Emergence of Classical Mechanics from Discrete Causal‑Information Networks: Ontological Mapping and Effective‑Theory Limits within Status‑Relational‑Entropy (SRE) Dynamics

Classical mechanics is widely understood as a macroscopic effective limit of underlying microscopic physical descriptions. Within the Status‑Relational‑Entropy (SRE) dynamical framework, spacetime, mass and force are not primitive background entities but statistical emergent outcomes governed by dissipation‑compensation duality within a discrete bidirectional causal‑information network. This paper establishes ontological mappings between core SRE network‑level observables and central quantities of Newtonian classical mechanics. Three necessary conditions for the emergence of classical‑like behaviour are identified: large‑sample coarse‑graining, sufficient environmental decoherence, and operating far from topological‑phase‑transition thresholds (the BBP spectral‑rank phase‑transition and causal‑loop coherence saturation \rho\to1). Three representative examples — inertia, the force‑mass‑acceleration relation, and Hooke’s elastic law — demonstrate statistical emergence of classical‑style behaviour when all conditions are satisfied, while also marking breakdown boundaries for each phenomenon. Conservation of momentum and conservation of energy can be traced to global closed‑loop symmetries of the underlying causal graph. This manuscript completes one conceptual segment of the SRE unified theoretical hierarchy: axiomatic causal‑information network → composite‑particle / gluon‑sea mass generation → topological electrodynamics → emergent classical mechanics → cosmological BBP‑RMT simulation constrained by spectroscopic observational datasets. This work emphasises ontological correspondence instead of exhaustive analytical reproduction of every textbook formula in analytical mechanics. Illustrative topological‑evolution derivations are supplied in the appendix for pedagogical intuition and are not regarded as rigorous core proofs of the paper. 经典力学普遍被理解为底层微观物理描述的宏观有效极限。在状态‑关系熵(SRE)动力学框架中,时空、质量、力不是原始背景实体,而是离散双向因果‑信息网络在耗散‑补偿对偶规则支配下涌现的统计结果。 本文建立SRE网络核心可观测量与牛顿经典力学核心物理量之间的本体映射;给出经典行为涌现的三项必要条件:大样本粗粒化、充分环境退相干、远离拓扑相变阈值(BBP谱秩相变、因果闭环相干饱和\rho\to1)。选取惯性、力‑质量‑加速度关系、胡克弹性定律三个典型示例,演示全部条件满足时经典行为如何统计涌现,同时指明每一种现象对应的经典描述失效边界。 动量守恒、能量守恒可以溯源到底层因果图的全局闭环闭合对称性。本文完成SRE统一理论层级中的一段概念链条:公理因果网络 → 复合粒子/胶子海质量生成 → 拓扑电动力学 → 涌现经典力学 → 基于光谱观测数据的宇宙学BBP‑RMT仿真。 本文侧重本体对应,不完成全部分析力学教科书公式的逐项解析复现;附录提供拓扑演化示意推导,仅作教学直观演示,不作为全文核心严格证明。