A Conjecture on the Amount of Non-Locality

2011/03/24 by Alexei Grinbaum, Grinbaum, Alexei
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Combinatorics #Conjecture #FOS: Physical sciences #Linguistics #Locality #Mathematical Analysis and Transform Methods #Mathematical economics #Mathematics #Philosophy #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1103.4810

Paper withdrawn. This line of research now continues with 1501.02710

openalex publication_date 2011/03/24 · arxiv created 2015/09/24 · arxiv updated 2015/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Imagine a world in which there exist physical resources for non-local correlations whose CHSH value lies between 2 and X≤ 4. Assume that such resources can be mixed in some sense. Using Connes's result on the extension of characteristic 1 semi-rings, we conjecture a possible motivation for quantum mechanical resources obeying the Tsirelson bound X=2√(2).

Citations

• Characteristic one, entropy and the absolute point
• Nonlocality as an axiom for quantum theory
• Nonlocality Distillation and Postquantum Theories with Trivial Communication Complexity
• Limit on Nonlocality in Any World in Which Communication Complexity Is Not Trivial
• Implausible Consequences of Superstrong Nonlocality

Related

• A Limit on Non-Locality Distillation
• Efficacy of non-locality theorems "without inequalities" for pairs of spin 1/2 particles
• Is non-locality stronger in higher dimensions?
• Locality in Quantum Systems
• Non-locality and quantum theory: new experimental evidence