You just had a major logic failure. The game reality emerges from the ruleset, the campaign setting, the player's actions and the DM. Of which, the DM gets the final say. You allude to this in the DM can say no comment on the end, forgetting that the DM is not faced with a simple yes or no question. The DM is free to state how the black holes work or don't work, as he is with everything else in the campaign. Therefore, the DM can state that a character with infinite reach has been sucked into a black hole... and what is there at the other end. Which leads me nicely to..
"Likewise, with infinite actions, even if something has 20 times more HD than you (which is not possible),"
It *is* possible. To understand this, you have to be familiar (on some level) with Cantor and what his mathematics points out. The easiest way I can think of to explain is to talk about PI. We know PI is infinite, even the most powerful supercomputer will chug away forever writing its numbers out, using vast forests of paper, until (presumably) the world ran out of paper and it could go no further, but it still wouldn't have got to the 'end' of PI. PI is an infinity.
Now here's the clever part. Between the numbers of 3 and 4 is another infinity. The same supercomputer could try to calculate every number between 3 and 4 and just like with PI, would keep going on forever. In reality, it would probably run out of memory and decimal places before it ran out of trees for paper but you get the idea. That 'space' between the numbers 3 and 4 is an infinity because the amount of numbers is limited ONLY by the precision involved (i.e. how many decimal places you can write).
Now here's where it all gets weird. That infinity between 3 and 4 CONTAINS PI and therefore is a larger infinity than PI is. Weird huh. And all the numbers from 0 to infinity is an infinity of infinities, since each number has an infinite number of numbers between it and the next (0.1, 0.11, 0.111, 0.1111 .... ad infinitum).
So Cantor reveals to us that when we add two numbers together (e.g. 1+1) we are ALREADY adding infinities together!
Fast forward to our conversation. Your character with Inifinite HitDice finds himself in a universe where he ONLY has 1 IHD but there are actually 20 IHD levels (and beyond that, we call epic)... and has effectively been normalised once more.
;-)
"Likewise, with infinite actions, even if something has 20 times more HD than you (which is not possible),"
It *is* possible. To understand this, you have to be familiar (on some level) with Cantor and what his mathematics points out. The easiest way I can think of to explain is to talk about PI. We know PI is infinite, even the most powerful supercomputer will chug away forever writing its numbers out, using vast forests of paper, until (presumably) the world ran out of paper and it could go no further, but it still wouldn't have got to the 'end' of PI. PI is an infinity.
Now here's the clever part. Between the numbers of 3 and 4 is another infinity. The same supercomputer could try to calculate every number between 3 and 4 and just like with PI, would keep going on forever. In reality, it would probably run out of memory and decimal places before it ran out of trees for paper but you get the idea. That 'space' between the numbers 3 and 4 is an infinity because the amount of numbers is limited ONLY by the precision involved (i.e. how many decimal places you can write).
Now here's where it all gets weird. That infinity between 3 and 4 CONTAINS PI and therefore is a larger infinity than PI is. Weird huh. And all the numbers from 0 to infinity is an infinity of infinities, since each number has an infinite number of numbers between it and the next (0.1, 0.11, 0.111, 0.1111 .... ad infinitum).
So Cantor reveals to us that when we add two numbers together (e.g. 1+1) we are ALREADY adding infinities together!
Fast forward to our conversation. Your character with Inifinite HitDice finds himself in a universe where he ONLY has 1 IHD but there are actually 20 IHD levels (and beyond that, we call epic)... and has effectively been normalised once more.
;-)