Emergent Shell-Like Filling Hierarchy of Electron-Like ECSM Response Packets

This paper reports the V11 ECSM electron-like packet shell-hierarchy test. Building on the previous ECSM electron-like packet sequence, V11 replaces manually assigned shell filling with a generated response-centre energy hierarchy. Candidate modes are produced from a structured response-centre ansatz, clustered by energy, and audited afterwards against their internal labels. The detected hierarchy reproduces the orbital degeneracy sequence 1, 3, 5, 7, the capacity ladder 2, 6, 10, 14, and the cumulative closure sequence 2, 8, 18, 32. Duplicate occupancy collapses the determinant, same-group two-internal filling remains allowed, all detected closure fillings remain allowed, and closure overflow by duplicate occupancy is forbidden. The test passes all 21 final criteria. Chi-deformation preserves the detected shell hierarchy while shifting the response-centre energy span. An optional anisotropy diagnostic is also included as a route toward later fine-structure-like splitting tests. This result is not claimed as a full derivation of atomic structure or the periodic table. It is presented as a reproducible bridge result showing that ECSM electron-like response-centre modes can generate a shell-like degeneracy and closure hierarchy under a finite-response stability ansatz. Associated notebook: ECSMElectronLikePacketEmergentShellHierarchyV11. ipynb Repository: https: //github. com/asheldrick-research/ecsm-framework