State vector reduction as a shadow of a noncommutative dynamics

@article{Heller2000StateVR,
  title={State vector reduction as a shadow of a noncommutative dynamics},
  author={Michael Heller and Wiesław Sasin},
  journal={Journal of Mathematical Physics},
  year={2000},
  volume={41},
  pages={5168-5179}
}
  • M. Heller, W. Sasin
  • Published 17 June 1999
  • Physics, Mathematics
  • Journal of Mathematical Physics
A model, based on a noncommutative geometry, unifying general relativity and quantum mechanics, is developed. It is shown that the dynamics in this model can be described in terms of one-parameter groups of random operators, and that the noncommutative counterparts of the concept of state and that of probability measure coincide. We also demonstrate that the equation describing noncommutative dynamics in the quantum mechanical approximation gives the standard unitary evolution of observables… 
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