Mathematicians are using Srinivasa Ramanujan's century-old formulae to push the boundaries of high-performance computing and verify the accuracy of calculations.
Analysis of 15 years of Fermi LAT data reveals a statistically significant halo-like excess in gamma rays around 20 GeV, potentially originating from dark matter annihilation. The study examines systematic uncertainties and explores implications for WIMP parameters.
A hyperspectral camera has enabled the first precise measurement of blue auroral nitrogen ion (N₂⁺) emission altitudes during twilight, revealing a peak intensity at about 200 km—higher than previously known. This new method improves altitude estimation and supports models suggesting significant high-altitude N2+ presence.
Manifolds are spaces that look Euclidean when you zoom in on any one of their points. Introduced by Bernhard Riemann, they have become a mathematical staple in fields like geometry, physics, and data analysis.
The theoretical physicist and best-selling author finds inspiration in politics and philosophy for rethinking space and time.
Carlo Rovelli's work focuses on reconciling general relativity and quantum mechanics through **Loop Quantum Gravity (LQG)**, which proposes that spacetime is discrete and emerges from interactions, not as a pre-existing background. He also advocates for **Relational Quantum Mechanics**, asserting reality is defined by interactions and perspective – there is no objective, observer-independent reality. A key idea is that **time is not fundamental** but an emergent property linked to entropy. While promising, LQG faces challenges in making testable predictions.
Essentially, Rovelli argues for a shift from seeking absolute truths to understanding a relational, perspective-dependent universe.
Carlo Rovelli's work focuses on reconciling general relativity and quantum mechanics through **Loop Quantum Gravity (LQG)**, which proposes that spacetime is discrete and emerges from interactions, not as a pre-existing background. He also advocates for **Relational Quantum Mechanics**, asserting reality is defined by interactions and perspective – there is no objective, observer-independent reality. A key idea is that **time is not fundamental** but an emergent property linked to entropy. While promising, LQG faces challenges in making testable predictions.
Essentially, Rovelli argues for a shift from seeking absolute truths to understanding a relational, perspective-dependent universe.
This paper presents a model where gravity, through its fundamental unification with matter, explains the collapse of the wavefunction. The model is local, parameter-free, and makes testable predictions, proposing that the time evolution of quantum states deviates from the Schrödinger equation due to gravitational effects, leading to a natural explanation for why macroscopic superpositions do not occur.
This article is a survey of the history and ideas of gauge theory. It discusses the emergence of symmetry, Noether’s theorem, the gauge principle, and the role of gauge fields in mediating interactions. It also examines the electromagnetic field and generalizations to non-Abelian gauge theories, concluding with a look at the dream of total unification.
For decades, mathematicians have struggled to understand matrices that reflect both order and randomness, like those that model semiconductors.
A new method could change that.
Recent research has made a significant mathematical advance in understanding Anderson localization, the phenomenon where disorder in a material (like impurities in silicon) can stop electron flow. Researchers proved that, for a simplified model called band matrices, electrons do become trapped ("localized") with enough disorder. This breakthrough, achieved by Yan Yau and Jun Yin’s team, uses a new mathematical technique and brings us closer to fully understanding Anderson’s original model and designing materials with specific electronic properties. It’s a key step in understanding systems between order and randomness.
A new method could change that.
Recent research has made a significant mathematical advance in understanding Anderson localization, the phenomenon where disorder in a material (like impurities in silicon) can stop electron flow. Researchers proved that, for a simplified model called band matrices, electrons do become trapped ("localized") with enough disorder. This breakthrough, achieved by Yan Yau and Jun Yin’s team, uses a new mathematical technique and brings us closer to fully understanding Anderson’s original model and designing materials with specific electronic properties. It’s a key step in understanding systems between order and randomness.
This blog post details the implementation of a 'Particle Life' simulation using WebGPU. It covers the model's mechanics, the rationale for using WebGPU, the simulation loop, force computation techniques (including parallel prefix sum), rendering details, and provides a link to an interactive demo.
Recent findings using AI reveal that Sagittarius A*, the supermassive black hole at the center of the Milky Way, is rotating at near-maximum velocity with its rotation axis pointed directly toward Earth. This discovery, made possible by advanced neural networks and Bayesian statistical approaches, challenges established black hole theories and offers new insights into galactic formation.
