a-once-in-a-century-proof:-the-kakeya-conjecture

A simple question about a spinning needle has haunted mathematicians for more than a century. It led to the Kakeya conjecture, a cornerstone of modern analysis connecting geometry, fractals, and the behavior of waves. Now, mathematicians Hong Wang and Joshua Zahl have cracked the 3D case — a once-in-a-generation breakthroughContinue Reading

the-powerful-fourier-transform-#math-#science

The Fourier transform is a fundamental mathematical tool that breaks complex waveforms into their basic frequency components. Widely used in science and engineering, it underpins technologies from JPEG image compression to MRI scans. ——— – VISIT our website: https://www.quantamagazine.org – LIKE us on Facebook: / quantanews – FOLLOW us Twitter:Continue Reading

what-is-the-true-promise-of-quantum-computing?-|-podcast:-the-joy-of-why

Despite the hype, it’s been surprisingly challenging to find quantum algorithms that outperform classical ones. In this episode, UC Berkeley computer scientist, Ewin Tang, discusses her pioneering work in “dequantizing” quantum algorithms and what it means for the future of quantum computing. “The Joy of Why” is a Quanta MagazineContinue Reading

how-to-‘see’-the-4th-dimension-with-topology

Mathematician Maggie Miller explores the strange and fascinating world of 4D topology — the study of shapes, or manifolds, that resemble flat Euclidean space when viewed up close. Four-dimensional manifolds behave in unexpectedly complex ways, pushing mathematicians to develop advanced techniques to understand them. Maggie Miller is an assistant professorContinue Reading

how-did-multicellular-life-evolve?-|-podcast:-the-joy-of-why

One of the most important events in the history of life on Earth was the emergence of multicellularity. In this episode, Will Ratcliff discusses how his snowflake yeast models provide insight into what drove the transition from single-celled to multicellular organisms. S04E01 Will Ratcliff at Georgia Tech has been conductingContinue Reading

how-eclipses-work:-solving-the-three-body-problem-#science-#physics

Nearly 3,000 years ago, the ancient Babylonians began one of the longest-running science experiments in history. The goal: to predict eclipses. This singular aim has driven innovation across the history of science and mathematics, from the Saros cycle, to Greek geometry, to Newton’s calculus, to the three-body problem. Today, eclipseContinue Reading

is-information-a-fundamental-force-of-the-universe?

Researchers Robert Hazen and Michael Wong have put forward a bold new law of nature — one that could explain how everything in the universe evolves, from atoms, minerals and stars to living cells, ecosystems and even human civilization. At the heart of their theory is the idea that informationContinue Reading

luca:-our-last-universal-common-ancestor-#biology-#science

An interdisciplinary group applied the latest tricks of phylogenetics — using genes and genomes to build evolutionary trees — to trace all of modern life back to our shared ancestor. This ancient cell, or population of cells, is known as LUCA, which stands for “last universal common ancestor,” the oneContinue Reading

mirror-molecules:-the-symmetry-rule-life-never-breaks

Most organic molecules have a mirror-image twin. This concept is known as chirality. Yet life only uses one chiral molecule, not the other. The reason for this asymmetry is one of the greatest mysteries of biology. From Louis Pasteur to stereochemistry to the concept of mirror life, here is theContinue Reading

amateurs-solve-a-famous-computer-science-problem-on-discord

A team of amateurs recently came together in an online collaboration called the Busy Beaver Challenge to pin down the value of BB(5), the fifth “busy beaver” number — a notoriously difficult problem in theoretical computer science. The busy beaver problem, or “game,” involves finding the Turing machine with aContinue Reading

what-is-a-turing-machine?-#computerscience-#science

In 1936, a 23-year-old British mathematician named Alan Turing revolutionized the future of computer science. While exploring the foundations of mathematics, Turing introduced a groundbreaking idea: a machine capable of computing any sequence—given enough time and memory. These theoretical devices, now known as Turing Machines, laid the foundation for modernContinue Reading