量子有效市场假说:经典有效市场理论的量子重构与一般化拓展(Quantum Efficient Market Hypothesis: Quantum Reconstruction and Generalized Expansion of Classical Efficient Market Theory)
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摘 要:有效市场假说(Efficient Market Hypothesis,EMH)是现代金融理论、资产定价与投资决策的核心基石。经典有效市场理论建立在理性预期、信息线性反映、唯一均衡、价格服从随机游走与观测中立的强本体论假设之上,将资产价格刻画为信息充分、即时、无偏体现在价值中的确定性过程,无法解释现实金融市场普遍存在的价格超调、羊群效应、泡沫与崩盘、预期自我实现、信息非线性反应与市场在有效与无效之间频繁跃迁等典型特征。本文严格立足于金融市场运行的本体逻辑,规避物理隐喻类比,引入量子叠加、量子相干、行为纠缠、观测—坍缩与量子信息熵构造公理体系,对经典有效市场假说进行范式升级,构建一般性的量子有效市场假说(Quantum Efficient Market Hypothesis,QEMH)。本文严格证明,经典有效市场假说是量子有效市场假说在无叠加、无相干、无纠缠、无观测坍缩与完全理性条件下的退化特例;通过推导量子资产价格方程、量子市场效率指数与动态演化规律,系统阐释市场状态叠加、预期相干共振、价格—行为纠缠、观测坍缩与熵驱动演化五大核心作用机制。结合2000年互联网泡沫、2008年金融危机与2020年美股熔断等典型历史场景开展理论推演,结果表明:量子有效市场能够统一解释动量、反转、规模效应、日历效应、泡沫与崩盘等全谱系金融异象。本研究实现了有效市场理论与行为金融理论的范式统一,为资产定价、风险管理、市场监管与投资策略提供全新的基础性分析范式。
关键词:量子有效市场;有效市场假说;叠加态;预期相干;观测—坍缩;金融异象;行为金融
Abstract
Abstract: The Efficient Market Hypothesis (EMH) is the core cornerstone of modern financial theory, asset pricing, and investment decision-making. The classical efficient market theory is based on the strong ontological hypothesis of rational expectations, linear information reflection, unique equilibrium, and price obeying random walk and observation neutrality. It depicts asset prices as a deterministic process in the present value of full, immediate, and unbiased information. It cannot explain the typical characteristics of the prevailing real financial markets, such as price overshoot, herding effect, foam and crashes, expected self realization, nonlinear information response, and frequent transitions between effective and ineffective markets. This article is strictly based on the ontological logic of financial market operation, avoiding physical metaphors and analogies. It introduces an axiomatic system consisting of quantum superposition, quantum coherence, behavioral entanglement, observation collapse, and quantum information entropy to upgrade the paradigm of the classical efficient market hypothesis and construct a general quantum efficient market hypothesis (QEMH). This article rigorously proves that the classical efficient market hypothesis is a degenerate special case of the quantum efficient market hypothesis under the conditions of no superposition, no coherence, no entanglement, no observation collapse, and complete rationality; By deriving the quantum asset price equation, quantum market efficiency index, and dynamic evolution laws, the five core mechanisms of market state superposition, expected coherent resonance, price behavior entanglement, observation collapse, and entropy driven evolution are systematically explained. The theoretical deduction is carried out in combination with the typical historical scenarios such as the Internet foam in 2000, the financial crisis in 2008 and the US stock circuit breaker in 2020. The results show that the quantum efficient market can uniformly explain the full spectrum financial anomalies such as momentum, reversal, scale effect, calendar effect, foam and crash. This study has achieved the paradigm unification of efficient market theory and behavioral finance theory, providing a new fundamental analytical paradigm for asset pricing, risk management, market regulation, and investment strategies.
Keywords: quantum efficient market; Efficient market hypothesis; Superposition state; Expected coherence; Observation-collapse; Financial anomaly; Behavioral Finance
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量子有效市场假说：经典有效市场理论的量子重构与一般化拓展.pdf
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- Quantum Efficient Market Hypothesis: Quantum Reconstruction and Generalized Expansion of Classical Efficient Market Theory