In a message dated 09/07/1999 4:40:50 AM Eastern Daylight Time, firstname.lastname@example.org writes:
> There aren’t, of course, any constraints on the kind
> of universe we can imagine, but infinite processing speed is pretty far out
> there. For instance, you could solve the halting problem with an
> computer: Simulate a Turing machine, feed it the query program, and if it
> t halt instantly then it never will. This makes all kinds of peculiar
> possible, like deriving ‘perfect’ concepts from data – that is finding the
> computational, productive pattern ideally matching a data set, at once
> minimizing over specialization and over generalization, a feat which is
> impossible (non-heuristically) in our universe.
Tachyons, man we got tachyons and lots of them!
>The infinite speed requirement is avoidable: we could be getting one tick
>trillion, trillion real years and never be any the wiser. Infinite state is a
>equirement though, if the evolutionary chain is unbounded. As the size of the
>geometrically growing dataset being represented approaches infinity, the
>look up a piece of data becomes infinite. The total tree being simulated
>finite at every point in time, but God would have to be exponentially
What about trana-finite computation vis vis higher physical dimensions? Kind of like two recent books by Rudy Rucker (Saucer Wisdom) and Clifford Pickover (Surfing Hyperspace). Because one physical dimension overlays another, the distances between components and storage media is not an issue. Sphere packing made easy.