Modal Interpretations and Relativity

@article{Myrvold2002ModalIA,
  title={Modal Interpretations and Relativity},
  author={Wayne C. Myrvold},
  journal={Foundations of Physics},
  year={2002},
  volume={32},
  pages={1773-1784}
}
  • W. Myrvold
  • Published 20 September 2002
  • Mathematics, Physics
  • Foundations of Physics
A proof is given, at a greater level of generality than previous “no-go” theorems, of the impossibility of formulating a modal interpretation that exhibits “serious” Lorentz invariance at the fundamental level. Particular attention is given to modal interpretations of the type proposed by Bub. 
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References

SHOWING 1-10 OF 16 REFERENCES
Lorentz-Invariance in Modal Interpretations
Modal interpretations are hidden-variables theories, specifying at each time a set of possible properties of a system (represented by projection operators) and a probability measure over that set. We… Expand
Interpreting the Quantum World
Introduction 1. From classical to quantum mechanics 2. Bell's 'no-go' theorem 3. The Kochen and Specker 'no-go' theorem 4. The proof of interpretation 5. Quantum mechanics without observers: I 6.… Expand
Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories.
  • Hardy
  • Physics, Medicine
  • Physical review letters
  • 1992
TLDR
Bell's theorem is demonstrated, without using inequalities, for an experiment with two particles, and it is shown that, if realism and Lorentz-invariant observables are assumed, it can derive a contradiction with quantum mechanics. Expand
States, effects, and operations : fundamental notions of quantum theory : lectures in mathematical physics at the University of Texas at Austin
States and effects.- Operations.- The first Representation theorem.- Composite systems.- The second representation theorem.- 6 Coexistent effects and observables.- References.
Correlations and Physical Locality
  • A. Fine
  • Mathematics
  • PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association
  • 1980
Two principles of locality used in discussions about quantum mechanics are distinguished. The intuitive no-action-at-a distance requirement is called physical locality. There is also a mathematical… Expand
Quantum mechanics without the projection postulate
I show that the quantum state ω can be interpreted as defining a probability measure on a subalgebra of the algebra of projection operators that is not fixed (as in classical statistical mechanics)… Expand
Nonlocality, Lorentz invariance, and Bohmian quantum theory.
TLDR
A model invariant under a certain limit of Lorentz transformations, a limit retaining the characteristic feature of relativity, the nonexistence of absolute time, i.e., of simultaneity is presented. Expand
Hypersurface Bohm-Dirac models
Among the different approaches to resolving the conceptual problems of quantum theory, Bohm’s approach is perhaps the simplest.
Curiouser and Curiouser: A Personal Evaluation of Modal Interpretations
I feel honored to have been asked to write the concluding essay to this volume. I was in fact asked to comment on and discuss the implications of all the contributions to this volume, and all the… Expand
Entanglement and Open Systems in Algebraic Quantum Field Theory
Abstract Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum… Expand
...
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