Unified Dipole-Vector Graviton and Plasma-Filament Hypothesis

ABSTRACTWe present a self-consistent modified gravity framework in which a massive Proca-type vector field Aμ with non-linearself-interactions is coupled to classical General Relativity and an extended string/plasma sector. By introducing dynamicvector polarity configurations alongside a quartic self-interaction term −λ(AμAμ)2, the effective stress-energy tensorreproduces flat galactic rotation curves in localized anti-parallel alignment states, while isotropic cosmological background states yield negative pressure driving cosmic acceleration. Taking the covariant divergence of the fieldequations dynamically enforces the Lorenz condition (mg2 − 4λ AνAν)∇μAμ = 0, eliminating ghost instabilities in the scalardegree of freedom. At high energy densities, the quartic self-coupling acts as a repulsive potential barrier, preventing mathematical metric singularities during core collapse. Finally, coupling Aμ to localized string tensors Hμν and plasmacurrents Jμstring provides a natural mechanism for plasma channeling and Z-pinch node dynamics along cosmic flux tubes.