through clever logical deduction. It was difficult to come up with an analogous “physics” question. As recently discussed by Romer[@Romer] such questions can usually only be answered by experimental verification (e.g. does the [Top Quark]{} exist), or an application of a [*physical principle*]{}. It was the downfall of Galileo that the ‘new science’ had new physical laws that could not be derived by logical extension or verified by mathematical proof. Given this, it is somewhat of mystery that physical principles can be so conveniently expressed in mathematical form[@Wigner].

The goal of this paper is twofold. Specifically we consider the more general [meta-monogenic equation]{} (in non-Euclidean spacetime), which is of more interest (to physicists) than the more limited monogenic equation, yet has not received nearly as much attention in Clifford analysis. Secondly, this paper will be used as a vehicle to address the [*interface*]{} of mathematics and physics, by providing associations between mathematical concepts and physical principles.

Algebraic Notation
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We seek to use a geometric algebra which will describe the empirically known properties of physical spacetime. Specifically, the mathematical structure chosen should encode physical principles (e.g. Lorentz covariance).

Classical Galilean Space and The Pauli Algebra
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Before the theory of 