Fractional Laplace Feedback, Electromechanical Calibration Matrices, and Permanent Dielectric Collapse in Conformal Nanometric Radii

We define the complete electromechanical calibration protocol and closed-loop feedback control architecture required to stabilize substrate-independent quantum mediation interfaces. Traditional binary open-system controllers collide with mechanical hysteresis bounds and ambient phononic noise profiles, triggering localized structural failure across sub-nanometric interaction vectors. Moving beyond these constraints, we implement an unconstrained non-Markovian fractional Laplace control function G(s) = Kp + K i /s κ + K d s κ driven natively by the balanced ternary efficiency exponent (κ = ln(2)/ ln(3) ≈ 0.630929). Co-axial piezoelectric actuators actively clamp an inorganic Silicon Nitride (Si 3 N 4) fluidic cell configuration, restricting film thickness variations to an asymmetric saturation ceiling of z = 1.0 ± 0.2 nm under an optimized critical hydrostatic pressure of P crit ≈ 4.5 GPa. Metrological tracking of the interfacial capacitance matrix confirms that at this threshold, the host medium experiences a permanent dielectric collapse (ϵ ef f ≤ 4.0), opening a stable extreme-ultraviolet transit window while shielding the endogenous 13 C nuclear spin registers from environmental thermal degradation. Numerical integration of the closed-loop transfer functions confirms an instantaneous damping of transient shock waves without residual plastic strain accumulation (εpl = 0), establishing an invariant metrological baseline reproducible across parallel physical architectures.