The Cellular Automaton Interpretation of Quantum Mechanics

by Gerard 't Hooft

I The Cellular Automaton Interpretation as a general Motivation for this work.- Deterministic models in quantum notation.- Interpreting quantum mechanics.- Deterministic quantum mechanics.- Concise description of the CA Interpretation.- Quantum gravity.- Information loss.- More problems.- Alleys to be further investigated and open questions.- Conclusions.- II Calculation Introduction to part II.- More on cogwheels.- The continuum limit of cogwheels, harmonic rotators and oscillators.- Locality.- Fermions.- PQ theory.- Models in two space-time dimensions without interactions.- Symmetries.- The discretised Hamiltonian formalism in PQ theory.- Quantum Field Theory.- The cellular automaton.- The problem of quantum locality.- Conclusions of part II.- Some remarks on gravity in 2+1 dimensions.- A summary of our views on Conformal Gravity.- Abbreviations.

Genres: Physics, Science

318 pages, Paperback

Published September 9, 2016

About the author

Gerard 't Hooft Professor at Utrecht University, the Netherlands. Shared 1999 Nobel Prize in Physics

Reviews

[Stephen Lee · Rating 2 out of 5]

I found this book somewhat disappointing. One of the advantages of expressing an idea in terms of cellular automata is that it can make it accessible to a non-technical readership. Toy models can be discussed in the text and more complex examples can be made available online. Unfortunately ’t Hooft doesn't do this at all. Whilst the author talked about cellular automata, the formulae were very quantumish. Maybe experts who examine the work deeply could tell the difference, but not me. So when he highlights that he can reproduce the predictions of quantum theory it's not that surprising.

[Jonathan Hockey · Rating 1 out of 5]

I don't think this perspective has anything to offer of interest. I am seeing little but a restatement of Copenhagen Interpretation, with some spurious ontological foundation of cellular automatons to somehow justify the Copenhagen interpretation, when it provides nothing but a mathematical analogy.