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… 

Figures from this paper

Comment on"Why interference phenomena do not capture the essence of quantum theory"by Catani et al
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
Properties of Invariant Set Theory
In a recent paper (arXiv:2107.04761), Sen critiques a superdeterministic model of quantum physics, Invariant Set Theory, proposed by one of the authors. He concludes that superdeterminism is
Could wavefunctions simultaneously represent knowledge and reality?
In discussion of the interpretation of quantum mechanics the terms ‘ontic’ and ‘epistemic’ are often used in the sense of pertaining to what exists, and pertaining to cognition or knowledge
Wavefunctions can Simultaneously Represent Knowledge and Reality
In discussion of the interpretation of quantum mechanics the terms ‘ontic’ and ‘epistemic’ are often used in the sense of pertaining to what exists, and pertaining to cognition or knowledge
A Future-Input Dependent Path Integral for Quantum Mechanics
What does it take to solve the measurement problem?
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
The Quantum Eraser Paradox
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,
Two Roads to Retrocausality
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"
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
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

References

SHOWING 1-10 OF 76 REFERENCES
Measurements on the reality of the wavefunction
Quantum mechanics is an outstandingly successful description of nature, underpinning fields from biology through chemistry to physics. At its heart is the quantum wavefunction, the central tool for
Quantum theory cannot consistently describe the use of itself
TLDR
A variant of Wigner’s friend Gedankenexperiment where each of the current interpretations of QM fails in giving a consistent description, indicating that quantum theory cannot be extrapolated to complex systems, at least not in a straightforward manner.
Physics and Metaphysics of Wigner's Friends: Even Performed Premeasurements Have No Results.
TLDR
The measurement process is composed of premeasurement and an irreversible decoherence via interaction with an environment and the system ends up in a probabilistic mixture of the eigenstates of the measured observable.
Quantum Mechanics in the Light of Quantum Cosmology
We sketch a quantum mechanical framework for the universe as a whole. Within that framework we propose a program for describing the ultimate origin in quantum cosmology of the quasiclassical domain
A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II
In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of hidden variables developed in a
A Real Ensemble Interpretation of Quantum Mechanics
A new ensemble interpretation of quantum mechanics is proposed according to which the ensemble associated to a quantum state really exists: it is the ensemble of all the systems in the same quantum
Einstein, Incompleteness, and the Epistemic View of Quantum States
TLDR
It is shown that for models wherein the quantum state has the status of something real, the failure of locality can be established through an argument considerably more straightforward than Bell’s theorem.
How statistical are quantum states
A novel no-go theorem is presented which sets a bound upon the extent to which '\Psi-epistemic' interpretations of quantum theory are able to explain the overlap between non-orthogonal quantum states
Colloquium : Bell’s theorem and locally mediated reformulations of quantum mechanics
In this critical review of Bell's Theorem, its implications for reformulations of quantum theory are considered. The assumptions of the theorem are set out explicitly, within a framework of
A Neglected Route to Realism about Quantum Mechanics
Bell's Theorem assumes that hidden variables are not influenced by future measurement settings. The assumption has sometimes been questioned, but the suggestion has been thought outlandish, even by
...
...