2013 Holographic Duality Findings

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Royal
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2013 Holographic Duality Findings

Post by Royal » Tue Jul 30, 2013 9:48 pm

2013 Holographic Duality Findings Transcends Philosophy and Metaphysics

A few weeks ago, I read a Wired Magazine article titled "‘Holographic Duality’ Hints at Hidden Subatomic World". Amazed at the findings of the scientists, I aimed to do the following: 1) Remember this breakthrough by explaining it in my own words and breaking it down bit by bit. 2) Find a way to explain the article to friends and family.

It was after reading a post by Cogburn concerning Quantum Aether Dynamics (QUD) theory that reignited my interest in this subject and I decided to post the article along with my explanatory commentary as evidence for such theories attempting to explain the immeasurable forces (until now) of the Universe.

Let me know of any suggestions or corrections that can be made to the post.

‘Holographic Duality’ Hints at Hidden Subatomic World
Article: http://www.wired.com/wiredscience/2013/ ... world/all/

According to modern quantum theory, energy fields permeate the universe, and flurries of energy in these fields, called “particles” when they are pointlike and “waves” when they are diffuse, serve as the building blocks of matter and forces.

But new findings suggest this wave-particle picture offers only a superficial view of nature’s constituents.
Many stories have focused on the double slit experiment to demonstrate the effect of an observer. This observer effect is not explained by modern quantum theories, which this articles calls the "superficial view". More on the double slit experiment below.
The double-slit experiment, sometimes called Young's experiment (after Young's interference experiment), is a demonstration that matter and energy can display characteristics of both waves and particles, and demonstrates the fundamentally probabilistic nature of quantum mechanical phenomena.

In the basic version of this experiment, a coherent light source such as a laser beam illuminates a plate pierced by two parallel slits, and the light passing through the slits is observed on a screen behind the plate. The wave nature of light causes the light waves passing through the two slits to interfere, producing bright and dark bands on the screen—a result that would not be expected if light consisted strictly of particles. However, the light is always found to be absorbed at the screen at discrete points, as individual particles (not waves), the interference pattern appearing via the varying density of these particle hits on the screen.[1][2] This result establishes the principle known as wave–particle duality. Furthermore, versions of the experiment that include particle detectors at the slits find that each bit of light passes through one or the other slit (as particles would), but not through both (as waves would). Other particles such as electrons are found to exhibit the same behavior when fired toward a double slit.

Additionally, the detection of individual particles is observed to be inherently probabilistic, which is inexplicable using classical mechanics.
If each energy field pervading space is thought of as the surface of a pond, and waves and particles are the turbulence on that surface, then the new evidence strengthens the argument that a vibrant, hidden world lies beneath.
Assumes that particles and waves (vibration) we see as people, places, and things contain an underlying hidden force.
For decades, the surface-level description of the subatomic world has been sufficient to make accurate calculations about most physical phenomena. But recently, a strange class of matter that defies description by known quantum mechanical methods has drawn physicists into the depths below.
Simplified as: A new class of matter defies modern quantum theories.
“I’ve grown up as a physicist just living on that flatland, that 2-D space,” said Subir Sachdev, a physics professor at Harvard University who studies these strange forms of matter. Now, there is a whole new dimension to explore, he said, and “you can think of the particles as just ending on that surface.”
(Continued)

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Royal
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Re: 2013 Holographic Duality Findings

Post by Royal » Tue Jul 30, 2013 9:52 pm

Of all the strange forms of matter, cuprates — copper-containing metals that exhibit a property called high-temperature superconductivity — may be the strangest. In new research published online June 24 in the Journal of High Energy Physics, physicists at the University of California-Santa Barbara have explored the deeper phenomena that they claim are connected to the perplexing “surface-level” behavior of cuprates. By focusing their calculations on that underlying environment, the researchers derived a formula for the conductivity of cuprates that was previously known only from experiments.
High Temperature Superconductivity- are materials that behave as superconductors at unusually high temperatures.
The structure of high-Tc copper oxide or cuprate superconductors [19] are often closely related to perovskite structure, and the structure of these compounds has been described as a distorted, oxygen deficient multi-layered perovskite structure. One of the properties of the crystal structure of oxide superconductors is an alternating multi-layer of CuO2 planes with superconductivity taking place between these layers. The more layers of CuO2 the higher Tc. This structure causes a large anisotropy in normal conducting and superconducting properties, since electrical currents are carried by holes induced in the oxygen sites of the CuO2 sheets. The electrical conduction is highly anisotropic, with a much higher conductivity parallel to the CuO2 plane than in the perpendicular direction. Generally, Critical temperatures depend on the chemical compositions, cations substitutions and oxygen content. They can be classified as superstripes; i.e., particular realizations of superlattices at atomic limit made of superconducting atomic layers, wires, dots separated by spacer layers, that gives multiband and multigap superconductivity.
Cuprates- refers to a material that can be viewed as containing copper anions.
Anions- an ion with more electrons than protons, giving it a net negative charge (since electrons are negatively charged and protons are positively charged).
The super conductivity of Cuprates (copper containing metals) help explain the hidden force behind particles and waves.
“The amazing thing is you start with this theory and out you get the conductivity of these strange superconductors,” said Sachdev, who was not involved with the work.

