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Complex adaptive learning is intelligent. It is adaptive, learns in feedbackloops, and generates hidden patterns as many individuals, elements or particlesinteract in complex adaptive systems (CASs). It is uncertain and crucial inlife and inanimate complex systems. However, it is challenging to simulate andreveal its mechanism. Quantifying the uncertainty by probability waves in CASs,the authors attempt to extract a law of complex adaptive learning from asubject's intelligent trading volume-price probability wave equation in thefinancial markets, apply it to inanimate complex quantum systems that obey thelaw and have innovative two-worlds interpretations of the quantum entanglementdebated for nearly a century. It says particles possess an intelligence-likeproperty in interactive coherence and violate Newton's laws if cumulativequantity or volume in a time interval represents momentum in complex adaptivequantum systems. It concludes that quantum entanglement is not a superpositionof two coherent states as mainstream Copenhagen interprets. It is a coherentstate in interaction between two opposite, adaptive, and complementary forces.The two intelligent powers keep an invariance of interaction and generateparticles' interactively coherent entanglement with two opposite properties ina bipartite complex adaptive quantum system, suggesting industrializedproduction of quantum entanglement available. Keywords: complex adaptivesystems, complex adaptive learning, intelligence-like particle, intelligentprobability wave, two-world interpretation, interactively coherent entanglementPACS: 89.75.-k (Complex Systems); 89.65.Gh (Economics, Econophysics, FinancialMarkets, Business and Management); 03.65.Ud (Entanglement and QuantumNonlocality)

A Theory of Complex Adaptive Learning Based on a Subject's Intelligent Trading Probability Wave Equation