# hyconiek/fractal-nadsoliton-theory architecture
> Architecture diagram of the GitHub repository hyconiek/fractal-nadsoliton-theory, generated by GitDiagram from its file tree, README and a sample of source files (last updated 2026-11-11). It is an AI-made overview: check details against the source.
- Interactive diagram: https://gitdiagram.com/hyconiek/fractal-nadsoliton-theory
- Repository: https://github.com/hyconiek/fractal-nadsoliton-theory
## Overview
This repository is a collection of independent mathematical-physics research and verification scripts, not one integrated application. The sampled operational pattern is an analyst running a scoped replay or audit, which checks inputs and applies interval or certificate calculations to produce a verification result. Separate branches cover rank-7 interval checks, laboratory semigroup analysis, and graph-generation auditing. The README is empty; connections below are limited to relationships shown by sampled source or the source index, so this is not a complete map of the repository’s many research files.
Main entry points: [`fin_r7o2_review/review.py`](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_r7o2_review/review.py) (R7O2 audit), [`fin_rank7_followup/src/intervals.py`](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_rank7_followup/src/intervals.py) (Rational intervals), [`fin_rank7_intake_review/verify_continuation.py`](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_rank7_intake_review/verify_continuation.py) (Continuation replay), [`FIN_rank7_CONTINUATION_HANDOFF_20260916_FR223/src/frontier_shifted_boxes.py`](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/FIN_rank7_CONTINUATION_HANDOFF_20260916_FR223/src/frontier_shifted_boxes.py) (Shifted-box checker)
## Diagram (Mermaid)
```mermaid
flowchart TD
subgraph group_rank7["Rank-7 Verification"]
node_continuation["Continuation replay"]
node_shifted["Shifted-box checker"]
node_intervals["Rational intervals
[intervals.py]"]
node_r7o2["R7O2 audit
[review.py]"]
node_fastintervals["Fast intervals
[intervals_fast.py]"]
node_r7o3["R7O3 audit
[review.py]"]
end
subgraph group_lab["Laboratory Analysis"]
node_labpipeline["P242 pipeline"]
end
subgraph group_graph["Graph Auditing"]
node_generatoraudit["Small generator audit"]
node_toolchaingate["Graph provenance gate"]
end
node_analyst(("Research analyst"))
node_analyst -->|"runs replay"| node_continuation
node_continuation -->|"checks boxes"| node_shifted
node_shifted -->|"uses arithmetic"| node_intervals
node_analyst -->|"runs audit"| node_r7o2
node_r7o2 -->|"imports"| node_fastintervals
node_r7o2 -->|"uses arithmetic"| node_intervals
node_analyst -->|"runs audit"| node_r7o3
node_r7o3 -->|"uses arithmetic"| node_intervals
node_analyst -->|"runs analysis"| node_labpipeline
node_analyst -->|"runs audit"| node_generatoraudit
node_generatoraudit -->|"reads gate"| node_toolchaingate
click node_continuation "https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_rank7_intake_review/verify_continuation.py"
click node_shifted "https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/FIN_rank7_CONTINUATION_HANDOFF_20260916_FR223/src/frontier_shifted_boxes.py"
click node_intervals "https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_rank7_followup/src/intervals.py"
click node_r7o2 "https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_r7o2_review/review.py"
click node_fastintervals "https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_r7o2_review/intervals_fast.py"
click node_r7o3 "https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_r7o3_review/review.py"
click node_labpipeline "https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_lab_p242_pipeline.py"
click node_generatoraudit "https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fundamental_action_reconstruction/p2787_s1737_small_canonical_generator_pipeline_audit.py"
