In the language of pure math, symmetry is not a decorative flourish but a guiding compass. A new study led by D. Zhangazinova and A. Naurazbekova of L. N. Gumilyov Eurasian National University in Astana, with U. Umirbaev of Wayne State University and the Institute of Mathematics and Mathematical Modeling in Almaty, explores a daring…
The idea of a GCD is as familiar as a clock on the wall: you look at two numbers and you notice what they share. But the paper by Projesh Nath Choudhury and Krushnachandra Panigrahy from the Indian Institute of Technology Gandhinagar takes that simple arithmetic idea and stretches it into a new shape, a…
Design happens at the intersection of imagination and interface. The moment of prototyping is where an idea begins to take shape as something others can test, critique, and adopt. But the tools designers rely on—digital canvases, low-fidelity mockups, whiteboards, or paper sketches—carry invisible assumptions about who is allowed to speak up, what senses can be…
The night sky used to be a shared canvas for stargazers, poets, and researchers alike—an emptiness that didn’t compete with the day’s signal but whispered with the faint light of distant suns. Then came the constellation town square: thousands of artificial lights stitched into orbit, looping above our heads like a swarm of neon fireflies….
The networks we rely on are built from something far less glamorous than fiber and routers: abstract graphs that map how things connect and reroute when trouble hits. In practice, that means asking questions about resilience—how many independent routes can survive when some parts fail, and how those routes weave through a network without stepping…
In the world of 3D reconstruction, a cloud of glowing blobs can capture a scene in beautiful, view-dependent color and light. It can render quickly from new viewpoints, which is why researchers love Gaussian Splatting as a way to model scenes from images. But there’s a stubborn problem behind the gloss: turning that volumetric glow…
A Harmonic Polynomial Vanishes on a Cube’s Skeleton Harmonic functions are the quiet workhorses of potential theory: heat, gravity, and electrical fields blend into smooth, source-free shapes that obey Laplace’s equation. Their zeros—the places where the function hits zero—often feel like the hidden skeletons of these fields, revealing where a system can settle into calm…
The world of magnets is full of familiar headlines: ferromagnets with a neat alignment of spins, or antiferromagnets where neighboring spins cancel each other out. But a recent theoretical peek into a class of materials called altermagnets—specifically a two-dimensional version dressed with dx2−y2 symmetry—adds a striking twist. The study, conducted by researchers at Clemson University…
In the era of data deluges and thousands, even millions, of statistical tests, a single line can decide what counts as a discovery and what stays in the quiet corners of the data. The Benjamini–Hochberg procedure, BH, is a trusted workhorse for controlling the false discovery rate, the expected proportion of false alarms among all…
Video compression has always been a guessing game between how little you can store and how good the picture looks when you pull it back. The newest twist flips the coin: instead of storing a movie frame as a mosaic of pixels, you train a tiny neural network to learn how to draw the scene…
Gravitational waves have turned the cosmos into a kind of orchestra, where the dirge of collapsing stars and the hush of spacetime murmurs carry stories we can hear only through precise detectors and careful theory. In the latest turn of that story, a team led by Alejandra Gonzalez, with collaborators from across Europe and North…
Theoretical physics often feels like trying to read the genome of reality in a language that shifts shape when you blink. Planar N = 4 supersymmetric Yang–Mills (SYM) is one of those languages: exquisitely symmetric, shockingly intricate, and textually full of hidden patterns. In this landscape, a method called Separation of Variables (SoV) promises to…
The universe isn’t a smooth ocean of galaxies. It’s more like a vast, lopsided foam of filaments, knots, and empty pockets—a cosmic web stitched together by gravity over billions of years. Our best map of that web comes not from directly seeing matter, but from watching how light is absorbed as it travels to us….
Moiré materials, where two atomic lattices slide past one another with a tiny twist, have become laboratories for exotic quantum behavior. In systems like twisted bilayer graphene (TBG) and twisted bilayer transition metal dichalcogenides (TMDs), electrons don’t just move through a static landscape; they wander through a textured, shimmering tapestry that remixes their quantum states…
Entropy is the secret sauce of secure computing. It’s the unpredictable spice that makes cryptographic keys hard to guess and simulations believable. In the real world, though, harvesting high-quality randomness is surprisingly hard, especially on tiny devices that live on the edge of the network. The usual suspects—quantum devices, elaborate RF receivers, or lab-grade hardware—are…
The universe speaks in ripples, and sometimes those ripples arrive with a complicated rhythm. Gravitational waves from spiraling binaries are the loudest chorus we hear, but when the two compact objects trace an eccentric path, the melody breaks into many notes. The new work from the Instituto de Física Teórica UAM/CSIC in Madrid, led by…
Tropical forests aren’t just green canopies rustling in the breeze. They are living archives of life, carbon storage factories, and weather-makers that shape climates far beyond their own borders. Yet counting the trees inside those vaults of green has long been a human-scale challenge. Ground surveys are slow, dangerous, and patchy; satellites struggle to see…
Knot theory often feels like a treasure map for loops: you search for patterns in entangled strands and the rules they obey when they twist and untwist. Torus knots, which wrap around a doughnut-shaped surface n times in one direction and m times in the other, sit on the frontier between computation and wonder. Their…
Introduction Confinement in quantum chromodynamics (QCD) has always felt like a stubborn puzzle folded into the vacuum of space: quarks and gluons can roam freely at very short distances, yet they never appear alone at the scales we actually measure. The standard narrative leans on a long-distance tug-of-war, a Wilson-loop area law that grows with…
At the edge of quantum reality, phase transitions don’t just flip a switch; they redraw the landscape. In a one‑dimensional quantum Ising chain, when you sweep a longitudinal field across its first‑order quantum transition, you’d expect the system to lurch from one magnetized valley to the other as if it were simply tipping over a…