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Saturday, August 4, 2018

Quantum mind

From Wikipedia, the free encyclopedia

The quantum mind or quantum consciousness group of hypotheses propose that classical mechanics cannot explain consciousness. It posits that quantum mechanical phenomena, such as quantum entanglement and superposition, may play an important part in the brain's function and could contribute to form the basis of an explanation of consciousness.

Hypotheses have been proposed about ways for quantum effects to be involved in the process of consciousness, but even those who advocate them admit that the hypotheses remain unproven, and possibly unprovable. Some of the proponents propose experiments that could demonstrate quantum consciousness, but the experiments have not yet been possible to perform.

Terms used in the theory of quantum mechanics can be misinterpreted by laymen in ways that are not valid but that sound mystical or religious, and therefore may seem to be related to consciousness. These misinterpretations of the terms are not justified in the theory of quantum mechanics. According to Sean Carroll, "No theory in the history of science has been more misused and abused by cranks and charlatans—and misunderstood by people struggling in good faith with difficult ideas—than quantum mechanics."[2] Lawrence Krauss says, "No area of physics stimulates more nonsense in the public arena than quantum mechanics."[3] Some proponents of pseudoscience use quantum mechanical terms in an effort to justify their statements, but this effort is misleading, and it is a false interpretation of the physical theory. Quantum mind theories of consciousness that are based on this kind of misinterpretations of terms are not valid by scientific methods or from empirical experiments.

History

Eugene Wigner developed the idea that quantum mechanics has something to do with the workings of the mind. He proposed that the wave function collapses due to its interaction with consciousness. Freeman Dyson argued that "mind, as manifested by the capacity to make choices, is to some extent inherent in every electron."[4]

Other contemporary physicists and philosophers considered these arguments to be unconvincing.[5] Victor Stenger characterized quantum consciousness as a "myth" having "no scientific basis" that "should take its place along with gods, unicorns and dragons."[6]

David Chalmers argued against quantum consciousness. He instead discussed how quantum mechanics may relate to dualistic consciousness.[7] Chalmers is skeptical of the ability of any new physics to resolve the hard problem of consciousness.[8][9]

Quantum mind approaches

Bohm

David Bohm viewed quantum theory and relativity as contradictory, which implied a more fundamental level in the universe.[10] He claimed both quantum theory and relativity pointed towards this deeper theory, which he formulated as a quantum field theory. This more fundamental level was proposed to represent an undivided wholeness and an implicate order, from which arises the explicate order of the universe as we experience it.

Bohm's proposed implicate order applies both to matter and consciousness. He suggested that it could explain the relationship between them. He saw mind and matter as projections into our explicate order from the underlying implicate order. Bohm claimed that when we look at matter, we see nothing that helps us to understand consciousness.

Bohm discussed the experience of listening to music. He believed the feeling of movement and change that make up our experience of music derive from holding the immediate past and the present in the brain together. The musical notes from the past are transformations rather than memories. The notes that were implicate in the immediate past become explicate in the present. Bohm viewed this as consciousness emerging from the implicate order.

Bohm saw the movement, change or flow, and the coherence of experiences, such as listening to music, as a manifestation of the implicate order. He claimed to derive evidence for this from Jean Piaget's[11] work on infants. He held these studies to show that young children learn about time and space because they have a "hard-wired" understanding of movement as part of the implicate order. He compared this "hard-wiring" to Chomsky's theory that grammar is "hard-wired" into human brains.

Bohm never proposed a specific means by which his proposal could be falsified, nor a neural mechanism through which his "implicate order" could emerge in a way relevant to consciousness.[10] Bohm later collaborated on Karl Pribram's holonomic brain theory as a model of quantum consciousness.[12]

According to philosopher Paavo Pylkkänen, Bohm's suggestion "leads naturally to the assumption that the physical correlate of the logical thinking process is at the classically describable level of the brain, while the basic thinking process is at the quantum-theoretically describable level."[13]

Penrose and Hameroff

Theoretical physicist Roger Penrose and anaesthesiologist Stuart Hameroff collaborated to produce the theory known as Orchestrated Objective Reduction (Orch-OR). Penrose and Hameroff initially developed their ideas separately and later collaborated to produce Orch-OR in the early 1990s. The theory was reviewed and updated by the authors in late 2013.[14][15]

Penrose's argument stemmed from Gödel's incompleteness theorems. In Penrose's first book on consciousness, The Emperor's New Mind (1989),[16] he argued that while a formal system cannot prove its own consistency, Gödel’s unprovable results are provable by human mathematicians.[17] He took this disparity to mean that human mathematicians are not formal proof systems and are not running a computable algorithm. According to Bringsjorg and Xiao, this line of reasoning is based on fallacious equivocation on the meaning of computation.[18] In the same book, Penrose wrote, "One might speculate, however, that somewhere deep in the brain, cells are to be found of single quantum sensitivity. If this proves to be the case, then quantum mechanics will be significantly involved in brain activity."[16]:p.400

Penrose determined wave function collapse was the only possible physical basis for a non-computable process. Dissatisfied with its randomness, Penrose proposed a new form of wave function collapse that occurred in isolation and called it objective reduction. He suggested each quantum superposition has its own piece of spacetime curvature and that when these become separated by more than one Planck length they become unstable and collapse.[19] Penrose suggested that objective reduction represented neither randomness nor algorithmic processing but instead a non-computable influence in spacetime geometry from which mathematical understanding and, by later extension, consciousness derived.[19]

Hameroff provided a hypothesis that microtubules would be suitable hosts for quantum behavior.[20] Microtubules are composed of tubulin protein dimer subunits. The dimers each have hydrophobic pockets that are 8 nm apart and that may contain delocalized pi electrons. Tubulins have other smaller non-polar regions that contain pi electron-rich indole rings separated by only about 2 nm. Hameroff proposed that these electrons are close enough to become entangled.[21] Hameroff originally suggested the tubulin-subunit electrons would form a Bose–Einstein condensate, but this was discredited.[22] He then proposed a Frohlich condensate, a hypothetical coherent oscillation of dipolar molecules. However, this too was experimentally discredited.[23]

However, Orch-OR made numerous false biological predictions, and is not an accepted model of brain physiology.[24] In other words, there is a missing link between physics and neuroscience,[25] for instance, the proposed predominance of 'A' lattice microtubules, more suitable for information processing, was falsified by Kikkawa et al.,[26][27] who showed all in vivo microtubules have a 'B' lattice and a seam. The proposed existence of gap junctions between neurons and glial cells was also falsified.[28] Orch-OR predicted that microtubule coherence reaches the synapses via dendritic lamellar bodies (DLBs), however De Zeeuw et al. proved this impossible,[29] by showing that DLBs are located micrometers away from gap junctions.[30]

