Scaling Test Designer
Design tests that validate the framework's structural predictions. Ratios are calibration-independent.
Configuration
V² Scaling Test
Does force scale as V²? This is the most fundamental prediction. If F ∝ V² fails, the framework is falsified.
F ∝ V² — ratios should match (V/V₀)²
Test Sequence (5 points)
| Voltage (kV) | Predicted | Mass | Ratio | Detectable | Measured Ratio | Match? |
|---|---|---|---|---|---|---|
| 10 kV | 151.004 mN | 15.39 mg | 1.000 | ✓ | ||
| 15 kV | 339.758 mN | 34.63 mg | 2.250 | ✓ | ||
| 20 kV | 604.014 mN | 61.57 mg | 4.000 | ✓ | ||
| 25 kV | 943.772 mN | 96.21 mg | 6.250 | ✓ | ||
| 30 kV | 1.359 N | 138.54 mg | 9.000 | ✓ |
Recommended Build Path
Single-stage proof of concept (1-2 weeks)
E-004 spheres + 1mm alumina + 10 kV. Verify any force signal. Need microbalance or averaging.
9-stage V² scaling test (4-6 weeks)
Run 5 voltages (10-30 kV). Predicted 28-258 µg range. Confirms F ∝ V² via ratios.
Gap scaling test (2-3 weeks)
Swap dielectric thicknesses (1, 2, 3, 5 mm) at 12 kV. Tests Model D's 1/d² decisively.
κ saturation test (2-3 weeks)
Swap dielectric materials. Tests framework's most unique prediction: (κ-1)/κ saturation.
Persistence test (72+ hours)
Use highest-force config. Disconnect power, record for 3+ days. Slow decay = framework. Instant zero = classical.
Scale Recommendation
These tests require consistent ±100 µg resolution. Your 9-stage stack weighs ~1.4 kg.
• Best: Microbalance (1 µg resolution) — Sartorius SE2-F, Mettler MX5 — $400-1500 used. Max capacity ~5g (need hanging config).
• Practical: 0.1 mg analytical balance, accept ~1 mg noise. Run 5+ measurements per point and average. Ratio tests work even with noise.
• Alternative: Force plate / load cell for heavier stacks. Lower resolution but handles full device weight.