The Lorentz reciprocal theorem can now be applied to fluids with broken symmetries. Scientists at the Max Planck Institute for Dynamics and Self-Organization (MPI-DS) in Göttingen have found a way to also accommodate this ...
Soft Matter
Nov 27, 2023
0
51
On June 23, 1993, the mathematician Andrew Wiles gave the last of three lectures detailing his solution to Fermat's last theorem, a problem that had remained unsolved for three and a half centuries. Wiles' announcement caused ...
Mathematics
Jun 22, 2023
0
84
In the 18th century, the philosopher David Hume observed that induction—inferring the future based on what's happened in the past—can never be reliable. In 1997, SFI Professor David Wolpert with his colleague Bill Macready ...
Mathematics
Jun 5, 2023
0
45
A new review looks at an important and often overlooked aspect of physics that suggested symmetry in the particle zoo and how it could be broken.
Quantum Physics
May 25, 2022
1
48
The field of machine learning on quantum computers got a boost from new research removing a potential roadblock to the practical implementation of quantum neural networks. While theorists had previously believed an exponentially ...
Quantum Physics
Feb 24, 2022
0
1001
Einstein was no stranger to mathematical challenges. He struggled to define energy in a way that acknowledged both the law of energy conservation and covariance, which is general relativity's fundamental feature where physical ...
Quantum Physics
Dec 14, 2021
7
1073
There are certain rules that even the most extreme objects in the universe must obey. A central law for black holes predicts that the area of their event horizons—the boundary beyond which nothing can ever escape—should ...
General Physics
Jul 1, 2021
97
10239
Using AI and computer automation, Technion researchers have developed a 'conjecture generator' that creates mathematical conjectures, which are considered to be the starting point for developing mathematical theorems. They ...
Mathematics
Feb 5, 2021
3
9256
Black holes are considered amongst the most mysterious objects in the universe. Part of their intrigue arises from the fact that they are actually among the simplest solutions to Einstein's field equations of general relativity. ...
Astronomy
Jan 26, 2021
8
1165
General relativity is a profoundly complex mathematical theory, but its description of black holes is amazingly simple. A stable black hole can be described by just three properties: its mass, its electric charge and its ...
Astronomy
Dec 11, 2020
52
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