The Cellular Automaton Interpretation of Quantum Mechanics
Gerard 't Hooft
The Cellular Automaton Interpretation of Quantum Mechanics
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Description
Contents
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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.

Language
English
ISBN
978-3-319-41285-6
Cover
Frontmatter
1. The Cellular Automaton Interpretation as a General Doctrine
1. Motivation for This Work
2. Deterministic Models in Quantum Notation
3. Interpreting Quantum Mechanics
4. Deterministic Quantum Mechanics
5. Concise Description of the CA Interpretation
6. Quantum Gravity
7. Information Loss
8. More Problems
9. Alleys to Be Further Investigated and Open Questions
10. Conclusions
2. Calculation Techniques
11. Introduction to Part II
12. More on Cogwheels
13. The Continuum Limit of Cogwheels, Harmonic Rotators and Oscillators
14. Locality
15. Fermions
16. PQ $\mathit{PQ}$ Theory
17. Models in Two Space–Time Dimensions Without Interactions
18. Symmetries
19. The Discretized Hamiltonian Formalism in PQ $\mathit{PQ}$ Theory
20. Quantum Field Theory
21. The Cellular Automaton
22. The Problem of Quantum Locality
23. Conclusions of Part II
Backmatter
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