Here's a proposal, the differnce is CHIM. When the one is 'killed/makes a mistake' then an entire Kalpa passes with that mistake intact, and when one chooses to 'awaken' it is the moment they failed in the last Kalpa, the enlightened one then makes said change, and then thusly it is the one change in that Kalpa -also I'd make the connection with 'Kalpa Leaping' and 'Chim' thusly being the same thing (or rather, one thing as part of the other). Meshes together nicely, no?

d/dx sin x = cos x
Integral sin x dx = -cos x + C

Ah, yes. I had initially thought that, then thought "nah, that's too simple." Well, to be honest, I forgot about the negative sign and the +c part. But, hey, general principle...