Quantum Honeybees (1997)
discovermagazine.com
discovermagazine.com
Bees generally code direction using polarized light, and they measure distance using the optical flow of visual information. This data is not always highly accurate, so they compensate with smell.
Anyone who has kept bees knows that they are absolutely brilliant creatures, but can also be pretty dumb. They have evolved their highly-tuned behaviors over millions of years. If you try moving a hive a distance of only a few meters, they can have a lot of trouble finding it, showing how critical their optical map of the world is for them to find things.
Anyone interested in current honeybee research, I recommend looking into the work of Thomas Seeley. He's written a few very good books over the last 20 years that bring together modern behavioral research. http://www.nbb.cornell.edu/seeley.shtml
Mathematics is abstraction. If this particular manifold shows up in both quarks and bee dances, that probably just means it's a pretty simple manifold. The logic here seems like the equivalent of: planets move in circles, wheels are circular, therefore wheels must be connected to planets.
Shipman, B. A., 1996, Investigating bee behavior from the standpoint of fundamental physical principles, Am Bee J, 136, 5:339-40
Sadly, neither I nor my institution subscribe to the American Bee Journal. Her website also lists a second paper:
B.A. Shipman. The full Kostant -Toda lattice: Geometry of its singularities and its connection to honeybees and new developments in physics. Proceedings of the Workshop on the Iso Level Sets of Integrable Systems 2007. Keio University, MATH COE, Integrative Mathematical Sciences, JAPAN. 2007
but I couldn't find that anywhere either (not on PubMed, Google Scholar, MathSciNet...)