Reply to "Comment on 'Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space'"

• URL: http://arxiv.org/abs/2202.05615v1
• Date: Wed, 9 Feb 2022 23:51:06 GMT
• Title: Reply to "Comment on 'Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space'"
• Authors: Joy Christian
• Abstract summary: I respond to a critique of one of my papers previously published in this journal. That paper presents a local-realistic model of quantum correlations based on a quaternionic 3-sphere. I demonstrate that there are no mistakes of any kind in my paper.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, I respond to a critique of one of my papers previously published in this journal, entitled "Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space." That paper presents a local-realistic model of quantum correlations based on a quaternionic 3-sphere, taken as a physical space in which we are confined to perform all our experiments. The critique, on the other hand, considers two entirely different models within a flat Euclidean space, neither related to my quaternionic 3-sphere model. It then criticizes its own flat space models and claims that it has thereby criticized the model presented in my paper. Along the way, without providing evidence or proof, it claims that the results in my paper are based on mistakes. I demonstrate that there are no mistakes of any kind in my paper. On the contrary, I bring out a number of elementary mathematical and conceptual mistakes from the critique and the critiques it relies on.

Related papers

• Geometric monotones of violations of quantum realism [89.99666725996975]
  Quantum realism states that projective measurements in quantum systems establish the reality of physical properties, even in the absence of a revealed outcome. This framework provides a nuanced perspective on the distinction between classical and quantum notions of realism, emphasizing the contextuality and complementarity inherent to quantum systems. We derive geometric monotones of quantum realism using trace distance, Hilbert-Schmidt distance, Schatten $p$-distances, Bures, and Hellinger distances.
  arXiv  Detail & Related papers  (2024-12-16T10:22:28Z)
• Comment on a no-go theorem for $\psi$-ontic models [0.0]
  In a recent paper it is claimed that the whole Harrigan--Spekkens framework of ontological models is inconsistent with quantum theory. We identify some crucial mistakes in their argument to the extent that the main claim is incorrect.
  arXiv  Detail & Related papers  (2024-02-20T16:55:16Z)
• Relaxation of first-class constraints and the quantization of gauge theories: from "matter without matter" to the reappearance of time in quantum gravity [72.27323884094953]
  We make a conceptual overview of an approach to the initial-value problem in canonical gauge theories. We stress how the first-class phase-space constraints may be relaxed if we interpret them as fixing the values of new degrees of freedom.
  arXiv  Detail & Related papers  (2024-02-19T19:00:02Z)
• Response to `Comment on "Quantum correlations are weaved by the spinors of the Euclidean primitives"' [0.0]
  I respond to a critique of one of my papers entitled "Quantum correlations are weaved by the spinors of the Euclidean primitives" I demonstrate that the critique is based on a series of misunderstandings, and refute each of its claims of error.
  arXiv  Detail & Related papers  (2022-11-16T10:08:57Z)
• Penrose dodecahedron, Witting configuration and quantum entanglement [55.2480439325792]
  A model with two entangled spin-3/2 particles based on geometry of dodecahedron was suggested by Roger Penrose. The model was later reformulated using so-called Witting configuration with 40 rays in 4D Hilbert space. Two entangled systems with quantum states described by Witting configurations are discussed in presented work.
  arXiv  Detail & Related papers  (2022-08-29T14:46:44Z)
• Proofs of network quantum nonlocality aided by machine learning [68.8204255655161]
  We show that the family of quantum triangle distributions of [DOI40103/PhysRevLett.123.140] did not admit triangle-local models in a larger range than the original proof. We produce a large collection of network Bell inequalities for the triangle scenario with binary outcomes, which are of independent interest.
  arXiv  Detail & Related papers  (2022-03-30T18:00:00Z)
• Our Fundamental Physical Space: An Essay on the Metaphysics of the Wave Function [0.0]
  I review the debate between 3N-Fundamentalists and 3D-Fundamentalists and evaluate it based on three criteria. I conclude that our evidence favors the view that our fundamental physical space in a quantum world is 3-dimensional rather than 3N-dimensional.
  arXiv  Detail & Related papers  (2021-10-22T21:35:52Z)
• Cold atoms meet lattice gauge theory [72.24363031615489]
  We will consider quantum field theory models relevant for particle physics and replace the fermionic matter in these models by a bosonic one. This is motivated by the fact that bosons are more accessible'' and easier to manipulate for experimentalists, but this substitution'' also leads to new physics and novel phenomena.
  arXiv  Detail & Related papers  (2021-06-06T08:53:47Z)
• Comment on "Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space" [0.0]
  I point out critical errors in the paper "Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space" by J. Christian.
  arXiv  Detail & Related papers  (2021-02-27T14:12:07Z)
• The original Wigner's friend paradox within a realist toy model [0.0]
  The original Wigner's friend paradox highlights the tension between unitary evolution and collapse in quantum theory. We present a classical toy model in which the contradicting predictions at the heart of the thought experiment are reproduced. The debate surrounding the original Wigner's friend thought experiment and its resolution have striking similarities with arguments concerning the nature of the second law of thermodynamics.
  arXiv  Detail & Related papers  (2021-01-26T19:03:32Z)
• Non-Boolean Hidden Variables model reproduces Quantum Mechanics' predictions for Bell's experiment [91.3755431537592]
  Theory aimed to violate Bell's inequalities must start by giving up Boolean logic. "Hard" problem is to predict the time values when single particles are detected. "Soft" problem is to explain the violation of Bell's inequalities within (non-Boolean) Local Realism.
  arXiv  Detail & Related papers  (2020-05-20T21:46:35Z)
• Quantum-like modeling of the order effect in decision making: POVM viewpoint on the Wang-Busemeyer QQ-equality [77.34726150561087]
  Wang and Busemeyer invented a quantum model and approach as well as non-parametric equality (so-called QQ-equality) This note is to test the possibility to expand the Wang-Busemeyer model by considering questions which are mathematically represented by positive operator valued measures. But, we also showed that, in principle, it is possible to reduce expanded model to the original Wang-Busemeyer model by expanding the context of the questions.
  arXiv  Detail & Related papers  (2018-10-31T18:11:37Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.