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The conventional attitude toward such questions has been to treat the Standard Model as a broken piece of some more complete theoretical structure.
Furey began seriously pursuing this possibility in grad school, when she learned that quaternions capture the way particles translate and rotate in 4-D space-time.
The coincidences have since proliferated. Some might say I did. To download a pdf version of this graphic, click here. The math also suggests a reason why electric charge is quantized in discrete units — essentially, because whole numbers are. In this case, the symmetries act on all three particle generations and also allow for the existence of particles called sterile neutrinos — candidates for dark matter that physicists are actively searching for now.
I think there is. The mathematical physicists Michel Dubois-Violette , Ivan Todorov and Svetla Drenska are also trying to model the three particle generations using a structure that incorporates octonions called the exceptional Jordan algebra. String theory also predicts 10 space-time dimensions — and the octonions are involved there as well. So does her future.
But she is taken with the mystery of why the property of division is so key. Palgrave Macmillan journals. Scientific American.
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