Phantom-Net Experimental Results V2.2 – Empirical Verification and Cross-Survey Benchmarks

Description:This record contains the final empirical validation of the Phantom-Net (PN) field equation, integrating theoretical closure, numerical implementation, and observational benchmarking.The accompanying dataset PN_Master_Catalog_V12_main.csv provides all variables used in the analysis (Sections 3 and 4) including redshift z, cluster mass M₅₀₀, X-ray luminosity L₅₀₀, SZ signal Y₅R₅₀₀, temperature Tₓ, ΔAIC, R², and residual statistics.Empirical tests confirm that PN’s quadratic redshift term (z²) captures genuine cosmological evolution, outperforming General Relativity for z ≥ 0.6.All results are reproducible via the open-source pipeline:python pn_test_runner_v12.py --config PN_Master.yaml --version V12.3Only this master dataset is required for full empirical replication. Notes:The file PN_Master_Catalog_V12_main.csv is verified via SHA-256 checksum and forms part of the PN_Master_V12.3 Package.All values are dimensionally consistent and validated under the Ethical Geometry Principle – Transparency = reciprocity of knowledge; reproducibility = coherence of method.