Rapid mass oscillations for gravitational wave emission: superconducting junctions Victor Atanasov * Faculty of Physics, Sofia University, 5 blvd J. Bourchier, Sofia 1164, Bulgaria July 2, 2023 Abstract We revisit the superconducting junction dynamics as a quantum two-level system in order to provide evidence that the oscillating cur- rent density in the junction is related to an oscillating charge and mass density in addition to an oscillating velocity. As a result, the superconducting junction emerges as a solid state device capable of producing rapid charge and mass oscillations inaccessible in other contexts. Rapid mass oscillations are required for gravitational wave emission when small masses are involved in the emission process. As a result, a superconducting junction device can produce gravitational waves provided the mass oscillation has a non-zero quadrupole mo- ment component. The smallness of Gc -5 can be fully compensated by the largeness of e 4 ℏ -6 . 1 Introduction Do superconducting junction current oscillations imply mass oscillations as well? Provided the charge density component of the current density does not remain constant, the answer is in the affirmative. Otherwise, the oscil- lation actually affects the drift velocity of the carriers which is the standard interpretation of the dynamics across the tunnelling junction[[1], [2] ]. * vatanaso@phys.uni-sofia.bg 1