QUANTUM INTERFERENCE EFFECTS IN HOŘAVA–LIFSHITZ GRAVITY

Abstract

The relativistic quantum interference effects in the spacetime of slowly rotating object in the Hořava–Lifshitz gravity as the Sagnac effect and phase shift of interfering particle in neutron interferometer are derived. We consider the extension of Kehagias–Sfetsos (KS) solution48 in the Hořava–Lifshitz gravity for the slowly rotating gravitating object. Using the covariant Klein–Gordon equation in the nonrelativistic approximation, it is shown that the phase shift in the interference of particles includes the gravitational potential term with the KS parameter ω. It is found that in the case of the Sagnac effect, the influence of the KS parameter ω is becoming important due to the fact that the angular velocity of the locally non-rotating observer is increased in Hořava gravity. From the results of the recent experiments50 we have obtained lower limit for the coupling KS constant as ω ≃ 1.25 ⋅10-25 cm -2. Finally, as an example, we apply the obtained results to the calculation of the UCN (ultra-cold neutrons) energy level modification in the gravitational field of slowly rotating gravitating object in the Hořava–Lifshitz gravity.