In January 2014, Hameroff and Penrose claimed that the discovery of quantum vibrations in microtubules by Anirban Bandyopadhyay of the National Institute for Materials Science in Japan in March 2013[31] corroborates the Orch-OR theory.[15][32]

Although these theories are stated in a scientific framework, it is difficult to separate them from the personal opinions of the scientist. The opinions are often based on intuition or subjective ideas about the nature of consciousness. For example, Penrose wrote,
my own point of view asserts that you can't even simulate conscious activity. What's going on in conscious thinking is something you couldn't properly imitate at all by computer.... If something behaves as though it's conscious, do you say it is conscious? People argue endlessly about that. Some people would say, 'Well, you've got to take the operational viewpoint; we don't know what consciousness is. How do you judge whether a person is conscious or not? Only by the way they act. You apply the same criterion to a computer or a computer-controlled robot.' Other people would say, 'No, you can't say it feels something merely because it behaves as though it feels something.' My view is different from both those views. The robot wouldn't even behave convincingly as though it was conscious unless it really was — which I say it couldn't be, if it's entirely computationally controlled.[33]
Penrose continues,
A lot of what the brain does you could do on a computer. I'm not saying that all the brain's action is completely different from what you do on a computer. I am claiming that the actions of consciousness are something different. I'm not saying that consciousness is beyond physics, either — although I'm saying that it's beyond the physics we know now.... My claim is that there has to be something in physics that we don't yet understand, which is very important, and which is of a noncomputational character. It's not specific to our brains; it's out there, in the physical world. But it usually plays a totally insignificant role. It would have to be in the bridge between quantum and classical levels of behavior — that is, where quantum measurement comes in.[34]
In response, W. Daniel Hillis replied, "Penrose has committed the classical mistake of putting humans at the center of the universe. His argument is essentially that he can't imagine how the mind could be as complicated as it is without having some magic elixir brought in from some new principle of physics, so therefore it must involve that. It's a failure of Penrose's imagination.... It's true that there are unexplainable, uncomputable things, but there's no reason whatsoever to believe that the complex behavior we see in humans is in any way related to uncomputable, unexplainable things."[34]

Lawrence Krauss is also blunt in criticizing Penrose's ideas. He said, "Well, Roger Penrose has given lots of new-age crackpots ammunition by suggesting that at some fundamental scale, quantum mechanics might be relevant for consciousness. When you hear the term 'quantum consciousness,' you should be suspicious.... Many people are dubious that Penrose's suggestions are reasonable, because the brain is not an isolated quantum-mechanical system."[3]

Umezawa, Vitiello, Freeman

Hiroomi Umezawa and collaborators proposed a quantum field theory of memory storage.[35][36] Giuseppe Vitiello and Walter Freeman proposed a dialog model of the mind. This dialog takes place between the classical and the quantum parts of the brain.[37][38][39] Their quantum field theory models of brain dynamics are fundamentally different from the Penrose-Hameroff theory.

Pribram, Bohm, Kak

Karl Pribram's holonomic brain theory (quantum holography) invoked quantum mechanics to explain higher order processing by the mind.[40][41] He argued that his holonomic model solved the binding problem.[42] Pribram collaborated with Bohm in his work on the quantum approaches to mind and he provided evidence on how much of the processing in the brain was done in wholes.[43] He proposed that ordered water at dendritic membrane surfaces might operate by structuring Bose-Einstein condensation supporting quantum dynamics.[44]

Although Subhash Kak's work is not directly related to that of Pribram, he likewise proposed that the physical substrate to neural networks has a quantum basis,[45][46] but asserted that the quantum mind has machine-like limitations.[47] He points to a role for quantum theory in the distinction between machine intelligence and biological intelligence, but that in itself cannot explain all aspects of consciousness.[48][49] He has proposed that the mind remains oblivious of its quantum nature due to the principle of veiled nonlocality.[50][51]

Stapp

Henry Stapp proposed that quantum waves are reduced only when they interact with consciousness. He argues from the Orthodox Quantum Mechanics of John von Neumann that the quantum state collapses when the observer selects one among the alternative quantum possibilities as a basis for future action. The collapse, therefore, takes place in the expectation that the observer associated with the state. Stapp's work drew criticism from scientists such as David Bourget and Danko Georgiev.[52] Georgiev[53][54][55] criticized Stapp's model in two respects:
  • Stapp's mind does not have its own wavefunction or density matrix, but nevertheless can act upon the brain using projection operators. Such usage is not compatible with standard quantum mechanics because one can attach any number of ghostly minds to any point in space that act upon physical quantum systems with any projection operators. Therefore, Stapp's model negates "the prevailing principles of physics".[53]
  • Stapp's claim that quantum Zeno effect is robust against environmental decoherence directly contradicts a basic theorem in quantum information theory that acting with projection operators upon the density matrix of a quantum system can only increase the system's Von Neumann entropy.[53][54]
Stapp has responded to both of Georgiev's objections.[56][57]

David Pearce

British philosopher David Pearce defends what he calls physicalistic idealism (""Physicalistic idealism" is the non-materialist physicalist claim that reality is fundamentally experiential and that the natural world is exhaustively described by the equations of physics and their solutions [...]," and has conjectured that unitary conscious minds are physical states of quantum coherence (neuronal superpositions).[58][59][60][61] This conjecture is, according to Pearce, amenable to falsification unlike most theories of consciousness, and Pearce has outlined an experimental protocol describing how the hypothesis could be tested using matter-wave interferometry to detect nonclassical interference patterns of neuronal superpositions at the onset of thermal decoherence.[62] Pearce admits that his ideas are "highly speculative," "counterintuitive," and "incredible."[60]

Criticism

These hypotheses of the quantum mind remain hypothetical speculation, as Penrose and Pearce admitted in their discussion. Until they make a prediction that is tested by experiment, the hypotheses aren't based in empirical evidence. According to Lawrence Krauss, "It is true that quantum mechanics is extremely strange, and on extremely small scales for short times, all sorts of weird things happen. And in fact we can make weird quantum phenomena happen. But what quantum mechanics doesn't change about the universe is, if you want to change things, you still have to do something. You can't change the world by thinking about it."[3]

The process of testing the hypotheses with experiments is fraught with problems, including conceptual/theoretical, practical, and ethical issues.

