  The present work is aimed to explain why we started to consider Vibrating
Rays Theory (VRT) as a viable representation of nature, and to elaborate some
of its consequences. In 1846 Faraday introduced the concept of vibrating rays,
in which an atom is conceived as having rays that extend to infinity and move
with it. According to this point of view, electromagnetic radiative phenomena
correspond to vibration of these rays, which propagate at speed c relative to
the rays (and the atom). Although a discussion on this subject might seem to be
out-of-date, there are many reasons that justified this debate. The first
reason is based on the fact that the constancy of the speed of light,
irrespective of the source movement, has not been demonstrated experimentally
in a conclusive way. In fact, only ballistic emission theories can be discarded
by the experimental results. The second reason is based on the fact that study
of radiometric data from spacecrafts indicates the existence of different kinds
of anomalous Doppler residuals. We will show that these anomalies exhibit a
signature of Vibrating Rays Theory. The third reason is related to the time
definition in a rotating frame. According to SRT there is not a unique way to
assign a time, whereas under VRT no contradictions are present. And finally,
that a properly stated Vibrating Rays Theory is compatible with all known
experiments on electromagnetism and light propagation. In the present work we
will (1) explain how VRT should be interpreted, and why past experiments were
misinterpreted, (2) show the characteristics of VRT that are present in
spacecraft anomalies, (3) give a possible theoretical model (including the
possible presence of longitudinal waves), and (4) describe results in an
ongoing experiment designed to distinguish between VRT and SRT models.
