so these men of Indostan
Disputed loud and long,
Each in his own opinion
Exceeding stiff and strong,
Though each was partly in the right,
And all were in the wrong!

So what does Susskind do? You see the very question about interpreting events in this way, ask that we push our perceptive toward topological inferences of continuity? There are no current geometrics that can be explained from inside the blackhole. Pushing perspective needed a method to help us orientate what is happening at that geometrical level.

Quantum Gravity: A physical theory describing the gravitational interactions of matter and energy in which matter and energy are described by quantum theory. In most, but not all, theories of quantum gravity, gravity is also quantized. Since the contemporary theory of gravity, general relativity, describes gravitation as the curvature of spacetime by matter and energy, a quantization of gravity implies some sort of quantization of spacetime itself. Insofar as all extant physical theories rely on a classical spacetime background, this presents profound methodological and ontological challenges for the philosopher and the physicist.

Unfortunately I lost the link to a introduction of a book below yet showed this, to help one define the context of the work that has to be done.

Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.

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.

Status of "Warp Drive"

Time is of your own making;
its clock ticks in your head.
The moment you stop thought
time too stops dead. Angelus Silesius

The plot created here in this post in this fictional sense(?) so that I too may deal with the issues of time travel?

Of course time travel is on my mind for reason that some may not suspect, yet it is with "past history" that we are "embedded with knowledge" from our past attempts. From these, if knowledge is acquired for each soul, then how is it that it sat for for the day to be awaken properly? Where did we begin?

Two main difficulties arise from Plato's view of Transmigration. First, Plato says that we have knowledge of universals because of the experiences of our souls in past lives. However, whence comes the knowledge of the first soul? In purely Platonic theory, it must have had no knowledge at all, and hence Plato's concept of transmigration as the basis for innate knowledge fails. A second difficulty lies in explaining the varying, and especially the apparently increasing number of incarnated souls over history.

So this knowledge is somewhere? Is it as if we move our focus on the Tonal, and we see differently, or, that by profound shifts in our perspective on model apprehension, that we see anew?


Sir Isaac Newton


If we had been changed then, had it been from the Tabula Rusa being blank?

It is as if, "the cosmologist has been detained," bewteen the beginning and end of this universe, yet, shall not ask, "what is it" and, "how did it begin?" That it's very existance it came from nothing, thus, shall never end? How illogical is this?

Plato:One of the things that appeared so strange to me was in how we could look at gravitational variances with scientific means. As we know now, this is being accomplished in ways that test the minds imagination, as to how we would apply these features here to earth, and beyond. Timespeak

How "warped the mind then," to create such a controversy. Use this to exemplify a point about creativity? Have I some how degraded "the wording" to show that "what is possssible" is indeed the imaginary mind that likes to play tricks, whilst it developes this whole new train of thought? Simultaneity?


Francis Bacon (1561 - 1626)

Sir William Shakespeare


Sir Francis Bacon, disguised by "Shakespearean thought," was just an actor of "creativity," portraying a role of a political man? Yet, the thoughts extended, as if this man was in another place and time? Is it that easy? This story true?

Plato:Creativity? Ways in which we allow "information" to travel through? Play the game? Allow "ingenuity" as the "poetic river that flows" to the surface on you, from everything, or, the blank slate?

Is it useless knowledge then or that science requires this blank slate to allow us to deliver on the basis of science? Each starting position, that we write clearly and hence know that from that time forward, what is being built upon?

Time travel

Plato:Thus the initial idea here to follow is that the process had to have a physics relation. This is based on the understanding of anti-particle/particle, and what becomes evident in the cosmos as a closed loop process. Any variation within this context, is the idea of "blackhole anti-particle expression" based on what can be seen at the horizon?Tunneling in Faster then Light

Warp Drives", "Hyperspace Drives", or any other term for Faster-than-light travel is at the level of speculation, with some facets edging into the realm of science. We are at the point where we know what we do know and know what we don’t, but do not know for sure if faster than light travel is possible.

The bad news is that the bulk of scientific knowledge that we have accumulated to date concludes that faster than light travel is impossible. This is an artifact of Einstein’s Special Theory of Relativity. Yes, there are some other perspectives; tachyons, wormholes, inflationary universe, spacetime warping, quantum paradoxes...ideas that are in credible scientific literature, but it is still too soon to know if such ideas are viable.

