The Cellular Automaton Interpretation of Quantum Mechanics

Abstract

When investigating theories at the tiniest conceivable scales in nature, almost all researchers today revert to the quantum language, accepting the verdict from the Copenhagen doctrine that the only way to describe what is going on will always involve states in Hilbert space, controlled by operator equations. Returning to classical, that is, non quantum mechanical, descriptions will be forever impossible, unless one accepts some extremely contrived theoretical constructions that may or may not reproduce the quantum mechanical phenomena observed in experiments. Dissatisfied, this author investigated how one can look at things differently. This book is an overview of older material, but also contains many new observations and calculations. Quantum mechanics is looked upon as a tool, not as a theory. Examples are displayed of models that are classical in essence, but can be analysed by the use of quantum techniques, and we argue that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analyse a system that could be classical at its core. We explain how such thoughts can conceivably be reconciled with Bell's theorem, and how the usual objections voiced against the notion of `superdeterminism' can be overcome, at least in principle. Our proposal would eradicate the collapse problem and the measurement problem. Even the existence of an "arrow of time" can perhaps be explained in a more elegant way than usual. Discussions added in v3: the role of the gravitational force, a mathematical physics definition of free will, and an unconventional view on the arrow of time, amongst others.

259 pages, 21 figures. Thoroughly rewritten version

References in corpus (6)

• Quantum origin of quantum jumps: Breaking of unitary symmetry induced by information transfer and the transition from quantum to classical
• Testing Bell's Inequality with Cosmic Photons: Closing the Setting-Independence Loophole
• Entangled quantum states in a local deterministic theory
• The Conformal Constraint in Canonical Quantum Gravity
• Parts and Wholes. An Inquiry into Quantum and Classical Correlations
• Relating the quantum mechanics of discrete systems to standard canonical quantum mechanics

Cited by in corpus (23)

• On the Compton clock and the undulatory nature of particle mass in graphene systems
• Superdeterminism: A Guide for the Perplexed
• Quantumness of discrete Hamiltonian cellular automata
• Reflections on the renormalization procedure for gauge theories
• Accommodating Retrocausality with Free Will
• Quantum computing with classical bits
• Quantum Mechanics and the Principle of Least Radix Economy
• Quantum Mechanics, Gravity and Modified Quantization Relations
• Quantum models as classical cellular automata
• A Lagrangian-Driven Cellular Automaton Supporting Quantum Field Theory
• Quantum fermions from classical bits
• From Quantum Foundations of Quantum Field Theory, String Theory and Quantum Gravity to Dark Matter and Dark Energy
• Bohmian trajectories for Kerr-Newman particles in complex space-time
• A functional model of interactions in quantum theory
• $p$-adic Distance, Finite Precision and Emergent Superdeterminism: A Number-Theoretic Consistent-Histories Approach to Local Quantum Realism
• Boltzmann machines as thermal models for quantum systems
• Schroedinger vs. Navier-Stokes
• Generalised complex geometry in thermodynamical fluctuation theory
• Why Finite Mathematics Is The Most Fundamental and Ultimate Quantum Theory Will Be Based on Finite Mathematics
• Simulation model of spacetime with the Minkowski metric
• Quantization due to the time evolution, with applications to Quantum Yang-Mills theory, Quantum Gravity and Classical Statistical Field Theory
• Invariant Set Theory
• Dynamic Switching Networks: A Dynamic, Non-local, and Time-independent Approach to Emergence