### Light knots: Physicists use Maxwell's equations to describe field lines that encode torus knots and links

(Phys.org) —A team of physicists, two from the U.S., and one each from Poland and Spain has used Maxwell's equations to describe field lines that encode all torus knots and links. As they describe in their ...

### Mathematician announces that he's proved the ABC conjecture

(Phys.org)—In all of history there are very few names that stand out in the field of mathematics, at least among those not in the field: Euclid, Newton, Pythagoras, etc. This is likely due to several reasons, chief among ...

### Astrophysicists apply new logic to downplay the probability of extraterrestrial life

### Riding a bike couldn't be ... more complicated

We are told there's nothing easier than riding a bike. The reality is when it comes to staying upright, there is nothing more complicated. The mathematical formula which explains the motion of a bicycle looks like it could ...

### Mathematical model shows how groups split into factions

(PhysOrg.com) -- The school dance committee is split; one group wants an "Alice in Wonderland" theme; the other insists on "Vampire Jamboree." Mathematics could have predicted it.

### New equation predicts molecular forces in hydrophobic interactions

The physical model to describe the hydrophobic interactions of molecules has been a mystery that has challenged scientists and engineers since the 19th century. Hydrophobic interactions are central to explaining ...

### Genius of Einstein, Fourier key to new humanlike computer vision

(PhysOrg.com) -- Two new techniques for computer-vision technology mimic how humans perceive three-dimensional shapes by instantly recognizing objects no matter how they are twisted or bent, an advance that ...

### Quantum simulation of a relativistic particle

(PhysOrg.com) -- Researchers of the Institute for Quantum Optics and Quantum Information (IQOQI) in Innsbruck, Austria used a calcium ion to simulate a relativistic quantum particle, demonstrating a phenomenon ...

### Hyperbolic homogeneous polynomials, oh my!

Cutting-edge mathematics today, at least to the uninitiated, often sounds as if it bears no relation to the arithmetic we all learned in grade school. What do topology and combinatorics and n-dimensional ...

### Study reveals for first time true diversity of life in soils across the globe, new species discovered

(PhysOrg.com) -- Microscopic animals that live in soils are as diverse in the tropical forests of Costa Rica as they are in the arid grasslands of Kenya or the tundra and boreal forests of Alaska and Sweden, ...

### Dwarf planet mysteries beckon to New Horizons

(PhysOrg.com) -- At this very moment one of the fastest spacecraft ever launched -- NASA's New Horizons -- is hurtling through the void at nearly one million miles per day. Launched in 2006, it has been in ...

### American mathematicians Nash, Nirenberg win Abel math prize

American mathematicians John F. Nash Jr. and Louis Nirenberg have won this year's Abel Prize in mathematics.

### Solving big problems with new quantum algorithm

(PhysOrg.com) -- In a recently published paper, Aram Harrow at the University of Bristol and colleagues from MIT in the United States have discovered a quantum algorithm that solves large problems much faster ...

### Scientists revise the 60-year-old definition of surface tension on solids

Researchers of VTT Technical Research Centre of Finland have shown that surface tension on a solid material is unconnected to the energy required to create a new surface. Consequently, surface tension on a solid does not ...