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Barbara Shipman discovered a relationship between the topology of the quarkonium manifold and the waggle dance of honey bees. By mapping a six-dimensional quantum geometrical figure onto two-dimensions she recognized the pattern as that of the honeybee's ritual dance.
To her, this implied that the bees mind is coupled to the quantum world, since it is in the quantum realm that the six-dimensional geometry of phase space has real meaning. The bees use the waggle dance to communicate to other bees in the hive the location and distance of a food source. The form of the dance changes according to the location of the flowers constituting the source. The surprising thing is that there may be a deep mathematical explanation for how the dance changes form.
Shipman’s reasoning related the geometry of the bee’s waggle dance to a space in symplectic geometry known as a "flag manifold." Although Shipman isn’t suggesting that honey bees understand flag manifolds, she believes it is possible that the instincts which control their behavior are wired in such a way that the quantum principles related to this kind of geometry apply.
Shipman, B. A., 1996, Investigating bee behavior from the standpoint of fundamental physical principles, Am Bee J, 136,
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