I've seen this before. It mindfucks you, but it doesn't explain how it deals with causality, which is the major obstacle regarding travelling through temporal dimensions. I'd quite like to read the book, though.
Causality is explained by any random element in the fundamental rules governing the universe.
I got totally lost with the 6th dimension explanation as well, but I think overall the concept is sound, the numbers just might be wrong. But anyway, as for my understanding of it it goes like this. Considering the index analogy, it would be like it is in alphabetical order.. They'd be stacked something like this:
Universe A: I get up, I have eggs for breakfast, I go to work.
Universe B: I get up, I have eggs for break fast, I call in sick.
Universe C: I get up, I have cereal for breakfast, I go to work.
Universe D: I get up, I have cereal for breakfast, I call in sick.
Universe E: I dont get up.
This way, anything can be changed, but it only takes moving from one stack to the next. The 10x10 image could be described as stacked in this manner as well.. I think.. I am really shit on physics though, even worse than calculus..
I think the point is that the speed of light is irellevant as far as dimensions. You could have a 3d universe where the speed of light is different.. I think.. But that isnt actually a change of dimension. Either that or I am just completely wrong.
Have a nice day.