01 / Problem
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Paper 022 / June 13, 2026
Vacuum, Casimir, and Permittivity Cross-Checks for Electrostatic Projection Couplings
Independent observables for separating field-energy residuals from dielectric and surface artifacts
01 / Abstract
Abstract
Electrostatic projection hypotheses often depend on field energy, dielectric polarization, or boundary flux. This paper proposes cross-checks using capacitance precision, dielectric spectroscopy, surface-potential mapping, and Casimir-adjacent force metrology as independent observables. The objective is conservative: any claimed residual should correlate with the correct field-energy or boundary proxy and fail to correlate with ordinary surface artifacts.
02 / Frame
Research Frame
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\[
y=(F,C,\tan\delta,V_{\mathrm{surf}},T,I_{\mathrm{leak}}),
\qquad
\rho_{m,ij}=\mathrm{corr}(y_i,y_j\mid m).
\]
\[
U_E=\frac{1}{2}CV^2,
\qquad
\Delta F_{\mathrm{proxy}} \propto \nabla U_E \;\;\text{or}\;\; \int_{\partial\Omega}\Pi\cdot n\,dA .
\]
03 / Structure
Paper Structure
The manuscript follows the JMP0X1B discipline: state the problem, formalize the model, name the claims, and publish enough source material for review and revision.
02 / Model
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03 / Claims
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04 / Evidence Plan
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04 / Files
Paper Files
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