The effect cannot be attributed to any apparent motion effect, such as phi or beta motions (Anstis,
1970; Bonneh et al.,
2001; Steinman, Pizlo, & Pizlo,
2000; Wertheimer,
1912), counteracting the genuine motion of the dots. To generate such an apparent motion, the dots would need to change color out of phase (for example, one dot changing
from blue as a nearby dot changed
toward blue). In
Experiment 2, using color change as the silencing dimension, the dots changed uniformly and simultaneously, such that no apparent motion was generated. When size was used as a silencer (
Experiment 3), each dot kept the same color, and so, again, no apparent motion was present. The effect with the color silencer might, potentially, be attributed to some luminance strobe artifact that obscured all motion signals, because the HSV color space we used does not keep the dots at a constant luminance. That would not, however, explain the effect in the size-change version of the effect; in that case, the luminance of each dot was chosen randomly, with an average that matched the luminance of the screen. One might contest that the size changes introduced a small amount of motion
noise because the edges of the dots, as they expand and contract, are essentially moving. To show that this is not sufficient to explain the effect, I provide a further movie (
Supplementary Movie S1) that is identical to the demonstration in
Movie 3, except for having one-tenth the dot density. The signal-to-noise ratio of the motions is identical, being determined by the rate of motion versus the rate of size change, not by the number of dots. Therefore, any effect of the motion noise should be the same in
Movie 3 and
Supplementary Movie S1. On the other hand, if the effect were caused by silencing, of the type described by Suchow and Alvarez (
2011), then we do expect it to be dependent on dot density (Turi & Burr,
2011). It should be clear from
Supplementary Movie S1 that the effect is substantially reduced, in keeping with a silencing effect rather than motion noise.