Re: The Rapidly-Accelerating Computer

From: Saibal Mitra <smitra.domain.name.hidden>
Date: Fri, 13 Oct 2000 14:55:00 +0200

Wei Dai wrote:


> On Thu, Sep 14, 2000 at 01:13:35PM -0400, GSLevy.domain.name.hidden wrote:
> > It may be impossible to construct such a machine in our universe, but
can we
> > achieve the same results by slowing down the consciousness of the
observer
> > observing a conventional computer? In other words, each observer's clock
> > cycle (assuming a computer model for the observer) would double in
duration
> > in relation to the computer clock. Could there be such an observer in
our
> > universe? I suspect that there can't be because the construction of the
> > observer's clock woud require smaller and smaller energy packets in the
> > presence of constant background noise.
>
> Even if a continually slowing observer (CSO) could exist, it's
> relationship to a normal computer would not be the same as that of a
> normal observer to a RAC. To a normal observer, there is some finite
> subjective time in the future when the RAC will have gone through an
> infinite number of clock cycles, but to the CSO there is no finite
> subjective for when a normal computer will have gone through an infinite
> number of clock cycles. This is obvious when you consider that any finite
> subjective time for the CSO is also a finite objective time.
>
>

But if as a function of objective time t the subjective time s(t) is such
that

 Lim t ---> Infinity s(t) = 1

then after a subjective time of 1 second an infinite amount of objective
time will have passed, unless you assume that the CSO can only exist at
times
 s(t) < 1 .


Saibal
Received on Fri Oct 13 2000 - 06:02:58 PDT