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\title{\Large Paper 022\\[0.6em]\textbf{Vacuum, Casimir, and Permittivity Cross-Checks for Electrostatic Projection Couplings}\\[0.3em]\large Independent observables for separating field-energy residuals from dielectric and surface artifacts}
\author{JMP0X1B Research Group}
\date{Working paper draft / June 13, 2026}
\begin{document}
\maketitle
\begin{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.
\end{abstract}

\noindent\textbf{Status.} Draft manuscript for review and revision. This paper is not an empirical claim of new physics or field-ready technology. It is a structured proposal, theory note, protocol, or application architecture intended to be auditable, falsifiable, and publishable with source.

\tableofcontents
\newpage

\section{Problem}
A force residual alone is ambiguous. If a model says the electrostatic energy density sources a scalar or boundary response, the experiment should also measure observables sensitive to the same energy density, dielectric state, and surface condition. The problem is to build cross-checks that improve interpretation without importing unrelated precision-measurement complexity.

\section{Model}
The paper treats force, capacitance, dielectric loss, surface potential, and separation-dependent background as a joint observation vector. Mechanism signatures are required to predict correlations across that vector. Surface artifacts are not nuisances to be ignored; they are explicit competing models.


\[
  y=(F,C,\tan\delta,V_{\mathrm{surf}},T,I_{\mathrm{leak}}),
  \qquad
  \rho_{m,ij}=\mathrm{corr}(y_i,y_j\mid m).
\]
\[
  U_E=\frac{1}{2}CV^2,
  \qquad
  \Delta F_{\mathrm{proxy}} \propto \nabla U_E \;\;\text{or}\;\; \int_{\partial\Omega}\Pi\cdot n\,dA .
\]


\section{Claims}
\begin{enumerate}
\item \textbf{Claim 1.} Projection-coupling experiments should include capacitance and dielectric telemetry as physics observables, not only diagnostics.
\item \textbf{Claim 2.} Surface-potential mapping can falsify many apparent boundary residuals before high-cost vacuum runs.
\item \textbf{Claim 3.} Correlated multi-observable nulls are more reusable than force-only nulls.
\item \textbf{Claim 4.} Casimir-adjacent metrology methods are useful as discipline, but should not be conflated with evidence for projection physics.
\end{enumerate}

\section{Evidence Plan}
The evidence plan starts with precision capacitance and dielectric measurements on the same geometries used for force nulls. Surface potentials are measured before and after high-voltage exposure. Force data are then interpreted jointly with dielectric and surface models. A successful null paper reports cross-correlation bounds and excludes models that predict correlations not observed.

\section{JMP0X1B Implementation Surface}
JMP0X1B should define a multi-observable run frame with synchronized timestamps, unit-safe data, and instrument provenance. Analysis functions compute correlation gates and mechanism rejection summaries.

\subsection*{Illustrative JMP0X1B-style contract}
\begin{verbatim}
record CrossCheckFrame { force: ForceSeries, capacitance: CapSeries, dielectric: LossSeries, surface: SurfaceMap, leakage: CurrentSeries }
fn reject_by_correlation(frame: CrossCheckFrame, model: Mechanism) -> Rejection effects{Statistics, Units, Audit}
\end{verbatim}


\section{Release And Review Plan}
Release synchronized example data, instrument calibration files, correlation models, and an exclusion report that distinguishes force-only and multi-observable bounds.

\section{Open Questions}
\begin{itemize}
\item Which surface-potential resolution is needed for practical capacitor nulls?
\item Can dielectric spectroscopy detect hidden changes caused by high-voltage conditioning?
\item How should separation-dependent backgrounds be separated from edge-boundary proxies?
\item What correlation thresholds are robust to drift and hysteresis?
\end{itemize}

\section{Conclusion}
Cross-checks make electrostatic residual searches harder to fool. They also make nulls scientifically richer by tying force limits to independent observables.

\section*{References}
\begin{thebibliography}{99}
\bibitem{jmp002} JMP0X1B Research Group. \emph{Electrostatic Projection Couplings in Five-Dimensional Maxwell-Compatible Theory}. Working paper, 2026. \url{https://research.jmp0x1b.com/papers/electrostatic-projection-couplings-5d-electrogravity.html}
\bibitem{jmp003} JMP0X1B Research Group. \emph{Boundary-Flux Electromagnetism on Embedded Four-Manifolds and Null Observables for Capacitor Residuals}. Working paper, 2026. \url{https://research.jmp0x1b.com/papers/boundary-flux-hypersurface-nulls.html}
\bibitem{jmp005} JMP0X1B Research Group. \emph{Weak-Field Radion Electrogravity from Maxwell-Compatible Five-Dimensional Projections}. Working paper, 2026. \url{https://research.jmp0x1b.com/papers/weak-field-radion-electrogravity.html}
\bibitem{jmp007} JMP0X1B Research Group. \emph{Ultra-High-Vacuum Null Tests of Electrostatic Projection Couplings with Symmetry-Matched Capacitors}. Working paper, 2026. \url{https://research.jmp0x1b.com/papers/uhv-electrostatic-null-tests.html}
\bibitem{jmp008} JMP0X1B Research Group. \emph{Finite-Element Discrimination of Boundary-Flux, Scalar, and Conventional Artifact Forces in Asymmetric Capacitors}. Working paper, 2026. \url{https://research.jmp0x1b.com/papers/fem-capacitor-force-discrimination.html}
\bibitem{maxwell} J. C. Maxwell. A dynamical theory of the electromagnetic field. \emph{Philosophical Transactions of the Royal Society of London}, 155:459--512, 1865.
\end{thebibliography}

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