Relativistic Correction to Quantum Electrodynamics: The (v/c)^2 Effect in Josephson Frequency

Relativistic Correction to Quantum Electrodynamics: The (v/c)^2 Effect in Josephson FrequencyAbstract We point out that the standard Josephson relation f=K_j U neglects the physical limitation imposed by the carrier velocity v. By introducing the world factor (c/v)^2from the World Quantum model, we rigorously derive a corrected Josephson frequency formula from energy conservation:f_w= K_j U(v/c)^2This result indicates that the experimentally observed quantum oscillation frequency is dynamically suppressed by the carrier velocity, with (v/c)^2acting as a quantum response efficiency factor. This effect is significant in low-energy systems where v≪c, providing a new framework for reinterpreting the energy-frequency relationship in quantum devices.