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Understanding Bell's Inequality: A Comprehensive Proof

Explore the proof of Bell’s Inequality following Harrison's method, demonstrating that A-B + B-C ≥ A-C holds true for all A, B, and C. The detailed explanation shows why the inequality can't be negative and how it simplifies to A-B + B-C ≥ A-C. Dive into the logic step by step to gain a deep understanding of this fundamental concept.

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Understanding Bell's Inequality: A Comprehensive Proof

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  1. Bell’s Inequality (Following Harrison) • A-B + B-C ≥ A-C • This will be true for all A, B, C.

  2. Proof • A-BC + -AB-C ≥ 0 Can’t be negative • Add A-B-C + AB-C to both sides • Right side: 0 + A-B-C + AB-C • A-B-CAB-C All are either • -------- B or -B • A-C

  3. Proof Cont. • Left Side • A-BC + -AB-C • A-B-C + AB-C • ------------------- • A-B + B-C • Putting the two sides together gives Bell’s Inequality. • A-B + B-C ≥ A-C

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