• The gravitational redshift of a optical vortex being different from that of an gravitational redshift plane of an electromagnetic wave

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      https://www.ias.ac.in/article/fulltext/joaa/039/03/0038

    • Keywords

       

      Redshift; optical vortex; twisted light; angular momentum; relativistic rotator; orbital angular momentum.

    • Abstract

       

      A hypothesis put forward in late 20th century and subsequently substantiated experimentally posited the existence of optical vortices (twisted light). An optical vortex is an electromagnetic wave that in addition to energy and momentum characteristic of flatwaves also possesses angular momentum. In recent yearsoptical vortices have found wide-ranging applications in a number of branches including cosmology. The main hypothesis behind this paper implies that the magnitude of gravitational redshift for an optical vortex will differ from the magnitude of gravitational redshift for flat light waves. To facilitate description of optical vortices, we have developed the mathematical device of gravitational interaction in seven-dimensional time-space that we apply to the theory of electromagnetism. The resulting equations are then used for a comparison of gravitational redshift in optical vortices with that of normal electromagnetic waves. We show that rotating bodies creating weak gravitational fields result in a magnitude of gravitational redshift in optical vortices that differs from themagnitude of gravitational redshift in flat light waves. We conclude our paper with a numerical analysis of the feasibility of detecting the discrepancy in gravitational redshift between optical vortices and flat waves in the gravitational fields of the Earth and the Sun.

    • Author Affiliations

       

      YURIY A. PORTNOV1

      1. Department of Physics, The Moscow State Automobile and Road Technical University (MADI), Leningradskiy Prosp. 64, Moscow, Russia 125319.
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