SS-MAT: Scale-Extended Matter Sources: Protected Matching, Scale Transport and Completion Gates

Scale-extended matter requires both a source map and dynamics compatible with the gravitational constraints. This programme paper consolidates the retained protected-source interface, bounded mediator calculations, local constraint tests, and five-dimensional parent comparisons. A protected common envelope is an effective low-energy assumption; a nonprotected source must follow from a specified action. In the retained scale-transport branches, conservation takes the form of a leaf–scale momentum balance rather than independent conservation at every scale. The tested endpoint-coupled regulator architectures do not establish a locally first-class gravitational completion. A common five-dimensional parent repairs one symmetry problem but does not automatically reproduce the retained parent-comparison tensor and scalar sectors. The declared reduced scalar comparison operator has positive discrete eigenvalues on its specified domain; this is not an assertion of the physical scalar spectrum of a fully coupled five-dimensional parent. Comparison with the continuous linear SS-DYN response remains separate from matching a finite model. The finite common-metric family established in SS-DYN v7 supplies the dynamical reference, with the companion Version 8 material-source extension treated separately. A new bounded coupled material-source test and a refined focusing-window balance check provide additional classical evidence without completing the independent-leaf parent. These results define a bounded source-matching and architecture record, not a completed matter theory. Coupling normalization, a full nonlinear completion, apparatus response and distinctive empirical evidence remain open.