Abstract
The relativistic quantum interference effects in the spacetime of slowly rotating object in braneworld as the Sagnac effect and phase shift effect of interfering particle in neutron interferometer are derived in unified way. It is found that in the case of the Sagnac effect, the influence of brane parameter is becoming important due to the fact that the angular velocity of the locally non-rotating observer is increased by the brane tension. In the case of neutron interferometry, it is found that an additional term in the phase shift of interfering particle emerges due to the presence of the brane parameter Q*. From the obtained expressions of phase shift in Mach–Zehnder interferometer upper limit for brane parameter has been estimated. From the results of the recent experiments we have obtained upper limit for the tidal charge as Q* ≲ 107 cm 2. Finally, as an example, we apply the obtained results to the calculation of the (ultra-cold neutrons) energy level modification in the gravitational field of slowly rotating gravitating object in the braneworld.
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