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Quantum interference effects in conformal Weyl gravity

Abdullo HakimovUlugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent 100052, UzbekistanAhmadjon AbdujabbarovNational University of Uzbekistan, Tashkent 100174, UzbekistanBakhtiyor NarzilloevNational University of Uzbekistan, Tashkent 100174, Uzbekistan
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Аннотация

We investigate the effects of conformal gravity as a phase shift by quantum interference and alternate approach of Sagnac effect which is based on the anisotropy of the coordinate speed of light in the fourth-order theory of conformal Weyl space–time. In the nonrelativistic approximation, it has been shown that the phase shift of the interfering particle in neutron interferometer includes the potential terms with the Weyl parameter of the conformal fourth-order theory. Comparing the results of the measurement of the gravitational redshift by the interferometer in the gravitational field of the earth with our theoretical prediction, it has been obtained upper limit for the Weyl parameter as [Formula: see text].

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