Catching sight of a cockroach tends to make us behave chaotically, what with the running and screaming and throwing of shoes. But it appears that chaos might actually explain how we, and the cockroach itself, behave.
An interdisciplinary team of scientists from Germany have created a robotic cockroach that autonomously behaves in a way reminiscent of a real cockraoch. The robot independently changes gait depending on the surface it is walking on, avoids obstacles and can even extricate its leg from a hole or run away from predators. Recreating lifelike behaviour is not new, but this robot reproduces a huge
range of behaviours and quickly reacts to new situations and switch between them. And the secret to its success is controlled chaos in its robotic brain.
A complex symmetric structure known as the exceptional Lie group E8, which has so far only existed in the minds of mathematicians, seems to have turned up in real life for the first time. Physicists from the UK and Germany have conducted an experiment which involved cooling a crystal made of cobalt and niobium to near absolute zero and then applying a magnetic field. As they increased
the strength of the magnetic field to a critical value, spontaneous patterns appeared in the configuration of electrons in the crystal, and these patterns carried the tell-tale signature of E8.
Dr. Radu Coldea is deadly right. The E8 symmetry group is more fundamental than what was achieved experimentally. Alexander Zamolodchikov pointed out its possible importance in a somewhat limited context similar to what was done in Helmholtz Inst. and Oxford. However, and since almost twenty years, there was a fully developed general theory for high energy physics based on transfinite E8. This
is the usual E8 plus a manifest golden mean effect in addition to the inert one. The theory is fully explained in various papers published in a journal for nonlinear dynamics, Chaos, Solitons & Fractals. I should list three papers which readers of this serious site may find very illuminating and informative. They are: High energy physics and the standard group from the exceptional Lie groups,
36, 2008, pp. 1-17. On a class of general theories for high energy particle physics, 14, 2002, pp. 649-668 and The theory of Cantorian spacetime and high energy particle physics (an informal review), 41, 2009, pp. 2635-2646. Further work on the subject was made by Ervin Goldfain, L. Marek-Crnjac, Ji-Huan He and G. Iovane as well as Tim Palmer.
In a survey published last week 79% of parents revealed that maths homework frequently leads to conflict and arguments in the household, and a third of those surveyed admitted that they avoid helping their children with their maths homework. Over 40% of parents proved unable to work out the answer to a question that a 10-year-old might be expected to solve in a national test. (Alex thinks of a
number. He adds half of the number to a quarter of the number. The result is 60. What was the number Alex first thought of?) What's more, over 50% admitted to not being able to teach their kids basic maths techniques used in primary school, including division by chunking, the grid method, or number bonds?.
The survey questioned a random sample of 1000 parents who have children aged 6 -11 years. It was commissioned by Random House Group to coincide with the publication of a new book by Plus author Rob Eastaway and Mike Askew. Maths for Mums and Dads is designed to
help parents come to grips with the techniques children are now taught at school and to give parents an insight into why children make mistakes. Look out for a review in the next issue of Plus or buy now from Amazon.
How long will it be until climate change brings tropical butterflies, exotic birds, or malaria-infested mosquitoes to UK shores? A team of US scientists has come a step closer to an answer by estimating the speed of climate change: the distance animal and plant species would have to migrate every year to maintain a constant temperature in their surroundings. According to the team's study,
recently published in the journal Nature, the global mean of this speed is 0.42 km per year, but the study also points to important differences between types of habitat. Mountain species will be able to move slower, a predicted 0.11 km a year, since temperature varies
quickly as you move up and down a mountain slope. Ecosystems from flooded grass lands and savannas, however, may have to shift by as much as 1.26 km a year to keep their temperature constant.
Researchers working on the Cryogenic Dark Matter Search experiment (CDMS) received an early Christmas gift last week when their detectors spotted evidence for the existence of dark matter, the mysterious substance that is believed to make up 25% of our Universe. The detectors, sitting half a mile underground in a disused mine in northern Minnesota, detected two events that may be results of
dark matter particles bouncing off other atomic nuclei. It's the first time that such events were recorded by CDMS, and while they don't provide conclusive proof that dark matter exists, the detections have caused a stir in the scientific community.