Conceptual problems

The idea that a quantum effect is necessary for consciousness to function is still in the realm of philosophy. Penrose proposes that it is necessary. But other theories of consciousness do not indicate that it is needed. For example, Daniel Dennett proposed a theory called multiple drafts model that doesn't indicate that quantum effects are needed. The theory is described in Dennett's book, Consciousness Explained, published in 1991.[63] A philosophical argument on either side isn't scientific proof, although the philosophical analysis can indicate key differences in the types of models, and they can show what type of experimental differences might be observed. But since there isn't a clear consensus among philosophers, it isn't conceptual support that a quantum mind theory is needed.

There are computers that are specifically designed to compute using quantum mechanical effects. Quantum computing is computing using quantum-mechanical phenomena, such as superposition and entanglement.[64] They are different from binary digital electronic computers based on transistors. Whereas common digital computing requires that the data be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits, which can be in superpositions of states. One of the greatest challenges is controlling or removing quantum decoherence. This usually means isolating the system from its environment as interactions with the external world cause the system to decohere. Currently, some quantum computers require their qubits to be cooled to 20 millikelvins in order to prevent significant decoherence.[65] As a result, time consuming tasks may render some quantum algorithms inoperable, as maintaining the state of qubits for a long enough duration will eventually corrupt the superpositions.[66] There aren't any obvious analogies between the functioning of quantum computers and the human brain. Some of the hypothetical models of quantum mind have proposed mechanisms for maintaining quantum coherence in the brain, but they have not been shown to operate.

Quantum entanglement is a physical phenomenon often invoked for quantum mind models. This effect occurs when pairs or groups of particles interact so that the quantum state of each particle cannot be described independently of the other(s), even when the particles are separated by a large distance. Instead, a quantum state has to be described for the whole system. Measurements of physical properties such as position, momentum, spin, and polarization, performed on entangled particles are found to be correlated. If one of the particles is measured, the same property of the other particle immediately adjusts to maintain the conservation of the physical phenomenon. According to the formalism of quantum theory, the effect of measurement happens instantly, no matter how far apart the particles are.[67][68] It is not possible to use this effect to transmit classical information at faster-than-light speeds[69] (see Faster-than-light § Quantum mechanics). Entanglement is broken when the entangled particles decohere through interaction with the environment; for example, when a measurement is made[70] or the particles undergo random collisions or interactions. According to David Pearce, "In neuronal networks, ion-ion scattering, ion-water collisions, and long-range Coulomb interactions from nearby ions all contribute to rapid decoherence times; but thermally-induced decoherence is even harder experimentally to control than collisional decoherence." He anticipated that quantum effects would have to be measured in femtoseconds, a trillion times faster than the rate at which neurons function (milliseconds).[62]

Another possible conceptual approach is to use quantum mechanics as an analogy to understand a different field of study like consciousness, without expecting that the laws of quantum physics will apply. An example of this approach is the idea of Schrödinger's cat. Erwin Schrödinger described how one could, in principle, create entanglement of a large-scale system by making it dependent on an elementary particle in a superposition. He proposed a scenario with a cat in a locked steel chamber, wherein the cat's life or death depended on the state of a radioactive atom, whether it had decayed and emitted radiation or not. According to Schrödinger, the Copenhagen interpretation implies that the cat remains both alive and dead until the state has been observed. Schrödinger did not wish to promote the idea of dead-and-alive cats as a serious possibility; on the contrary, he intended the example to illustrate the absurdity of the existing view of quantum mechanics.[71] However, since Schrödinger's time, other interpretations of the mathematics of quantum mechanics have been advanced by physicists, some of which regard the "alive and dead" cat superposition as quite real.[72][73] Schrödinger's famous thought experiment poses the question, "when does a quantum system stop existing as a superposition of states and become one or the other?" In the same way, it is possible to ask whether the brain's act of making a decision is analogous to having a superposition of states of two decision outcomes, so that making a decision means "opening the box" to reduce the brain from a combination of states to one state. But even Schrödinger didn't think this really happened to the cat; he didn't think the cat was literally alive and dead at the same time. This analogy about making a decision uses a formalism that is derived from quantum mechanics, but it doesn't indicate the actual mechanism by which the decision is made. In this way, the idea is similar to quantum cognition. This field clearly distinguishes itself from the quantum mind as it is not reliant on the hypothesis that there is something micro-physical quantum mechanical about the brain. Quantum cognition is based on the quantum-like paradigm,[74][75] generalized quantum paradigm,[76] or quantum structure paradigm[77] that information processing by complex systems such as the brain can be mathematically described in the framework of quantum information and quantum probability theory. This model uses quantum mechanics only as an analogy, but doesn't propose that quantum mechanics is the physical mechanism by which it operates. For example, quantum cognition proposes that some decisions can be analyzed as if there are interference between two alternatives, but it is not a physical quantum interference effect.

Practical problems

The demonstration of a quantum mind effect by experiment is necessary. Is there a way to show that consciousness is impossible without a quantum effect? Can a sufficiently complex digital, non-quantum computer be shown to be incapable of consciousness? Perhaps a quantum computer will show that quantum effects are needed. In any case, complex computers that are either digital or quantum computers may be built. These could demonstrate which type of computer is capable of conscious, intentional thought. But they don't exist yet, and no experimental test has been demonstrated.

Quantum mechanics is a mathematical model that can provide some extremely accurate numerical predictions. Richard Feynman called quantum electrodynamics, based on the quantum mechanics formalism, "the jewel of physics" for its extremely accurate predictions of quantities like the anomalous magnetic moment of the electron and the Lamb shift of the energy levels of hydrogen.[78]:Ch1 So it is not impossible that the model could provide an accurate prediction about consciousness that would confirm that a quantum effect is involved. If the mind depends on quantum mechanical effects, the true proof is to find an experiment that provides a calculation that can be compared to an experimental measurement. It has to show a measurable difference between a classical computation result in a brain and one that involves quantum effects.

