Reproducibility Package: Surrogate Testing of Normalized Prime Gaps via MI/CMI under IAAFT Nulls

This archive contains the full reproducibility package for the manuscript: Information-Theoretic Surrogate Testing of Normalized Prime Gaps: Mutual and Conditional Mutual Information Under IAAFT Nulls (Angelina Hintsanen, NEXUS AI Lab). The package includes Python scripts, configuration metadata, CSV outputs, and publication-quality figures for three experiment phases: Phase B1: Mutual information (MI) lag sweep on normalized prime gaps with IAAFT surrogate hypothesis testing Phase B2: MI surrogate testing on four control sequences (null validation suite) Phase B3: Conditional mutual information (CMI) lag sweep with growing-conditioning structure test All outputs are provided as produced by the pipeline: per-lag result tables, run metadata JSON, and PNG/PDF plots. The archive is designed for independent replication and extension. Contents PrimeGap_PhaseB1_MI_* (results + metadata + figures) PrimeGap_PhaseB2_controls_* (controls + summary tables + figures) PrimeGap_PhaseB3_CMI_* (results + metadata + figures) prime gaps, primes, information theory, mutual information, conditional mutual information, surrogate data, IAAFT, nonlinear dependence, computational number theory, experimental mathematics, kNN estimator, KSG estimator, Frenzel-Pompe本归档文件包含对应手稿的完整可复现包：《归一化素数间隙的信息论替代检验：IAAFT零假设下的互信息与条件互信息》（Angelina Hintsanen，NEXUS AI Lab）。 本包涵盖用于三个实验阶段的Python脚本、配置元数据、CSV输出文件以及符合出版级标准的图表： 阶段B1：基于IAAFT替代假设检验的归一化素数间隙互信息（mutual information, MI）滞后扫描实验 阶段B2：针对四组对照序列的互信息替代检验实验（零假设验证套件） 阶段B3：伴随增长型条件结构检验的条件互信息（conditional mutual information, CMI）滞后扫描实验 所有输出均为流水线生成的原始结果：各滞后阶数的结果表格、运行元数据JSON文件，以及PNG/PDF格式的绘图文件。本归档文件旨在支持独立复现与扩展研究。 内容 PrimeGap_PhaseB1_MI_* （结果文件+元数据+图表 PrimeGap_PhaseB2_controls_* （对照序列+汇总表格+图表 PrimeGap_PhaseB3_CMI_* （结果文件+元数据+图表 关键词：素数间隙（prime gaps）、素数（primes）、信息论（information theory）、互信息（mutual information）、条件互信息（conditional mutual information）、替代数据（surrogate data）、迭代振幅调整傅里叶变换（Iterative Amplitude Adjusted Fourier Transform, IAAFT）、非线性依赖（nonlinear dependence）、计算数论（computational number theory）、实验数学（experimental mathematics）、k近邻估计器（k-nearest neighbor estimator, kNN estimator）、KSG估计器（KSG estimator）、弗伦策尔-庞贝估计器（Frenzel-Pompe estimator）