The isorotating Q_H = 1 cell: far-field audit, isospin capacity, pair force (H3B step (i), research note, code and run logs)

Research note with code and run logs from the Resonant Vacuum Theory (RVT) programme, working notes of 23-27 September 2026, deposited as they stand on 29 September 2026 so that they can be cited from the manuscripts "Hydrogen as a Classical Standing Wave: Bohr Levels and Orbital Shells Emerge without Angular Input" (submitted to Atoms, MDPI, September 2026; Zenodo record 10.5281/zenodo.21096511, all versions) and "Toward a microscopic mechanism for Pauli exclusion" (in preparation). Content of the note (19 pages): far-field audit of the certified axisymmetric Q_H = 1 Hopf-soliton checkpoint of 19 August 2026 (a converged core on an unconverted far field); Sobolev (Helmholtz) preconditioned relaxation and the converged cell (E = 1501.98 in the frozen theory u = 0.8); the isorotation functional, its Noether charge Q_N and the parameter-free prediction for the rotating far field; the omega ladder; the self-field pre-check for H3B step (ii); the maximal isospin charge of the cell and how it fixes u; the half quantum Q_N = 1/2 and the canonical angular momentum J_z = k Q_N about the symmetry axis; definitions of electron cell, pair channels, atomic mode and exclusion; GPU rounds 1-4 with the coaxial pair channel, the orientation scan, the stability and ripple tests, and the Q_H = 2 collapse. Files: H3B_step1_isorotating_cell.pdf (the note) and its Markdown source; h3b_step1_code_and_runs.zip (analysis scripts, the preconditioned relaxer rvt_gate41_axis_v5s.py, the solver rvt_gate41_free_flow_gpu_axis_v5m.py and certification script, GPU drivers, all run logs, certificates, summaries and JSON tables, the figures, and the two-dimensional Pauli programme in one convention); gate41_k25_Q1_final.npz with its log (the certified checkpoint the note audits); README.md. Related work: Resonant Vacuum Theory code and data (10.5281/zenodo.18743654); Induced gauge stiffness, Hopf solitons, and the consistency of an ordered vacuum: a lattice study (Zenodo, August 2026).