The main theoretical argument against the quantum mind hypothesis is the assertion that quantum states in the brain would lose coherency before they reached a scale where they could be useful for neural processing. This supposition was elaborated by Tegmark. His calculations indicate that quantum systems in the brain decohere at sub-picosecond timescales.[79][80] No response by a brain has shows computation results or reactions on this fast of a timescale. Typical reactions are on the order of milliseconds, trillions of times longer than sub-picosecond time scales.[81]

Daniel Dennett uses an experimental result in support of his Multiple Drafts Model of an optical illusion that happens on a time scale of less than a second or so. In this experiment, two different colored lights, with an angular separation of a few degrees at the eye, are flashed in succession. If the interval between the flashes is less than a second or so, the first light that is flashed appears to move across to the position of the second light. Furthermore, the light seems to change color as it moves across the visual field. A green light will appear to turn red as it seems to move across to the position of a red light. Dennett asks how we could see the light change color before the second light is observed.[63] Velmans argues that the cutaneous rabbit illusion, another illusion that happens in about a second, demonstrates that there is a delay while modelling occurs in the brain and that this delay was discovered by Libet.[82] These slow illusions that happen at times of less than a second don't support a proposal that the brain functions on the picosecond time scale.

According to David Pearce, a demonstration of picosecond effects is "the fiendishly hard part – feasible in principle, but an experimental challenge still beyond the reach of contemporary molecular matter-wave interferometry. ...The conjecture predicts that we'll discover the interference signature of sub-femtosecond macro-superpositions."[62]

Penrose says,
The problem with trying to use quantum mechanics in the action of the brain is that if it were a matter of quantum nerve signals, these nerve signals would disturb the rest of the material in the brain, to the extent that the quantum coherence would get lost very quickly. You couldn't even attempt to build a quantum computer out of ordinary nerve signals, because they're just too big and in an environment that's too disorganized. Ordinary nerve signals have to be treated classically. But if you go down to the level of the microtubules, then there's an extremely good chance that you can get quantum-level activity inside them.

For my picture, I need this quantum-level activity in the microtubules; the activity has to be a large scale thing that goes not just from one microtubule to the next but from one nerve cell to the next, across large areas of the brain. We need some kind of coherent activity of a quantum nature which is weakly coupled to the computational activity that Hameroff argues is taking place along the microtubules.

There are various avenues of attack. One is directly on the physics, on quantum theory, and there are certain experiments that people are beginning to perform, and various schemes for a modification of quantum mechanics. I don't think the experiments are sensitive enough yet to test many of these specific ideas. One could imagine experiments that might test these things, but they'd be very hard to perform.[34]
A demonstration of a quantum effect in the brain has to explain this problem or explain why it is not relevant, or that the brain somehow circumvents the problem of the loss of quantum coherency at body temperature. As Penrose proposes, it may require a new type of physical theory.

Ethical problems

Can self-awareness, or understanding of a self in the surrounding environment, be done by a classical parallel processor, or are quantum effects needed to have a sense of "oneness"? According to Lawrence Krauss, "You should be wary whenever you hear something like, 'Quantum mechanics connects you with the universe' ... or 'quantum mechanics unifies you with everything else.' You can begin to be skeptical that the speaker is somehow trying to use quantum mechanics to argue fundamentally that you can change the world by thinking about it."[3] A subjective feeling is not sufficient to make this determination. Humans don't have a reliable subjective feeling for how we do a lot of functions. According to Daniel Dennett, "On this topic, Everybody's an expert... but they think that they have a particular personal authority about the nature of their own conscious experiences that can trump any hypothesis they find unacceptable."[83]

Since humans are the only animals known to be conscious, then performing experiments to demonstrate quantum effects in consciousness requires experimentation on a living human brain. This is not automatically excluded or impossible, but it seriously limits the kinds of experiments that can be done. Studies of the ethics of brain studies are being actively solicited[84] by the BRAIN Initiative, a U.S. Federal Government funded effort to document the connections of neurons in the brain.

An ethically objectionable practice by proponents of quantum mind theories involves the practice of using quantum mechanical terms in an effort to make the argument sound more impressive, even when they know that those terms are irrelevant. Dale DeBakcsy notes that "trendy parapsychologists, academic relativists, and even the Dalai Lama have all taken their turn at robbing modern physics of a few well-sounding phrases and stretching them far beyond their original scope in order to add scientific weight to various pet theories."[85] At the very least, these proponents must make a clear statement about whether quantum formalism is being used as an analogy or as an actual physical mechanism, and what evidence they are using for support. An ethical statement by a researcher should specify what kind of relationship their hypothesis has to the physical laws.

Misleading statements of this type have been given by, for example, Deepak Chopra. Chopra has commonly referred to topics such as quantum healing or quantum effects of consciousness. Seeing the human body as being undergirded by a "quantum mechanical body" composed not of matter but of energy and information, he believes that "human aging is fluid and changeable; it can speed up, slow down, stop for a time, and even reverse itself," as determined by one's state of mind.[86] Robert Carroll states Chopra attempts to integrate Ayurveda with quantum mechanics to justify his teachings.[87] Chopra argues that what he calls "quantum healing" cures any manner of ailments, including cancer, through effects that he claims are literally based on the same principles as quantum mechanics.[88] This has led physicists to object to his use of the term quantum in reference to medical conditions and the human body.[88] Chopra said, "I think quantum theory has a lot of things to say about the observer effect, about non-locality, about correlations. So I think there’s a school of physicists who believe that consciousness has to be equated, or at least brought into the equation, in understanding quantum mechanics."[89] On the other hand, he also claims "[Quantum effects are] just a metaphor. Just like an electron or a photon is an indivisible unit of information and energy, a thought is an indivisible unit of consciousness."[89] In his book Quantum Healing, Chopra stated the conclusion that quantum entanglement links everything in the Universe, and therefore it must create consciousness.[90] In either case, the references to the word "quantum" don't mean what a physicist would claim, and arguments that use the word "quantum" shouldn't be taken as scientifically proven.

Chris Carter includes statements in his book, Science and Psychic Phenomena,[91] of quotes from quantum physicists in support of psychic phenomena. In a review of the book, Benjamin Radford wrote that Carter used such references to "quantum physics, which he knows nothing about and which he (and people like Deepak Chopra) love to cite and reference because it sounds mysterious and paranormal.... Real, actual physicists I've spoken to break out laughing at this crap.... If Carter wishes to posit that quantum physics provides a plausible mechanism for psi, then it is his responsibility to show that, and he clearly fails to do so."[92] Sharon Hill has studied amateur paranormal research groups, and these groups like to use "vague and confusing language: ghosts 'use energy,' are made up of 'magnetic fields', or are associated with a 'quantum state.'"[93][94]

Statements like these about quantum mechanics indicate a temptation to misinterpret technical, mathematical terms like entanglement in terms of mystical feelings. This approach can be interpreted as a kind of Scientism, using the language and authority of science when the scientific concepts don't apply.