The results bolster the evidence that this new way of looking at nature’s building blocks is real and that it is “strikingly literal,” said Jan Zaanen, a theoretical physicist at Leiden University in the Netherlands.
Once again, this section emphasizes how the super conductivity of Cuprates (copper containing metals) change how people, places, and things come together.
What’s more, the results could be seen as an unusual, indirect kind of evidence for string theory — a 40-year-old framework that weaves together quantum mechanics and gravity and is as mathematically elegant and profoundly explanatory as it is unproven.
String Theory is known as a Theory of Everything (TOE). Because modern particle physics doesn't include the force of gravity, they needed a theory to explain how gravity is included. String Theory is often a celebrated model for new age types because it reveals all people, places, and things are connected. More of String Theory here:
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. In string theory, the different types of observed elementary particles arise from the different quantum states of these strings. In addition to the types of particles postulated by the standard model of particle physics, string theory naturally incorporates gravity, and is therefore a candidate for a theory of everything, a self-contained mathematical model that describes all fundamental forces and forms of matter. Aside from this hypothesized role in particle physics, string theory is now widely used as a theoretical tool in physics, and it has shed light on many aspects of quantum field theory and quantum gravity.
With looming questions about the nature of dark matter, the mysterious substance thought to constitute 84 percent of the mass in the universe, and the search for a “theory of everything” that mathematically describes all of nature, researchers say the findings could have sweeping implications.
Dark matter explained here:
In astronomy and cosmology, dark matter is a type of matter hypothesized to account for a large part of the total mass in the universe. Dark matter cannot be seen directly with telescopes; evidently it neither emits nor absorbs light or other electromagnetic radiation at any significant level.[1] Instead, its existence and properties are inferred from its gravitational effects on visible matter, radiation, and the large-scale structure of the universe.
“There is a realistic chance that we will make enormous progress in fundamental physics in the next couple of years,” Zaanen said. “It’s moving very, very quickly.”
(continued)
Last edited by Royal on Tue Jul 30, 2013 9:57 pm, edited 1 time in total.

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Re: 2013 Holographic Duality Findings

Post by Royal » Tue Jul 30, 2013 9:56 pm

Below the Surface

If waves and particles are like the turbulence on the surface of a pond, the connection between that turbulence and events in the interior of the pond was first described by a mathematical principle discovered in 1997. In a landmark paper, Juan Maldacena, an Argentinian-American physicist then at Harvard University and now at the Institute for Advanced Study in Princeton, N.J., showed that events taking place in a 3-D region of space mathematically correspond to very different events taking place on that region’s 2-D boundary. (Events in 4-D also correspond to events in 3-D, and 5-D to 4-D and so on.)
To simplify: A Physicist introduced a theory explaining 2-D particle space was influenced by the 3-D hidden force. And that 4-D would in turn influence that 3-D space.
Consider the 3-D interior and 2-D surface of the metaphoric pond. For the correspondence to work, the interior must be mathematically described by string theory, in which electrons, photons, gravitons and the rest of nature’s building blocks are invisibly small, one-dimensional lines, or “strings.” Mass and other macroscopic properties correspond to the strings’ vibrations, and interactions between different kinds of matter and forces come from the way strings split and connect. These strings live inside the pond.
Explaining the model: a pond of invisible strings attaching to a flat surface of particles.
Now, imagine that the 2-D surface of the pond is described by quantum mechanics. Particles are the splashes on the surface, and waves are the cascade of ripples from those splashes. On the surface of this imaginary pond, there is no force of gravity.
Explaining the model: Gravity effects the inside of the pond and pulls upon it's surface- the particles and waves we can see.
Maldacena’s discovery, known as the holographic duality, showed that events in the interior region, which involve gravity and are described by string theory, are mathematically translatable to events on the surface, which are gravity-free and described by quantum particle theories.
Holographic duality illustrated here as "the pond", now has mathematically proof.
“To understand this relationship, the crucial aspect is when the gravity theory is easy to analyze, then the particles on the boundary” — or, in the pond analogy, the surface — “are interacting very strongly with each other,” Maldacena said. The converse is also true: When the particles are calm on the surface, as they are in most forms of matter, then the situation in the pond’s interior is extremely complicated.

