  Multivector quantum mechanics utilizes wavefunctions which are Clifford
aggregates (e.g. sum of scalar, vector, bivector). This is equivalent to multi-
spinors constructed of Dirac matrices, with the representation independent form
of the generators geometrically interpreted as the basis vectors of spacetime.
Multiple generations of particles appear as left ideals of the algebra, coupled
only by now-allowed right-side applied (dextral) operations. A generalized
bilateral (two-sided operation) coupling is proposed which includes the above
mentioned dextrad field, and the spin-gauge interaction as particular cases.
This leads to a new principle of {\it poly-dimensional covariance}, in which
physical laws are invariant under the reshuffling of coordinate geometry. Such
a multigeometric superfield equation is proposed, which is sourced by a
bilateral current. In order to express the superfield in representation and
coordinate free form, we introduce Eddington E-F {\it double-frame} numbers.
Symmetric tensors can now be represented as 4D ``dyads", which actually are
elements of a global 8D Clifford algebra. As a restricted example, the dyadic
field created by the Greider-Ross multivector current (of a Dirac electron)
describes both electromagnetic and Morris- Greider gravitational interactions.
[to appear in Proceedings edited by J. Keller, UNAM, Mexico (Kluwer Academic
Publ)]
