# Super-Relational Mapping — Calculation Results Output from **[[Super-Relational Mapping Verification]]**; calculation: [[Super-Relational Mapping - Code]]. --- ## Verdict | Proof | Status | |:---|:---| | Identity closure (Triangle ≡ Field Equation) | **PASS** | | Budget identity (μⁿ + νⁿ = 1) | **PASS** | | Roundtrip (I → Ω → I) | **PASS** | The Resource Triangle $W^n = \Omega^n + N^n$ and the RST field equation $I = \Omega \cdot \mu$ are the same mathematical identity (verified to 12 decimal places across 6 orders of magnitude in SNR). --- ## Outputs | File | Description | |:---|:---| | `super_relational_mapping_log.txt` | Full numeric log (Proof 1–3 tables) | | `super_relational_mapping.png` | Four-force projections, budget identity, three regimes | --- ## Parameters - $n = 1.25$ (from SPARC transition-zone galaxies; Lelli et al. 2016, AJ 152, 157; [[SPARC Evaluation Verification]]) - $N = 1$ (normalized noise floor) **Citation (SPARC):** Lelli, F., McGaugh, S. S., & Schombert, J. M. (2016). *SPARC: Mass models for 175 disk galaxies...* AJ 152, 157. [arXiv:1606.09251](https://arxiv.org/abs/1606.09251). ____ ![[about systems/expanded theory/python calculations results/super_relational_mapping.png]]