# 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} }

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…

## 5 Citations

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

- Mathematics
- 2021

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

- MathematicsInternational 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…

### An epistemic interpretation and foundation of quantum theory

- Philosophy
- 2019

The interpretation of quantum mechanics has been discussed since this theme first was brought up by Einstein and Bohr. This article describes a proposal for a new foundation of quantum theory, partly…

### When is a set of questions to nature together with sharp answers to those questions in one-to-one correspondence with a set of quantum states?

- Physics
- 2019

A general question is posed to the quantum community. Partial results are formulated in a self-contained way. In particular, the title question is answered affirmatorily in two cases: 1) The case of…

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