  In the field theories with twistor structure particles can be identified with
(spacially bounded) caustics of null geodesic congruences defined by the
twistor field. As a realization, we consider the ``algebrodynamical'' approach
based on the field equations which originate from noncommutative analysis (over
the algebra of biquaternions) and lead to the complex eikonal field and to the
set of gauge fields associated with solutions of the eikonal equation.
Particle-like formations represented by singularities of these fields possess
``elementary'' electric charge and other realistic ``quantum numbers'' and
manifest self-consistent time evolution including transmutations. Related
concepts of generating ``World Function'' and of multivalued physical fields
are discussed. The picture of Lorentz invariant light-formed aether and of
matter born from light arises then quite naturally. The notion of the Time Flow
identified with the flow of primodial light (``pre-Light'') is introduced in
the context. Popularization and development of the paper math-ph/0311006.
