On the Origins of Quantum Correlations
Joy Christian (Oxford)

TL;DR
This paper explains the unique strength of quantum correlations by linking them to symmetries of a parallelized 7-sphere, showing they can be understood as classical correlations within this mathematical structure.
Contribution
It introduces a novel geometric framework connecting quantum correlations to the symmetries of a parallelized 7-sphere, providing a local-realistic explanation.
Findings
Quantum correlations are linked to symmetries of a parallelized 7-sphere.
Any quantum correlation can be modeled as a classical correlation on this sphere.
The framework offers a new perspective on the physical origin of quantum correlations.
Abstract
It is well known that quantum correlations are not only more disciplined (and hence stronger) compared to classical correlations, but they are more disciplined in a mathematically very precise sense. This raises an important physical question: What is responsible for making quantum correlations so much more disciplined? Here we explain the observed discipline of quantum correlations by identifying the symmetries of our physical space with those of a parallelized 7-sphere. We substantiate this identification by proving that any quantum correlation can be understood as a classical, local-realistic correlation among a set of points of a parallelized 7-sphere.
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Taxonomy
TopicsQuantum Mechanics and Applications · Algebraic and Geometric Analysis · Advanced Mathematical Theories and Applications
