数的密度聚类理论:静力学核心 / Numbers as Density Clusters: The Static Core

数的密度聚类理论(静力学核心):数学对象为二元组 (m,p)——质量与形状分布。四条静力学公理(存在性/不可归零/合并/共振)生长出完整代数结构;核心定理表明标准数学精确地是密度聚类代数在 δ 对齐子空间上的特例(还原误差机器精度 1.78e-14);共振与概率论巴氏系数、量子力学波函数内积构成定理级同构;共振迭代=贝叶斯收缩=退相干。本文为 Wigner「数学不合理的有效性」给出结构性回答。English edition included. The density-cluster theory of numbers (static core): a mathematical object is a pair (m, p) — mass and shape distribution. Four static axioms generate a complete algebra; the central theorem shows standard mathematics is exactly the special case on the δ-aligned subspace (machine precision, 1.78e-14); resonance forms theorem-level isomorphisms with probability (Bhattacharyya) and quantum mechanics (wavefunction overlap); iterated resonance = Bayesian contraction = decoherence. A structural answer to Wigner's unreasonable effectiveness of mathematics.