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Jan 9, 2025

Mathematical methods point to possibility of particles long thought impossible

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

From the early days of quantum mechanics, scientists have thought that all particles can be categorized into one of two groups—bosons or fermions—based on their behavior.

However, new research by Rice University physicist Kaden Hazzard and former Rice graduate student Zhiyuan Wang shows the possibility of particles that are neither bosons nor fermions. Their study, published in Nature, mathematically demonstrates the potential existence of paraparticles that have long been thought impossible.

“We determined that new types of particles we never knew of before are possible,” said Hazzard, associate professor of physics and astronomy.

Jan 8, 2025

#Quantum

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

Beyond fermions and bosons: unveiling new particle behaviors in mechanics.

In the world, particles traditionally fall into two categories: fermions (like electrons) and bosons (like photons), each obeying distinct exchange rules. These “exchange statistics” shape the behaviors of particles, from the structure of atoms to the glow of lasers. In two dimensions, a peculiar third type, called anyons, has been theorized and observed, adding a twist to this framework. But could there be even more possibilities?

This study ventures into uncharted territory by revisiting “parastatistics,” an idea from theory that goes beyond fermions and bosons. Previously dismissed as merely theoretical and equivalent to the known particle types, parastatistics now emerges in a new light. The researchers reveal that particles obeying non-trivial parastatistics can exist in real physical systems and behave in fundamentally different ways. These “paraparticles” follow unique rules of exclusion, resulting in strange and exotic thermodynamic behaviors unlike any seen in fermions or bosons.

Continue reading “#Quantum” »

Jan 8, 2025

2025 Regeneron STS Scholars

Posted by in categories: education, mathematics

proudly announces the top 300 scholars in the Regeneron Science Talent Search 2025, the nation’s oldest and most prestigious science and math competition for high school seniors. The Regeneron Science Talent Search provides students a national stage to present original research and celebrates the hard work and novel discoveries of young scientists who are bringing a fresh perspective to significant global challenges. The 300 scholars and their schools will be awarded $2,000 each.

Scholars were chosen based on their outstanding research, leadership skills, community involvement, commitment to academics, creativity in asking scientific questions and exceptional promise as STEM leaders demonstrated through the submission of their original, independent research projects, essays and recommendations. The 300 scholars hail from 200 American and international high schools and homeschools in 33 states, Washington D.C., Hong Kong, Malaysia, and Switzerland.

Jan 8, 2025

AI Breakthrough Solves Supercomputer Math on Desktop PCs in Seconds

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

A breakthrough in artificial intelligence.

Artificial Intelligence (AI) is a branch of computer science focused on creating systems that can perform tasks typically requiring human intelligence. These tasks include understanding natural language, recognizing patterns, solving problems, and learning from experience. AI technologies use algorithms and massive amounts of data to train models that can make decisions, automate processes, and improve over time through machine learning. The applications of AI are diverse, impacting fields such as healthcare, finance, automotive, and entertainment, fundamentally changing the way we interact with technology.

Jan 7, 2025

Quantum simulators: When nature reveals its natural laws

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

Quantum physics is a very diverse field: it describes particle collisions shortly after the Big Bang as well as electrons in solid materials or atoms far out in space. But not all quantum objects are equally easy to study. For some—such as the early universe—direct experiments are not possible at all.

However, in many cases, quantum simulators can be used instead: one quantum system (for example, a cloud of ultracold atoms) is studied in order to learn something about another system that looks physically very different, but still follows the same laws, i.e. adheres to the same mathematical equations.

It is often difficult to find out which equations determine a particular quantum system. Normally, one first has to make theoretical assumptions and then conduct experiments to check whether these assumptions prove correct.

Jan 7, 2025

Your Brain Is Like a Computer: Function, Analogy, Simplification

Posted by in categories: computing, mathematics, neuroscience

The relationship between brain and computer is a perennial theme in theoretical neuroscience, but it has received relatively little attention in the philosophy of neuroscience. This paper argues that much of the popularity of the brain-computer comparison (e.g. circuit models of neurons and brain areas since McCulloch and Pitts, Bull Math Biophys 5: 115–33, 1943) can be explained by their utility as ways of simplifying the brain. More specifically, by justifying a sharp distinction between aspects of neural anatomy and physiology that serve information-processing, and those that are ‘mere metabolic support,’ the computational framework provides a means of abstracting away from the complexities of cellular neurobiology, as those details come to be classified as irrelevant to the (computational) functions of the system.

Jan 6, 2025

Jacob Bernoulli

Posted by in categories: education, mathematics, physics

Jacob Bernoulli returned to Switzerland and taught mechanics at the University in Basel from 1,683, giving a series of important lectures on the mechanics of solids and liquids. Since his degree was in theology it would have been natural for him to turn to the Church, but although he was offered an appointment in the Church he turned it down. Bernoulli’s real love was for mathematics and theoretical physics and it was in these topics that he taught and researched. During this period he studied the leading mathematical works of his time including DescartesGéométrie and van Schooten’s additional material in the Latin edition. Jacob Bernoulli also studied the work of Wallis and Barrow and through these he became interested in infinitesimal geometry. Jacob began publishing in the journal Acta Eruditorum which was established in Leipzig in 1682.

In 1,684 Jacob Bernoulli married Judith Stupanus. They were to have two children, a son who was given his grandfather’s name of Nicolaus and a daughter. These children, unlike many members of the Bernoulli family, did not go on to become mathematicians or physicists.

You can see the Bernoulli family tree at THIS LINK.

Jan 5, 2025

Sebastian Schepis

Posted by in categories: mathematics, media & arts, neuroscience

Read writing from Sebastian Schepis on Medium. Software engineer, CTO, Co-Pi@Daigle Labs, mystic, meditator, father, friend. My interests include consciousness, prime numbers, math, music, people, nature.

Jan 3, 2025

How does a hula hoop master gravity? Mathematicians prove that body shape matters

Posted by in categories: mathematics, physics, robotics/AI

Hula hooping is so commonplace that we may overlook some interesting questions it raises: “What keeps a hula hoop up against gravity?” and “Are some body types better for hula hooping than others?” A team of mathematicians explored and answered these questions with findings that also point to new ways to better harness energy and improve robotic positioners.

The results are the first to explain the physics and mathematics of hula hooping.

“We were specifically interested in what kinds of body motions and shapes could successfully hold the hoop up and what physical requirements and restrictions are involved,” explains Leif Ristroph, an associate professor at New York University’s Courant Institute of Mathematical Sciences and the senior author of the paper, which appears in the Proceedings of the National Academy of Sciences.

Jan 2, 2025

Researchers take a glimpse at the structure of rare tetraquarks

Posted by in categories: mathematics, particle physics

A new study explores tetraquarks, predicts new exotic particles, and offers deeper insights into their complex structure and behavior.

A new study offers significant advancements in the understanding of tetraquarks — a rare and complex type of particle.

By developing a new approach that combines advanced mathematical methods with a simpler model of how particles interact, the researchers have made important discoveries about the inner structure and mass of these particles.

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