  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.
