Multivectors change the paradigm of electromagnetic theory. Multivectors derive not only Maxwell's equations but also energy density, Poynting vectors, Joule heat and electromagnetic force solely through calculation without the aid of experimental laws. Moreover, this process can be repeated three more times by changing the dimension of multivector in 4-dim. And these four Maxwell equations tell us what charge, spin, quarks, and mass are. The 2-vector rotor and booster transform the coordinate system and derive the ladder operator without quantum mechanics. The commutative relation of the angular momentum operator, the uncertainty principle, and the reason photons can be counted in the photoelectric effect are explained by the infinitesimal rotor and booster. These three phenomena, including Planck's constant, indicate that the infinitesimal rotor and booster are always operating. The universe is vibrating, and the current magnitude of cosmic background vibration is Planck's constant.