Corpus ID: 14500252

Model Categories and Quantum Gravity

@article{Crane2008ModelCA,
  title={Model Categories and Quantum Gravity},
  author={L. Crane},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2008}
}
  • L. Crane
  • Published 2008
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
  • 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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