QUANTUM INTERFERENCE EFFECTS IN HORAVA-LIFSHITZ GRAVITY

The relativistic quantum interference effects in the spacetime of slowly rotating object in the Horava-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) solution(48) in the Horava-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 omega. It is found that in the case of the Sagnac effect, the influence of the KS parameter omega is becoming important due to the fact that the angular velocity of the locally non-rotating observer is increased in Horava gravity. From the results of the recent experiments(50) we have obtained lower limit for the coupling KS constant as omega similar or equal to 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 Horava-Lifshitz gravity.