Bell's Inequalities and the Accardi-Gustafson Inequality
Karl Gustafson
TL;DR
This paper explores Bell's Inequalities from a mathematical perspective, emphasizing their geometric nature and examining related issues like nonlocality, realism, and hidden variables across various viewpoints.
Contribution
It highlights the geometric interpretation of Bell's Inequalities and discusses their implications from multiple perspectives, offering a comprehensive mathematical viewpoint.
Findings
Bell's Inequalities are fundamentally geometric in nature
Multiple viewpoints provide a richer understanding of Bell's theory
Mathematical perspective clarifies foundational issues in quantum mechanics
Abstract
Many issues combine for consideration when speaking of Bell's Inequalities: nonlocality, realism, hidden variables, incompatible measures, wave function collapse, other. Each of these issues then may be viewed from several viewpoints: historical, theoretical, physical, experimental, statistical, communicational, cryptographical, and mathematical. From the mathematical viewpoint, much of the Bell theory is ``just geometry''.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography · History and advancements in chemistry