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arXiv · 0706.4452

What is the Mathematical Structure of Quantum Spacetime?

Louis Crane
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Abstract

We survey indications from different branches of Physics that the fine scale structure of spacetime is not adequately described by a manifold. Based on the hints we accumulate, we propose a new structure, which we call a quantum topos. In the process of constructing a quantum topos for quantum gravity, we propose a new, operational approach to the problem of the obervables in quantum gravity, which leads to a new mathematical point of view on the state sum models.

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Louis Crane. 2007-06-29. What is the Mathematical Structure of Quantum Spacetime?. https://arxiv.org/abs/0706.4452

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