The Hartman effect—where quantum tunneling time remains invariant to barrier thickness—presents a fundamental paradox that challenges both classical physics and special relativity. Here, we introduce a theoretical framework that resolves this paradox by proposing a radiation-mediated energy transport mechanism coupled with the electron's Zitterbewegung oscillation occurring at four percent of light speed. Our model introduces a dual-kernel architecture where an electron's thermal potential energy simultaneously occupies two distinct spatial locations, providing a deterministic interpretation of quantum superposition and tunneling phenomena. During barrier traversal, we demonstrate that electrons undergo a particle-to-radiation transformation while kernel dissolution occurs over a duration corresponding to the time it takes to traverse the Compton wavelength at four percent of the speed of light, with radiation propagating at light speed over the Compton wavelength. Since the kernel dissolution period is long compared to the radiation propagation time, the overall tunneling duration remains effectively independent of barrier thickness. This theoretical framework accounts for both the Hartman effect and the experimentally verified absence of electrons within potential barriers, while maintaining consistency with both quantum mechanics and special relativity. Our findings recast quantum tunneling as a deterministic energy redistribution process, offering new insights into the fundamental nature of quantum phenomena while maintaining consistency with established physical principles.