← Reports/RPT-001

The Discovery of True Gas: Completing the Phi-Spectrum

Date: 2025-11-22
Author: Phi-Machine R&D

Hypothesis

"Can the Phi-Machine generate all four fundamental states of information (Solid, Liquid, Life, Gas) deterministically from a seed?"

Methodology

Steps

  • Generate a target noise image (true entropy).
  • Run genetic solver to find a matching seed.
  • Analyze the statistical properties (RunLength, Autocorrelation) of the solution.
  • Refine RuleSet 3 (Mixer) to maximize entropy.

Tools Used

src/solver/solveCLI.tscompare_spectrum.tsanalyze_anomaly.ts

Experiments

The Fake Gas Anomaly

IN: target-noise.pgm (True Random)OUT: Seed:[43,216] RuleSet:0 (XOR)

Metrics (MSE - Lower is Better)

run_length53.2
autocorrelation-0.92
compression_ratio83.6

Visual Evidence

Target Noise

Target Noise

Observation: The solver found a complex crystal (Tartan) that mimicked noise variance but failed statistical randomness tests.

The Failed Linear Mixer

IN: Forced RuleSet 3 (Linear Affine)OUT: Seed:[85] RuleSet:3

Metrics (MSE - Lower is Better)

run_length63.5
autocorrelation0.03
compression_ratio117

Observation: The linear mixer produced solid bands of color, failing to generate high frequency noise.

The Non-Linear Grinder (True Gas)

IN: Refined RuleSet 3 (Non-Linear)OUT: Seed:[211,103,92,155] RuleSet:3

Metrics (MSE - Lower is Better)

run_length1.7
autocorrelation0.01
compression_ratio1

Visual Evidence

Generated Noise (Gas)

Generated Noise (Gas)

Observation: Perfect match. The machine successfully hallucinated true high-entropy noise from a 4-byte seed.

Key Findings

  • •RuleSet 0 (XOR) creates 'Crystalline Camouflage'—highly ordered patterns that look like noise to simple MSE metrics.
  • •RuleSet 3 (Mixer) requires non-linearity to break seed correlations; affine transforms are insufficient.
  • •We have confirmed the existence of the 'Full Spectrum': Solid (R0), Liquid (R1), Life (R2), and Gas (R3).

Conclusion & Next Steps

The Phi-Machine is no longer a Crystal Prison. By introducing a non-linear mixer, we have achieved ignition of the Gas state, completing the physics engine. We can now simulate the full range of information states.

Next Steps

  • Phase 4: The Library of Babel
  • Run the solver on 100 diverse textures to map the Periodic Table of Information.