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Pilot-wave theory and quantum fields.

Ward Struyve1

  • 1Institute of Theoretical Physics, K U Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium.

Reports on Progress in Physics. Physical Society (Great Britain)
|January 8, 2022
PubMed
Summary
This summary is machine-generated.

Pilot-wave theories offer solutions to quantum measurement problems using additional variables. This paper reviews and develops field-based pilot-wave theories for various quantum fields.

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Area of Science:

  • Quantum Mechanics
  • Theoretical Physics
  • Foundations of Physics

Background:

  • Pilot-wave theories address the quantum measurement problem by introducing additional variables (beables) alongside the state vector.
  • These beables can represent particle positions, field configurations, or strings, offering alternative interpretations of quantum mechanics.

Purpose of the Study:

  • To provide an overview and further development of pilot-wave theories utilizing field configurations as beables.
  • To explore and compare various bosonic and fermionic quantum field theories within this framework.

Main Methods:

  • Review and analysis of existing pilot-wave theories for quantum fields.
  • Development and comparison of specific models, including Bohm's and Valentini's theories for the electromagnetic field.
  • Examination of Holland's and Valentini's proposals for fermionic fields.

Main Results:

  • The pilot-wave theories proposed by Bohm and Valentini for the electromagnetic field are found to be equivalent.
  • Further work is needed to validate Holland's model for fermionic fields against standard quantum predictions.
  • A significant challenge is identified in Valentini's model for fermionic fields.

Conclusions:

  • Field-based pilot-wave theories offer a promising avenue for understanding quantum phenomena.
  • Specific models require further refinement and validation to fully reproduce established quantum mechanical results.
  • Challenges remain in developing consistent and predictive pilot-wave theories for all quantum fields.