The background chapters establish the conventional superconducting baseline, then narrow toward the thesis mechanism: TRSB from internal winding in multicomponent superconductors, the BdG and topological language used to analyse microscopic representatives, and the low-energy phase dynamics of coupled superconducting phases.

This section is the thesis-facing result narrative. It is intentionally limited to three chapters. The computational notebooks and reusable implementations live in QuLab; this section keeps the argument, the selected evidence, and the conclusions.

This thesis now supports a clear final boundary and a coherent three-result story. The common question is how unusual quantum states become physically selected. The SSH chapter gives the topology-led case: a clean boundary state can survive the replacement of a hard edge by a soft, finite internal wall, and self-consistency turns that wall into a local condensate disturbance rather than destroying the boundary diagnostic. The INT chapter gives the obstruction case: a proposed nonunitary superconducting state has the right symmetry and the right imposed-state signatures, but the tested local mean-field loops do not spontaneously select the time-reversal-odd pair-spin imbalance. The loop-supercurrent chapter gives the constructive case: once the obstruction is understood as a separation between amplitude support and TRSB selection, a macroscopic Josephson-island/proximity construction can be designed in which a winding branch is selected without imposed flux.

This section keeps thesis-level technical material without interrupting the main argument. Appendices should be narrow, cited from the chapter that uses them, and limited to derivations, reference tables, or supplementary constructions needed by the defended thesis. The final appendix also collects the thesis-local PDF snapshots of the three paper manuscripts associated with the results chapters.

Full bibliography grouped by theme.