A larger problem in the popular press with the quantum mind hypotheses is that they are extracted without scientific support or justification and used to support areas of pseudoscience. In brief, for example, the property of quantum entanglement refers to the connection between two particles that share a property such as angular momentum. If the particles collide, then they are no longer entangled. Extrapolating this property from the entanglement of two elementary particles to the functioning of neurons in the brain to be used in a computation is not simple. It is a long chain to prove a connection between entangled elementary particles and a macroscopic effect that affects human consciousness. It is also necessary to show how sensory inputs affect the coupled particles and then computation is accomplished.

Perhaps the final question is, what difference does it make if quantum effects are involved in computations in the brain? It is already known that quantum mechanics plays a role in the brain, since quantum mechanics determines the shapes and properties of molecules like neurotransmitters and proteins, and these molecules affect how the brain works. This is the reason that drugs such as morphine affect consciousness. As Daniel Dennett said, "quantum effects are there in your car, your watch, and your computer. But most things — most macroscopic objects — are, as it were, oblivious to quantum effects. They don't amplify them; they don't hinge on them."[34] Lawrence Krauss said, "We're also connected to the universe by gravity, and we're connected to the planets by gravity. But that doesn't mean that astrology is true.... Often, people who are trying to sell whatever it is they're trying to sell try to justify it on the basis of science. Everyone knows quantum mechanics is weird, so why not use that to justify it? ... I don't know how many times I've heard people say, 'Oh, I love quantum mechanics because I'm really into meditation, or I love the spiritual benefits that it brings me.' But quantum mechanics, for better or worse, doesn't bring any more spiritual benefits than gravity does."[3]

But it appears that these molecular quantum effects are not what the proponents of the quantum mind are interested in. Proponents seem to want to use the nonlocal, nonclassical aspects of quantum mechanics to connect the human consciousness to a kind of universal consciousness or to long-range supernatural abilities. Although it isn't impossible that these effects may be observed, they have not been found at present, and the burden of proof is on those who claim that these effects exist. The ability of humans to transfer information at a distance without a known classical physical mechanism has not been shown.

Canada Envisions Small Nuclear Reactors Producing Power And Hydrogen In Remote Towns

 
Original link:  https://www.forbes.com/sites/jeffmcmahon/2018/08/03/canada-envisions-small-nuclear-reactors-producing-power-and-hydrogen-in-remote-villages/amp/
Jeff McMahon Contributor
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Trains in the GO Transit Willowbrook rail maintenance facility in Etobicoke, Ontario, Canada. Canada envisions an integrated energy system in which small modular nuclear reactors will produce not only power, but hydrogen fuel for cars, trucks and trains like these. (Photo by Creative Touch Imaging Ltd./NurPhoto via Getty Images)

Imagine villages in the Canadian wilderness powered by small nuclear reactors that also provide the fuel for home heating and transportation.

Canadian Nuclear Laboratories hopes to prove the viability of small modular reactors by 2026 and use them not only to produce power, but to produce hydrogen that can decarbonize Canada’s transportation sector.


“The small modular reactors could be transformational in the way we approach energy generation, and (we could locate) small reactors within communities that are otherwise isolated from large electrical grids. So we really view the small reactors as an enabling element of a clean energy solution,” said Gina Strati, CNL’s Energy Program director for research and development.

“Our hydrogen research is focused ultimately on cogeneration of hydrogen with the small reactor. But more short term we’re looking at the transport sector. There is a lot of renewed interest in using hydrogen for transport, hydrogen for domestic vehicles, large vehicles, trains.”


Strati imagines deploying small reactors across the landscape where they can power remote communities or industrial sites that are far from the established grid. At the same time, they can produce hydrogen that serves as a clean fuel for transport, heating, and other uses that are currently carbon intensive.

Reactors are typically considered small if they generate less than 300 megawatts of power, sometimes as little as 25 MW, compared to conventional reactors which may produce more than 1,000 MW. They are considered modular because they can be constructed in factories, transported to sites and installed underground.


The U.S. has also shown governmental interest in small reactors but little economic interest.


In Canada, the small reactors would be integrated with renewables like solar and wind that, when producing electricity, would allow the reactors to produce hydrogen.

“When I think about integrated nuclear and renewable energy, I really view this as a very holistic problem, where all of these clean-energy technologies, nuclear technologies and renewable, work together synergistically to provide enough power for us to live the way we want to live and use the new technologies that enter the market on a regular basis.” Strati said during a July webinar hosted by the Clean Energy Solutions Center.

Canadian Nuclear Laboratories is a privately-held corporation that operates the government’s nuclear sites and laboratories.

In April, Canadian Nuclear Laboratories invited companies to propose small modular reactor demonstration projects for the Chalk River Laboratories site in Ontario. In June, it received four proposals. CNL also plans to build a Clean Energy Research Park at the same site, so it can study other clean-energy technologies alongside the small reactors.


A top focus, Strati pledged, will be safety.

“If ultimately we would like to couple a small modular reactor with hydrogen production in a remote community or an industrial off-grid site, it’s really important that we understand the safety aspects of that hydrogen production and that all of the regulations are in place and we have all of the safety questions answered before we look at that holistic solution.”

Read More: Nuclear Operators Scramble To Make Reactors Flexible Enough For New Energy Economy

By Jeff McMahon, based in Chicago. Follow Jeff McMahon on FacebookGoogle PlusTwitter, or email him here.

‘Negative mass’ created at Washington State University

April 21, 2017
Original link:  http://www.kurzweilai.net/negative-mass-created-at-washington-state-university
Experimental images of an expanding spin-orbit superfluid Bose-Einstein condensate at different expansion times (credit: M. A. Khamehchi et al./Physical Review Letters)

Washington State University (WSU) physicists have created a fluid with “negative mass,” which means that if you push it, it accelerates toward you instead of away, in apparent violation of Newton’s laws.

The phenomenon can be used to explore some of the more challenging concepts of the cosmos, said Michael Forbes, PhD, a WSU assistant professor of physics and astronomy and an affiliate assistant professor at the University of Washington. The research appeared Monday (April 17, 2017)  in the journal Physical Review Letters.

How to create negative mass

The researchers created the conditions for negative mass by cooling about 10,000 rubidium atoms to just above absolute zero, creating a Bose-Einstein condensate (in which individual atoms move as one object). In this state, particles move extremely slowly and, following the principles of quantum mechanics, behave like waves. They also synchronize and move in unison as a “superfluid” that flows without losing energy.

