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An Octonionic Geometric (Balanced) state Sum Model

Louis Crane
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Abstract

We propose a new 4D state sum model, related to the balanced model, which is constructed using the octonions, or equivalently, triality. An effective continuum physical theory constructed from this model coupled to the balanced model would have a non-vanishing cosmological constant, chiral asymmetry, and a gauge group related to the octonions.

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Louis Crane. 1998-06-12. An Octonionic Geometric (Balanced) state Sum Model. https://arxiv.org/abs/gr-qc/9806060

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