ECOTICC eRASS1 Synthetic Catalogue v1.0: A Four-Parameter Scaling Law for Baryon Asymmetry in Galaxy Clusters

This deposit accompanies the paper "A Hill-Function Scaling Law for Baryon Asymmetry in Galaxy Clusters: ECOTICC Model Tested on 10,441 eRASS1 Systems." We test the ECOTICC (Efficient COsmological Thermodynamic Integration of Cluster Coevolution) prediction that galaxy cluster morphology follows a Hill function A = n/(n + R), where R = (M₅₀₀/Mc)^δ (1+z) encodes the competition between gravitational binding and radiative feedback. Energy-balance scaling arguments predict δ = 2/3 − 3/5 = 1/15 ≈ 0.067 and empirical calibration on massive clusters gives n ≈ 1.8.

Using independently measured morphological indicators for 10,441 eRASS1 clusters from the Bulbul et al. (2024) and Sanders et al. (2025) public catalogs, we find that the Hill function with predicted parameters outperforms all power-law models by ΔAICc = −890 for centroid shift w. A joint (n, δ) scan yields an empirical optimum at (1.69, 0.038); the predicted point (1.8, 1/15) lies +43 AICc from this optimum but remains vastly superior to any power-law baseline. The signal survives permutation testing (p < 10⁻⁴), S/N control, and bootstrap validation.

This deposit includes:

- The paper (PDF)

- Figure 1: joint (n, δ) scan and model comparison

- Derived catalog (CSV): ECOTICC Hill-function parameters for 10,441 clusters (DETUID join key for cross-matching with public eRASS1 catalogs)

- Complete reproduction script (Python 3) generating all results from publicly available FITS files

- Machine-readable results (JSON) with all numerical values reported in the paper

Input data required for reproduction: erass1cl_primary_v3.2.fits (Bulbul et al. 2024, A&A 685, A106) and erass1_cluster_morphology_v1.0.fits (Sanders et al. 2025, A&A 695, A160), available from https://erosita.mpe.mpg.de/edr/

Keywords: galaxy clusters, intracluster medium, X-ray astronomy, scaling relations, morphology, eROSITA