  Concepts of high precision studies of the one-way speed of light anisotropy
are discussed. The high energy particle beam allows measurement of a one-way
speed of light anisotropy (SOLA) via analysis of the beam momentum variation
with sidereal phase without the use of synchronized clocks. High precision beam
position monitors could provide accurate monitoring of the beam orbit and
determination of the particle beam momentum with relative accuracy on the level
of $10^{-10}$, which corresponds to a limit on SOLA of $10^{-18}$ with existing
storage rings. A few additional versions of the experiment are also presented.
