created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Math Equations Forest Search
title: Equation Forest Index
type: text/vnd.tiddlywiki

! Equation Forest Index

The Equation Forest is a structured index of mathematical equations discovered, extracted, and mapped across the research stack. Key files: `6-Documentation/docs/EQUATION_FOREST_INDEX.md` (master index), `6-Documentation/docs/FOREST_TOPOLOGY_MAP.md` (topological organization), and `5-Applications/scripts/generate_equation_forest.py` (generator). The forest organizes equations into families (chain, coupling, entropy, feedback, gradient, mass, scaling) with parquet-tagged clustering at `3-Mathematical-Models/equations_parquet_tagged/` (26 files). The `EquationForestActiveKernels.md` and `EquationForestGenome18Encoder.py` extend to genetic encoding of equation families. Searchable via [[HNSW Vector Search]] and the [[Semantic Graph Mining]] pipeline.

!! RRC Projection Update

The Rainbow Raccoon Compiler projection pass now treats family names as
non-authoritative route hints. The review surface is the projection signature:
nearest lawful shape, top axes, weak axes, distance, and HOLD cause.

```
docs/rrc_equation_classification.md
4-Infrastructure/shim/rrc_equation_classifier_receipt.json
equation_count: 278
CANDIDATE: 29
HOLD: 249
```

Primary repair targets:

```
scale_band_declared: 249
negative_control_strength: 39
```

This updates the forest rule: do not promote by label. Promote only after a
receipt-bearing projection has enough scale-band and negative-control evidence
to survive the next proof or measurement gate.

* [[HNSW Vector Search]]
* [[Semantic Graph Mining]]
* [[RRC Equation Projection]]
* [[AVMR Adaptive Vector Manifold Representation]]
* [[Canonical Formula Index]]
* [[T16 Candidate Pipeline Equation Prior]]
* [[Cross Domain Adaptation Evidence Prior]]
* [[Nonlinear Compressed Sensing Structural Prior]]
* [[Generative Compressed Sensing Prior]]
* [[Invertible Generative Inverse Prior]]
* [[Connectome Manipulation Self Update Prior]]
* [[Holographic Fractional Recursive Connectome Prior]]
* [[Holographic Fractional Recursive Equation Fold]]
* [[Sigilith Symbolic Resilience Prior]]