Luke, Jon C.2022-05-262022-05-262022-05Luke, J.C. (2022 May). A Note on the Use of the Nonlinear Dirac Equation for Soliton Particle Models. Preprint.https://hdl.handle.net/1805/29157When nonlinear Dirac equations are to be used in classical soliton models, it is essential that certain paradoxical properties of spinors be avoided. This result can be achieved if Dirac’s equation is formulated in a slightly different way, where the dependent variable is a matrix rather than a column vector. It is helpful to understand the change in the context of a Clifford algebra.en-USspinorsoliton modelDirac equationClifford algebraPreprint