Framework Theory

Silvia Coherence-Dependent Gravitational Coupling — EM Sector

The Boundary-Coupling Formula

F = α · ½ε₀ (V/d)² · (κ−1)/κ · A · N

α

1.5000 (default)

ε₀

8.854\u00D710\u207B\u00B9\u00B2 F/m

V

Applied voltage (V)

d

Dielectric gap (m)

κ

Dielectric constant

A

Active electrode area (m\u00B2)

N

Number of stages

F

Net force (N)

α is the single free parameter. It is dimensionless and of order unity in the EM sector. Updated by every measurement.

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 + Tμνᶦⁿᶜᵒʰ

The action couples gravity to the coherent component only:

S = Sᴳᴿ + Sₘₐₜₜₑᵣ + α ∫ √̅−̅g̅ Φ(φ) Tᶜᵒʰμν 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 (from structure, not calibration)

These scaling laws hold regardless of what α turns out to be:

F \u221D V\u00B2Quadratic voltage scaling (from E\u00B2 energy density)
F \u221D 1/d\u00B2Inverse-square gap scaling (Model D)
F \u221D ALinear area scaling
F \u221D (\u03BA\u22121)/\u03BADielectric saturation (not linear in \u03BA)
F \u221D NLinear stage scaling (at low N)
F(+V) = F(\u2212V)Polarity independence (from E\u00B2)
PersistenceForce decays slowly after power-off (\u03C4 ~ days, scalar field)
Current \u2192 zeroCurrent flow destroys coherence, kills the coupling
AC \u2192 zeroAlternating field destroys coherence

Current Framework Status

YELLOW

Insufficient data or mixed results

α current1.5000 ± 0.0000
α default1.5
Measurements contributing0