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The existence of twisted light may be inferred from modern quantum concepts and experimental data. These waves possess energy, impulse and angular momentum. However, the Maxwell’s four-dimensional theory of electromagnetism does not imply the existence of waves with these properties. This article develops a model generalizing the theory of electromagnetism in such a way that it would be possible to obtain equations of twisted electromagnetic waves. Generalization is implemented by introduction of a space-time with a more complex structure compared to the four-dimensional space-time. Such spaces include a seven-dimensional space-time, which allows to describe not only translational, but also rotational motion of bodies. A model developed by the author provides the following results: 1) generalization of the theory of electromagnetism in which it is possible to obtain equations of twisted light waves, 2) solution describing interference of light waves oppositely twisted, 3) the formula relating the energy, impulse and angular momentum of electromagnetic wave, 4) justification of a new phenomenon - redshift due to electromagnetic waves screwing.

Some aspects of wave and quantum approaches at description of movement of twisted light