S/E Partition Pilot — Ising-like Synthetic Demo (F·I·S·E Validation Package) This dataset accompanies the Law of Responsiveness white paper and provides a reproducible pilot for computing the S/E partition—the split between dissipated (S) and elastic (E) transformation potential—using the formula dR = F · gg · dΦ. The package includes a synthetic Ising-like critical-window dataset, Python scripts, and results demonstrating how independent estimation of F (efficity) and I (irreversibility) naturally yields the normalized partition F : S : E ≈ 50 : 30 : 20 with quantitative closure.

This dataset provides a reproducible demonstration of independent estimation of S (dissipation) and E (elasticity) from the Law of Responsiveness proportional form dR = F · gg · dΦ, applied to a synthetic Ising-like critical-window time series. The package contains: data/ising_like_series.csv — synthetic dataset emulating Ising spin dynamics near criticality scripts/compute_partition.py — fully reproducible Python script to compute F, I, S, E results/F_I_SE_summary.csv — tabulated output with confidence intervals figures/partition_bars.png — visualization of normalized partition (≈ 57 : 28 : 15) README.md — methods overview and reproduction instructions Purpose: to demonstrate how S and E can be independently recovered using an irreversibility metric (I) derived from time-reversal asymmetry, yielding the normalized partition S = (1 − F) · I, E = (1 − F) · (1 − I), with F + S + E ≈ 1. This pilot package underpins Section 4.3 (“Independent Measurement of S and E via Irreversibility Partitioning”) of the Law of Responsiveness white paper and serves as a reproducibility reference for later real-data validations.本数据集提供了可复现的演示案例，用于基于比例型响应定律（Law of Responsiveness proportional form）独立估算耗散量S与弹性量E，该定律的数学表达式为： dR = F · gg · dΦ 该演示应用于合成类伊辛临界窗口时间序列（Ising-like critical-window time series）。 本工具包包含以下文件： - data/ising_like_series.csv：模拟临界态附近伊辛自旋（Ising spin）动力学的合成数据集 - scripts/compute_partition.py：可完全复现的Python脚本，用于计算F、I、S、E参数 - results/F_I_SE_summary.csv：包含置信区间的制表汇总结果 - figures/partition_bars.png：归一化分配量（normalized partition）的可视化结果，比例约为57:28:15 - README.md：方法概述与复现操作指南 本工具包的核心目标为演示如何借助由时间反演不对称性（time-reversal asymmetry）推导得到的不可逆性度量（irreversibility metric，I）独立还原S与E，进而得到满足以下关系的归一化分配量： S = (1 − F) · I, E = (1 − F) · (1 − I), 且 F + S + E ≈ 1 该试点工具包支撑了《响应定律》白皮书（Law of Responsiveness white paper）的4.3章节《通过不可逆性分配独立测量S与E》，并可作为后续真实数据集验证的可复现性参考依据。