Zitterbewegung (ZBW), the trembling motion predicted by the Dirac equation, has long remained unobservable in free electrons due to its sub-Compton scale. We elaborately construct a relativistic vortex electron wave packet as a coherent superposition of both positive- and negative-energy Dirac states and derive their space-time dynamics. Our analysis demonstrates that introducing orbital angular momentum provides a mechanism for amplifying the ZBW amplitude far beyond that of conventional Gaussian packets, while maintaining coherence. The resulting relativistic vortex states unify Gaussian and Bessel-Gaussian models within a single framework and opens new possibilities for observing relativistic quantum dynamics in structured electron wave packets.
We prove that the truncated representation ring of SU(2) is isomorphic to the character ring of Z2^x at matching levels (Silent Parameter Principle). The 2-adic ZBW frequency is computed as sqrt(2) x 2mc^2/hbar, a 41.4% deviation from the Archimedean value. The ZBW oscillation is identified as the physical clock bridging both completions. Yang-Feldman equation is recast on Bruhat-Tits tree. p-adic Foldy-Wouthuysen transformation constructed. Single-ion trapped-ion experimental timeline: 2028-2032.