01 / Voltage Even
The leading scalar profile is sourced by \(u_E\propto E^2\), so it is even under polarity reversal.
Working paper / June 6, 2026
Weak-Field Radion Electrogravity from Maxwell-Compatible Five-Dimensional Projections
A controlled weak-field limit for the scalar or radion path in speculative electrogravity models.
01 / Abstract
Abstract
A recurring obstacle in speculative electrogravity models is the absence of a controlled weak-field limit. This paper develops such a limit for the scalar or radion path suggested by five-dimensional projection electrodynamics.
The effective four-dimensional theory contains gravity, a Maxwell field weighted by a scalar-dependent constitutive factor \(Z(s)\), and a massive scalar \(s\) interpreted as a radion, projection modulus, or readout variable.
Existing high-vacuum null results and equivalence-principle tests are translated into bounds on the coefficient product \(\alpha_E\gamma_s\). The conclusion is deliberately conservative: the scalar path is mathematically formulable and experimentally constrainable, but it is not evidence for gravity control.
02 / Model
Weak-Field Scalar Path
The model separates electromagnetic sourcing from gravitational readout so future null experiments can bound the product of the two couplings.
\[
\nabla\cdot[Z(s)\mathbf E]
= \rho/\epsilon_0,\qquad
(\nabla^2-m_s^2)s
= -\alpha_E\frac{\epsilon_0E^2}{2}
\]
\[
\delta\mathbf g
= -\frac{1}{2}\gamma_sc^2\nabla s
\]
03 / Predictions
Symmetry And Bounds
The radion path is useful because it makes definite symmetry and range predictions even before a microscopic fifth-dimensional action is fixed.
02 / Symmetric Null
Ideal symmetric infinite capacitors should not produce thrust; finite edges and mass asymmetry matter.
03 / Edge Dominance
The signal is controlled by gradients of electrostatic energy density, especially near edges and dielectric boundaries.
04 / Range Suppression
The scalar range \(\lambda_s=m_s^{-1}\) controls whether nearby or long-range energy density dominates.
\[
|\alpha_E\gamma_s|
< \frac{2F_{\mathrm{lim}}}
{c^2\mathcal G(m_s)}
\]
04 / Files
Paper Files
The PDF is generated from the LaTeX source. Both are published for auditability and future revision.