[FoRK] This read like a post here...
J. Andrew Rogers
andrew at ceruleansystems.com
Sat Jul 31 10:44:48 PDT 2010
On Jul 31, 2010, at 12:01 AM, Lucas Gonze wrote:
> On Friday, July 30, 2010, J. Andrew Rogers <andrew at ceruleansystems.com> wrote:
>>
>> If the amount of information within a region of a universe is finite, it would limit such recursion generally.
>>
>
> Is that possible? Isn't there always information flowing in and out?
As far as I know, it is generally assumed (with ample evidence to suggest) that the number of bits per unit volume is finite in this universe.
>From that assumption, the Invariance Theorem forces you to work with fewer bits at each level of simulation recursion within a given volume. Consequently, each simulation level is computationally less expressive than the one above it because it is restricted to simpler algorithms.
At some point, recursion terminates because you run out of bits.
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