Bell's Inequality and the Λₘ/Λₑ Game: From Local Hidden Variables to an Information Ontology 贝尔不等式与Λₘ/Λₑ博弈:从定域隐变量到信息本体重述

This paper is a supplementary note to The Information Ontology of AI: From Heat Death Critique to Consensus Field — Cosmology and the Evolution of Civilization in the Information Age (Han, 2026). Since the proposal of Bell‘s inequality, numerous experiments have conclusively demonstrated the failure of local hidden-variable theories, forcing traditional physics to choose between abandoning locality or abandoning realism. Based on the meta-theory of information ontology, this paper proposes that quantum entanglement is not superluminal signalling, but rather the topological manifestation of an underlying information network under specific game-like conditions. By introducing the dynamic game model of spacetime viscosity (Λₘ) and spacetime tension (Λₑ), we offer a novel restatement of the violation of Bell’s inequality: the classical limit (CHSH inequality S ≤ 2) corresponds to a state dominated by Λₑ (tension/dispersion), the statistical boundary of the information network in a “low-coherence” state; the quantum limit (S ≈ 2.82) corresponds to a state where Λₘ (viscosity/coherence) intervenes, with entangled photon pairs being two projections of the same relational node within the information network. The “viscosity” effect of Λₘ forcibly locks the correlation strength between the two projections, allowing their correlation to transcend the “dispersion assumption” of classical statistics. This framework does not treat S as a “function” of the Λₘ/Λₑ ratio, but restates the classical and quantum limits as the game-manifestations of Λₑ-dominance and Λₘ-intervention, respectively. This restatement transforms the violation of Bell‘s inequality from “spooky action at a distance” into the “intrinsic structure of information ontology”, where measurement is not the discovery of a pre-existing relationship, but the generation of a relational node through the game. 自贝尔不等式提出以来,大量实验确凿证明了局域隐变量理论的破产,传统物理学被迫在“放弃定域性”或“放弃实在性”之间抉择。本文基于信息本体论元理论,提出量子纠缠并非超距信号传递,而是底层信息网络在特定博弈条件下的拓扑显现。通过引入时空粘度(Λₘ)与时空张度(Λₑ)的动态博弈模型,为贝尔不等式的违背提供一种全新的重述:经典极限(CHSH不等式 S ≤ 2)对应 Λₑ(张度/离散)占优的状态,即信息网络的“低凝聚”统计边界;量子极限(S ≈ 2.82)对应 Λₘ(粘度/凝聚)介入的状态,纠缠光子对是同一信息网络关系节点的两个投影,Λₘ 的“粘度”效应强制锁定了它们的关联强度,使其配合度超越经典统计的“离散假设”。本框架不将 S 作为 Λₘ/Λₑ 比值的函数去计算,而是将经典极限和量子极限分别重述为 Λₑ 占优和 Λₘ 介入的博弈显形。这一重述将贝尔不等式的违背从“鬼魅般的超距作用”还原为“信息本体的内在结构”,测量不是发现预先存在的关系,而是在博弈中生成关系节点。很长一段时间哲学在追物理解释，信息本体论预示着，物理语言该追哲学认识论了。物理学需要回答“观察者是什么”，才能回答“世界是什么”。 ​​​