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