01 / Calibration
Needle-plane and leakage dummy devices deliberately amplify known artifacts.
Paper 008 / Working paper / June 6, 2026
Finite-Element Discrimination of Boundary-Flux, Scalar, and Conventional Artifact Forces in Asymmetric Capacitors
A computational design atlas for electrostatic anomaly experiments.
01 / Abstract
Abstract
This paper proposes a finite-element and reduced-order modeling framework for designing capacitor experiments that discriminate among conventional artifacts and speculative five-dimensional projection residuals.
Ordinary Maxwell stress, electrohydrodynamic gas drift, leakage-current forces, dielectric heating, thermal expansion, scalar-energy proxies, and boundary-flux proxies are computed on the same electrode geometries. Candidate geometries are scored by how differently these mechanisms transform under experimental controls.
02 / Solve
Shared Field Baseline
The ordinary Maxwell solution is mandatory. Any residual is measured against the same geometry, material priors, shields, supports, and convergence criteria.
\[
\nabla\cdot\left(\epsilon(\mathbf{x})\nabla\Phi\right)
= -\rho_f,
\qquad
\mathbf{E}=-\nabla\Phi
\]
\[
F_i^M=\oint_{\partial B}
\epsilon\left(E_iE_j-\frac{1}{2}\delta_{ij}E^2\right)n_j\,dA
\]
03 / Atlas
Discrimination Score
A useful geometry is not necessarily the one with the largest total force. It is the one where competing mechanisms separate under pressure, voltage reversal, inversion, shielding, edge smoothing, and scale change.
\[
D(\mathcal{G})
= \min_{m\neq n}
\left\|\mathbf{s}_m(\mathcal{G})
-\mathbf{s}_n(\mathcal{G})\right\|_{\Sigma^{-1}}
\]
02 / Nulls
Symmetric plates and guarded capacitors establish Maxwell-stress, shielding, and leakage controls.
03 / Edge Tests
Interdigitated or edge-enhanced devices probe boundary-flux-style sensitivity.
04 / Range Tests
Scale-pair replicas test whether a candidate scalar proxy is local, intermediate, or long range.
04 / Files
Paper Files
The PDF is generated from the LaTeX source. Both are published for auditability and future revision.