@unpublished{smonad-gauge-vacuum-obstructions,
  author = {Haj Yousef, Mohamed},
  title = {{Vacuum Obstructions, Protected Band Geometry, and Quadratic-Form Feshbach Reduction in Auxiliary-Time Lattice Gauge Hamiltonians}},
  note = {Working manuscript; v2; 27 PDF pages. Focused manuscript. Source copy catalogued 2026-10-18.},
  url = {https://www.smonad.com/gauge/papers/vacuum-obstructions-form-feshbach-v2.pdf},
  urldate = {2026-10-18}
}