The lasers trapped the atoms as if they were in a bowl measuring less than a hundred micrometers across. At this point, the rubidium superfluid has regular mass. Breaking the bowl will allow the rubidium to rush out, expanding as the rubidium in the center pushes outward.

To create negative mass, the researchers applied a second set of lasers that kicked the atoms back and forth and changed the way they spin. Now when the rubidium rushes out fast enough, if behaves as if it has negative mass.

The technique used by the WSU researchers avoids some of the underlying defects encountered in previous attempts to create negative mass. It could hold clues to the behavior occurring in the heart of ultracold neutron stars, which also act as superfluids, and cosmological phenomena like black holes and dark energy, said Forbes.

The work was supported in part by a WSU New Faculty Seed Grant and the National Science Foundation.


Abstract of Negative-Mass Hydrodynamics in a Spin-Orbit–Coupled Bose-Einstein Condensate

A negative effective mass can be realized in quantum systems by engineering the dispersion relation. A powerful method is provided by spin-orbit coupling, which is currently at the center of intense research efforts. Here we measure an expanding spin-orbit coupled Bose-Einstein condensate whose dispersion features a region of negative effective mass. We observe a range of dynamical phenomena, including the breaking of parity and of Galilean covariance, dynamical instabilities, and self-trapping. The experimental findings are reproduced by a single-band Gross-Pitaevskii simulation, demonstrating that the emerging features—shock waves, soliton trains, self-trapping, etc.—originate from a modified dispersion. Our work also sheds new light on related phenomena in optical lattices, where the underlying periodic structure often complicates their interpretation.

Buddhism and science

From Wikipedia, the free encyclopedia
 
Buddhism and science have increasingly been discussed as compatible, and Buddhism has entered into the science and religion dialogue. The case is made that the philosophic and psychological teachings within Buddhism share commonalities with modern scientific and philosophic thought. For example, Buddhism encourages the impartial investigation of Nature (an activity referred to as Dhamma-Vicaya in the Pali Canon) — the principal object of study being oneself. Some popular conceptions of Buddhism connect it to discourse regarding evolution, quantum theory, and cosmology, though most scientists see a separation between the religious and metaphysical statements of Buddhism and the methodology of science. In 1993 a model deduced from Jean Piaget's theory of cognitive development was published arguing that Buddhism is a fourth mode of thought beyond magic, science and religion.

Buddhism has been described by some as rational and non-dogmatic, and there is evidence that this has been the case from the earliest period of its history,[5] though some have suggested this aspect is given greater emphasis in modern times and is in part a reinterpretation.[6] Not all forms of Buddhism eschew dogmatism, remain neutral on the subject of the supernatural, or are open to scientific discoveries. Buddhism is a varied tradition and aspects include fundamentalism,[7] devotional traditions,[8] supplication to local spirits, and various superstitions.[9] Nevertheless, certain commonalities have been cited between scientific investigation and Buddhist thought. Tenzin Gyatso, the 14th Dalai Lama, in a speech at the meeting of the Society for Neuroscience[10], listed a "suspicion of absolutes" and a reliance on causality and empiricism as common philosophical principles shared between Buddhism and science.[11]

Buddhism and the scientific method

The Kalama Sutta insists on a proper assessment of evidence, rather than a reliance on faith, hearsay or speculation:
"Yes, Kalamas, it is proper that you have doubt, that you have perplexity, for a doubt has arisen in a matter which is doubtful. Now, look you Kalamas, do not be led by reports, or tradition, or hearsay. Be not led by the authority of religious texts, not by mere logic or inference, nor by considering appearances, nor by the delight in speculative opinions, nor by seeming possibilities, nor by the idea: 'this is our teacher'. But, O Kalamas, when you know for yourselves that certain things are unwholesome (akusala), and wrong, and bad, then give them up...And when you know for yourselves that certain things are wholesome (kusala) and good, then accept them and follow them."[12]
The general tenor of the sutta is also similar to "Nullius in verba" — often translated as "Take no-one's word for it", the motto of the Royal Society.[13][not in citation given]

Buddhism and psychology

During the 1970s, several experimental studies suggested that Buddhist meditation could produce insights into a wide range of psychological states. Interest in the use of meditation as a means of providing insight into mind-states has recently been revived, following the increased availability of such brain-scanning technologies as fMRI and SPECT.
Such studies are enthusiastically encouraged by the present Dalai Lama, Tenzin Gyatso, who has long expressed an interest in exploring the connection between Buddhism and science and regularly attends the Mind and Life Institute Conferences.[14]

In 1974 the Kagyu Buddhist teacher Chögyam Trungpa predicted that "Buddhism will come to the West as psychology". This view was apparently regarded with considerable skepticism at the time, but Buddhist concepts have indeed made most in-roads in the psychological sciences. Some modern scientific theories, such as Rogerian psychology, show strong parallels with Buddhist thought. Some of the most interesting work on the relationship between Buddhism and science is being done in the area of comparison between Yogacara theories regarding the store consciousness and modern evolutionary biology, especially DNA. This is because the Yogacara theory of karmic seeds works well in explaining the nature/nurture problem.[15][16][17]

William James often drew on Buddhist cosmology when framing perceptual concepts, such as his term "stream of consciousness," which is the literal English translation of the Pali vinnana-sota. The "stream of consciousness" is given various names throughout the many languages of Buddhadharma discourse but in English is generally known as "Mindstream".[18] In Varieties of Religious Experience James also promoted the functional value of meditation for modern psychology.[19] He is said to have proclaimed in a course lecture at Harvard, "This is the psychology everybody will be studying twenty-five years from now."[20][21]

Buddhism as science

Buddhist teacher S.N. Goenka describes Buddhadharma as a 'pure science of mind and matter'.[22] He claims Buddhism uses precise, analytical philosophical and psychological terminology and reasoning.[citation needed] Goenka's presentation describes Buddhism not so much as belief in a body of unverifiable dogmas, but an active, impartial, objective investigation of things as they are.[citation needed]

What is generally accepted in Buddhism is that effects arise from causation. From his very first discourse onwards, the Buddha explains the reality of things in terms of cause and effect. The existence of misery and suffering in any given individual is due to the presence of causes. One way to describe the Buddhist eightfold path is a turning towards the reality of things as they are right now and understanding reality directly, although it is debated the degree to which these investigations are metaphysical or epistemological.

