What is the Mathematical Structure of Quantum Spacetime?

Details What is the Mathematical Structure of Quantum Spacetime? What is the Mathematical Structure of Quantum Spacetime?

2007-06-29

arxiv.org/abs/0706.4452v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, latex file

Scientific paper

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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