  Attention is given to the interface of mathematics and physics, specifically
noting that fundamental principles limit the usefulness of otherwise perfectly
good mathematical general integral solutions. A new set of multivector
solutions to the meta-monogenic (massive) Dirac equation is constructed which
form a Hilbert space. A new integral solution is proposed which involves
application of a kernel to the right side of the function, instead of to the
left as usual. This allows for the introduction of a multivector generalization
of the Feynman Path Integral formulation, which shows that particular
``geometric groupings'' of solutions evolve in the manner to which we ascribe
the term ``quantum particle''. Further, it is shown that the role of usual $i$
is subplanted by the unit time basis vector, applied on the right side of the
functions. Summary of talk, to appear in: Proceedings of the 17th Annual
Lecture Series in the Mathematical Sciences, April 8-10, 1993, University of
Arkansas, `Clifford Algebas in Analysis', J. Ryan, editor (CRC Press, expected
1994)
