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arXiv · 1306.1489

Affine group formulation of the Standard Model coupled to gravity

Ching-Yi Chou·Eyo Ita·Chopin Soo
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Abstract

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.

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Ching-Yi Chou, Eyo Ita, Chopin Soo. 2013-06-06. Affine group formulation of the Standard Model coupled to gravity. https://doi.org/10.1016/j.aop.2014.01.017

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