lost in the many worlds

1998-01-28 Thread Wei Dai
Suppose our universe is actually a wave function evolving in a computer in another universe acoording to the standard linear wave equations. If there is a way to send a signal to the administrator of this computer, how many bits of information would we need to send in order for him to be able to f

Re: continous universes

1998-01-28 Thread Hal Finney
Wei Dai, <[EMAIL PROTECTED]>, writes: > Schmidhuber's paper explicitly assumes that only discrete universes exist, > so that theories of computation can be applied. But this assumption may > not be necessary. Consider a TM which implements an algorithm for > numerically solving a fixed system of

Re: basic questions

1998-01-28 Thread Hal Finney
I am still confused about the mapping between TM output and a universe. A TM produces abstract output, a list of symbols. Do we need to also specify some kind of mapping between the output and the universe? Suppose we have a physical universe with some characteristics, and a TM which is offered

Re: lost in the many worlds

1998-01-28 Thread Wei Dai
On Wed, Jan 28, 1998 at 03:27:41PM -0800, Hal Finney wrote: > I think you're right that the amount of data would be very large. > You'd have to count the information content of each wave function collapse > since the creation of the universe. I now think that I was probably wrong about this, but

Re: continous universes

1998-01-28 Thread Mitchell Porter
Wei Dai said > On a different note, I'm trying to learn enough quantum mechanics to > figure out what a program for our universe might look like. Does anyone > have suggestions for a good quantum mechanics text book? P.C.W. Davies, _Quantum mechanics_ is OK. Eisberg and Resnick wrote a textbook

Re: many worlds interpretation

1998-01-28 Thread Mitchell Porter
Hal Finney said > Mitchell Porter, <[EMAIL PROTECTED]>, writes: > > The many-worlds interpretation of quantum mechanics seems to > > have been developed with extreme carelessness, as far as I can tell. > > > > Suppose the universe is a one-dimensional harmonic oscillator > > in an energy eigenst

Re: lost in the many worlds

1998-01-28 Thread Hal Finney
Wei Dai, <[EMAIL PROTECTED]>, writes: > Suppose our universe is actually a wave function evolving in a computer in > another universe acoording to the standard linear wave equations. If there > is a way to send a signal to the administrator of this computer, how many > bits of information would we