Authors: Ichiro Tsukamoto
Quantum entanglement, wherein a measurement on one particle instantaneously determines the spin state of another, challenges the locality and causality principles in four-dimensional spacetime. I hypothesize that two entangled electrons are unified as a single higher-dimensional object across compactified extra dimensions (5th to 11th dimensions). Embedding the entangled wavefunctionψ(xu2081, xu2082) = (1/√2) [|↑⟩u2081|↓⟩u2082 ± |↓⟩u2081|↑⟩u2082]into an extended configuration space X = (xu2081, xu2082, yu2081, yu2082) with a delta-function constraint δ(yu2081 - yu2082), I interpret entanglement not as nonlocal influence, but as a manifestation of geometric unity in higher dimensions. I further develop a higher-dimensional Schrödinger equation to describe the dynamics:iℏ ∂Ψ(xu2081, xu2082, y, t)/∂t = ( -ℏ²/2mu2081 ∇²_{xu2081} - ℏ²/2mu2082 ∇²_{xu2082} - ℏ²/2m_y ∇²_{y} + V(xu2081, xu2082, y) ) Ψ(xu2081, xu2082, y, t)My model offers a geometrical reinterpretation of quantum entanglement as projections of a single coherent higher-dimensional entity and suggests new pathways for understanding quantum foundations and spacetime structure.
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