Minimum length from quantum mechanics and classical general relativity.

  title={Minimum length from quantum mechanics and classical general relativity.},
  author={Xavier Calmet and Michael Lawrence Graesser and Stephen Hsu},
  journal={Physical review letters},
  volume={93 21},
We derive fundamental limits on measurements of position, arising from quantum mechanics and classical general relativity. First, we show that any primitive probe or target used in an experiment must be larger than the Planck length lP. This suggests a Planck-size minimum ball of uncertainty in any measurement. Next, we study interferometers (such as LIGO) whose precision is much finer than the size of any individual components and hence are not obviously limited by the minimum ball… 
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