One of the issues that is evoked by any faster-than-light transport is time paradoxes: causality violations and implications of time travel. As if the faster than light issue wasn’t tough enough, it is possible to construct elaborate scenarios where faster-than-light travel results in time travel. Time travel is considered far more impossible than light travel.

So previous(Tunneling in Faster than Light) to this post, I tried to show where my thinking was currently held in regards to anti-particle/particle, as examples of what is happening in LHC.

Also, I cleared the air of what was held in mind in terms of the Cerenkov radiation transported ahead of, in faster then light medium capabilities as the blue light. This does not remove my speculations in terms of what is happening in probing the "perfect fluid" and the dissipative effect of microstate blackhole creation. What happens in that moment of high energy collision processes.

Result of Effective Changes in the Cosmos

"There comes a time when the mind takes a higher plane of knowledge but can never prove how it got there. All great discoveries have involved such a leap. The important thing is not to stop questioning." Albert Einstein (1879- 1955)

But the presence of an event horizon implies a finite Hawking temperature and the conditions for defining the S Matrix cannot be fulfilled. This lack of an S Matrix is a formal mathematical problem not only in string theory but also in particle theories.

One recent attempt to address this problem invokes quantum geometry and a varying speed of light. This remains, as they say, an active area of research. But most experts doubt that anything so radical is required.

What processes would allow you to see "faster then light entities" being shown as examples of that "cross over point?" That's part of the fun isn't it when you realize what some experiments are actually checking for? :)



So yes of course, you might think about "Cerenkov radiation" and from this, what is happening in today's world, that allows us lay people, never having seen or understood, but may now do so?

SNO

The Sudbury Neutrino Observatory is a collaborative effort among physicists from Canada, the U.K., and the U.S. Using 1,000 tons of so-called heavy water and almost 10,000 photon detectors, they measure the flux, energy, and direction of solar neutrinos, which originate in the sun. SNO, located 6,800 feet underground in an active Ontario nickel mine, can also detect the other two types of neutrinos, muon neutrinos and tau neutrinos. In 2001, just two years after the observatory opened, physicists at SNO solved the 30-year-old mystery of the "missing solar neutrinos." They found that the answer lies not with the sun—where many physicists had suspected that solar neutrinos undergo changes—but with the journey they take from the core of the sun to the Earth.

In the previous article I mention the "cross over point in LHC" and from this, the idea was born in mind, how the universe and the effectives rates of expansion could take place?



While it is a long shot, I thought since of layman status, what could it hurt but to speculate and see what thoughts further arise from this. Like any model perspective adopted, allows new thinking to emerge, where previously, none existed for me. So one tends to try and go with the flow and see where it ends up. At least that's what I do and now, others do too?


Blackhole Production in the Cosmos

Increase, in high energy collisions taking place, allows speed up of inflation?



So here is the jest of what allowed me to say that the effective rates of exchange in the cosmos had to have the physics related to show the reasons why the effective speed up of inflation has been detected.


Adapted from Dienes et al., Nuclear Physics B

Some theorists envision the universe as multidimensional space-time embedding a membranous entity, called a brane, also of multiple dimensions. Diagram depicts familiar 3-dimensional space (time not shown) as a vertical line. At every point along line, one extra dimension curls around with a radius (r) of no more that about 10–19 meter. Perpendicular to every point of the brane extends the bulk, another extra dimension.

Also I will give the idea of "photo/graviton association" and how "graviton in a can" allows perspective about the "effective field variations" that "may be" predicted in the vacuum as it produces new physics to emerge on the other side? Quite a mouthful I know.


The graviton is the quantum force carrier of gravity. In conventional quantum field theory, graviton processes with loops do not make sense because of incurable divergencies.

The idea then here is to understand the graviton production in particle collisions here produce some interesting "phenomena" as we see faster then light entities move beyond the confines of that "graviton in a can." So you get the jest then, that even if the boundary conditions are experimentally being tested here, the production of gravitons is very high.

So what allows faster then light entities to move beyond these confines if you did not understand the connection to the "perfect fluid" and the anomalistic nature this perfect fluid has for allowing such traversing beyond the standard model?

That's not all. The fact that space-time itself is accelerating - that is, the expansion of the universe is speeding up - also creates a horizon. Just as we could learn that an elephant lurked inside a black hole by decoding the Hawking radiation, perhaps we might learn what's beyond our cosmic horizon by decoding its emissions. How? According to Susskind, the cosmic microwave background that surrounds us might be even more important than we think. Cosmologists study this radiation because its variations tell us about the infant moments of time, but Susskind speculates that it could be a kind of Hawking radiation coming from our universe's edge. If that's the case, it might tell us something about the elephants on the other side of the universe.

