Claude’s Solution to Decades-Long Math Mystery Is ‘Essentially Correct,’ Physicists Say

For years, physicists were stuck in trying to explain an important mathematical problem in physics. The right approach ended ...

Physicists and AI model Claude 'collaborate' to prove a 10-year-old jamming conjecture

A mathematical problem that had remained unsolved for more than 10 years in the physics of complex systems has finally been ...

What is a Lagrangian used for in physics?

Last week, I introduced Emmy Noether, an extraordinary figure in the fields of mathematics and physics. To understand Noether ...
Scientific American

The math behind the universe's symmetry

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a ...

A thermodynamic approach to gravity could explain cosmic acceleration without dark energy

Gravity, the force that attracts objects toward each other, is currently framed by Albert Einstein's theory of general ...
IEEE

Physics-Informed Neural Networks for Solving Forward and Inverse Problems in Complex Beam Systems

Abstract: This article proposes a new framework using physics-informed neural networks (PINNs) to simulate complex structural systems that consist of single and double beams based on Euler–Bernoulli ...