This study investigates the relativistic dynamics of vector bosons in the rotating frame of negative curvature wormholes. The research derives exact solutions for the fully-covariant vector boson equation, which is formulated as an excited state of zitterbewegung. The equation includes a symmetric rank-two spinor, enabling the derivation of a non-perturbative second-order wave equation for the system. The study presents exact results in two scenarios: hyperbolic and elliptic wormholes. The results show that the system's evolution is influenced by the angular frequency of the rotating frame and the curvature radius of the wormholes. The interaction between the vector boson's spin and the rotating frame's angular frequency can lead to real oscillation modes, particularly in massless vector bosons. The energy spectra remain the same whether the wormhole is hyperbolic or elliptic. The study also highlights that the energy of the system depends on the wormhole's curvature and the rotating frame's angular frequency, but the energy spectra are independent of the wormhole's radius. The results show that the coupling between the rotating frame's angular frequency and the particle's spin can lead to symmetry breaking around zero energy. For massless vector bosons, the system may exhibit damped modes, especially in excited states. The study also shows that the decay time of these modes can be very long if the wormhole's curvature radius is large. The results are applicable to both hyperbolic and elliptic wormholes, and the energy spectra are the same when the wormhole's curvature radii are equal. The study provides insights into the behavior of vector bosons in curved spacetime and the effects of rotating frames on quantum systems.This study investigates the relativistic dynamics of vector bosons in the rotating frame of negative curvature wormholes. The research derives exact solutions for the fully-covariant vector boson equation, which is formulated as an excited state of zitterbewegung. The equation includes a symmetric rank-two spinor, enabling the derivation of a non-perturbative second-order wave equation for the system. The study presents exact results in two scenarios: hyperbolic and elliptic wormholes. The results show that the system's evolution is influenced by the angular frequency of the rotating frame and the curvature radius of the wormholes. The interaction between the vector boson's spin and the rotating frame's angular frequency can lead to real oscillation modes, particularly in massless vector bosons. The energy spectra remain the same whether the wormhole is hyperbolic or elliptic. The study also highlights that the energy of the system depends on the wormhole's curvature and the rotating frame's angular frequency, but the energy spectra are independent of the wormhole's radius. The results show that the coupling between the rotating frame's angular frequency and the particle's spin can lead to symmetry breaking around zero energy. For massless vector bosons, the system may exhibit damped modes, especially in excited states. The study also shows that the decay time of these modes can be very long if the wormhole's curvature radius is large. The results are applicable to both hyperbolic and elliptic wormholes, and the energy spectra are the same when the wormhole's curvature radii are equal. The study provides insights into the behavior of vector bosons in curved spacetime and the effects of rotating frames on quantum systems.