用有限要求重构时空与概率,解释量子现象的根源。
Spacetime Formation under Requirements: Contextual Realization and Form-Dependent Probability
- 从有限表示能力等要求出发,动态生成时空与事件结构。
- 非对易性与干涉项是局部逻辑拼接后的投影结果。
- 适合研究认知科学、量子概率与形式化哲学的读者。
量子认知常以固定事件结构上的量子概率取代经典概率来解释顺序效应、上下文依赖和总概率律的违反。本文提出新观点:量子概率是受限于有限状态要求的上下文时空形成,在固定时空投影下的表现。框架不始于时间、空间、对象或概率,而是始于有限表征容量、单态语义稳定性、上下文敏感干预、避免显式上下文标签、世界一致性形成及主体间可转换性等要求。当这些要求无法在单一全局布尔事件结构中实现时,其不匹配在固定时空投影下表现为非对易性、干涉与类量子概率。基于先前单态上下文方法,我们将经典上下文计数成本重新解释为上下文时空形成的固定时空阴影。经典表示中的辅助记忆或上下文标签在此模型中对应局部布尔逻辑世界间的类似全息扭结的不匹配。干涉项是局部经典实现贡献非平凡粘合后投影回固定经典时空时产生的交叉项。最终给出一种超越操作的实在论:对象性、事件性、概率与时空均视为在要求下的实现形式,客观性则定义为跨观察者与历史依赖时空形成中保持不变的不变量。
原文摘要 · Abstract (English)
Quantum cognition often explains order effects, contextuality, and violations of the law of total probability by replacing classical probability with quantum probability on a fixed event structure. This paper proposes a different interpretation: quantum probability is the fixed-spacetime projection of contextual spacetime formation under finite-state requirements. The framework begins not with time, space, objects, or probabilities, but with requirements such as finite representational capacity, single-state semantic stability, context-sensitive intervention, avoidance of explicit context labels, coherent world-formation, and intersubjective transformability. When these requirements cannot be realized within a single global Boolean event structure, the mismatch appears, under fixed-spacetime projection, as noncommutativity, interference, and quantum-like probability. Building on prior single-state approaches to contextuality, we reinterpret classical contextual bookkeeping cost as the fixed-spacetime shadow of contextual spacetime formation. Auxiliary memory or context labels in a classical representation correspond, in this account, to holonomy-like mismatch among locally Boolean logic-worlds. The interference term is the cross term generated when locally classical realization contributions are nontrivially glued and projected back into a fixed classical spacetime form. The result is a transcendental-operational realist account: objecthood, eventhood, probability, and spacetime are treated as forms of realization under requirements, while objectivity is defined by invariants preserved across observer- and history-dependent spacetime formations.
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