If you look at an event within a strongly delimited frame of reference then everything becomes structural relationships and every element is replaceable by a functionally exact copy - you could say that there is equivalence but not identity of indiscernibles. Something like this is also a condition of thought, and of mathematicisation. The set-up is then intrinsically Markovian, in that the events, no matter how much memory they carry in their complete description are, not path-dependent - ultimately it doesn't matter how they got there, only that they play their roles in a prescribed manner. If there is no frame, or only some kind of weak frame, then the event is what it is with reference to the totality. In that case every event is utterly unique, indiscernibles are identical, and every occurrence is path-dependent. Events don't need internalised memory, the path-dependence is carried by the totality. This is not amenable to thought, and attempts to think it will run into paradox. The question is, what kinds of weak framing are compatible with such a scheme? Perhaps you could define consciousness as that which can be resolved by thought; this would be the same as saying, less precisely, that there is something that if feels like to be it - and we understand just what work the term 'like' is doing in this definition. This might be a way of pointing to that larger something that consciousness is a reduction of. You might also note that in so far as consciousness strives for perfect identity, and necessarily fails, it is pointing to this larger 'thing' or 'thatness' beyond consciousness.