Quantum Interference Effects in Horava-Lifshitz Gravity

TL;DR

This paper investigates quantum interference effects like the Sagnac effect and phase shifts in neutron interferometry within Hořava-Lifshitz gravity, revealing how the KS parameter influences these phenomena and deriving experimental bounds.

Contribution

It extends the analysis of quantum interference effects to Hořava-Lifshitz gravity, incorporating the KS solution and deriving observable consequences and bounds on the KS parameter.

Findings

The phase shift includes the KS parameter omega in the gravitational potential.

The influence of omega affects the Sagnac effect due to increased angular velocity.

Experimental data sets a lower limit on omega of approximately 1.25 ^{-25} cm^2.

Abstract

The relativistic quantum interference effects in the spacetime of slowly rotating object in the Ho\v{r}ava-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~\cite{ks09} in the Ho\v{r}ava-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 Ho\v{r}ava gravity. From the results of the recent experiments~\cite{holgeretal} we have obtained lower limit for the coupling KS constant as $\omega \simeq 1.25 \cdot 10^{-25} \rm{cm}^{2}$. 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 Ho\v{r}ava-Lifshitz gravity.