X-Message-Number: 18467
From: 
Date: Sat, 2 Feb 2002 12:02:50 EST
Subject: Re: Simulation

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From: Philip Rhoades <>:

>Does this still hold true if time/space has much more than four dimensions 
(super >strings etc)?
 
Short answer: Yes. Recently, there has been a set of theories where many 
dimensions are large, but outside gravitation, all known forces propagate 
only in  3 space dimensions and one time. For a 10 billions light-year 
extension, there is something as 10^61 Planck's units. So, in the most common 
eleven dimensional universe there would be: 10^(61x11)  = 10^671 eleven 
dimensional elementary hypercubes. In basic Super-Symetry, .all dimensions 
beyond the first four are rolled-up at Planck's scale, so they don't add more 
elementary cubes, on the other hand, each cube becomes very complex and needs 
more informations to be described.

Henri Kluytmans <> said:

>A quantum computer of 813 coupled qubits can only store a superposition ;of 
all 2^813 >possible combinations of 813 normal bits. And it can perform 
operations on all those >2^813 combinations in only one single operational 
step.

Yes, I agree.

>But it can not store or operate on 10^244 (~= 2^813) bits! The possible 
combinations of >that number of bits are 2^(10^244) !!! 

Please note: We have a 2^813  states, each is a 813 bits word.
 This define a four dimensional classical universe. There is no storage 
implied. After one computing round, everything is destroyed if there is no 
coupling to a more long lived quantum state.  In our world the simulation 
lives only a spilt second. It is only in its own internal simulated time that 
it live for then billions of years.

 What you write about, 2^(10^244), would define a simulation where each 
instant of each elementary domain would interact with each other. This is a 
world with time travel and multi stories: You can attach a full classical 
universe to each point at each instant, this is Everett's multi-world .

>Furthermore, does a Planck cube contain only 1 bit of information ?
 
Given the scale of  Planck's length, one bit per elementary unit seems 
sufficient: a cell is full or empty.If you move from classical space to super 
strings for example, then there is a lot of structures at or near Planck's 
scale and you need  more bits of information. My purpose was to illustrate 
the power of quantum computing on a basic universe simulation, not to explore 
the limits of Everett's multi-universes or advanced string world.

>>This illustrates the potential power of quantum computers and the 
>>effect of state superposition in quantum mechanics.

>Sorry, but this seems to be a huge misconception about the 
>potential power of quantum computers.
 
It seems we don't see the same universe :-) or at least we  don't assume the 
same basic components of the universe.
 
Yvan Bozzonetti.

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