Quantum phenomena modelled by interactions between many classical worlds

@article{Hall2014QuantumPM,
  title={Quantum phenomena modelled by interactions between many classical worlds},
  author={Michael J. W. Hall and Dirk - Andr'e Deckert and Howard M. Wiseman},
  journal={Bulletin of the American Physical Society},
  year={2014},
  volume={2015}
}
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 solely from a universal interaction between these worlds, without reference to any wave function. Here, a "world" means an entire universe with well-defined properties, determined by the classical configuration of its particles and fields. In our approach, each world evolves deterministically… Expand

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References

SHOWING 1-10 OF 32 REFERENCES
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 fromExpand
Real World Interpretations of Quantum Theory
I propose a new class of interpretations, real world interpretations, of the quantum theory of closed systems. These interpretations postulate a preferred factorization of Hilbert space and preferredExpand
Bohmian mechanics without pilot waves
Abstract In David Bohm’s causal/trajectory interpretation of quantum mechanics, a physical system is regarded as consisting of both a particle and a wavefunction, where the latter “pilots” theExpand
Grounding Bohmian mechanics in weak values and bayesianism
Bohmian mechanics (BM) is a popular interpretation of quantum mechanics (QM) in which particles have real positions. The velocity of a point x in configuration space is defined as the standardExpand
A survey of Bohmian mechanics
SummaryBohmian mechanics is the most naively obvious embedding imaginable of Schrödinger’s equation into a completely coherent physical theory. It describes a world in which particles move in aExpand
"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 asExpand
Incompleteness of trajectory-based interpretations of quantum mechanics
Trajectory-based approaches to quantum mechanics include the de Broglie?Bohm interpretation and Nelson's stochastic interpretation. It is shown that the usual route to establishing the validity ofExpand
Quantum Mechanics as Classical Physics
Here I explore a novel no-collapse interpretation of quantum mechanics that combines aspects of two familiar and well-developed alternatives, Bohmian mechanics and the many-worlds interpretation.Expand
Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation
Abstract We describe the particle method in quantum mechanics which provides an exact scheme to calculate the time-dependent wavefunction from a single-valued continuum of determinstic trajectoriesExpand
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 aExpand
...
1
2
3
4
...