Bruno:
thanks for the info. Very educational (although I skip reading Christof's entire text).
From your excerpt: I have a "2nd question": how about "waves"? they must be made
of the same 'stuff' as the 'strings', maybe in a lesser number of dimensions.
And let me skip my retrograde series of going through (the) other concepts...
They are all deductions from the (as you put it) primitive material world view, and its closed model, called "physics". At the end of my 'skipped' series you may find 'numbers', I may wish to go further (but cannot?)
Regards
John M
----- Original Message -----
From: Bruno Marchal
To: everything-list.domain.name.hidden
Sent: Tuesday, March 20, 2007 10:25 AM
Subject: Re: String theory and Cellular Automata
You could be interested by a paper introducing String theory as a syntactical logical structure by the "other Schmidhuber" (Juergen's brother Christof):
Here:
http://arxiv.org/abs/hep-th/0011065
What are strings made of? The possibility is discussed that strings are purely mathematical objects, made of logical axioms. More precisely, proofs in simple logical calculi are represented by graphs that can be interpreted as the Feynman diagrams of certain large-N field theories. Each vertex represents an axiom. Strings arise, because these large-N theories are dual to string theories. These ``logical quantum field theories'' map theorems into the space of functions of two parameters: N and the coupling constant. Undecidable theorems might be related to nonperturbative field theory effects.
This is infinitely better than Wolfram pure classical CA approach which has no rules for distinguishing 1 and 3 person notion, and so miss the idea of internal emerging physical laws.
Le 14-mars-07, à 10:23, Mohsen Ravanbakhsh a écrit :
I'm thinking there's some kind of similarity between string theory and depicting the world as a big CA. In String theory we have some vibrating strings which have some kind of influence on each other and can for different matters and fields. CA can play such role of changing patterns and of course the influence is evident. Different rules in CA might correspond to various basic shapes of vibration in strings...
I don't know much about S.T. but the idea of such mapping seems very interesting.
--
Mohsen Ravanbakhsh.
http://iridia.ulb.ac.be/~marchal/
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Received on Tue Mar 20 2007 - 12:02:56 PDT