Jason D. Padgett, a student at Tommaso Dorigo's
blog, who has to my knowledge previously been ignored, left an interesting comment, an edited version of which I shall post here.
Hello again, thanks for the comment. Some were not as kind ... The equation I am referring to comes from the Planck constant and the pure geometry of space time. What I did initially was to try to draw ... the structure of space time keeping in mind Planck’s constant. In other words ... every time you move through space you must move exactly one or whole multiples of one Planck constant.
Don't take this literally
to mean spacetime, but think of it as a local model for spacetime, in which there is a proper notion of local Planck scale. Carrying on:
Planck constants also vibrate at the speed of light. What causes the Planck constants to vibrate is uncertainty ... Anyway, once you have a grid drawn with Planck lengths and you start them vibrating (from uncertainty) you will see that at specific points the Plancks will collide with each other at the speed of light ...
OK, so this is kind of fun, but is it telling us something interesting? Next we have:
When you draw this diagram the only shape that space time can take is a 2 dimensional hexagon or 3 dimensional cube ...
Heisenberg's hexagons from fractals! Now that's
cool. I'm hoping to take a closer look at his work.