click node_toolchaingate "https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fundamental_action_reconstruction/p2786_s1736_graph6_provenance_toolchain_gate.py"
classDef toneNeutral fill:#f8fafc,stroke:#334155,stroke-width:1.5px,color:#0f172a
classDef toneBlue fill:#dbeafe,stroke:#2563eb,stroke-width:1.5px,color:#172554
classDef toneAmber fill:#fef3c7,stroke:#d97706,stroke-width:1.5px,color:#78350f
classDef toneMint fill:#dcfce7,stroke:#16a34a,stroke-width:1.5px,color:#14532d
classDef toneRose fill:#ffe4e6,stroke:#e11d48,stroke-width:1.5px,color:#881337
classDef toneIndigo fill:#e0e7ff,stroke:#4f46e5,stroke-width:1.5px,color:#312e81
classDef toneTeal fill:#ccfbf1,stroke:#0f766e,stroke-width:1.5px,color:#134e4a
class node_continuation,node_shifted,node_intervals,node_r7o2,node_fastintervals,node_r7o3 toneBlue
class node_labpipeline toneAmber
class node_generatoraudit,node_toolchaingate toneMint
class node_analyst toneIndigo
```
## Components
### Rank-7 Verification
- [Continuation replay](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_rank7_intake_review/verify_continuation.py): `fin_rank7_intake_review/verify_continuation.py`
- [Shifted-box checker](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/FIN_rank7_CONTINUATION_HANDOFF_20260916_FR223/src/frontier_shifted_boxes.py): `FIN_rank7_CONTINUATION_HANDOFF_20260916_FR223/src/frontier_shifted_boxes.py`
- [Rational intervals](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_rank7_followup/src/intervals.py): `fin_rank7_followup/src/intervals.py`
- [R7O2 audit](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_r7o2_review/review.py): `fin_r7o2_review/review.py`
- [Fast intervals](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_r7o2_review/intervals_fast.py): `fin_r7o2_review/intervals_fast.py`
- [R7O3 audit](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_r7o3_review/review.py): `fin_r7o3_review/review.py`
### Laboratory Analysis
- [P242 pipeline](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fin_lab_p242_pipeline.py): `fin_lab_p242_pipeline.py`
### Graph Auditing
- [Small generator audit](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fundamental_action_reconstruction/p2787_s1737_small_canonical_generator_pipeline_audit.py): `fundamental_action_reconstruction/p2787_s1737_small_canonical_generator_pipeline_audit.py`
- [Graph provenance gate](https://github.com/hyconiek/fractal-nadsoliton-theory/blob/main/fundamental_action_reconstruction/p2786_s1736_graph6_provenance_toolchain_gate.py): `fundamental_action_reconstruction/p2786_s1736_graph6_provenance_toolchain_gate.py`
### Other components
- **Research analyst**
## Connections
- Research analyst → Continuation replay: runs replay (evidence: `fin_rank7_intake_review/verify_continuation.py`)
- Continuation replay → Shifted-box checker: checks boxes (evidence: `fin_rank7_intake_review/verify_continuation.py`)
- Shifted-box checker → Rational intervals: uses arithmetic (evidence: `FIN_rank7_CONTINUATION_HANDOFF_20260916_FR223/src/frontier_shifted_boxes.py`)
- Research analyst → R7O2 audit: runs audit (evidence: `fin_r7o2_review/review.py`)
- R7O2 audit → Fast intervals: imports (evidence: `fin_r7o2_review/review.py`)
- R7O2 audit → Rational intervals: uses arithmetic (evidence: `fin_r7o2_review/review.py`)
- Research analyst → R7O3 audit: runs audit (evidence: `fin_r7o3_review/review.py`)
- R7O3 audit → Rational intervals: uses arithmetic (evidence: `fin_r7o3_review/review.py`)
- Research analyst → P242 pipeline: runs analysis (evidence: `fin_lab_p242_pipeline.py`)
- Research analyst → Small generator audit: runs audit (evidence: `fundamental_action_reconstruction/p2787_s1737_small_canonical_generator_pipeline_audit.py`)
- Small generator audit → Graph provenance gate: reads gate (evidence: `fundamental_action_reconstruction/p2787_s1737_small_canonical_generator_pipeline_audit.py`)