X-Message-Number: 18477
Date: Sun, 3 Feb 2002 12:08:45 EST
Subject: Re: Simulation

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Answer to John deRivaz:
I said:

>> If there was some quantum computers in the simulated universe, each would
>> 813 multi-linearities to the computational space, not a problem as the
>> multi-linearity may expands up to the infinite.

Downloaded from John brain:

>I have wondered about quantum computers. As far as I understand you have one
>on your desktop and its processor chip shares space with a number of
>parallel universes, each of which contributes computational power. If there
>is also a PC and operator in the other universes, then presumably when it is
>doing your computation it is not doing his. Isn't he going to get pissed off
>with this? Or do all the operators in all the universes want the same
>computation done at the same time?

I think here is a missunderstanding: quantum multi-linearity has nothing to 
do with parallel universes or Evrett's multi-universe idea.Sorry to take that 
with a pinch of maths, but I don't see how to do othervise:
 In any space with n dimensions (for example n=3), a bounded domain (for 
example a cake volume) is limited by an n-1 dimensions boundary (the cake 
surface ).  This n-1 subspace is called an hypersurface and in differential 
geometry, its vector dual is a rank 0 differential form or 0-form. In a 
geometrical display, a 0-form is a point, in algebra it is a function. Assume 
a function maps a single variable x onto a variable y1 in the same space: y1 
= f(x).Now, the same function f could be applied to y1 to give y2 = f(y1) = 
f( f(x)). At the next step we have: y3 = f( f( f( x))) and so on. That 
russian doll structure of function inside function is what we write in 
another formalism as quantum multi-linearity. Here, y3 is a tri-linear 
quantum space for example. The limit of yi when i gets infinite is a fractal. 
In fact, any fractal structure is an infinite degenerate multilinearity of 
quantum space.
    All of that holds in the single, mono-linear original space with n 
dimensions and tell nothing about the potential multi-linearities of that 
space. There is one computer, one processor and one owner.
    When you start to ponder about quantum domain you find that there is 
plenty of room at bottom ( an idea from Richard P. Feynman) and it become 
nearly impossible to think of anything beyond euclidean 3-dimensional space.
    Yvan Bozzonetti.


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