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Archive for the ‘mathematics’ category: Page 16

Jun 7, 2024

Quantum Pioneers: How Magnetic Quivers Are Rewriting the Rules of Particle Physics

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

A simple concept of decay and fission of “magnetic quivers” helps to clarify complex quantum physics and mathematical structures.

Researchers employed magnetic quivers to delve into the fundamentals of quantum physics, specifically through the lens of supersymmetric quantum field theories. They have provided a novel interpretation of the Higgs mechanism, illustrating how particles gain mass and the potential decay and fission within QFTs.

Pioneering Quantum Physics Study

Jun 7, 2024

Brian Greene — What Was There Before The Big Bang?

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

The American theoretical physicist, Brian Greene explains various hypotheses about the causation of the big bang. Brian Greene is an excellent science communicator and he makes complex cosmological concepts more easy to understand.

The Big Bang explains the evolution of the universe from a starting density and temperature that is currently well beyond humanity’s capability to replicate. Thus the most extreme conditions and earliest times of the universe are speculative and any explanation for what caused the big bang should be taken with a grain of salt. Nevertheless that shouldn’t stop us to ask questions like what was there before the big bang.

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Jun 6, 2024

Maze Proof Establishes a ‘Backbone’ for Statistical Mechanics

Posted by in category: mathematics

Four mathematicians have estimated the chances that there’s a clear path through a random maze.

Jun 6, 2024

What’s Wrong with Symbolic Logic?

Posted by in categories: computing, mathematics, neuroscience

Actually, nothing is wrong with it if you are a computer science major. It’s just that it has no place in the philosophy department.

From the point of anyone wanting to work in natural language, symbolic logic has all of the vices of mathematics and none of its virtues. That is, it is obscure to the point of incomprehensibility (given the weak neurons of this English major at any rate), and it leads to no useful outcome in the domain of human affairs. This would not be so bad were it not for all those philosophy major curricula that ask freshmen to take a course in it as their “introduction” to philosophy. For anyone looking to explore the meaning of life, this is a complete turnoff.

What were the philosophy mavens thinking?

Jun 6, 2024

Are white holes dawning at last?

Posted by in categories: cosmology, mathematics, quantum physics

As opposed to black holes, white holes are thought to eject matter and light while never absorbing any. Detecting these as yet hypothetical objects could not only provide evidence of quantum gravity but also explain the origin of dark matter.

No one today questions the existence of black holes, objects from which nothing, not even light, can escape. But after they were first predicted in 1915 by Einstein’s general theory of relativity, it took many decades and multiple observations to show that they actually existed. And when it comes to white holes, history may well repeat itself. Such objects, which are also predicted by general relativity, can only eject matter and light, and as such are the exact opposite of black holes, which can only absorb them. So, just as it is impossible to escape from a black hole, it is equally impossible to enter a white one, occasionally and perhaps more aptly dubbed a “white fountain”. For many, these exotic bodies are mere mathematical curiosities.

Jun 6, 2024

Google DeepMind used a large language model to solve an unsolved math problem

Posted by in categories: mathematics, robotics/AI

They had to throw away most of what it produced but there was gold among the garbage.

Jun 5, 2024

Flapping frequency of birds, insects, bats and whales predicted with just body mass and wing area

Posted by in categories: information science, mathematics

A single universal equation can closely approximate the frequency of wingbeats and fin strokes made by birds, insects, bats and whales, despite their different body sizes and wing shapes, Jens Højgaard Jensen and colleagues from Roskilde University in Denmark report in a new study published in PLOS ONE on June 5.

The ability to fly has evolved independently in many different animal groups. To minimize the energy required to fly, biologists expect that the that animals flap their wings should be determined by the natural resonance frequency of the wing. However, finding a universal mathematical description of flapping flight has proved difficult.

Researchers used dimensional analysis to calculate an equation that describes the frequency of wingbeats of flying birds, insects and bats, and the fin strokes of diving animals, including penguins and whales.

Jun 4, 2024

CMSP series of lectures on “Topology and dynamics of higher-order networks”: lecture 3

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

ICTP lectures “Topology and dynamics of higher-order networks”

- Network topology: 1 https://youtube.com/watch?v=mbmsv9RS3Pc

Continue reading “CMSP series of lectures on ‘Topology and dynamics of higher-order networks’: lecture 3” »

Jun 3, 2024

Reinterpreting the Higgs mechanism: Decay and fission of ‘magnetic quivers’ could clarify quantum structures

Posted by in categories: mathematics, quantum physics

A simple concept of decay and fission of “magnetic quivers” helps to clarify complex quantum physics and mathematical structures.

Jun 2, 2024

How we can understand our universe through math

Posted by in category: mathematics

An essay by Steve Nadis and Shing-Tung Yau describes how math helps us imagine the cosmos around us in new ways.

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