Magneto-Ionic Torsional Structuring in Cosmic Filaments: Replicated Faraday Signature Detections (SDSS DR7 & DR12 / LoTSS RM Cross-Analysis)

This dataset contains sixteen independent positive detections of magneto-ionic torsional structuring (“filament braiding”) within the cosmic web, derived from SDSS DR7 and DR12 filament catalogues cross-matched with LoTSS residual Faraday-rotation measures. Each run applies a balanced quantile structure-function analysis comparing spine–wall–far bins. All sixteen catalogues exhibit ΔSF > 0 (spine > far), confirming enhanced small-scale RM variance near filament spines — the predicted signature of I-Field torsional dynamics under the Ingress-Dimensional Interaction Hypothesis (IDIH). This work extends Pyatt (2025), “Detection of Void-Core Faraday Suppression with the LoTSS DR2 RM Grid” https://doi.org/10.5281/zenodo.17171874 advancing the analysis from cosmic-void environments to filamentary regimes. Together, these datasets provide multi-scale empirical validation of the IDIH through both void-scale and filament-scale Faraday diagnostics. The dataset includes per-bin statistics, bootstrap and jackknife replication results, the cumulative ΔSF consistency plot, and the executable Colab/Python code used for analysis. It supersedes all prior internal runs and provides a fully reproducible baseline for future magneto-ionic structure studies.