Is the rule of Karma part of materialistic world or not?

As per title. To be more specific: The rule, or the working way of Karma - is it part of the world and thus uniquely determined within the formation of our world? Or is the working way of Karma some superior rule higher than the formation of our world, that all worlds (we know Buddhism believe there are many parallel worlds in time and space) follow a same set of Karma rule? Take as an example, SA 527 , which says: > a novice monk stole monk's 7 fruits, so he was punished by Karma, that he fell into hell for many lives, and even if he reincarnate into a human after these sufferings, hot iron bullets will penetrate his body from time to time Is such karmaphala penalty for stealing monk's fruits (i.e. falling into hell and later becoming a human penetrated by bullets), - (a) the same or similar across all worlds, or - (b) unique of our world, or - (c) unique only to Sakyamuni Buddha's era in our world? There is a similar question but not well-answered either. ------------------- Note this question is not "is Karma part of materialistic world". Karma itself is obviously bound with sentients in this world, but I want to know whether the rule of Karma also bound to us.