Authors: J. S. Markovitch
A special case of the cubic equation is shown to possess three unusually economical solutions. A minimal case associated with these solutions is then shown to yield a congruous set of numbers that fit the fine structure constant, the sines squared of the quark and lepton mixing angles, as well as the Weinberg angle. Had Renaissance mathematicians probed the cubic equation's solutions more deeply these numbers might have formed a well-known part of algebra from the 16th century.
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