Archive for the ‘mathematics’ category: Page 46

Jul 15, 2019

Physicists Reverse Time for Tiny Particles Inside a Quantum Computer

Posted by in categories: computing, mathematics, particle physics, quantum physics

Time goes in one direction: forward. Little boys become old men but not vice versa; teacups shatter but never spontaneously reassemble. This cruel and immutable property of the universe, called the “arrow of time,” is fundamentally a consequence of the second law of thermodynamics, which dictates that systems will always tend to become more disordered over time. But recently, researchers from the U.S. and Russia have bent that arrow just a bit — at least for subatomic particles.

In the new study, published Tuesday (Mar. 12) in the journal Scientific Reports, researchers manipulated the arrow of time using a very tiny quantum computer made of two quantum particles, known as qubits, that performed calculations. [Twisted Physics: 7 Mind-Blowing Findings]

At the subatomic scale, where the odd rules of quantum mechanics hold sway, physicists describe the state of systems through a mathematical construct called a wave function. This function is an expression of all the possible states the system could be in — even, in the case of a particle, all the possible locations it could be in — and the probability of the system being in any of those states at any given time. Generally, as time passes, wave functions spread out; a particle’s possible location can be farther away if you wait an hour than if you wait 5 minutes.

Jul 13, 2019

The biological computer is an implantable device that is mainly used for tasks like monitoring the body’s activities or inducing therapeutic effects

Posted by in categories: biotech/medical, chemistry, computing, mathematics

The biological computer is an implantable device that is mainly used for tasks like monitoring the body’s activities or inducing therapeutic effects, all at the molecular or cellular level. This is made up of RNA, DNA and proteins and can also perform simple mathematical calculations.

DNA computing is a branch of computing which uses DNA, biochemistry, and molecular biology hardware, instead of the traditional silicon-based computer technologies. Research and development in this area concerns theory, experiments, and applications of DNA computing.…/finally-a-dna-computer-that-can-ac…/

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Jul 12, 2019

Strange warping geometry helps to push scientific boundaries

Posted by in categories: computing, mathematics, particle physics, space, transportation

Atomic interactions in everyday solids and liquids are so complex that some of these materials’ properties continue to elude physicists’ understanding. Solving the problems mathematically is beyond the capabilities of modern computers, so scientists at Princeton University have turned to an unusual branch of geometry instead.

Researchers led by Andrew Houck, a professor of electrical engineering, have built an electronic array on a microchip that simulates in a hyperbolic plane, a geometric surface in which space curves away from itself at every point. A hyperbolic plane is difficult to envision—the artist M.C. Escher used in many of his mind-bending pieces—but is perfect for answering questions about particle interactions and other challenging mathematical questions.

The research team used superconducting circuits to create a lattice that functions as a hyperbolic space. When the researchers introduce photons into the lattice, they can answer a wide range of difficult questions by observing the photons’ interactions in simulated hyperbolic space.

Jul 5, 2019

The Born Rule Has Been Derived From Simple Physical Principles

Posted by in categories: mathematics, quantum physics

The Born rule, which connects the math of quantum theory to the outcomes of experiments, has been derived from simpler physical principles. The new work promises to give researchers a better grip on the core mystery of quantum mechanics.

Jul 5, 2019

The Mathematics of Evolution: Q&A with Biologist Marcus Feldman

Posted by in categories: evolution, mathematics

Feldman creates mathematical models that reveal how cultural traditions can affect the evolution of a species.

  • By Elizabeth Svoboda, Quanta Magazine on January 12, 2017

Jul 3, 2019

Robert Edward Grant Photo

Posted by in categories: energy, mathematics

Dr. Dee J. Nelson and his wife Geo, produced a Kirlian photograph of Pyramid energy using a Tesla Coil in 1979.

We have confirmed that the Great Pyramid encodes over 80 Mathematical and Physical constants (including but not limited to Pi, E, a, Phi, Y, Planck Length, Planck Time, and even math constants only discovered in the last century like Brun’s Constant and Tribonacci), our metric and imperial measurement systems (including Meter, Foot, Mile, Nautical Mile, and the ancient Sacred Egyptian Cubit), and even the Speed of Light in BOTH its Longitude and Latitude positions…and all with astounding accuracy.

Image and content from “The Etymology of Number” Course in Resonance Academy

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Jul 3, 2019

Can mathematics help us understand the complexity of our microbiome?

Posted by in categories: biological, health, mathematics

How do the communities of microbes living in our gastrointestinal systems affect our health? Carnegie’s Will Ludington was part of a team that helped answer this question.

For nearly a century, have probed how genes encode an individual’s chances for success—or fitness—in a specific environment.

In order to reveal a potential evolutionary trajectory biologists measure the interactions between genes to see which combinations are most fit. An organism that is evolving should take the most fit path. This concept is called a fitness landscape, and various mathematical techniques have been developed to describe it.

Jul 2, 2019

Math can help uncover cancer’s secrets

Posted by in categories: biotech/medical, information science, mathematics

Irina Kareva translates biology into mathematics and vice versa. She writes mathematical models that describe the dynamics of cancer, with the goal of developing new drugs that target tumors. “The power and beauty of mathematical modeling lies in the fact that it makes you formalize, in a very rigorous way, what we think we know,” Kareva says. “It can help guide us to where we should keep looking, and where there may be a dead end.” It all comes down to asking the right question and translating it to the right equation, and back.

Jul 2, 2019

Drones and AI used to enhance lost person search and rescue

Posted by in categories: drones, information science, mathematics, robotics/AI

Thanks to a $1.5 million grant from the National Science Foundation, a group of Virginia Tech engineers hopes to redefine these search and rescue protocols by teaming up human searchers with unmanned aerial robots, or drones.

In efforts led by Ryan Williams, an assistant professor in the Bradley Department of Electrical and Computer Engineering within the College of Engineering, these drones will use autonomous algorithms and machine learning to complement search and rescue efforts from the air. The drones will also suggest tasks and send updated information to human searchers on the ground.

Using mathematical models based on historical data that reflect what lost people actually do combined with typical searcher behavior, the researchers hope this novel approach of balancing autonomy with human collaboration can make searches more effective. The team has received support from the Virginia Department of Emergency Management and will work closely with the local Black Diamond Search and Rescue Council throughout the project.

Jul 1, 2019

Study unveils new supersymmetry anomalies in superconformal quantum field theories

Posted by in categories: mathematics, particle physics, quantum physics

Researchers at the University of Southampton and the Korea Institute for Advanced Study have recently showed that supersymmetry is anomalous in N=1 superconformal quantum field theories (SCFTs) with an anomalous R symmetry. The anomaly described in their paper, published in Physical Review Letters, was previously observed in holographic SCFTs at strong coupling, yet their work confirms that it is already present in the simplest free STFCs.

“Supersymmetry is a symmetry that relates particles with integer and half-integer spin, and has played a central role in many advances in since its discovery,” Kostas Skenderis, one of the researchers who carried out the study, told “It has been used as a means to understand the behavior of strongly interacting where our usual theoretical tools () are not applicable, as well as in some of the main candidates for beyond the Standard Model physics.”

Supersymmetry underlies the mathematical consistency of string theory, which is the most complete theory of gravity proposed so far. A quantum anomaly, such as that observed by the researchers, is essentially the failure of a symmetry to be preserved at a quantum level. These anomalies typically come in two types: “bad” ones, which render string theory mathematically inconsistent and “healthy” ones, which capture important quantum properties of the theory.

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