Rigorous Completion of the Hopf‑Invariant Proof for the Ouroboros System

Key Points

• This note aims to fill gaps in the proof related to the Hopf-invariant in the Ouroboros system.
• Supplied two missing lemmas to reinforce the main argument from Werbos (2026b)
• Focused on establishing mathematical rigor in the proof of Q[A,J] = H(Φ)
• Charge quantization is confirmed as a theorem of differential topology through the completed proof.