```X-Message-Number: 18477
From:  var s1 = "Azt28"; var s2 = "aol.com"; var s3 = s1 + "@" + s2; document.write("<a href='mailto:" + s3 + "'>" + s3 + "</a>");
Date: Sun, 3 Feb 2002 12:08:45 EST
Subject: Re: Simulation

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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.

>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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