Zen master Thich Nhat Hanh has written the following on Buddhism and science:[23]
In Buddhism there are two kinds of truth: conventional truth (S: samvṛti-satya C: 俗諦) and ultimate truth (S: paramārtha-satya, C: 真諦). In the framework of the conventional truth, Buddhists speak of being and non-being, birth and death, coming and going, inside and outside, one and many, etc… and the Buddhist teaching and practice based on this framework helps reduce suffering, and bring more harmony and happiness. In the framework of the ultimate truth, the teaching transcends notions of being and non-being, birth and death, coming and going, inside and outside, one and many, etc… and the teaching and practice based on this insight help practitioners liberate themselves from discrimination, fear, and touch nirvana, the ultimate reality. Buddhists see no conflict between the two kinds of truth and are free to make good use of both frameworks.
Classical science, as seen in Newton’s theories, is built upon a framework reflecting everyday experience, in which material objects have an individual existence, and can be located in time and space. Quantum physics provides a framework for understanding how nature operates on subatomic scales, but differs completely from classical science, because in this framework, there is no such thing as empty space, and the position of an object and its momentum cannot simultaneously be precisely determined. Elementary particles fluctuate in and out of existence, and do not really exist but have only a “tendency to exist”.

Classical science seems to reflect the conventional truth and quantum physics seems to be on its way to discover the absolute truth, trying very hard to discard notions such as being and non-being, inside and outside, sameness and otherness, etc.… At the same time, scientists are trying to find out the relationship between the two kinds of truth represented by the two kinds of science, because both can be tested and applied in life.
In science, a theory should be tested in several ways before it can be accepted by the scientific community. The Buddha also recommended, in the Kālāma Sūtra1, that any teaching and insight given by any teacher should be tested by our own experience before it can be accepted as the truth. Real insight, or right view (S: samyag-dṛṣṭi, C: 正見), has the capacity to liberate, and to bring peace and happiness. The findings of science are also insight; they can be applied in technology, but can be applied also to our daily behavior to improve the quality of our life and happiness. Buddhists and scientists can share with each other their ways of studying and practice and can profit from each other’s insights and experience.

The practice of mindfulness and concentration always brings insight. It can help both Buddhists and scientists. Insights transmitted by realized practitioners like the Buddhas and bodhisattvas can be a source of inspiration and support for both Buddhist practitioners and scientists, and scientific tests can help Buddhist practitioners understand better and have more confidence in the insight they receive from their ancestral teachers. It is our belief that in this 21st Century, Buddhism and science can go hand in hand to promote more insight for us all and bring more liberation, reducing discrimination, separation, fear, anger, and despair in the world.

Buddhism and relativity

Buddhism shares with science the understanding of relativity. The relativity of phenomena is often used in Buddhist teaching to counter dogmatic or rigid views, such as the relativity of size to break the belief in "small" or "tall".[24][full citation needed] In Nāgārjuna's Treaty on the Middle Way, in the chapter 3 "Analysis of motion", it is even shown that motion has no independent existence and does not exists intrinsically, more than one millennium before Galileo who wrote: "Let us therefore set as a principle that, whatever be the motion that one attributes to the Earth, it is necessary that, for us who (...) partake of it, it remains perfectly imperceptible and as not being".

In the Heart Sutra, which presents the view of emptiness, it is said that phenomena have no "defining characteristics", which is a claim of relativity since, in the absence of a reference system, nothing can be said about anything and therefore objects have indeed no intrinsic characteristics. In this Sutra, it is also said that phenomena are "not decreasing nor increasing", which is in agreement with Noether's theorem showing that, because of relativity, there are conserved quantities in physics, like energy. Buddhism mainly focused on the emptiness aspect of objects whereas science developed more the relative aspect.

Buddhism and quantum physics

The Heart Sutra explains that: "Form is emptiness, Emptiness is form", which fits closely Nottale's theory of quantum physics, which asserts that matter and space are not different.

Notable scientists on Buddhism

Niels Bohr, who developed the Bohr Model of the atom, said,
For a parallel to the lesson of atomic theory...[we must turn] to those kinds of epistemological problems with which already thinkers like the Buddha and Lao Tzu have been confronted, when trying to harmonize our position as spectators and actors in the great drama of existence.[26]
Nobel Prize–winning philosopher Bertrand Russell described Buddhism as a speculative and scientific philosophy:
Buddhism is a combination of both speculative and scientific philosophy. It advocates the scientific method and pursues that to a finality that may be called Rationalistic. In it are to be found answers to such questions of interest as: 'What is mind and matter? Of them, which is of greater importance? Is the universe moving towards a goal? What is man's position? Is there living that is noble?' It takes up where science cannot lead because of the limitations of the latter's instruments. Its conquests are those of the mind.[27]
The American physicist J. Robert Oppenheimer made an analogy to Buddhism when describing the Heisenberg uncertainty principle:
If we ask, for instance, whether the position of the electron remains the same, we must say 'no;' if we ask whether the electron's position changes with time, we must say 'no;' if we ask whether the electron is at rest, we must say 'no;' if we ask whether it is in motion, we must say 'no.' The Buddha has given such answers when interrogated as to the conditions of man's self after his death; but they are not familiar answers for the tradition of seventeenth and eighteenth-century science.[28]
Nobel Prize–winning physicist Albert Einstein, who developed the general theory of relativity and the special theory of relativity, also known for his mass–energy equivalence, described Buddhism as containing a strong cosmic element:
...there is found a third level of religious experience, even if it is seldom found in a pure form. I will call it the cosmic religious sense. This is hard to make clear to those who do not experience it, since it does not involve an anthropomorphic idea of God; the individual feels the vanity of human desires and aims, and the nobility and marvelous order which are revealed in nature and in the world of thought. He feels the individual destiny as an imprisonment and seeks to experience the totality of existence as a unity full of significance. Indications of this cosmic religious sense can be found even on earlier levels of development—for example, in the Psalms of David and in the Prophets. The cosmic element is much stronger in Buddhism, as, in particular, Schopenhauer's magnificent essays have shown us. The religious geniuses of all times have been distinguished by this cosmic religious sense, which recognizes neither dogmas nor God made in man's image. Consequently there cannot be a church whose chief doctrines are based on the cosmic religious experience. It comes about, therefore, that we find precisely among the heretics of all ages men who were inspired by this highest religious experience; often they appeared to their contemporaries as atheists, but sometimes also as saints.[29]

