Model Categories and Quantum Gravity

Louis Crane

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arXiv · 0810.4492

Model Categories and Quantum Gravity

Louis Crane

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Abstract

We propose a mathematically concrete way of modelling the suggestion that in quantum gravity the spacetime disappears, replacing it with a discrete approximation to the causal path space described as an object in a model category. One of the versions of our models appears as a thickening of spacetime, which we interpret as a formulation of relational geometry. Avenues toward constructing an actual quantum theory of gravity on our models are given a preliminary exploration.

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Louis Crane. 2008-10-25. Model Categories and Quantum Gravity. https://arxiv.org/abs/0810.4492

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