Unsharp Values, Domains and Topoi

@article{Doering2012UnsharpVD,
  title={Unsharp Values, Domains and Topoi},
  author={A. Doering and Rui Soares Barbosa},
  journal={arXiv: Quantum Physics},
  year={2012},
  pages={65-96}
}
The so-called topos approach provides a radical reformulation of quantum theory. Structurally, quantum theory in the topos formulation is very similar to classical physics. There is a state object \(\underline\sum\), analogous to the state space of a classical system, and a quantity-value object \(\underline{\mathbb{R}^{\leftrightarrow}}\), generalising the real numbers. Physical quantities are maps from the state object to the quantity-value object – hence the ‘values’ of physical quantities… Expand
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