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Quantum Space-time and Classical Gravity

广义相对论与量子宇宙学 2009-10-28 v1 高能物理 - 理论

摘要

A method has been recently proposed for defining an arbitrary number of differential calculi over a given noncommutative associative algebra. As an example a version of quantized space-time is considered here. It is found that there is a natural differential calculus using which the space-time is necessarily flat Minkowski space-time. Perturbations of this calculus are shown to give rise to non-trivial gravitational fields.

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引用

@article{arxiv.gr-qc/9607060,
  title  = {Quantum Space-time and Classical Gravity},
  author = {J. Madore and J. Mourad},
  journal= {arXiv preprint arXiv:gr-qc/9607060},
  year   = {2009}
}

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21 pages LaTex