Back to Search
Start Over
Are Quantum Spins but Small Perturbations of Ontological Ising Spins?
- Source :
-
Foundations of Physics . 2020, Vol. 50 Issue 12, p1875-1893. 19p. - Publication Year :
- 2020
-
Abstract
- The dynamics-from-permutations of classical Ising spins is generalized here for an arbitrarily long chain. This serves as an ontological model with discrete dynamics generated by pairwise exchange interactions defining the unitary update operator. The model incorporates a finite signal velocity and resembles in many aspects a discrete free field theory. We deduce the corresponding Hamiltonian operator and show that it generates an exact terminating Baker–Campbell–Hausdorff formula. Motivation for this study is provided by the Cellular Automaton Interpretation of Quantum Mechanics. We find that our ontological model, which is classical and deterministic, appears as if of quantum mechanical kind in an appropriate formal description. However, it is striking that (in principle arbitrarily) small deformations of the model turn it into a genuine quantum theory. This supports the view that quantum mechanics stems from an epistemic approach handling physical phenomena. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00159018
- Volume :
- 50
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Foundations of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 147250247
- Full Text :
- https://doi.org/10.1007/s10701-020-00370-4