That contrast is what makes the duality useful.
SImplified as: Scientists find it easy to analyze when the observable surface of the " holographic pond" is very chaotic or very calm. The duality being that when the surface is chaotic, the inside of the "holographic pond" is calm.
The strange class of materials that includes cuprates belongs in the first category; experiments suggest that particles in these materials interact so strongly with one another that they lose their individuality. Physicists say the particles are “strongly correlated.” The wavy ripples corresponding to each overlap so much that a kind of swarm effect is believed to occur. Strongly correlated matter can behave in diverse and unexpected ways that are difficult or in some cases impossible to describe with known quantum mechanical methods, said Sean Hartnoll, a physics professor at Stanford University. “You need a different way of looking at them than starting from single particle descriptions,” he said. “You don’t try to explain the ocean in terms of individual water molecules.”
The activity of Cuprates interacting so much that they lose their individuality, creates a “swarm effect”, and it allows a window into the hidden world.
If strongly correlated matter is thought of as “living” on the 2-D surface of a pond, the holographic duality suggests that the extreme turbulence on that surface is mathematically equivalent to still waters in the interior. Physicists can get at the surface-level behavior by studying the parallel, but much simpler, situation below. “You can compute things in that tranquil world,” Zaanen said.
The findings support there's an inverse relationship between a chaotic 2-D surface and a calm 3-D interior of strings.
Scientists used a chaotic surface to analyze the hidden world beneath.
In the mathematical parlance of the holographic duality, certain strongly correlated matter in 2-D corresponds, in 3-D, to a black hole — an infinitely dense object with an inescapable gravitational pull, which is mathematically simple. “These very complicated quantum mechanical collective effects are beautifully captured by black hole physics,” said Hong Liu, an associate professor of physics at the Massachusetts Institute of Technology. “For strongly correlated systems, if you put an electron into the system, it will immediately ‘disappear’ — you can no longer track it.” It’s like an object falling into a black hole.
The findings support black hole physics.
Increasingly over the past decade, studying the black hole equivalents of strongly correlated forms of matter has yielded groundbreaking results, such as a new equation for the viscosity of strongly interacting fluids and a better grasp of interactions between quarks and gluons, which are particles found in the nuclei of atoms.
Matter described as having a chaotic surface of the "pond", have provided evidence to the interaction of quarks and gluons.

(Continued)
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Re: 2013 Holographic Duality Findings

Post by Royal » Tue Jul 30, 2013 10:02 pm

Now, Gary Horowitz, a string theorist at UC-Santa Barbara, and Jorge Santos, a post-doctoral researcher in Horowitz’s group, have applied the holographic duality to cuprates. They derived a formula for the conductivity of the metals, which are approximately 2-D, by studying related properties of what may be their counterpart in 3-D: an electrically charged, peculiarly shaped black hole.
String Theorist, G.Horowitz, proposes that the inside of the 3-D pond is a electrically charged, peculiar shaped black hole.
The work took numerical virtuosity. In cuprates, a swarm of strongly correlated electrons moves through a fixed lattice of atoms. Modeling the metals with the holographic duality therefore required working the equivalent of a lattice into the structure of the corresponding black hole by giving it a corrugated outer surface, or horizon.
Cuprates (high temprerature superconductive matter) move through a fixed lattice of atoms. But creating a corrugated outer surface they are able to replicate the black hole.
“When it comes to playing ball with black holes, you need Gary [Horowitz],” Zaanen said.

