Black hole entropy divergence and the uncertainty principle

  title={Black hole entropy divergence and the uncertainty principle},
  author={Ram Brustein and Judy Kupferman},
  journal={Physical Review D},
Black hole entropy has been shown by 't Hooft to diverge at the horizon. The region near the horizon is in a thermal state, so entropy is linear to energy which consequently also diverges. We find a similar divergence for the energy of the reduced density matrix of relativistic and non-relativistic field theories, extending previous results in quantum mechanics. This divergence is due to an infinitely sharp division between the observable and unobservable regions of space, and it stems from the… 

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