Vitex

I like your thinking, but space and time are part of the same space-time "fabric." What you describe accomplishes the same thing, and is functionally the same as speeding up time. In fact it doesn't matter which perspective you choose both are actually correct. That is some of the crazy stuff Einstein's Relativity describes.

Just and idea, but I'm thinking that the time bubbles cause some interesting things with the cognitive space. I think I remember Brandon saying something on the lines of an object either knows it's inside or outside the bubble and can't be both. This sounds like cognitive concept, like the object has to make the determination. If this is the case then the whole perception of time must carried by the people and objects inside the bubble. Photons are just particles and have no cognitive ability therefore ignore the bubble entirely and carry on business as usual.

From what I know, there should definitely be some red and blue shift occurring (know as the Doppler effect). There are a couple of factors here. First, the time bubbles should be manipulating space and time since they are parts of the same substance. This is evident in the fact that when objects like bullets hit the bubble's edge they change trajectories. It also known that warping space-time causes a red shift to occur like when light passes through a gravity well. By what factor I can't say. Second the rapid movement of the people inside the bubble should show this shift. If they are moving towards the observer they should appear slightly shifted towards the blue end, away and they should be shifted towards the red. It may be that the shifts are not large enough to be noticeable. You should however be able to tell if they are red shifted by using a radar speed gun, since those work off these same principles by using microwaves instead of visible light. If anyone is interested I may be able to compare the speeds on known red shifted galaxies and try to calculate the speeds of people as they are moving in the bubble.