Graviton in a Can?

After you consume "graviton in a can," you might never be the same? Brane thinking may then dominate your every view of the world. Then, it will all make sense?

Imagine while we peer deeper into the subject of the "perfect fluid/soup" we find that certain aspects of the reductionist work done, has indeed lead us to speculate on how the "new physics" formed through the research and understanding currently being worked in the LHC?

Is there some architectural design to the "Degree's of Freedom?" Why anything more then the spacetime we have come to recognize, which placed new parameters on our thinking? Moved it from the recogition of Maxwellian and Gaussian coordinates to Riemann geometries in the theory of General Relativity, to become known, as the Theory of gravity. Why "anything" more then that?


A picture of flux lines in QED (left) and QCD (right).

Although it didn't properly describe strong interactions, in studying string theory physicists stumbled upon an amazing mathematical structure. String theory has turned out to be far richer than people originally anticipated. For example, people found that a certain vibrational state of the string has zero mass and spin 2. According to Einstein's theory of gravity, the gravitational force is mediated by a particle with zero mass and spin 2. So string theory is, among many other things, a theory of gravity!

I mean how are such abstract notions in the mathematics supposed to make sense, if we can not see the logic of these formulations working in some kind of reality frame of reference?


by Jacob D. Bekenstein

TWO UNIVERSES of different dimension and obeying disparate physical laws are rendered completely equivalent by the holographic principle. Theorists have demonstrated this principle mathematically for a specific type of five-dimensional spacetime ("anti–de Sitter") and its four-dimensional boundary. In effect, the 5-D universe is recorded like a hologram on the 4-D surface at its periphery. Superstring theory rules in the 5-D spacetime, but a so-called conformal field theory of point particles operates on the 4-D hologram. A black hole in the 5-D spacetime is equivalent to hot radiation on the hologram--for example, the hole and the radiation have the same entropy even though the physical origin of the entropy is completely different for each case. Although these two descriptions of the universe seem utterly unalike, no experiment could distinguish between them, even in principle.

So we have these diagrams and thought processes developed from individuals like Jacob D. Bekenstein to help us visualize what is taking place. Gives us key indicators of the valuation needed, in order to determine what maths are going to be used? In this case the subject of Conformal Filed Theory makes itself known, for the thought process to hone in on what is going to be spoken too?

Holography encodes the information in a region of space onto a surface one dimension lower. It sees to be the property of gravity, as is shown by the fact that the area of th event horizon measures the number of internal states of a blackhole, holography would be a one-to-one correspondence between states in our four dimensional world and states in higher dimensions. From a positivist viewpoint, one cannot distinguish which description is more fundamental.Pg 198, The Universe in Nutshell, by Stephen Hawking

So we are given the label in which to speak about the holographical ntions of what is being talked about in the case of the blackhole's horizon.


Campbell's Soup Can by Andy Warhol Exhibited in New York (USA), Leo Castelli Gallery

While it is difficult of such images to be found displayed in the bloggery here to show what Dr. Gary Horowitz is saying you get the jest when you go right to the image of the tomato soup can.

Spacetime in String Theory-Dr. Gary Horowitz, UCSB-Apr 20, 2005

This year marks the hundredth anniversary of Einstein's "miraculous year", 1905, when he formulated special relativity, and explained the origin of the black body spectrum and Brownian motion. In honor of this occasion, I will describe the modern view of spacetime. After reviewing the properties of spacetime in general relativity, I will provide an overview of the nature of spacetime emerging from string theory. This is radically different from relativity. At a perturbative level, the spacetime metric appears as ``coupling constants" in a two-dimensional quantum field theory. Nonperturbatively (with certain boundary conditions), spacetime is not fundamental but must be reconstructed from a holographic, dual theory. I will conclude with some recent ideas about the big bang arising from string theory.

Imagine containing everything we know in this can. Yet,we find that the "soup image" has somehow been translated to other factors and values that seem beyond what we know is real. Is real within the confines and boundaries, and is not evidence of the "infinities" that arise from such non containment?

So, what of the "dilation field" that accumulates, as we speak to what the photon is in the measure of Glast. High energy photon determinations that may also be the valuation of the graviton in expression, as the photon travels through these fields?

