Monograph D: Protocol Sovereignty

This monograph formalizes "Protocol Sovereignty," an operator-theoretic analysis of inter-operator interaction, handshake mechanics, and consent topology. The study addresses a major gap in classical legal and jurisprudential frameworks: the inability to mathematically define and enforce boundaries against sub-perceptual coercion, forced state-space coupling, and agency degradation. Using non-self-adjoint operator calculus in Hilbert space, the paper establishes the exact mathematical criteria required for valid mutual interaction (S_handshake) between sovereign state vectors. It demonstrates that any handshake attempt accompanied by coercive perturbation or executive agency impairment (delta phi_intrusion > 0) triggers an immediate projection onto the Absolute Rejection Boundary (P_Reject). This project reduces interactive channel impedance to zero and topologically nullifies the transaction. Consequently, non-consent ("No") is proven to function as an absolute, unbreachable structural law in Hilbert space. This work extends the Emerald Research Group archive (Zenodo DOIs: 10.5281/zenodo.23274222, 10.5281/zenodo.23277767, 10.5281/zenodo.23278438, 10.5281/zenodo.23287177, 10.5281/zenodo.23287249, and 10.5281/zenodo.23287804).