[whswhs]

I've taken a long time to comment on this, because it seems incredibly complicated and hard to understand. It seems as if you're trying to introduce a new stat to take the place of Basic Speed. I'm not seeing what function that new stat performs that isn't already covered by Basic Speed, but it seems to me that what you describe has some problems:

* When you say that Velocity 10 equates to Altered Time Rate 1, that seems to point to the idea that +1 to Velocity gives you an additional 1/10 action. But what is a tenth of an action? I don't see how that would have any relevance in combat. If the one-tenth actions are supposed to add up over the span of many terms, that's a lot of extra bookkeeping; if they just get dropped, they don't seem to be worth anything.

* If you are assuming actual increased speed as part of velocity, you're overlooking one important implication of speed: kinetic energy. If your fist is moving faster it inflicts more damage. If you suppose that a normal person inflicts on the order of 1d, then +1 damage on top of 1d would be on top of 3.5, which would be +(2/7)d, which would be 1.29x kinetic energy; +2 would be 1.57x; +3 would be 1.86x; +1d would be 2x. Velocity 11 would give you 1.21x kinetic energy, Velocity 12 would give you 1.44x, Velocity 13 would give you 1.69x, and Velocity 14 would give you 1.96x; rounding down, I would say that Velocity 12 gave you 1d+1, Velocity 13 gave you 1d+2, and Velocity 15 gave you 2d+1.