Quantum Inertial Force and its Consequences

Abstract. Inertial quantum equation of a moving particle is derived from our unified quantum equation. The self-inertial quantum force on a particle of mass m moving with constant velocity v is found to be Fm = − c h v, where h and c are the Planck’s constant and speed of light, respectively. This force is found to manifest the perpetual process of creation/annihilation that a moving particle undergoing. The origin of inertial quantum force is found to have a quantum aspect. When a charged (q) particle moves in a magnetic field with constant velocity, the critical magnetic field that makes the charge and mass move concurrently is Bcr = mc qh . In gravity, the angular momentum of the particle moving with constant velocity at a distance r from another particle is given by L = Gmh c2r . A spinning particle in gravity whose radius is equal to Schwarzschild radius has a spin equal to S = h/2, and that with radius equals to the classical electron radius will have spin S = h. As in Unruh effect, where an accelerating observer sees thermal radiation with temperature T = ha 2πckB , a particle moving with speed v is found to exhibit same effect if a = mc 2 h v, where kB is the Boltzmann’s constant. The radiation is found to extend only for a distance equals to the Compton wavelength. When the moving charged particle (magnetic moment) is placed in an external magnetic field, the particle precesses with Larmor frequency.