Are Quantum Spins but Small Perturbations of Ontological Ising Spins?

Elze, Hans‐Thomas

doi:10.1007/s10701-020-00370-4

Cited by 6 publications

(15 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Ref. [6], we indicated how this motion can be encoded in two discrete two-component field equations. Which, in turn, can be mapped one-to-one on (1+1)-dimensional partial differential equations for bandwidth-limited classical fields with the help of Sampling Theory, e.g.…”

Section: Extracting the Spin-exchange Hamiltonianmentioning

confidence: 99%

“…[4,5], it was shown in Ref. [6] how to 'dress' ĤN=S , in order to obtain Ĥ. Namely, the latter has to act on the spin variables of a generic state |ψ , Eq. ( 12), in one-to-one correspondence to the former.…”

Section: Extracting the Spin-exchange Hamiltonianmentioning

confidence: 99%

“…In Ref. [6] several comments were made about the interpretation of the Hamiltonian Ĥ that acts on OS of the Ising spin chain -this concerns physical properties (degeneracy and magnetization of states, translation invariance), relation to a discrete field theory, and that formally the results summarized in this section yield an interesting, especially terminating Baker-Campbell-Hausdorff formula:…”

Section: Remarksmentioning

confidence: 99%

“…Generally, this will produce superposition states of OS, which would necessitate a corresponding Hilbert space of 2S 2-state quantum spins for its description, i.e. QM of qubits "by mistake" [6]. -Such perturbations could, for example, be caused by neglected or integrated out fast high-energy degrees of freedom, as suggested on other grounds recently [3].…”

Section: Remarksmentioning

confidence: 99%

“…Our aim presently is to apply recent results illustrating the Cellular Automaton Interpretation of quantum mechanics [1,2,3,4,5,6] and reconsider the status of Quantum-Classical Hybrids [7], in particular. Can such hybrids exist and consistently be described in a theoretical framework according to this interpretation?…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Are Quantum-Classical Hybrids compatible with Ontological Cellular Automata?

Elze

2022

Preprint

Self Cite

View full text Add to dashboard Cite

Based on the concept of ontological states and their dynamical evolution by permutations, as assumed in the Cellular Automaton Interpretation (CAI) of quantum mechanics, we address the issue whether quantum-classical hybrids can be described consistently in this framework. We consider chains of 'classical' two-state Ising spins and their discrete deterministic dynamics as an ontological model with an unitary evolution operator generated by pair exchange interactions. A simple error mechanism is identified, which turns them into quantum mechanical objects, chains of qubits. Consequently, an interaction between a quantum mechanical and a 'classical' chain can be introduced and its consequences for this quantum-classical hybrid be studied. We find that such hybrid character of composites, generally, does not persist under interactions and, therefore, cannot be upheld consistently, or even as a fundamental notion à la Kopenhagen interpretation, within CAI.

show abstract

Section: Extracting the Spin-exchange Hamiltonianmentioning

confidence: 99%

Section: Extracting the Spin-exchange Hamiltonianmentioning

confidence: 99%

Section: Remarksmentioning

confidence: 99%

Section: Remarksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Are Quantum-Classical Hybrids compatible with Ontological Cellular Automata?

Elze

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Aspects of Superdeterminism Made Intuitive

Николаев

Vervoort

2022

Found Phys

View full text Add to dashboard Cite

Superdeterminism: a reappraisal

Andreoletti

Vervoort

2022

Synthese

View full text Add to dashboard Cite

This paper addresses a particular interpretation of quantum mechanics, i.e. superdeterminism. In short, superdeterminism i) takes the world to be fundamentally deterministic, ii) postulates hidden variables, and iii) contra Bell, saves locality at the cost of violating the principle of statistical independence. Superdeterminism currently enjoys little support in the physics and philosophy communities. Many take it to posit the ubiquitous occurrence of hard-to-digest conspiratorial and coincidental events; others object that violating the principle of statistical independence implies the death of the scientific methodology. In this paper, we offer a defense to these and other objections. To counter the conspiracy objection, we draw upon the philosophical literature on time travel, and conclude that the picture of the world offered by the superdeterminist does not need to be particularly surprising or conspiratorial. We then move on to other recent objections, in particular those that focus on the methodology of science and the nature of the physical laws compatible with superdeterminism. A key ingredient of our arguments is that the principle of statistical independence may be violated in theory, but valid for practical purposes. Our overarching goal is to offer a defense of superdeterminism with respect to its main objections, so that it can earn its keep as a legitimate contender among the possible interpretations of quantum mechanics.

show abstract

Are Quantum Spins but Small Perturbations of Ontological Ising Spins?

Cited by 6 publications

References 16 publications

Are Quantum-Classical Hybrids compatible with Ontological Cellular Automata?

Are Quantum-Classical Hybrids compatible with Ontological Cellular Automata?

Aspects of Superdeterminism Made Intuitive

Superdeterminism: a reappraisal

Contact Info

Product

Resources

About