  Geometric Algebra and Calculus are mathematical languages encoding
fundamental geometric relations that theories of physics seem to respect. We
propose criteria given which statistics of expressions in geometric algebra are
computable in quantum theory, in such a way that preserves their algebraic
properties. They are that one must be able to arbitrarily transform the basis
of the Clifford algebra, via multiplication by elements of the algebra that act
trivially on the state space; all such elements must be neighbored by operators
corresponding to factors in the original expression and not the state vectors.
We explore the consequences of these criteria for a physics of dynamical
multivector fields.
