Communications in Information and Systems
Volume 14 (2014)
Split-complex numbers and Dirac bra-kets
Pages: 135 – 159
We describe the real tessarines or “split-complex numbers” and describe a novel instance where they arise in biomedical informatics. We use the split-complex numbers to give a mathematical definition of a Hyperbolic Dirac Network (HDN)—a hyperbolic analogue of a classical probabilistic graphical model that uses quantum physics as an underlying heuristic.