>[!warning] >This content has not been peer reviewed. # Python Calculations — Results Summaries of the verification and evaluation calculations. The **calculation logic** is in the corresponding **Code** notes (no scripts or folders required; MD only). ## Compiled image: all core calculated proofs A single image that combines the four core-theory proof figures is built by **`expanded theory/python calculations/build_all_calculated_proofs.py`**. Output: **`all_calculated_proofs.png`** (in this folder). Run the four proof scripts first (super-relational mapping, equilibrium proof, refractive lensing, lensing refraction), then run the build script. See **[[../python calculations/Build all calculated proofs - Code]]**. | Compiled view | Location | Built by | |:---|:---|:---| | **Core proofs** (this folder) | `all_calculated_proofs.png` | `build_all_calculated_proofs.py` | | **Foundation** (10 topics) | `expanded theory applied/foundation/all_foundation_results.png` | `run_all_foundation_scripts.py` | | **Further applications** (7 apps) | `expanded theory applied/further applications/all_further_results.png` | `run_all_further_scripts.py` | ## Super-Relational Mapping | Output | Description | |:---|:---| | Identity tables | Numeric proof: identity closure, budget identity, roundtrip | | Figure | Four-force projections, budget identity curve, three regimes | **Source:** [[Super-Relational Mapping Verification]]; calculation: [[Super-Relational Mapping - Code]]. ## SPARC Evaluation | Output | Description | |:---|:---| | Summary statistics | $\Upsilon_{\text{disk}}$, $\chi^2$ rates, RST parameters (86% acceptable fits) | **Source:** [[SPARC Evaluation Verification]]; method and data: [[about systems/expanded theory/sparc evaluation/SPARC evaluation - Code]]. Data: [SPARC](http://astroweb.cwru.edu/SPARC/) (Lelli et al. 2016, AJ 152, 157; [arXiv:1606.09251](https://arxiv.org/abs/1606.09251)). Full list of predictions and data sources: **[[Predictions and data matching]]**. ## RST Lensing (disformal / refractive) | Output | Description | |:---|:---| | Refraction illustration | Deflection vs impact parameter: GR vs RST disformal | | Refractive solver | Galaxy-cluster lensing: RST vs baryons-only (Refraction Identity; Baseline 1.7) | **Source:** [[RST Lensing - Code]], [[RST Refractive Lensing - Code]]. Results: [[RST Lensing Results]]. ## RST Equilibrium Proof (Gate 1) | Output | Description | |:---|:---| | Kinematic shift plot | Main Equation: $z=0$ vs $z=2$ asymptotic velocity | **Source:** [[RST Equilibrium Proof - Code]]. **Results:** [[RST Equilibrium Proof Results]]. ## RST Main Identity (Frozen 1.7) | Output | Description | |:---|:---| | Main Identity | Single triangle → force, mass, curvature; $m_p/m_e$ from topology of scale | **Source:** [[RST Main Identity - Code]]. ## Result summaries (MD) | Note | Description | |:---|:---| | [[Super-Relational Mapping Results]] | Verification verdict and SPARC citation | | [[RST Equilibrium Proof Results]] | Gate 1 plot summary | | [[RST Lensing Results]] | Lensing refraction + refractive solver (Baseline 1.7) | | [[SPARC Evaluation Results]] | SPARC fit summary and citation |