ABSTRACT
One of the most pressing mathematical problems thrown up by the highly original work of David Bohm 1 is to construct numerous detailed examples that will help in the understanding of the important concepts of implicate and explicate order. Recently Bohm and Hiley 2 have themselves stressed the important role played by the Clifford algebras Cn here, since the automorphisms of the (even) Clifford algebras C 2r are all inner and ‘any theory based on an algebra can always be put in an implicate order by an inner automorphism of the algebra’ 3 . To make the notation precise, I am using Cn for the algebra generated by n anticommuting elements, which I usually denote by Ei (i = 1 … n), but in the case of quaternions, C 2, I use e 1, e 2, and set e 3 = e 1 e 2. Thus Cn has a basis of 2 n elements, including the unit, which I call 1. Unless explicitly stated otherwise, the algebra is over the field of reals, R.
