The Spatio-Temporal Structure of the Effective Qubit Hamiltonian: Theoretical Framework V4.6 Integrating Thermal Lag (Delta K) as the Infrared Driver

While Quantum Electrodynamics (QED) fully describes the microscopic interaction of superconducting qubits, it lacks the explicit time dependence for macroscopic, non-Markovian environmental modulations. This work presents the Theoretical Framework V4.6, refining the HS degree framework by positioning the Spatio-Temporal Hamiltonian (H effective k of t) as the necessary infrared (IR) driver. We formally integrate the Thermal Lag (delta k) parameter, which quantifies the spatially non-uniform thermal inertia across the quantum chip. The resulting Hamiltonian (Equation 2) ensures the stability of SU(2) symmetry while accurately modeling the observed diurnal frequency drift and the spatial stress gradients. This framework extends the standard QED description to explicitly include geophysical boundary conditions, enabling deterministic correction protocols compatible with fault-tolerant operation (demonstrated by the simulated error reduction below the Pth threshold).