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Journal of Quantum Information Science 2026

Beyond Quantum Mechanics: Local QM Space-Time Algebra Prediction of the Singlet State

DOI: 10.4236/jqis.2026.162008, PP. 226-239

Carl F. Diether III

Keywords: Space-Time Algebra, Quantum Mechanics, Locality, Singlet State, Bell’s Theorem

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Abstract:

I derive the quantum mechanical prediction $？ a \cdot b$ for the singlet spin state using local measurement functions within the Space-Time Algebra (STA) framework. I establish a compact and computationally tractable STA representation of the two-particle singlet state, $Ψ = \frac{1}{2} (I σ_{2}^{(1)} ？ I σ_{2}^{(2)})$ , which is simpler than previously published forms but is not required for the correlation calculation. The analysis shows that STA naturally generates both scalar dot-product terms $(a \cdot s_{1})$ and $(s_{2} \cdot b)$ and bivector wedge-product terms $(a \land s_{1})$ and $(s_{2} \land b)$ from local spin-detector interactions, whereas standard quantum

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