%0 Journal Article %T Affine group formulation of the Standard Model coupled to gravity %A Ching-Yi Chou %A Eyo Ita %A Chopin Soo %J Physics %D 2013 %I arXiv %R 10.1016/j.aop.2014.01.017 %X 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. %U http://arxiv.org/abs/1306.1489v4