01 / Problem
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Paper 038 / June 14, 2026
Finite-Difference and Retarded-Potential Solvers for Gravity-Cogravity Fields
A computational proposal for mass-current source ledgers, causal kernels, and benchmark geometries
01 / Abstract
Abstract
This proposal specifies a computational solver for Jefimenko-style gravity/cogravity. The solver evaluates retarded potentials and direct Jefimenko integrals from mass-current source histories, records continuity and gauge residuals, and exports parity-aware signatures for experiments and observational fits. The paper argues that solver metadata - retarded interpolation, mesh convergence, singular-cell rules, and residual gates - is part of the scientific claim. A first benchmark suite is proposed for static spheres, rotating rings, mass-current pulses, and binary toy models.
02 / Frame
Research Frame
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\[
R_{ia}=|\x_i-\xp_a|,\qquad t_{{\rm r},n}^{ia}=t_n-R_{ia}/c.
\]
\[
\begin{aligned}
\Phi_i^n&=-G\sum_a V_a\frac{\rho_a(t_{{\rm r},n}^{ia})}{R_{ia}},\\
\A_i^n&=-\frac{G}{c^2}\sum_a V_a\frac{\J_a(t_{{\rm r},n}^{ia})}{R_{ia}}.
\end{aligned}
\]
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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