# Proceedings of the Royal Society A

### Doing without dark energy: Mathematicians propose alternative explanation for cosmic acceleration

Three mathematicians have a different explanation for the accelerating expansion of the universe that does without theories of "dark energy." Einstein's original equations for General Relativity actually predict cosmic acceleration ...

Dec 14, 2017 in General Physics
2954 161

### Grasshopper problem yields insight into quantum theory

(Phys.org)—Like many mathematical puzzles, the grasshopper problem is simple to state but difficult to solve: A grasshopper lands at a random point on a lawn of area 1, then jumps once, a fixed distance, in a random direction. ...

Dec 04, 2017 in Quantum Physics feature
573 4

### How to cut your lawn for grasshoppers

Picture a grasshopper landing randomly on a lawn of fixed area. If it then jumps a certain distance in a random direction, what shape should the lawn be to maximise the chance that the grasshopper stays on the lawn after ...

Nov 22, 2017 in Mathematics
176 6

### Quantum tunnelling in water opens the way to improved biosensing

Researchers at the University of Sydney have applied quantum techniques to understanding the electrolysis of water, which is the application of an electric current to H2O to produce the constituent elements hydrogen and oxygen.

Nov 07, 2017 in Condensed Matter
841 1

### How close to invisible can a mirror be?

(Phys.org)—In 2011, mathematicians Alexander Plakhov and Vera Roshchina proved that objects with mirror surfaces cannot be perfectly invisible. Now in a new study, Plakhov has returned to the problem, asking just how close ...

Oct 06, 2017 in Mathematics feature
581 4

### A beautiful wing design solution inspired by owl feathers

Many species of owl are able to hunt without being heard by their prey by suppressing the noise of their wings at sound frequencies above 1.6 kilohertz (kHz)—including the range at which human hearing is most sensitive.

Sep 27, 2017 in Mathematics
136 0

### Mathematicians ask: What's in a ripple?

When a fluid or a gas experiences a sudden disturbance, such as a change in pressure or elevation, it often gives rise to a phenomenon known as an undular bore, which consists of a series of rapid oscillations that propagate ...

Sep 20, 2017 in Mathematics
64 0

### The mathematics of golf

(Phys.org)—The official Rules of Golf, which are continually being revised and updated as new equipment emerges, have close ties to mathematics. In many cases, math is used to place limitations on golf equipment, such as ...

Aug 16, 2017 in Mathematics feature
307 1

### Experimental method measures robustness of quantum coherence

Researchers at the UAB have come up with a method to measure the strength of the superposition coherence in any given quantum state. The method, published in the journal Proceedings of the Royal Society A, is based on the ...

Jul 27, 2017 in Quantum Physics
15 1

### Model suggests fear of crime is contagious

(Phys.org)—A pair of researchers at University College London has found evidence suggesting that fear of crime is contagious. In their paper published in Proceedings of the Royal Society A, Rafael Prieto Curiel and Steven ...

Jul 12, 2017 in Social Sciences report
107 0