Bruno wrote: ----- Oorspronkelijk bericht ----- Van: "Marchal" <[EMAIL PROTECTED]> Aan: <[EMAIL PROTECTED]> Verzonden: woensdag 29 maart 2000 11:40 Onderwerp: Re: Measure of the prisoner

> >Suppose that the simulated prisoner is a ``digital ´´ copy of a real > Saibal Mitra wrote: > > >[...] If the simulated time also corresponds exactly to real time then > >the probability of the prisoner finding himself in the simulated world is > >almost exactly 1/2. > > Why ? > Even if the simulated time does not correspond to the real time the > probability of the prisoner finding himself in the simulated world is 1/2. > > Unless you solve Jacques Mallah's desperate implementation problem > (see the archive or Mallah's URL) you will not be able to use "time" > to define the measure on the prisoner's experiences. > >From the point of view of the > prisonner, if COMP is correct, he cannot make any difference > between real or un-real-time. Time (like > space) is a construction of the observer's mind and is defined only in a > relative way. What you need to do is to defined a notion of first person > (or subjective) time *from* the measure on the possible computationnal > continuation of the prisoner's mind. > Note also that there is no "real" time in any many-world view of > relativistic quantum mechanics (even without COMP). > > With COMP (which you are using here) there is no real time nor is there > any need for such a thing. > > More on this in the archive at > http://www.escribe.com/science/theory/m1726.html > > Bruno > I now think Bruno is right. The measure doesn't depend on t'/t. But, in any case, consistency with other thougth experiments (e.g. simulations within a simulation with another relative time-dilatation factor t''/t') limits how the ratio of the measures can behave as a function of t'/t : m2/m1 = (t'/t) ^ x (m2 is the measure of the simulated prisoner m1 that of the real prisoner, and it takes t seconds to simulate t' seconds of the life of the prisoner). A nonzero value for x can still arise in certain cases. E.g. if one simulates one day of the life of the prisoner with periodic boundary conditions, one has x = 1. To see this, suppose the prisoner is simulated on two different computers, one with t'/t = 1 and the other with t'/t = 1/2. Only one day of the life of the prisoner is simulated. After a simulated time of 24 hours the simulation starts all over again. Then clearly in a time interval of 2 T days, the life of the prisoner is simulated 2 T times on the fast computer and T times on the slow computer. Saibal