El. Amazeen et Mt. Turvey, WEIGHT PERCEPTION AND THE HAPTIC SIZE WEIGHT ILLUSION ARE FUNCTIONS OF THE INERTIA TENSOR, Journal of experimental psychology. Human perception and performance, 22(1), 1996, pp. 213-232
The complex effects of mass and volume on weight perception (e.g., the
size-weight illusion) were hypothesized to follow simply from invaria
nts of rotational dynamics. In Experiments 1-3, the rotational inertia
of wielded, occluded objects was varied independently of mass, size,
and torque. Perceived heaviness depended only on rotational inertia. R
eanalysis of J. C. Stevens and L. L. Rubin's (1970) study revealed tha
t size's influence on weight perception depends on specific patterns o
f the eigenvalues of the inertia tenser. These patterns were simulated
in Experiments 4-6 with objects of fixed mass, volume, and visible si
ze. Perceived heaviness decreased and increased, respectively, over ob
ject sets with the eigenvalue patterns of (a) constant mass, increasin
g volume and (b) increasing mass, constant volume. Weight perception a
nd the size-weight illusion depend on stimulus invariants, not inferen
ce.