Quantum theory and determinism

@article{Vaidman2014QuantumTA,
  title={Quantum theory and determinism},
  author={Lev Vaidman},
  journal={Quantum Studies: Mathematics and Foundations},
  year={2014},
  volume={1},
  pages={5-38}
}
  • L. Vaidman
  • Published 16 May 2014
  • Philosophy
  • Quantum Studies: Mathematics and Foundations
Historically, appearance of the quantum theory led to a prevailing view that Nature is indeterministic. The arguments for the indeterminism and proposals for indeterministic and deterministic approaches are reviewed. These include collapse theories, Bohmian Mechanics and the many-worlds interpretation. It is argued that ontic interpretations of the quantum wave function provide simpler and clearer physical explanation and that the many-worlds interpretation is the most attractive since it… 
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References

SHOWING 1-10 OF 222 REFERENCES
What About Quantum Theory? Bayes and the Born Interpretation
I show that probabilities in quantum mechanics are a measure of belief in the presence of human ignorance, just like all other probabilities. The Born interpretation of the square of modulus of the
The Logic of Quantum Mechanics
One of the aspects of quantum theory which has attracted the most general attention, is the novelty of the logical notions which it presupposes. It asserts that even a complete mathematical
Ontological models predictively inequivalent to quantum theory.
TLDR
A model is described which violates the statement that no extension of quantum theory can have improved predictive power under a strong assumption of free choice of the experimental settings and validity of quantum mechanics for almost all states of a bipartite two-level system.
Quantum equilibrium and the origin of absolute uncertainty
The quantum formalism is a “measurement” formalism-a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from
Combining Bohm and Everett: Axiomatics for a Standalone Quantum Mechanics
A non-relativistic quantum mechanical theory is proposed that combines elements of Bohmian mechanics and of Everett’s “many-worlds” interpretation. The resulting theory has the advantage of resolving
Generalized probability theories: what determines the structure of quantum theory?
TLDR
It turns out that non-classical features of single systems can equivalently result from higher-dimensional classical theories that have been restricted, and entanglement and non-locality are shown to be genuine non- classical features.
"Relative State" Formulation of Quantum Mechanics
The task of quantizing general relativity raises serious questions about the meaning of the present formulation and interpretation of quantum mechanics when applied to so fundamental a structure as
Two-time interpretation of quantum mechanics
We suggest an interpretation of quantum mechanics, inspired by the ideas of Aharonov et al. of a time-symmetric description of quantum theory. We show that a special final boundary condition for the
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.
Quantum phenomena modelled by interactions between many classical worlds
We investigate whether quantum theory can be understood as the continuum limit of a mechanical theory, in which there is a huge, but finite, number of classical "worlds," and quantum effects arise
...
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