09 November, 2012
Simulated Universe, suffers same problem as God.
Assuming that we are in a simulation of the ancestry of beings in another Universe, the question of the finite evolution of the Universe that those beings inhabits still subjects them to what we know about how the Universe is constructed no?
Would they not also be constrained by the forces of nature to design and build their simulation (us) and therefor aren't they also embedded and constrained as well.
Now, let's assume that they are a top level lifeform, meaning they themselves were NOT created as part of another Universes creation event...can we explore (either rigorously or by logic) whether or not this assertion is probable??
Is it possible that they are a top level being and in fact what is the likelihood of top level beings being the creators of our Universe.
I think if we accept the previous hypothesis, that all beings the simulated and the simulators are constrained by the limits of a common physics then we must conclude that if the variation of universal parameters that is supposed for universes in a multiverse is true that there is an infinite number of universal configurations. Not just ones conducive to the running of our "simulation" if that is what we are, or our top level Universe (if that is what we are).
If there is indeed an infinity of Universes...then the subset of Universes which have the conditions necessary to emerge top level beings that would then create Universes is itself infinite but still a smaller Infinity than the whole of the multiverse. If there is an infinite number of multiverses then the percentage of them that are top level Universes is itself *also infinite* leaving it as a certainty that they are NOT simulations.
The question is then, what is the probability that we are a simulation versus a top level Universe given the above.
Again, since the number of Universes with top level beings is infinite and the probability of their creating simulations is finite...then the probability that we are simulation is lower than if we are a top level universe (simply because the number of simulations must necessarily be a subset of the number of top level Universes *even if* that number is infinite).
Note it is no longer important to inquisite further, the answer is in the last line above:
"the probability that we are simulation is lower than if we are a top level universe"
How much lower? Well, since we already assumed that the number of Universes with beings that could even create a simulation is an infinite subset of all possible universes) and we also accepted that the percentage of these that actually created simulations of their ancestry are also an infinite subset...then across all the multiverse...the probability than any selected Universe is spawned via simulation dwindles to zero (since it always remains an infinite subset of Universes which themselves are an infinite subset of all possible Universes...those with and without creative beings).
So by a limit argument I conclude that we are likely NOT a simulation (I used a similar limit argument to conclude that we are also likely not the result of any God a few years ago) it would seem to be true in both cases from this intuitive argument comparing relative infinities no need to go into more rigorous analysis...I could be wrong but I've yet encountered a valid counter argument. Thoughts?