Complex Formalism in Quarkbase Cosmology: Unified Description of Gravitational, Electromagnetic, and Quantum Interactions

This work extends Quarkbase Cosmology into the complex domain, demonstrating that the use of complex functions does not alter the physical content of the theory but unifies gravitational, electromagnetic, and quantum interactions within a single analytical structure. The field expression Ψ(x,t) = A e^{i(ωt − k·x)} compactly represents both the longitudinal (pressure) and transverse (vorticity) components of the etheric plasma. Maxwell’s equations emerge as a complex wave equation whose real part corresponds to electric pressure and whose imaginary part represents magnetic vorticity, while Lorentz invariance is strictly preserved. The formalism also yields the nucleus–electron resonance frequency at r_B directly from the complex phase conditions of the field. The result is a unified framework in which gravity, electromagnetism, and quantum mechanics arise from coherent oscillations of a single frictionless etheric medium.