The Experiments
Not screenshots — real computation. Every experiment below runs the actual NUMEN mathematics on your machine, right now. Move a slider, type a word, watch it converge to φ⁻¹.
CGOS Coherence Calculator
The master formula. Set the six cognitive dimensions and watch the geometric mean resolve into a live coherence score and gate state. The gold marker is the golden-ratio convergence target φ⁻¹.
C = (π × φ × Ω × τ × ψ × β)1/6
TARGET φ⁻¹
0.618034
DISTANCE
0.020591
gold marker = φ⁻¹ convergence target
Phi Convergence Simulator
A contraction map has exactly one fixed point, and every starting value is pulled toward it. Pick any seed and run it — the iteration collapses onto φ⁻¹ = 0.618033 within a handful of steps.
ITERATION
0
VALUE
1.000000
ERROR
3.82e-1
Quaternary Encoder
NUMEN encodes everything in four gates — Growth, Transcend, Attune, Converge — chosen by each symbol's phi-value. Type anything and watch it become quaternary code in real time.
Prime Resonance Garden
Plant thousands of nodes on the golden angle 137.508° and let the prime indices light up. This is how NUMEN lays out phi-addressed memory so nothing collides.
ANGLE
137.508°
PRIMES
109
GROWN
0
Gold = prime index · blue = composite. Planted on the golden angle so nothing ever overlaps — the same rule sunflowers use.
The Golden Ratio, Derived
Where φ⁻¹ comes from. Consecutive Fibonacci ratios march straight onto the same convergence target every other experiment shares.
| Fn₋₁ / Fn | ratio | convergence |
|---|---|---|
| 1 / 2 | 0.500000 | |
| 2 / 3 | 0.666667 | |
| 3 / 5 | 0.600000 | |
| 5 / 8 | 0.625000 | |
| 8 / 13 | 0.615385 | |
| 13 / 21 | 0.619048 | |
| 21 / 34 | 0.617647 | |
| 34 / 55 | 0.618182 | |
| 55 / 89 | 0.617978 | |
| 89 / 144 | 0.618056 | |
| 144 / 233 | 0.618026 | |
| 233 / 377 | 0.618037 |
Consecutive Fibonacci ratios fall straight onto φ⁻¹ = 0.618033… — the same target CGOS converges to.