Phi-Genesis
Computational Architecture
This page is a map of the code and research artifacts in the repository. It does not replace source code, tests or versioned research records.
Main computational modules
| Module / area | Responsibility |
|---|---|
| `phi_genesis/sg_laplacian.py` | Sierpiński-gasket graph Laplacian, decimation and Weyl-related calculations |
| `phi_genesis/fukushima_shima.py` | Fukushima–Shima gap-structure checks |
| `phi_genesis/spectral_convergence.py` | Dense spectral calculations, Weyl fits and window-sensitivity analysis |
| `phi_genesis/sg_inertia.py` | Eigenvalue counts from Sylvester inertia with sparse LU |
| `phi_genesis/mobius.py` | Signed Laplacian and π-flux / Z₂ twist operations |
| `phi_genesis/mobius_selection_search.py` | Exhaustive generation-twist selection search |
| `phi_genesis/dirac_eta.py` | Graph Dirac operator and η-invariant claim checks |
| `phi_genesis/mass_check.py` | Mass-scale consistency calculations |
| `phi_genesis/selection_protocol*.py` | Versioned preregistered selection tests |
The current file tree and test suite are available in the GitHub repository.
Research data and audit artifacts
- `protocol_data/` contains null pools, protocol outputs, design results and Open Problem #2 scripts.
- `PREREGISTRATION*.md` records the rules and design decisions for each protocol version.
- `protocol_ledger.md` records the cumulative family search and post-hoc diagnostics.
- `METHODOLOGY.md` explains the statistical method and its limits.
- `CHANGELOG.md` records documentation and release changes.
Verification layers
The project combines unit tests, numerical cross-checks and preregistered statistical tests. These answer different questions:
- A unit test checks a specific implementation property.
- A dense-spectrum comparison checks a numerical path against a smaller reference instance.
- A preregistered null test evaluates whether a search result exceeds the specified chance baseline.
- A theoretical derivation is needed for a general mathematical statement.
Passing one layer does not automatically establish claims that belong to another.
Reproduction
See the Reproducibility guide for commands and warnings about regenerating fixed-seed data. Start from a clean checkout when preserving the committed protocol pools matters.
Explore Phi-Genesis
Interactive portal · Research map · Verified results · Open problems · Reproducibility · Dissertation · Source repository
Interactive portal · Research map · Verified results · Open problems · Reproducibility · Dissertation · Source repository