Quantum Entanglement as a Manifestation of Higher-Dimensional Unification

This paper proposes a hypothesis in which two entangled particles, while spatially separated in four-dimensional spacetime, can instantaneously share spin information because they occupy the same location—or are the same object—in higher-dimensional space. The model suggests that quantum entanglement arises not from superluminal communication, but from a deeper geometric identity in extra dimensions. The entangled wavefunction is expressed as: Ψ(X) = ψ₄(x₁, x₂) ⊗ δ(y₁ - y₂)with \(y₁, y₂\) representing coordinates in compactified higher dimensions. An effective Lagrangian formulation is introduced: L(Ψ) = ∫ dⁿy₁ dⁿy₂ δ(y₁ - y₂) Ψ* Ĥ ΨThis framework parallels D-brane physics and noncommutative geometry, and aligns with the ER=EPR conjecture. Observable consequences may include deviations in Bell-test correlations under extreme conditions, suggesting a new geometrical lens for quantum entanglement.