PhilSci Archive

What Really Sets the Upper Bound on Quantum Correlations?

Christian, Joy (2011) What Really Sets the Upper Bound on Quantum Correlations? [Preprint]

[img]
Preview
PDF
1101.1958v1.pdf

Download (337kB)

Abstract

The discipline of parallelization in the manifold of all possible measurement results is shown to be responsible for the existence of all quantum correlations, with the upper bound on their strength stemming from the maximum of possible torsion within all norm-composing parallelizable manifolds. A profound interplay is thus uncovered between the existence and strength of quantum correlations and the parallelizability of the spheres S^0, S^1, S^3, and S^7 necessitated by the four real division algebras. In particular, parallelization within a unit 3-sphere is shown to be responsible for the existence of EPR and Hardy type correlations, whereas that within a unit 7-sphere is shown to be responsible for the existence of all GHZ type correlations. Moreover, parallelizability in general is shown to be equivalent to the completeness criterion of EPR, in addition to necessitating the locality condition of Bell. It is therefore shown to predetermine both the local outcomes as well as the quantum correlations among the remote outcomes, dictated by the infinite factorizability of points within the spheres S^3 and S^7. The twin illusions of quantum entanglement and non-locality are thus shown to stem from the topologically incomplete accountings of the measurement results.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Christian, Joyjoy.christian@wolfson.ox.ac.uk
Keywords: Quantum Correlations, EPR argument, Completeness Criterion, Bell's Theorem, Division Algebras, Teleparallel Gravity
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Joy Christian
Date Deposited: 16 Jan 2011 14:26
Last Modified: 16 Jan 2011 14:26
Item ID: 8457
URI: http://philsci-archive.pitt.edu/id/eprint/8457

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item