# Field and matter respond together

Saved real-time field evolution and a dynamically coupled homologous cloud. The converted boundary escapes the shrinking material source during this finite interval. Density is reconstructed from the exact ansatz and saved radius; field samples are decimated for display only. This is not a full local field–fluid conservation or compact-object calculation. Grid refinement reduces the final energy residual to about 0.35% of exchanged matter energy. A later unresolved interval is not animated as a valid prediction.

Four panels show field, matter density, both radii, and exchanged energy. The boundary expands beyond the cloud while the energy changes nearly balance.

## Grid spacing 0.025

Same inertia 10⁶ and potential; resolution comparison. Density follows the declared mass-conserving one-mode ansatz. The field backreacts on its radius. The wall trajectory is an output.

First: Time 0.000; matter radius 12.800; converted radius 0.000; bulk speed -0.0150c. Quantities use this dimensionless model. No full fluid or stellar solution is implied.

Last: Time 110.000; matter radius 7.023; converted radius 16.488; bulk speed -0.0701c. Quantities use this dimensionless model. No full fluid or stellar solution is implied.

## Grid spacing 0.0125

Same inertia 10⁶ and potential; resolution comparison. Density follows the declared mass-conserving one-mode ansatz. The field backreacts on its radius. The wall trajectory is an output.

First: Time 0.000; matter radius 12.800; converted radius 0.000; bulk speed -0.0150c. Quantities use this dimensionless model. No full fluid or stellar solution is implied.

Last: Time 110.000; matter radius 7.023; converted radius 16.506; bulk speed -0.0701c. Quantities use this dimensionless model. No full fluid or stellar solution is implied.