O(x) = ax² + bx + c IS the operator. Δ = b² − 4ac IS the binding kernel.
| File | Description |
|---|---|
crystal_bug_v1_matrix.jsx |
Main React artifact. Full interactive simulation. |
test_engine.js |
Node.js test harness. 9 tests with measurable results. |
test_results.txt |
Output from the test suite. |
ENGINEERING_SPEC.docx |
Full engineering specification with simulation data. |
README.md |
This file. |
Upload crystal_bug_v1_matrix.jsx to Claude.ai or any React environment.
node test_engine.jsThe quadratic O(x) = ax² + bx + c is the ONLY physics object. Everything else derives from it:
- Discriminant Δ = b²−4ac: binding kernel. Δ>0 = free, Δ<0 = bound, Δ=0 = click.
- 7 Bands: Mandelbrot-style iterate classification, not a lookup table.
- Spine 0→9: compositional transforms on (a,b,c) space. Phase 4: a→−a (bifurcation).
- Energy: cost = 1/(|Δ|+0.1). Click zone costs 5.1× more than free zone.
- Topology: root-proximity weighted neighborhoods. 99.6% differ from grid adjacency.
- Energy Honesty: E₀ is a real budget. E₀=3→14% coverage. E₀=50→46%.
- Fair Visits: Path stack prevents double-counting. Revisit ratio 1.3–1.8.
- Two Modes: Bug (attractor walk, ~61% coverage) + Audit (DFS, 100% coverage).
| Constant | Value | Meaning |
|---|---|---|
| σ | 0.991 | Coherence retention. Life, not freeze. |
| T* | 0.714 | Stability threshold. |
| S* | σ(1−σs)·V·A | Coherence score. |
Brayden / 7Site LLC / sanctuberry.com TIG (Trinity Infinity Geometry) v3.0
σ = 0.991. 10 v e.