ideas-math-metarandom

later note: although i initially thought of this as "hyperrandom", a quick Google search indicates that the name hyperrandom is already in use for situations in which, given a "condition", the distribution is known, but the hyperdistribution (i.e. over conditions) is not known at all. "metarandom" seems to be unused mathematically, at least on google (there is http://piratesandrevolutionaries.blogspot.com/search/label/meta-random , but that seems to be a philosophical, not mathematical, usage), so i'll use that.

---

hyperrandom: randomness w/o thms (no law of large numbers) (mb with a completely unknown distribution?). if a person in another universe could affect quantum events, but only under the constraint that they still had to "look" random (experiments with quantum physics shows that the quantum probabilities 'look' random), then what free parameters would they have? they would have total freedom to send whatever they want (call this the "hyperrandom" information), but it would go through some (mb known (to the sender)) predetermined process that converts it to a random-looking sequence (you could call that process 'randomization' but that might be misleading -- maybe conformization or standardization or something like that). so we have theorems for how sequences of random numbers look (in the limit of long sequences), but there are no theorems at all binding the hyperrandom input stream (besides the tautologies, the theorems that apply to any sequence of numbers). in that sense, if you extract a hyperrandom sequence from a random one, it is more informative and hence more random, hence hyperrandom. in another sense, since the usual thms about (distributions of) random sequences dont bind it, it is less random and mb should be called 'prerandom'. or mb just metarandom. if the sender of the hyperrandom information knows how it will be conformized, they have some measure of control over the environment receiving the information, although maybe this control will be in the form of coincidences and such.

perhaps hyperrandom has something to do w/ hyperrandom parameters? perhaps not

perhaps hyperrandom has something to do with the concept of a person's core personality, extraced from episodes and 'contingent' semantic memory, ie their substance rather than accident. how do you define what it means for 'you' to be reincarnated in another world or time if you cannot bring along (most of?) your memories? you still have your 'instinctual drives', your 'personality'

---

Links: