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  • Open Access
  • © 2016

The Cellular Automaton Interpretation of Quantum Mechanics

Authors:

  • A radically different approach to the challenges of quantum theory

  • Authored by one of today's most creative theoretical physicists

  • Pedagogically structured to first introduce concepts and main arguments, with technical details presented separately

Part of the book series: Fundamental Theories of Physics (FTPH, volume 185)

Buying options

Softcover Book USD 59.99
Price excludes VAT (USA)
Hardcover Book USD 59.99
Price excludes VAT (USA)

Table of contents (23 chapters)

  1. Front Matter

    Pages I-XVIII
  2. The Cellular Automaton Interpretation as a General Doctrine

    1. Front Matter

      Pages 1-1
    2. Motivation for This Work

      • Gerard ’t Hooft
      Pages 3-18Open Access
    3. Deterministic Models in Quantum Notation

      • Gerard ’t Hooft
      Pages 19-27Open Access
    4. Interpreting Quantum Mechanics

      • Gerard ’t Hooft
      Pages 29-47Open Access
    5. Deterministic Quantum Mechanics

      • Gerard ’t Hooft
      Pages 49-56Open Access
    6. Concise Description of the CA Interpretation

      • Gerard ’t Hooft
      Pages 57-87Open Access
    7. Quantum Gravity

      • Gerard ’t Hooft
      Pages 89-90Open Access
    8. Information Loss

      • Gerard ’t Hooft
      Pages 91-96Open Access
    9. More Problems

      • Gerard ’t Hooft
      Pages 97-99Open Access
    10. Alleys to Be Further Investigated and Open Questions

      • Gerard ’t Hooft
      Pages 101-108Open Access
    11. Conclusions

      • Gerard ’t Hooft
      Pages 109-117Open Access
  3. Calculation Techniques

    1. Front Matter

      Pages 119-119
    2. Introduction to Part II

      • Gerard ’t Hooft
      Pages 121-127Open Access
    3. More on Cogwheels

      • Gerard ’t Hooft
      Pages 129-134Open Access
    4. The Continuum Limit of Cogwheels, Harmonic Rotators and Oscillators

      • Gerard ’t Hooft
      Pages 135-139Open Access
    5. Locality

      • Gerard ’t Hooft
      Pages 141-145Open Access
    6. Fermions

      • Gerard ’t Hooft
      Pages 147-167Open Access
    7. $\mathit{PQ}$ Theory

      • Gerard ’t Hooft
      Pages 169-179Open Access
    8. Models in Two Space–Time Dimensions Without Interactions

      • Gerard ’t Hooft
      Pages 181-214Open Access

About this book

This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft.

Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory.

The book presents examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of ‘superdeterminism' can be overcome, at least in principle.

This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an “arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author’s earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory.

Keywords

  • Deterministic quantum mechanics
  • Cellular automaton theory of quantum physics
  • 't Hooft interpretation of quantum mechanics
  • Quantum mechanics as a tool
  • Superdeterminism in physics
  • Reconciling Bell's theorem and determinism

Authors and Affiliations

  • Institute for Theoretical Physics, Utrecht University Institute for Theoretical Physics, Utrecht, The Netherlands

    Gerard 't Hooft

About the author

Gerard 't Hooft is professor of theoretical physics at Utrecht University, The Netherlands. He was awarded the Nobel Prize in 1999, together with his thesis advisor Martinus Veltman, for “elucidating the quantum structure of electroweak interactions”. In his subsequent work he has made further major contributions in areas including black-hole physics, quantum gravity, the holographic principle, gauge theory, and the foundations of quantum mechanics.

Bibliographic Information

Buying options

Softcover Book USD 59.99
Price excludes VAT (USA)
Hardcover Book USD 59.99
Price excludes VAT (USA)