One of the most detailed discussions of living things is Karl von Frisch’s book Dance Language and Orientation of Bees. Von Frisch spent 40 years studying how bees communicate to other bees information about pollen sources. He referred to the honeycomb as a dance floor and described the bee making a “waggle dance” which gave other bees information where to find nectar. The bee dance indicates the direction to this food source and an alteration of the shape of the dance indicates the distance to the source. If the food source was close, the bee uses a round dance instead of the waggle dance. Von Frisch’s study catalogs what the bee does, but it doesn’t tell you how the bee does it.
Barbara Shipman is a mathematician with an interest in bees. There is a mathematical concept known as “manifolds.” Manifolds can have two dimensions, but they can have an infinite number of dimensions. One type of manifold called the “flag manifold” has six dimensions. As Shipman worked with flag manifolds, she saw patterns that were similar to the patterns of the waggle dance of the bees. Physicists use flag manifolds in dealing with subatomic particles called quarks which are the building blocks of protons and neutrons. Shipman believes that bees are sensitive to quarks and the sensitivity appears to be a reaction to a quantum field acting on the membranes of selected cells in the bees. It has been demonstrated that bees are sensitive to Earth’s magnetic field and the polarization of sunlight. Shipman is seeking to add the dimension of quantum fields to the bee’s repertoire of tools for location and communication.