ABSTRACT 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 DU in the continuous space U. In UD theory, space is the U attribute itself—continuous and non-local by nature. The DU field is inherently indefinite; the DD field is inherently definite. Superposition is a category mistake—DU simply has no definite state until it couples to DD. Two particles become entangled when their DU fields form a single coherent structure in U. The coherence length is ξ = 2πe^π ℓP ≈ 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. DU is inherently indefinite; DD is inherently definite. Superposition is a category mistake—DU simply has no definite state. 2. Quantum entanglement is a single coherent structure of DU in the continuous space U—no action at a distance. 3. Coherence length is exactly ξ = 2πe^π ℓP ≈ 2. 3×10^-33 m, derived from UD constants. 4. No wavefunction collapse exists—measurement is indefinite DU coupling to definite DD. 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 DU evolution- Superposition of states → DU is inherently indefinite- Ontic randomness → Epistemic probability- Abstract quantum states → Physical DU field Keywords: quantum entanglement, Bell inequality, non-locality, continuous space, UD theory
Dan Zhu (Wed,) studied this question.