  This work demonstrates that a complete description of the interaction of
matter and all forces, gravitational and non-gravitational, can in fact be
realized within a quantum affine algebraic framework. Using the affine group
formalism, we construct elements of a physical Hilbert space for full,
Lorentzian quantum gravity coupled to the Standard Model in four spacetime
dimensions. Affine algebraic quantization of gravitation and matter on equal
footing implies a fundamental uncertainty relation which is predicated upon a
non-vanishing cosmological constant.
