Cellular Automaton Interpretation of Quantum Mechanics

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.

• I The Cellular Automaton Interpretation as a general doctrine: 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 Techniques: 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.