To determine a formula for the conductivity of cuprates, Horowitz and Santos had to study how light would interact with the complicated horizon of their black hole. The equations were too thorny to solve exactly, so they found approximate solutions using a computer. In their first paper detailing this approach, co-authored by Cambridge University physics professor David Tong and published in July 2012 in the Journal of High Energy Physics, they derived a formula that matched the conductivity of cuprates at high temperatures in response to an alternating current. In the new work, they extended the calculation down to the temperature range in which cuprates become superconductive, or conduct electricity with no resistance, and again found a close match with experimental measurements of real cuprates.
How Light interacts with the horizon of the black hole (too complicated, need another way) → Computer models from responses to an alternating current --> works = Conductivity of Cuprates
“It amazes me that such a simple gravity model is able to reproduce any feature of a real material,” Horowitz said. “So this is encouraging us to think harder."
Simple designs can replicate a real physical interaction.
The accuracy of Horowitz and Santos’ model breaks down in some significant cases, such as for alternating currents with extremely high frequencies, but Sachdev said that considering how simple the corrugated black hole model is, “it couldn’t have worked any better.” Incorporating more of the microscopic details of cuprates into the structure of the black hole will probably deepen their congruence, he said.
Speculates that more microscopic details of real cuprates to establish a better working model for high frequency alternating currents.
Hartnoll, who recently used the holographic duality to model metal-insulator transitions in strongly correlated materials, hopes to build on the results by solving Horowitz and Santos’ equations exactly. “They have an input and an output; we’d like to decompress it and understand the critical steps in between,” he said. Doing so would reveal where the conductivity formula originates in the black hole environment, providing more insights about the corresponding forces at play inside cuprates.
Future scientists will attempt to explain the conductivity occurring in the black hole in "the pond".
A New Duality
Understanding the physics of cuprates could have important practical applications. Most metals start to superconduct when their temperature drops close to absolute zero. But, for reasons not completely understood, cuprates exhibit superconductivity at much more accessible temperatures, making them useful for devices ranging from high-power electrical cables to ship propulsion motors. Cuprates are brittle and expensive, however, and engineering better versions by tweaking their properties could lead to dramatic improvements in a range of technologies, from magnetically levitating vehicles and other devices to more efficient power grids.
Cuprates may be a hot commodity of the future.
There is also the potential for advancing fundamental physics. If the holographic duality yields increasingly accurate predictions about the behavior of cuprates and other strongly correlated materials, these materials can be conceived as, essentially, being black holes in higher dimensions.
“Cuprates as blackholes in higher dimensions”.
“If we had a model which reproduced all the features of a material, it could be viewed as a theory of it — a very unusual kind of theory, but given the duality, it’s equivalent to any theory you would produce on the boundary, with the usual particles,” Horowitz said. “And it might just be a lot simpler.”
Horowitz is alluding to the ability to produce any model that exhibits the qualities in the experiment. Can this easily be applied to people with high congruency talking about random topics?

(Continued)

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Re: 2013 Holographic Duality Findings

Post by Royal » Tue Jul 30, 2013 10:07 pm

The holographic duality echoes the wave-particle duality that led to the development of quantum mechanics. In the early 1900s, light, which was previously thought to be a wave, seemed perplexing in some experiments unless it was treated as particles, and electrons, thought to be particles, sometimes didn’t make sense unless they were conceived as waves. “The wave-particle duality was, when first proposed, a big surprise because these were two seemingly different concepts, and we learned that they are the same thing,” Horowitz said. The holographic duality “is more sophisticated, but it has that same feature,” he said. “You have two very different-seeming objects that turn out to be completely equivalent.”
Previous experiments have concluded that particles and waves on the surface of the "holographic pond" were essentially the same. The new findings suggest that matter (surface of pond) and this dark matter (inside pond) are mathematically equivalent because of their duality.
But how does the holographic duality factor into our understanding of nature? Are the one-dimensional strings from the pond analogy real? Not necessarily, physicists say. In fact, the strings never factored into Horowitz and Santos’ calculations of the properties of the black hole they used as a model of cuprates. But the findings do give physicists a sense that “all these theories that we thought were different are actually all related,” Maldacena said. “It shows that string theory is not disconnected from the rest of physics.”
This portion illustrates that the 3-D pond of strings were not factored into the idea of the “blackhole” in the experiment.
String theory may simply be the best mathematical language for grappling with certain aspects of reality, the physicists interviewed for this article said.

“Physics was traditionally reductionist; it wants to take something complicated and find out what the building blocks are,” Hartnoll explained. “The point is there’s not a unique way to do that: In some cases, electrons could be the building blocks, but in others, collective excitations of electrons are playing a more fundamental role than any of the individual electrons.
Explained how the collective excitement of electrons can provide more results than the study of one.
“We are trying to find the right building blocks to describe these strange phases of matter,” he said. “And they might be strings in one higher dimension.”
The strange phases of matter are creating a window to a higher dimension.
As physicists interpret what it means that particles in a strange, brittle metal mathematically correspond to strings and a peculiar black hole that exists — at least theoretically — in a higher dimension, the holographic duality enables them to “think differently about the mysteries in the laboratories,” Zaanen said. “And perhaps it’s not only about thinking differently; it’s about seeing the real, beautiful facts.”

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Re: 2013 Holographic Duality Findings

Post by Pigeon » Wed Jul 31, 2013 2:25 am

Some interesting research. I have a bit of a time seeing the calm 3D, turbulent 2D and vice versa.

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