01 / Problem
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Paper 036 / June 14, 2026
Retarded Gravity-Cogravity as a Conserved Linear Field Theory
A Jefimenko-compatible foundation note for source causality, continuity, and negative field-energy accounting
01 / Abstract
Abstract
Jefimenko-style gravity/cogravity is treated here as a linear retarded mass-current field theory, not as a replacement for general relativity. The paper restates the gravity and cogravity equations, derives the Lorenz-gauge potentials, writes the retarded source integrals, proves the continuity constraint, and gives a Poynting-like energy ledger with negative gravitational field energy. The result is a foundation proposal: any later speculative application must preserve Newtonian recovery, source conservation, retarded boundary conditions, and energy-power closure.
02 / Frame
Research Frame
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\[
\partial_t\rho+\nabla\cdot\J=0.
\]
\[
\begin{aligned}
\nabla\cdot\gfield &= -4\pi G\rho, \\
\nabla\cdot\kfield &= 0, \\
\nabla\times\gfield &= -\partial_t\kfield, \\
\nabla\times\kfield &= -\frac{4\pi G}{c^2}\J+\frac{1}{c^2}\partial_t\gfield.
\end{aligned}
\]
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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