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Archive for the ‘mathematics’ category: Page 14

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.

Jun 2, 2024

Mathematicians Attempt to Glimpse Past the Big Bang

Posted by in categories: cosmology, mathematics

By studying the geometry of model space-times, researchers offer alternative views of the universe’s first moments.

May 30, 2024

New device precisely controls photon emission for more efficient portable screens

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

Recently, a team of chemists, mathematicians, physicists and nano-engineers at the University of Twente in the Netherlands developed a device to control the emission of photons with unprecedented precision. This technology could lead to more efficient miniature light sources, sensitive sensors, and stable quantum bits for quantum computing.

May 30, 2024

The I.Q. of GPT4 is 124 approx

Posted by in categories: biotech/medical, mathematics

GPT4 can score better than 95% of the average human on aptitude tests.

The GPT-4 language model recently completed the Scholastic Aptitude Test (SAT), achieving a verbal score of 710 and a math score of 690, resulting in a combined score of 1400. Based on U.S. norms, this corresponds to a verbal IQ of 126, a math IQ of 126, and a full-scale IQ of 124. If taken at face value, one might conclude that GPT-4 surpasses 95% of the American population in intelligence and is approximately as intelligent as the average doctoral degree holder, medical doctor, or attorney.

However, the question remains: Is administering an IQ test to GPT-4 a valid undertaking or a significant categorization mistake?

May 28, 2024

Hayato Saigo (Nagahama bio Univ.) Mathematical Principles of Consciousness Science

Posted by in categories: mathematics, neuroscience, quantum physics, science

Noncommutative probability and categorical structure Quantum-like revolut…

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