Reply to "Comment on 'Dr. Bertlmann's Socks in a Quaternionic World of Ambidextral Reality'"

TL;DR

This paper defends a quaternionic 3-sphere model of physical space that reproduces quantum correlations locally, countering critiques and clarifying its analytical and numerical foundations.

Contribution

It clarifies and defends a geometric quaternionic framework that reproduces quantum correlations without violating locality, countering prior critiques.

Findings

The model reproduces Bell correlations locally

No mistakes found in analytical or numerical methods

Counterarguments to critique are systematically addressed

Abstract

In this paper, I respond to a critique of one of my papers previously published in this journal, entitled `Dr. Bertlmann's socks in a quaternionic world of ambidextral reality.' The geometrical framework presented in my paper is based on a quaternionic 3-sphere, or S^3, taken as a model of the physical space in which we are inescapably confined to perform all our experiments. The framework intrinsically circumvents Bell's theorem by reproducing the singlet correlations local-realistically, without resorting to backward causation, superdeterminism, or any other conspiracy loophole. In this response, I demonstrate point by point that, contrary to its claims, the critique has not found any mistakes in my paper, either in the analytical model of the singlet correlations or in its event-by-event numerical simulation based on Geometric Algebra.