Interferometric Sector-Gate Quantum Dynamics for AGI: Parity-Driven Tunneling First and the Case for a Topological Core

We synthesize the Sector-Gate and Eigenstate Dynamics programs for Artificial General Intelligence (AGI) into a single interferometric framework that is emphhardware-constrained by parity readout on InAs–Al hybrid nanowires. Building on recent interferometric, single-shot parity measurements with h/2e-periodic bimodality and millisecond poisoning times in gate-defined superconducting nanowires, we formalize a measurement-driven gate calculus in which cognitive “sectors” are coupled by parity-conditional tunneling. We prove a Tunneling-First Principle: in the readout-limited regime, optimal learning capacity and error-exponent improvement are monotone in a balanced effective tunneling amplitude tC up to the onset of Majorana-splitting backaction, thereby prioritizing engineered tunnel networks before large-scale sector expansion. We further give a compact proof sketch that topological cores minimize the composite error functional combining dephasing, leakage, and control overhead under measurement-only constraints; the core argument exploits non-local Z2 parity conservation, exponential wire-length protection, and interferometric discriminability. Finally, we propose a layout where Sector-Gate operators are compiled into parity interferometers on triple-dot loops, yielding an AGI substrate whose primitive is “ParityFuse” rather than CNot. The resulting calculus upgrades cognitive gates to fault-biased, measurement-only primitives consistent with scalable utility.1