Such unification is important once we move into the bulk perspective and what we see of the 2d image of the brane, as a value, and discernation of the label of the soup can?


The ALICE TPC in its clean room, where it is undergoing commissioning of all its sectors.

One of the first cosmic-ray events recorded and reconstructed in two sectors of the TPC.

The tests use the ALICE cosmic muon trigger detector ACORDE, as well as a specially designed UV laser system, to produce tracks in the detector. Preliminary analysis of the cosmic-ray events and the laser-induced tracks indicate that the drift velocity and diffusion of electrons liberated by traversing charged particles, as well as the spatial resolution, are very close to the design values.

So here we are then, having graduated in perspective about what is real, as one may ask the sociological aspect of this whole adventure?



If such missing energy is, "not accounted for" then what happens to the graviton as it is produced and causes energy to travel with them?

For example, people found that a certain vibrational state of the string has zero mass and spin 2. According to Einstein's theory of gravity, the gravitational force is mediated by a particle with zero mass and spin 2. So string theory is, among many other things, a theory of gravity!

Probing the Perfect Liquid

If you learn to understand the relationship between QGP and the physics underlying hydrodynamic flows then what leads one to believe that the blackholes cannot also create the circumstances, for the process you may observe in the cosmos, "is" directly related to the effects of the "relativistic nature" of flows?

There is no further need from this point to refer to the big bang as a collision process. Focus on the energy and how cosmologically the QGP was gotten too, in a cosmological sense.

And that out of such issuances, "new particle creations" are ignited in possible new universes/physics?

While some like chocolate bars and the bubble nature of candy, some also like the molasses and ice cream? :)

Our work is about comparing the data we collect in the STAR detector with modern calculations, so that we can write down equations on paper that exactly describe how the quark-gluon plasma behaves," says Jerome Lauret from Brookhaven National Laboratory. "One of the most important assumptions we've made is that, for very intense collisions, the quark-gluon plasma behaves according to hydrodynamic calculations in which the matter is like a liquid that flows with no viscosity whatsoever."

Proving that under certain conditions the quark-gluon plasma behaves according to such calculations is an exciting discovery for physicists, as it brings them a little closer to understanding how matter behaves at very small scales. But the challenge remains to determine the properties of the plasma under other conditions.

"We want to measure when the quark-gluon plasma behaves like a perfect fluid with zero viscosity, and when it doesn't," says Lauret. "When it doesn't match our calculations, what parameters do we have to change? If we can put everything together, we might have a model that reproduces everything we see in our detector."

See:

Clifford and The Singularity

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

See:

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

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

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

Anyway onward here.

Clifford:

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

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

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

Lubos Motl:

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

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

Not Newtonian

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

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

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

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

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

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

Here's what I write:

Plato:

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

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

Strominger:

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

GRand Quantum Conjecture

My continued looked into the "fluids dynamics" had me wonder about the superfluid anomalies. How would the "sphere look" if it collapsed and allowed information to travel through it, based on what has been given here for perspective, when the "state of equillibrum" is arrived at?

In regards to 3, let's just say the assumption is from a theoretcial standpoint, that microstate blackholes "are created." They are created in "cosmic particle collisions" as well?

This is the premise from which I work, and how I gave "how particles are created," a beginning(dimensional referencing), and a basis from which all science becomes "evidentary" in the particle creations.

Exotic physics finds black holes could be most 'perfect,' low-viscosity fluidVince Stricherz, University of Washington

Son and two colleagues used a string theory method called the gauge/gravity duality to determine that a black hole in 10 dimensions -- or the holographic image of a black hole, a quark-gluon plasma, in three spatial dimensions -- behaves as if it has a viscosity near zero, the lowest yet measured.

It is easy to see the difference in viscosity between a jar of honey or molasses at room temperature and a glass of water. The honey is much thicker and more viscous, and it pours very slowly compared with the water.

Using string theory as a measuring tool, Son and colleagues Pavlo Kovtun of the University of California, Santa Barbara, and Andrei Starinets of the Perimeter Institute for Theoretical Physics in Waterloo, Ontario, have found that water is 400 times more viscous than black hole fluid having the same number of particles per cubic inch.

Your points in conclusion,I, II, III

I-yes
II-yes
III- from my conclusions as well.

Again in above quote, I am defining the leading perspective on blackholes as they are being theoretically defined now, and will be subject to experimentation soon?:)

Now again "backreaction in the laval nozzle" is up for inspection here as we delve deeper into the nature of the blackhole.

