Spatial Degrees of Freedom in Everett Quantum Mechanics

@article{Rubin2006SpatialDO,
  title={Spatial Degrees of Freedom in Everett Quantum Mechanics},
  author={Mark A. Rubin},
  journal={Foundations of Physics},
  year={2006},
  volume={36},
  pages={1115-1159}
}
  • M. Rubin
  • Published 18 November 2005
  • Physics
  • Foundations of Physics
Stapp claims that, when spatial degrees of freedom are taken into account, Everett quantum mechanics is ambiguous due to a “core basis problem.” To examine an aspect of this claim I generalize the ideal measurement model to include translational degrees of freedom for both the measured system and the measuring apparatus. Analysis of this generalized model using the Everett interpretation in the Heisenberg picture shows that it makes unambiguous predictions for the possible results of… 
Observers and Locality in Everett Quantum Field Theory
A model for measurement in collapse-free nonrelativistic fermionic quantum field theory is presented. In addition to local propagation and effectively-local interactions, the model incorporates
2 The Deutsch-Hayden picture and quantum field theory
A model for measurement in collapse-free nonrelativistic fermionic quantum field theory is presented. In addition to local propagation and effectively-local interactions, the model incorporates
Probability, preclusion and biological evolution in Heisenberg-picture Everett quantum mechanics
TLDR
Hard preclusion can provide an explanation for biological evolution, which can in turn explain their subjective experiences of, and reactions to, "ordinary" probabilistic phenomena, and the compatibility of those experiences and reactions with what the authors conventionally take to be objective probabilities arising from physical laws.

References

SHOWING 1-10 OF 61 REFERENCES
There Is No Basis Ambiguity in Everett Quantum Mechanics
The Everett-interpretation description of isolated measurements, i.e., measurements involving interaction between a measuring apparatus and a measured system but not interaction with the environment,
Locality in the Everett Interpretation of Heisenberg-Picture Quantum Mechanics
Bell's theorem depends crucially on counterfactual reasoning, and is mistakenly interpreted as ruling out a local explanation for the correlations which can be observed between the results of
Environment-induced superselection rules
We show how the correlations of a quantum system with other quantum systems may cause one of its observables to behave in a classical manner. In particular, "reduction of the wave packet," postulated
Locality in the Everett Interpretation of Quantum Field Theory
Recently it has been shown that transformations of Heisenberg-picture operators are the causal mechanism which allows Bell-theorem-violating correlations at a distance to coexist with locality in the
Does Quantum Nonlocality Exist? Bell's Theorem and the Many-Worlds Interpretation
Quantum nonlocality may be an artifact of the assumption that observers obey the laws of classical mechanics, while observed systems obey quantum mechanics. I show that, at least in the case of
"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
Comment on "Experimental motivation and empirical consistency in minimal no-collapse quantum mechanics"
TLDR
Schlosshauer's theory of minimal no-collapse quantum mechanics for a decoherence-based subjective resolution of the measurement problem is shown that his theory is untenable for several reasons.
Relative Frequency and Probability in the Everett Interpretation of Heisenberg-Picture Quantum Mechanics
The existence of probability in the sense of the frequency interpretation, i.e., probability as “long term relative frequency,” is shown to follow from the dynamics and the interpretational rules of
Decoherence, the measurement problem, and interpretations of quantum mechanics
Environment-induced decoherence and superselection have been a subject of intensive research over the past two decades, yet their implications for the foundational problems of quantum mechanics, most
...
...