# Ontology in Quantum Mechanics

@article{Hooft2021OntologyIQ, title={Ontology in Quantum Mechanics}, author={Gerard 't Hooft}, journal={Topics on Quantum Information Science [Working Title]}, year={2021} }

It is suspected that the quantum evolution equations describing the micro-world as we know it are of a special kind that allows transformations to a special set of basis states in Hilbert space, such that, in this basis, the evolution is given by elements of the permutation group. This would restore an ontological interpretation. It is shown how, at low energies per particle degree of freedom, almost any quantum system allows for such a transformation. This contradicts Bell’s theorem, and we…

## 2 Citations

Quantum mechanics via quantum tomography

- Physics
- 2021

Starting from a new basic principle inspired by quantum tomography rather than from Born’s rule, this paper gives an elementary, and self-contained deductive approach to quantum mechanics and quantum…

Hidden symmetries and Large N factorisation for permutation invariant matrix observables

- Mathematics
- 2021

Permutation invariant polynomial functions of matrices have previously been studied as the observables in matrix models invariant under S N , the symmetric group of all permutations of N objects. In…

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