01 / Problem
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Paper 015 / June 13, 2026
Screened Scalar Readout in Electrostatic Energy Geometries
Range-dependent null predictions for radion-style projection models
01 / Abstract
Abstract
Weak-field radion electrogravity turns electrostatic energy density into a scalar-source term and then asks whether gravity-like readout is constrained by null experiments. This paper extends that model to screened scalar responses. A scalar may be short-range, material-screened, geometry-screened, or environment-screened. Each case changes which capacitor dimensions and dielectric boundaries dominate the predicted residual. The output is a null-test map over scalar range, screening length, and geometry scale.
02 / Frame
Research Frame
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\[
(\nabla^2-m_s^2)s = -\alpha_E q(\mathbf{x})u_E(\mathbf{x}) - S(s,\rho_m),
\qquad u_E=\frac{\epsilon E^2}{2}.
\]
\[
F_s \sim \gamma_s c^2 \int_B \rho_B(\mathbf{x})\nabla s(\mathbf{x})\,d^3x,
\qquad
\Lambda=\{\lambda_s,\lambda_{\mathrm{screen}},L_{\mathrm{device}},L_{\mathrm{edge}}\}.
\]
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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