Nature in Analog Models

Analogue models of (and for) gravity have a long and distinguished history dating back to the earliest years of general relativity. In this review article we will discuss the history, aims, results, and future prospects for the various analogue models. We start the discussion by presenting a particularly simple example of an analogue model, before exploring the rich history and complex tapestry of models discussed in the literature. The last decade in particular has seen a remarkable and sustained development of analogue gravity ideas, leading to some hundreds of published articles, a workshop, two books, and this review article. Future prospects for the analogue gravity programme also look promising, both on the experimental front (where technology is rapidly advancing) and on the theoretical front (where variants of analogue models can be used as a springboard for radical attacks on the problem of quantum gravity).

"Analogistical behaviors" help to push perspective, where before, our theoretical explorations had ran dry?

Q:

These wormhole like 'blackholes' do not lead to other pocket universes, unless we choose to call another sector of space a pocket universe, like Europeans first called the land across the Atlantic the 'New World' or Australia 'Another World' yet still clearly part of this World we call Planet Earth.

If we are to think that the overall context can be apllied to this universe, then such evidence "should be obtainable" as to the nature of such a beginning? But even still, to your point and aspect within this universe, we are looking for accontable methods to such dark energy creation?

Plato:

Every picture held in mind is a link to other pictures

Each event in regards to gravitational collapse would be indicative of what can be "put back into this universe" and sustain it?

Lubos Motl:

The mechanism behind sonoluminiscence remains a bit controversial. Claiming that a thermonuclear fusion occurs during sonoluminiscence is among the more conservative explanations. The physicist Claudia Eberlein argued that the correct explanation is that the imploding bubbles create sonic black holes and the flashes are the counterpart of Hawking radiation as the sonic black hole evaporates. You should not think that this is an example of a very, very low energy quantum gravity because the sonic black holes have no connection with the scales of gravity. It is not a supercollider in a glass of beer. But let me admit that as an undergrad, I was excited by this proposal, at least for a few minutes, but I apparently forgot the details of that encounter.

So by developing this picture of the "bubble collapse in sonofusion", and let's forget about the energy produced from such bubbles and focus on the geometrics of such a collapse. That's my point.

Lubos Motl:

Janice Granhardt has pointed out a press release that is two days old and arguably much more serious and potentially far-reaching than the news about "sonofusion" we described yesterday.

That is part of my conjecture as well as the "unification factor" in my GRand Quantum perceptions.:)That if you remember Kip thorne's plate 27 you will understand that information from the collapse had to be sent over a great distance for us to make sense of the geometrical dynamics that are unfolding from that time and place.

So you look for the gravitational waves that Webber initiated, and Kip Thorne encouraged in our measures of what is actually being transmitted. Kip Thorne is the father of the LIGO program?

You must remember gravitational waves have not yet been verified, yet the theory of GR implicitly tells and is about gravity. It was thus taken further in my conclusions having understood that the creation of this infomration would allow one someday "to map" this very collapse in terms of the gravitonic information left in the bulk?

This is "Dimensional orientated" from a beginning(11dimensional view?), from which evidence is "the 3+1."

That's outside the box thinking? :)Cosmologists work "inside," as Clifford of Cosmic Variance once said?

How then is such a gravitational heat generated from the boundary conditions(blackhole), which grows ever smaller in that collapse, and our energy valuations go higher to supersymmetical realizations? The present volume calculated in the extension of our universe would have to be in concert with the volume before such a collapse was to be expected?

This "total energy value," assuming the universe is flat teeter's on the brink of ?:)

Total dark energy would have to account for this and supernova events contributing as well as, particle collisions that go on all the time?

So if space is not really empty, then what is it supposed to be filled with? Quantum harmonic oscillator and zeropoint?

See:

Charlatan's Who Use Graviton

Continuing with the Foundation

An important thing to remember is, a House Will Become the Home. There are many things that will go into our homes? In the dream world, this home, will become the backdrop for all the things you will measure in life?

If you thought the highest ideals in life might have been expressed, where shall you do this? One place I know, is underneath the peak of the roof. How about you? YOur living room? Your kitchen and the health with which you will engage life?

But still we are along way off to concretizing "this model" in your mind. There is much work to do and a full day ahead.

"Geometry" is Measuring the Earth

There is a great appreciation to the developer of this site who has helped me see where such measure and evolution, is important, as to what constitutes the house. What goes into it.

