Scaling Test Designer

Design tests that validate the framework's structural predictions. Ratios are calibration-independent.

Configuration

mm
g
kV
kV

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)PredictedMassRatioDetectableMeasured RatioMatch?
10 kV151.004 mN15.39 mg1.000
15 kV339.758 mN34.63 mg2.250
20 kV604.014 mN61.57 mg4.000
25 kV943.772 mN96.21 mg6.250
30 kV1.359 N138.54 mg9.000

Recommended Build Path

1

Single-stage proof of concept (1-2 weeks)

E-004 spheres + 1mm alumina + 10 kV. Verify any force signal. Need microbalance or averaging.

2

9-stage V² scaling test (4-6 weeks)

Run 5 voltages (10-30 kV). Predicted 28-258 µg range. Confirms F V² via ratios.

3

Gap scaling test (2-3 weeks)

Swap dielectric thicknesses (1, 2, 3, 5 mm) at 12 kV. Tests Model D's 1/d² decisively.

4

κ saturation test (2-3 weeks)

Swap dielectric materials. Tests framework's most unique prediction: (κ-1)/κ saturation.

5

Persistence test (72+ hours)

Use highest-force config. Disconnect power, record for 3+ days. Slow decay = framework. Instant zero = classical.

If Phase 2 fails (no V²scaling), stop. The framework's most basic prediction has failed. Don't proceed to expensive multi-material tests.

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.