The UD Origin of Quantum Entanglement: Coherent Structure of DU in Continuous Space

Quantum entanglement is one of the most mysterious phenomena in quantum mechanics. Based on the fundamental axioms of UD theory, this paper demonstrates that quantum entanglement is the coherent structure of D_U in the continuous space U. In UD theory, space is the U attribute itself—continuous and non-local by nature. The D_U field is inherently indefinite; the D_D field is inherently definite. Superposition is a category mistake—D_U simply has no definite state until it couples to D_D. Two particles become entangled when their D_U fields form a single coherent structure in U. The coherence length is ξ = 2πe^π ℓ_P ≈ 2.3×10⁻³³ m, derived from UD constants. No wavefunction collapse occurs; no superluminal signaling is possible. The mystery of quantum entanglement is unveiled. KEY FINDINGS 1. D_U is inherently indefinite; D_D is inherently definite. Superposition is a category mistake—D_U simply has no definite state. 2. Quantum entanglement is a single coherent structure of D_U in the continuous space U—no action at a distance. 3. Coherence length is exactly ξ = 2πe^π ℓ_P ≈ 2.3×10⁻³³ m, derived from UD constants. 4. No wavefunction collapse exists—measurement is indefinite D_U coupling to definite D_D. 5. Apparent randomness is epistemic—it arises from ignorance of initial phases, not from ontic indeterminism. 6. No superluminal signaling is possible—the correlation is a static property of the extended coherent structure. ELIMINATED ASSUMPTIONS - Action at a distance → Continuity of U (space itself)- Wavefunction collapse → Continuous D_U evolution- Superposition of states → D_U is inherently indefinite- Ontic randomness → Epistemic probability- Abstract quantum states → Physical D_U field Keywords: quantum entanglement, Bell inequality, non-locality, continuous space, UD theory