The Minimal Dynamical Form of the Quantum Gauge Theory of Time

Companion technical paper of the Quantum Gauge Theory of Time (QGT). Starting from a single global physical generator and a finite non-invertible access to a conserved whole, this work derives the exact retained-sector reduction of the dynamics. The unread sector produces a retarded Volterra memory kernel and, equivalently, a Schur–Feshbach self-energy. For the scalar boundary return, positivity and spectral determinacy select the minimal cyclic SU(1,1) realization associated with the sech return amplitude. The paper further develops the corresponding generation readout while keeping the physical identification of downstream particle and field sectors explicitly conditional. The project hosts the canonical manuscript, reproducibility material, verification scripts, provenance records, and versioned QGT release alignments.