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Archive for the ‘mathematics’ category: Page 10

Nov 24, 2023

The Future of Biology: Decoding Cell and Tissue Mechanics in 3D With Active Matter Theory

Posted by in categories: biological, information science, mathematics, supercomputing

Open-source supercomputer algorithm predicts patterning and dynamics of living materials and enables studying their behavior in space and time.

Biological materials are made of individual components, including tiny motors that convert fuel into motion. This creates patterns of movement, and the material shapes itself with coherent flows by constant consumption of energy. Such continuously driven materials are called “active matter.” The mechanics of cells and tissues can be described by active matter theory, a scientific framework to understand shape, flows, and form of living materials. The active matter theory consists of many challenging mathematical equations.

Scientists from the Max Planck Institute of Molecular Cell.

Nov 23, 2023

Unlocking the Secrets of Life: Scientists Solve Century-Old Biological Mysteries With Active Matter Theory

Posted by in categories: biological, information science, mathematics, supercomputing

An open-source advanced supercomputer algorithm predicts the patterning and dynamics of living materials, allowing for the exploration of their behaviors across space and time.

Biological materials consist of individual components, including tiny motors that transform fuel into motion. This process creates patterns of movement, leading the material to shape itself through coherent flows driven by constant energy consumption. These perpetually driven materials are called “active matter.”

The mechanics of cells and tissues can be described by active matter theory, a scientific framework to understand the shape, flows, and form of living materials. The active matter theory consists of many challenging mathematical equations.

Nov 22, 2023

First experimental evidence of hopfions in crystals: Research opens up new dimension for future technology

Posted by in categories: mathematics, particle physics

Hopfions, magnetic spin structures predicted decades ago, have become a hot and challenging research topic in recent years. In a study published in Nature, the first experimental evidence is presented by a Swedish-German-Chinese research collaboration.

“Our results are important from both a fundamental and applied point of view, as a new bridge has emerged between and abstract , potentially leading to hopfions finding an application in spintronics,” says Philipp Rybakov, researcher at the Department of Physics and Astronomy at Uppsala University, Sweden.

A deeper understanding of how different components of materials function is important for the development of innovative materials and future technology. The research field of spintronics, for example, which studies the spin of electrons, has opened up promising possibilities to combine the electrons’ electricity and magnetism for applications such as new electronics.

Nov 21, 2023

New computer code for mechanics of tissues and cells in three dimensions

Posted by in categories: biological, genetics, information science, mathematics, supercomputing

Biological materials are made of individual components, including tiny motors that convert fuel into motion. This creates patterns of movement, and the material shapes itself with coherent flows by constant consumption of energy. Such continuously driven materials are called active matter.

The mechanics of cells and tissues can be described by active matter theory, a scientific framework to understand the shape, flow, and form of living materials. The active matter theory consists of many challenging mathematical equations.

Scientists from the Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG) in Dresden, the Center for Systems Biology Dresden (CSBD), and the TU Dresden have now developed an algorithm, implemented in an open-source supercomputer code, that can for the first time solve the equations of active matter theory in realistic scenarios.

Nov 19, 2023

The origins of the black hole information paradox

Posted by in categories: cosmology, information science, mathematics, quantum physics

While physics tells us that information can neither be created nor destroyed (if information could be created or destroyed, then the entire raison d’etre of physics, that is to predict future events or identify the causes of existing situations, would be impossible), it does not demand that the information be accessible. For decades physicists assumed that the information that fell into a black hole is still there, still existing, just locked away from view.

This was fine, until the 1970s when Stephen Hawking discovered the secret complexities of the event horizon. It turns out that these dark beasts were not as simple as we had been led to believe, and that the event horizons of are one of the few places in the entire cosmos where meets quantum mechanics in a manifest way.

Continue reading “The origins of the black hole information paradox” »

Nov 19, 2023

Are We Actually Living in a Multiverse? The Basic Math May Be Wrong

Posted by in categories: alien life, mathematics, particle physics

One of the most startling scientific discoveries of recent decades is that physics appears to be fine-tuned for life. This means that for life to be possible, certain numbers in physics had to fall within a certain, very narrow range.

One of the examples of fine-tuning which has most baffled physicists is the strength of dark energy, the force that powers the accelerating expansion of the universe.

If that force had been just a little stronger, matter couldn’t clump together. No two particles would have ever combined, meaning no stars, planets, or any kind of structural complexity, and therefore no life.

Nov 19, 2023

Mathematicians Found 12,000 Solutions to the Notoriously Hard Three-Body Problem

Posted by in category: mathematics

Understanding the orbital dance of three celestial objects has challenged mathematicians for centuries. Now, the game has changed.

Nov 19, 2023

Mathematicians Have Found The Ninth Dedekind Number, After 32 Years of Searching

Posted by in categories: mathematics, supercomputing

Undeterred after three decades of looking, and with some assistance from a supercomputer, mathematicians have finally discovered a new example of a special integer called a Dedekind number.

Only the ninth of its kind, or D, it is calculated to equal 286 386 577 668 298 411 128 469 151 667 598 498 812 366, if you’re updating your own records. This 42 digit monster follows the 23-digit D discovered in 1991.

Grasping the concept of a Dedekind number is difficult for non-mathematicians, let alone working it out. In fact, the calculations involved are so complex and involve such huge numbers, it wasn’t certain that D would ever be discovered.

Nov 18, 2023

Vanishing Act for Water Waves

Posted by in categories: energy, mathematics

Cavities at the sides of a water channel can cause waves to be completely absorbed, suggesting new techniques for protecting coastlines.

If waves of water, light, or sound were to impinge upon a hypothetical object called a perfect absorber, they would be neither reflected nor transmitted; they would simply vanish. Researchers have now demonstrated perfect absorption using ordinary water waves traveling down a narrow channel [1]. The waves are canceled out by their own reflections from cavities built into the side of the channel. With further development, the researchers believe that the effect could be used to reduce erosion or protect sensitive structures by using an array of elements deployed near coastlines.

“We were motivated by the need to control or absorb waves in rivers or to protect coastlines,” says mathematical physicist Agnes Maurel of ESPCI Paris. “Completely absorbing wave energy is even better than redirecting it, and you can also imagine perhaps harvesting such energy.”

Nov 16, 2023

At Long Last, Mathematicians Have Found a Shape With a Pattern That Never Repeats

Posted by in category: mathematics

Experts have searched for decades for a polygon that only makes non-repeating patterns. But no one knew it was possible until now.

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