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Local Quantum Mechanical Prediction of the Singlet State Using Geometric Algebra
Einstein Centre for Local-Realistic Physics, Santa Rosa, CA, USA
- 1 Einstein Centre for Local-Realistic Physics, Santa Rosa, CA, USA
Journal of Quantum Information Science·Volume 15 (2025)·Pages 147–158·Published 28 October 2025·DOI10.4236/jqis.2025.154010
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Abstract
We deduce the quantum mechanical prediction of − a ⋅ b for the singlet spin state employing local measurement functions following Bell’s approach. This result represents the quantum mechanical expectation value for the joint measurement of spin projections in the singlet state. And is equal to the negative cosine of the angle between vectors a and b . Our derivation is corroborated through a computational simulation conducted in the Mathematica programming environment using geometric algebra.
KeywordsQuantum MechanicsLocalitySinglet StateBell’s Theorem
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