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

TL;DR

This paper defends a quaternionic 3-sphere model of quantum correlations against a critique that misattributes errors, clarifying the validity of the original local-realistic approach.

Contribution

It clarifies and defends the quaternionic 3-sphere model of quantum correlations, refuting critiques based on unrelated flat Euclidean space models.

Findings

No mistakes found in the original paper

Critique's models are unrelated and flawed

Original quaternionic model remains valid

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.