How did human beings come to use mathematics to describe the world around them? One of the early motivators for humans to perfect a language for communicating about the world in terms of numbers came from the need to measure the Earth. People were learning to build large temples and cultivate large fields. These people had spiritual and practical needs for understanding how to measure and describe the space around them.

As I mentioned earlier, the frame of reference is very important. Here the earth is the foundational aspect we are working with, yet the point within space that we are using had to be level, so shooting for that within the space provided between earth and the height with which we will move our foundation walls, is critical to levelnesss and 90 degree angles, as well as, making sure the pythagorean angles on the ground are square too to our "two dimensional" planning.

Blog Pictures

There must be a limit to the number of pictures that I can upload to this the blog posting, as it will not allow other images that I wish to convey, alongside of this construction that is going on. So I guess I have to link now within context of this posting originally developed?

I should say "Ourhomeconstruction images" refer to my daughter-in-law and son's house. I am the "humble servant" in this adventure of theirs.

The footing size here was sixteen inches wide and approximately eight inches deep. This depth varance chanegs of course with the earth, so it was extremely important that we get our level height, while such distances inside the footings, maintain the level in space that we had shot previously.

It has been ten days since my son and I have started. I wanted to show some of the pictures that he had been taking as we have progressed.

In those footings and in the foundation walls we placed rebar which will make then much sturdier to the pressures of earth against them, as well as the backfill that will go on. In the design of this home two extra inner walls were placed to help to make sure any settling that does occur in new homes, does not happen here.



There are reasons for this, and in my son's case because of the type of heating system that he will be using, I think this a good idea too. INstead of the standard forced air which occurs lots in this location of the country, he will be using a radiant heat from the floor system, with piping being cemented, on both floors. This is a much cleaner way in which to heat one's home and add cooling to the house in the summer. The heating tubes will have fluid pumped through them from a "on demand boiler" that wil heat the floor section accordingly.

It helps sometimes to record the evolution of the process so that one does not forget.

There are a lot of things my son had to do in order to make sure that we were consistent with our measures and that these were maintained.

The one wall within these froms "is movable" so that when the concrete fills, it pushes it out to the full width of eight inches in this case, butting up quite tight to the ties that go throughh these foundation walls.



So having the footings in place we are and have moved on too, the foundation walls. Today the concrete was poured for the foundation walls. That took us about three days to put up. With help from people we were able to make this transition fairly quickly from the daughter-in-law help to screw in wood crossties to hold the footing the distance of 16 inches, to my wife backfilling the edges of the footing, to help hold the concrete boards in place.

While we work in coordinated frame of reference, GR is "a result" having descended to the four dimensions perspective from a fifth dimensional view? That is what Heightened perception is?

Fifth dimension (Wikipedia June 27 2006)


I placed the following picture to be consistent with the end of this blog entry and of course to align the article within the appropriate pages.

Editing, for appearance I guess.

M.C. Escher's work and the Official Site



My son used two by six in this operation and the distances to the ground required more earth backfill then others. Overall, I think 2x8 would have been sufficient.

So tomorrow begins the stripping down of everything we put up to support the foundation, and foundation walls.

Omar Khayyám the mathematician (6 april 2006 Wikipedia)

He was famous during his lifetime as a mathematician, well known for inventing the method of solving cubic equations by intersecting a parabola with a circle. Although his approach at achieving this had earlier been attempted by Menaechmus and others, Khayyám provided a generalization extending it to all cubics. In addition he discovered the binomial expansion, and authored criticisms of Euclid's theories of parallels which made their way to England, where they contributed to the eventual development of non-Euclidean geometry.

I will again fast forward here, to the perspective of "hyperbolic geometry," so people understand that leading from Euclidean perspective, there are results to seeing GR on a cosmological level in it's culmination, from parallel lines, to non-euclidean perspectives.

While my son stands on a mound of dirt, his heightened peception(the ascension to non-euclidean realm) and what is taking place in his mind, goes beyond the frames of refeences we use, yet, they are coordinated within them. Still the dynamcial nature of what constitutes that house, moves within those frames of reference in dynamical ways. Hallways become the transiton betwen the deeper levels of seeing? The changes within the house and it's rooms?

What they did not understand is that moving GR down to the quantum level is the insight with which the new direction of theoretics and physics needed to go. So developing consistancy with Quantum perspective was necessary and within this home, dynamical qualities existed, that move within these frames of reference. Yet, Gr does not work well on the quantum level, so how did such unification take place?