  The aim of the experiment series was to test the influence of acceleration on
time dilation by measuring the relative spectral shift between the resonance
spectra of a rotating Mossbauer absorber with acceleration anti-parallel and
parallel to the direction of the incident beam. Based on the experiences and
know-how acquired in our previous experiments, We collected data for rotation
frequencies up to 510Hz in both directions of rotation and also used different
slits. For each run with high rotation, we observed a stable statistically
significant relative shift between the spectra of the two states with opposite
acceleration. This indicates the influence of acceleration on time dilation.
However, we found that this shift also depends on the choice of the slit, and
on the direction of rotation. These new unexpected findings, resulting from the
loss of symmetry in obtaining the resonant lines in the two states, could
overshadow the relative shift due to acceleration. This loss of the symmetry is
caused by the deflection of the radiative decay due to the Nuclear Lighthouse
effect from the rotating Mossbauer absorber. We also found that it is
impossible to keep the alignment (between the optical and the dynamical rotor
systems) with accuracy needed for such experiment, for long runs, which
resulted in the reduction of the accuracy of the observed relative shift. These
prevent us to claim with certainty the influence of acceleration on time
dilation using the currently available technology. An improved KB optics with
focal spot of less than 1 micron to avoid the use of a slit and a more rigid
mounting of the rotor system, are necessary for the success of such experiment.
Hopefully, these findings together with the indispensable plan for a conclusive
experiment presented in the paper, will prove useful to future experimentalists
wishing to pursue such an experiment.
