The same is true of all the theories about how certain lines, shapes, and compositions in an image "lead" the viewer's eye around the image in a certain way. Studies that actually determine where someone is looking have shown this to be all nonsense.
Thanks for bringing up this thought-provoking subject, Peter. It prompted me to do as you suggested, and search for the evidence backing it up. It turns out not to be all that easy to find, as most writings on the subject hew to the traditional concepts. However, with persistence relevant material can be found. The reference that Isaac linked is a good one. And on
p. 48 of Basics Photography 01: Composition, the author quotes the following passage from Feininger's 1972 book
Principles of Composition in Photography: "The entire theory of leading lines - lines that allegedly lead the viewer's eye to the so-called center of interest in the picture - is a fallacy." The Feininger book apparently references some scientific studies as the basis for that statement, although I wasn't able to get to that list.
A number of posts on the Gurney Journey design blog describe interesting experiments along the same lines:
What are you looking at? Eye Tracking and Composition: Part 1Eye Tracking and Composition: Part 2Eye Tracking and Composition: Part 3All very interesting work, which lends some insight into the subject at hand. However, I would respectfully suggest that given the current state of the science, it might be more appropriate to say that some doubt has been cast upon the utility of traditional notions of composition, rather than that they have been proven to be nonsense. The movements the eye makes are certainly of interest, but the eye just collects data; it is the mind that sees. The mind may construct images in a different order and with different emphases than data collection. Some of the material presented in Isaac's reference makes similar points.