# The wave function as a true ensemble

@article{Hance2022TheWF, title={The wave function as a true ensemble}, author={Jonte R Hance and Sabine Hossenfelder}, journal={Proceedings. Mathematical, Physical, and Engineering Sciences}, year={2022}, volume={478} }

In quantum mechanics, the wave function predicts probabilities of possible measurement outcomes, but not which individual outcome is realized in each run of an experiment. This suggests that it describes an ensemble of states with different values of a hidden variable. Here, we analyse this idea with reference to currently known theorems and experiments. We argue that the ψ-ontic/epistemic distinction fails to properly identify ensemble interpretations and propose a more useful definition. We…

## 10 Citations

Comment on"Why interference phenomena do not capture the essence of quantum theory"by Catani et al

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It was recently argued by Catani et al that it is possible to reproduce the phenomenology of the double-slit experiment with a deterministic, local, and classical model (arXiv:2111.13727). The stated…

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Wavefunctions can Simultaneously Represent Knowledge and Reality

- Philosophy
- 2021

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We summarise different aspects of the measurement problem in quantum mechanics. We argue that it is a real problem which requires a solution, and identify the properties a theory needs to solve the…

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- Physics
- 2021

C. Bracken,1, 2 J.R. Hance,3, ∗ and S. Hossenfelder4 Dept of Experimental Physics, Maynooth University, Maynooth, Co. Kildare, Ireland Astronomy & Astrophysics Section, School of Cosmic Physics,…

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- 2022

In recent years the quantum foundations community has seen increasing interest in the possibility of using retrocausality as a route to rejecting the conclusions of Bell’s theorem and restoring…

Comment on"Experimentally adjudicating between different causal accounts of Bell-inequality violations via statistical model selection"

- Philosophy
- 2022

In a recent paper (Phys. Rev. A 105 , 042220 (2022)), Daley et al claim that superdeterministic models are disfavoured against standard quantum mechanics, because such models overﬁt the statistics of…

Discretised Hilbert Space and Superdeterminism

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In computational physics it is standard to approximate continuum systems with discretised representations. Here we consider a speciﬁc discretisation of the continuum complex Hilbert space of quantum…

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