Framework Theory

Silvia Coherence-Dependent Gravitational Coupling — EM Sector. Predictions below carry live validation badges that update as you log tests.

What this engine CAN and CANNOT predict

✓ CAN predict (theory-grounded)

  • Whether a configuration has asymmetric coherent EM energy (yes/no, where it concentrates)
  • Relative ranking of configurations by coherent-energy concentration
  • V² scaling between configurations at different voltages
  • Linear scaling with N (tips/blades), εr (dielectric), and stages (layers)
  • Direction of expected thrust (geometric, +z toward ground plate)
  • Whether polarity flip should reverse thrust (parity-even prediction: it should NOT)

✗ CANNOT predict (yet)

  • Absolute thrust magnitude in Newtons
  • Whether the predicted thrust is detectable
  • The exact value of the coupling constant α
  • Comparison to other published thrust measurements (the missing G/c⁴ factor and the framework’s un-formalized dimensional bridge make magnitudes undefined; see docs/THEORY-AUDIT.md)

Once user-measured experimental data is logged in TestRun, the engine can calibrate the coherent-energy → thrust relationship and enable absolute predictions for new configurations. Until then, predictions are structural only — class verdicts, scaling-law ratios, direction, and parity.

The Boundary-Coupling Formula

F = α · ½ε₀ (V/d)² · (κ−1)/κ · A · N

α

1.0000 (default)

ε₀

8.854×10⁻¹² F/m

V

Applied voltage (V)

d

Dielectric gap (m)

κ

Dielectric constant

A

Active electrode area (m²)

N

Number of stages

F

Net force (N)

α is the single free parameter — dimensionless and of order unity in the EM sector. Updated by every measurement on the Tests page.

Theoretical foundation

The framework decomposes the stress-energy tensor of the EM field into a coherent (Reynolds-mean) component and an incoherent component:

Tμν = ⟨Tμν⟩ᶜᵒʰ + Tμνⁱⁿᶜᵒʰ

The action couples gravity to the coherent component only:

S = S_GR + S_matter + α ∫ √−g · Φ(φ) · Tᶜᵒʰ_μν · gμν · d⁴x

For a DC asymmetric capacitor with no current flow, all field energy is coherent. The coupling produces a net boundary force proportional to the coherent energy density, yielding the formula above.

Testable predictions

0/10 have data · 0 pass

These scaling laws hold regardless of what α turns out to be. Click any row for the detailed recipe and current validation detail.

V² scaling

Same Gravitor, different voltages. Thrust should scale with V².

Untested

1/d² gap scaling

Same emitter and voltage, swap dielectric thickness. Thrust should scale as 1/d².

Untested

Linear A scaling

Same V, d, κ — different emitter areas. Thrust should scale linearly with A.

Untested

(κ-1)/κ saturation

Same V, d, A — swap dielectric material. Thrust scales with (κ−1)/κ which saturates near 1.

Untested

Linear N scaling

Same Gravitor, stack N copies in series. Thrust should scale linearly with N.

Untested

Polarity independence

Same Gravitor, same V, flip polarity. Thrust magnitude should be identical.

Untested

Persistence

Run for an extended period at fixed V. Thrust should hold; ion-mode decays.

Untested

Current-flow null

Force should appear with negligible leakage current. If high I correlates with high F, you're measuring corona.

Untested

AC suppression

Same RMS voltage, but AC instead of DC. Thrust should drop dramatically.

Untested

Vacuum vs atmosphere

Same Gravitor, run in air vs vacuum. Thrust should survive — ion wind cannot.

Untested

Current framework status

YELLOW

Insufficient data — keep logging tests to validate the laws above.

α current1.0000 ± 0.0000
α default1
Measurements contributing0

Force formula (engine implementation)

Fnet = K · α · Fcapacitor · Δ

Fcapacitor = ½ · ε₀ · κ · E² · Aeff

Δ = N · β² · feature_length / d (mode-dependent)

α

1.000 (defaults)

K

1.000e+0

Δ-mode

unbounded

ε₀

8.854×10⁻¹² F/m

κ

dielectric constant (per part)

β

ln(4d/r) — log enhancement

N

feature count (tips / blades / edges)

d

dielectric gap (m)

A_eff

active area, capped at π·(2.5d)²

⚠ Theory-faithfulness

This formula does notcarry the gravitational-coupling suppression (G/c⁴) that a modification of Einstein’s equations would normally include. As written it has the strength of an EM coupling, not a gravitational one — predictions can overshoot by 30+ orders of magnitude relative to a faithful gravitational treatment of the same coherent EM stress-energy. See full audit in docs/THEORY-AUDIT.md.

Engine mode

Where the engine’s α, K, and Δ-bounding mode come from. Test-results auto-derive K from a logged user-measured anchor; manual lets you override; defaults uses built-in constants only.

Active source: defaults

Status: uncalibrated

No user-measured anchor row exists yet. Engine emits a relative score (K = 1.0). Build a fully-characterized test article, log it as a user-measured TestRun, and select it as the anchor on /calibration. Or set Engine Mode to 'manual' on /theory to enter custom parameters.

Manual parameter override

Edit α, K, and the Δ-bounding mode here. Saving switches engine mode to manual automatically. To go back to test-results-driven calibration, click Test results above (or the clear button below).