Symmetry in a space of conceptual variables

@article{Helland2019SymmetryIA,
  title={Symmetry in a space of conceptual variables},
  author={Inge S. Helland},
  journal={Journal of Mathematical Physics},
  year={2019}
}
  • I. Helland
  • Published 1 May 2019
  • Mathematics
  • Journal of Mathematical Physics
A conceptual variable is any variable defined by a person or by a group of persons. Such variables may be inaccessible, meaning that they cannot be measured with arbitrary accuracy on the physical system under consideration at any given time. An example may be the spin vector of a particle; another example may be the vector (position, momentum). In this paper, a space of inaccessible conceptual variables is defined, and group actions are defined on this space. Accessible functions are then… 

N ov 2 02 1 On reconstruction of the Hilbert space from conceptual variables .

In [1] the general problem of deriving the Hilbert space formulation in quantum theory is discussed from the point of view of conceptual variables. A conceptual variable is any variable defined by a

On Reconstructing Parts of Quantum Theory from Two Related Maximal Conceptual Variables

  • I. Helland
  • Mathematics
    International Journal of Theoretical Physics
  • 2022
In the book Helland (2021) the general problem of reconstructing the Hilbert space formulation in quantum theory is discussed from the point of view of what I called conceptual variables, any

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