phi-scaling-validator

GenesisAeon Package 38 — Cross-domain validation of the Phi^(1/3) universal scaling exponent.

Tests whether Phi^(1/3) = 1.6180...^(1/3) ~= 1.1740 appears as a universal inter-scale step across GenesisAeon packages P17-P37: CREP Spectrum, beta-clusters (78 systems), Q4 entropy landscape, EML operator tree depths, and the v_RIG cosmological velocity scale.

Johann Römer · MOR Research Collective · 2026 DOI: 10.5281/zenodo.20513358

Installation

pip install phi-scaling-validator
# with optional notebook/plotting extras:
pip install "phi-scaling-validator[phi]"
# or with uv:
uv add phi-scaling-validator

Quick start

from phi_scaling import PhiScalingValidator, PHI_CUBEROOT

print(f"Phi^(1/3) = {PHI_CUBEROOT:.8f}")   # 1.17398500...

v = PhiScalingValidator()
result = v.run_cycle()
print(f"Universality score: {result['universality_score']:.0%}")
print(f"Confirmed domains:  {result['confirmed_packages']}")
print(v.to_zenodo_record()['doi'])           # 10.5281/zenodo.20513358

CLI

# Run all validation analyses
phi-validate run

# Detailed per-domain report
phi-validate report

# Print Zenodo metadata
phi-validate zenodo

What is validated

Key result (honest)

The CREP Spectrum shows p = 0.14 (not significant at 5%) with mean ratio ~1.37 vs expected Phi^(1/3) ~= 1.174. The beta-cluster test has low power (n=4 ratios). The framework reports this honestly — no false-positive claims. The Phi^(1/3) hypothesis remains suggestive but unconfirmed pending more data points from packages P31-P37.

Repository structure

src/phi_scaling/
├── phi_constants.py      # Phi, Phi^(1/3), sigma_Phi, v_RIG, alpha
├── crep_scaling.py       # CREP Spectrum Gamma-values (P17-P30)
├── beta_scaling.py       # beta-cluster ratios (78 systems, P32)
├── q4_scaling.py         # Q4 4-bit entropy landscape
├── vrig_scaling.py       # v_RIG = c*alpha/Phi (P31 bridge)
├── eml_scaling.py        # EML tree depth ratios (P37 bridge)
├── statistical_tests.py  # t-test + bootstrap CI (honest)
├── null_hypothesis.py    # Uniform(1.0,1.5) null + falsification
├── system.py             # PhiScalingValidator — Diamond interface
└── cli.py                # phi-validate CLI

data/
├── crep_spectrum_p17_p30.yaml    # 14 CREP entries with Gamma values
├── beta_clusters_78systems.yaml  # 5 domain clusters from UTAC v1.0
└── zenodo_metadata.yaml          # Full Zenodo record

notebooks/
├── 01_phi_power_atlas.ipynb       # All Phi powers in GenesisAeon
├── 02_beta_crep_scaling.ipynb     # P32 + P17-30 combined test
├── 03_universality_test.ipynb     # Full validator run
└── 04_eml_phi_connection.ipynb    # EML tree -> Phi emergence

Also includes: diamond-setup scaffolder

This repo also ships the diamond-setup CLI for generating GenesisAeon-compatible Python project skeletons:

diamond scaffold my-physics-tool --template genesis

See README_QUICKSTART.md for diamond-setup usage.

Role in the GenesisAeon Ecosystem

phi-scaling-validator is Package P38 of the GenesisAeon ecosystem, in the cross-domain meta-analysis domain. It is the validator package that checks whether the Phi^(1/3) scaling exponent observed across packages P17-P37 (CREP Spectrum, beta-clusters, Q4 entropy landscape, EML operator trees, v_RIG) is a genuine cross-domain universality, or an artifact — honestly reporting non-significant results rather than overstating confirmation.

Citation

This package has an assigned Zenodo DOI: 10.5281/zenodo.20513358. New GitHub Releases will mint updated DOI versions automatically once Zenodo-GitHub integration is enabled for this repo.

@software{phi_scaling_validator,
  author       = {Römer, Johann},
  title        = {phi-scaling-validator: Phi^(1/3) Universal Scaling Validator (GenesisAeon P38)},
  year         = {2026},
  publisher    = {Zenodo},
  doi          = {10.5281/zenodo.20513358},
  url          = {https://doi.org/10.5281/zenodo.20513358}
}

Part of the GenesisAeon entropy atlas (P17-P38). Built with uv · scipy · Typer · Rich