Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Nonlocality or Superposition? The Source of Quantum Contextuality

Version 1 : Received: 29 September 2022 / Approved: 29 September 2022 / Online: 29 September 2022 (08:53:24 CEST)

How to cite: Mardari, G. Nonlocality or Superposition? The Source of Quantum Contextuality. Preprints 2022, 2022090463. https://doi.org/10.20944/preprints202209.0463.v1 Mardari, G. Nonlocality or Superposition? The Source of Quantum Contextuality. Preprints 2022, 2022090463. https://doi.org/10.20944/preprints202209.0463.v1

Abstract

Euclidean theorems are indisputable in flat spaces, but do not hold in curved spaces. Likewise, Bell’s Theorem is true for jointly distributed variables in Kolmogorov probability spaces. Yet, quantum spin variables are not jointly distributed and cannot coexist in Kolmogorov spaces. They have different qualities and operate by different rules. Therefore, Bell’s Theorem does not entail that quantum theory is non-local. The question remains: what is the origin of quantum contextuality? Other theories (not quantum theory) need nonlocality or super-determinism to make similar predictions, because they cannot violate Bell-type inequalities, but why is quantum theory different? The answer is found in the analysis of quantum superposition, in the context of a much older debate about the ontology of linear wave superposition.

Keywords

quantum superposition; EPR paradox; nonlocality; Bell's Theorem; contextuality

Subject

Physical Sciences, Quantum Science and Technology

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