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My interest in Foundations of mathematics was aroused by Raymond Wilder's course at University of Michigan in 1967.Wilder was a student of Robert Lee Moore of the University of Texas at Austin. Robert Moore studied with G. B. Halsted in Texas and Eliakim Hastings Moore in Chicago. Halsted had studied with James Joseph Sylvester in Virginia and related to Alexander MacFarlane who taught physics at the University of Texas. Thus the British culture of mathematics and physics influenced Halsted and the cradle of the Moore method in mathematics learning. Such is my mathematical genealogy; my ancestors lived in the land of Herman Boerhaave and Hendrik Lorentz.
In a conference on differential geometry and relativity at Halifax, Nova Scotia in 1972 I first heard of Harry Bateman's results on Maxwell's equations and conformal geometry.After five years of investigation I published Geometry of Electromagnetism which developed Biquaternions and Inversive ring geometry. Probing more deeply into foundations, I have taken an interest in Split-complex numbers and hyperbolic angle. I began to work with Hyperbolic quaternions, with its remarkable quasigroup basis, before running across MacFarlane in about 1995. Looking further I found James Cockle's work on Tessarines and coquaternions.
The linear algebra associated with relativity inevitably leads to hyperbolic geometry, a topic introduced in hyperbolic motions and hyperbolic coordinates.
I am a Pythagorean and Vegetarian relying on whole grains in the form of Brown rice, Quinoa, and Millet along with Legumes. I also enjoy fresh vegetables, especially those in the leaf and root categories. I ride bicycle in Vancouver or kayak the Strait of Georgia. Further physical exercise comes in playing Matkot.
