Apparatus is provided for a fiber optic gyro. The fiber optic gyro includes a ring resonator having first and second counter-propagating directions. The ring resonator includes a coil having an axis and an optical fiber having a hollow core. The ring resonator is configured to produce a first resonance frequency when a first light beam circulates through the hollow core in the first counter-propagating direction and produce a second resonance frequency when a second light beam circulates through the hollow core in the second counter-propagating direction. A difference between the resonance frequencies indicates a rotation rate of the fiber optic gyro about the axis.