Astronomical parallels and speculations

Several discourses that were attributed to the historical Buddha contain a remarkable resemblance to modern astronomical and cosmological claims denoted by modern scientific discovery. For instance, in the Andhakara Sutta, the Buddha mentions in a simile what seems to be an inter-worldly void, or possibly a black hole, as stated in the following excerpt:
"There is, monks, an inter-cosmic void, an unrestrained darkness, a pitch-black darkness, where even the light of the sun & moon — so mighty, so powerful — doesn't reach."[30]
Moreover, in an age when the geocentric model was the most prominent among the speculations regarding the universe, a different approach has been referenced in the Kosala Sutta whereby the historical Buddha talks about a multitude of cosmos, solar systems, continents, and alike, as it is mentioned:
As far as the sun & moon revolve, illumining the directions with their light, there extends the thousand-fold cosmos. In that thousand-fold cosmos there are a thousand moons, a thousand suns, a thousand Sunerus — kings of mountains; a thousand Rose-apple continents, a thousand Deathless Ox-cart [continents], a thousand northern Kuru [continents], a thousand eastern Videha [continents],...[31]
Another seemingly compelling cosmological supposition is evident throughout the discourses regarding a narration similar to the Cyclic model (Big Bang and Big Crunch theory) proposed by Albert Einstein, as it is found in the Maha-Saccaka Sutta and Dvedhavitakka Sutta out of several others, as stated:
When the mind was thus concentrated, purified, bright, unblemished, rid of defilement, pliant, malleable, steady, & attained to imperturbability, I directed it to the knowledge of recollecting my past lives. I recollected my manifold past lives, i.e., one birth, two... five, ten... fifty, a hundred, a thousand, a hundred thousand, many eons of cosmic contraction, many eons of cosmic expansion, many eons of cosmic contraction & expansion...[32][33][34]
Out of the many eschatological proclamations made by the various religions and sects around the world, the one found in the Pali Canon matches closest to modern cosmological claims of how the Earth would most probably be destroyed. As mentioned in a sermon known by the "Sermon of the Seven Suns" in the Satta Suriya Sutta ( Aňguttara-Nikăya, VII, 6.2), the earth would be destroyed after a very long time due to the gradual demise of the Solar system, ending with the gradual vaporization of the oceans, culminating with an ablaze Earth, paralleling the death of the Sun turning into a red giant.

The first 2D microprocessor — based on a layer of just 3 atoms

May one day replace traditional microprocessor chips as well as open up new applications in flexible electronics
April 24, 2017
Original link:  http://www.kurzweilai.net/the-first-2d-microprocessor-based-on-a-layer-of-just-3-atoms
Overview of the entire chip. AC = Accumulator, internal buffer; PC = Program Counter, points at the next instruction to be executed; IR = Instruction Register, used to buffer data- and instruction-bits received from the external memory; CU = Control Unit, orchestrates the other units according to the instruction to be executed; OR = Output Register, memory used to buffer output-data; ALU = Arithmetic Logic Unit, does the actual calculations. (credit: TU Wien)

Researchers at Vienna University of Technology (known as TU Wien) in Vienna, Austria, have developed the world’s first two-dimensional microprocessor — the most complex 2D circuitry so far. Microprocessors based on atomically thin 2D materials promise to one day replace traditional microprocessors as well as open up new applications in flexible electronics.

Consisting of 115 transistors, the microprocessor can run, simple user-defined programs stored in an external memory, perform logical operations, and communicate with peripheral devices. The microprocessor is based on molybdenum disulphide (MoS2), a three-atoms-thick 2D semiconductor transistor layer consisting of molybdenum and sulphur atoms, with a surface area of around 0.6 square millimeters.

Schematic drawing of an inverter (“NOT” logic) circuit (top) and an individual MoS2 transistor (bottom) (credit: Stefan Wachter et al./Nature Communications)

For demonstration purposes, the microprocessor is currently a 1-bit design, but it’s scalable to a multi-bit design using industrial fabrication methods, says Thomas Mueller, PhD., team leader and senior author of an open-access paper on the research published in Nature Communications.*

New sensors and flexible displays

Two-dimensional materials are flexible, making future 2D microprocessors and other integrated circuits ideal for uses such as medical sensors and flexible displays. They promise to extend computing to the atomic level, as silicon reaches its physical limits.

However, to date, it has only been possible to produce individual 2D digital components using a few transistors. The first 2D MoS2 transistor with a working 1-nanometer (nm) gate was created in October 2016 by a team led by Lawrence Berkeley National Laboratory (Berkeley Lab) scientists, as KurzweilAI reported.

Mueller said much more powerful and complex circuits with thousands or even millions of transistors will be required for this technology to have practical applications. Reproducibility continues to be one of the biggest challenges currently being faced within this field of research, along with the yield in the production of the transistors used, he explained.

* “We also gave careful consideration to the dimensions of the individual transistors,” explains Mueller. “The exact relationships between the transistor geometries within a basic circuit component are a critical factor in being able to create and cascade more complex units. … the major challenge that we faced during device fabrication is yield. Although the yield for subunits was high (for example, ∼80% of ALUs were fully functional), the sheer complexity of the full system, together with the non-fault tolerant design, resulted in an overall yield of only a few per cent of fully functional devices. Imperfections of the MoS2 film, mainly caused by the transfer from the growth to the target substrate, were identified as main source for device failure. However, as no metal catalyst is required for the synthesis of TMD films, direct growth on the target substrate is a promising route to improve yield.



Abstract of A microprocessor based on a two-dimensional semiconductor

The advent of microcomputers in the 1970s has dramatically changed our society. Since then, microprocessors have been made almost exclusively from silicon, but the ever-increasing demand for higher integration density and speed, lower power consumption and better integrability with everyday goods has prompted the search for alternatives. Germanium and III–V compound semiconductors are being considered promising candidates for future high-performance processor generations and chips based on thin-film plastic technology or carbon nanotubes could allow for embedding electronic intelligence into arbitrary objects for the Internet-of-Things. Here, we present a 1-bit implementation of a microprocessor using a two-dimensional semiconductor—molybdenum disulfide. The device can execute user-defined programs stored in an external memory, perform logical operations and communicate with its periphery. Our 1-bit design is readily scalable to multi-bit data. The device consists of 115 transistors and constitutes the most complex circuitry so far made from a two-dimensional material.

Lie point symmetry

From Wikipedia, the free encyclopedia https://en.wikipedia.org/wiki/Lie_point_symmetry     ...