I'll just note here that the pilot studies for Mossibridge et al.'s "Future Photon Experiment" might also be consistent with the idea of a psychokinetic influence on a random number generator, rather than retrocausation.
The first pilot study found that the fringe pattern in a double-slit experiment during the first minute was correlated with the overall duration of the illumination, which was chosen randomly after 90 seconds. But a second pilot study found that when the overall illumination was chosen randomly after 22 seconds, there was no significant correlation. That seems consistent with the idea, because the data for the full minute hadn't yet been collected when the random choice was made, so in the absence of retrocausation the random choice could be influenced only by the first 22 seconds' data, and when the subsequent data were added any correlation could be expected to become much weaker.
However, this was only an unpublished pilot study, and it's indicated that problems were found with the calibration of the device.
The first pilot study found that the fringe pattern in a double-slit experiment during the first minute was correlated with the overall duration of the illumination, which was chosen randomly after 90 seconds. But a second pilot study found that when the overall illumination was chosen randomly after 22 seconds, there was no significant correlation. That seems consistent with the idea, because the data for the full minute hadn't yet been collected when the random choice was made, so in the absence of retrocausation the random choice could be influenced only by the first 22 seconds' data, and when the subsequent data were added any correlation could be expected to become much weaker.
However, this was only an unpublished pilot study, and it's indicated that problems were found with the calibration of the device.