Has anyone noticed something weird about this? This appears to function in a manner opposite what Special Relativity would predict.
Consider the paradox of the twins, say. It is the twin who gets left behind who ages more than the twin who gallivants around the universe. This is because the moving twin measures proper time, and the twin who stays at home measures coordinate time. On the other hand, to the poor victim who goes on a scouting mission, far more time has elapsed than to the Thinkamancer who sits at home waiting for a status update.
From what I can gather, hexes function as both inertial reference frames (to some extent) and quantised regions of spacetime; if we quantify velocity as the rate of movement between hexes relative to an observer's reference frame (in which he is stationary) we realise that either our definition of coordinate and proper times must change, or the rules of Relativity of Time in Erfworld are very different from the ones here. For one, relativity of time (and time dilation) arises directly from the assumption of a universal speed limit, c. No matter how fast we move, c-invariance dictates that the flow of time from our reference frame slow down to accommodate that speed limit. As we see here, we instead have time contraction: the flow of time speeds up (for you) as you move between hexes. Either there is a universal lower bound on velocity in any reference frame (which doesn't even make sense), or this is definitely not relativity as we know it.
Also, I don't see any references to length contraction (or, if the Lorentz factor is less than unity in this universe, length dilation). Weird.</geekfest>
Of course, gamelike mechanics would naturally dictate that units take the same amount of coordinate time to move the same number of hexes, regardless of their perceived velocity. But if spacetime is quantised in hexes…wait. Hold on. Um. I think I just succeeded in confusing myself. I should get myself into a drunken stupor sometime. Love the update, though!