Re: [Fis] Re: gravity and symmetry

Dear Pedro,
thank you very much for very interesting material. I'll try to show it to
my colleagues in Moscow also.
Best regards
Sergei Petoukhov

>From: "Pedro C. Mariju�n" <marijuan@posta.unizar.es>
>To: fis@listas.unizar.es
>Subject: Re: [Fis] Re: gravity and symmetry
>Date: Mon, 10 Mar 2003 12:21:30 +0100
>
>At 10.18 6/3/03 +0100, you wrote:
>>Dear Pedro and FIS colleagues,
>>I have not read Smolin's book, but you can find find similar issues and much
>>more in my preprint "How we count or is it possible that two times two is not
>>equal to four." You can read this preprint at the following address:
>>
>>http://www.mathpreprints.com/math/Preprints/
>>Sincerely,
>>Mark Burgin
>
>Dear Mark and FIS colleagues,
>
>Many thanks for the reference (I could finally locate the paper after some
>search in the site). The subject you treat looks quite relevant:
>'non-Diophantine' arithmetics', like the well-known non-Euclidean
>geometries. To the novice, it is amazing that the topic has transpired so
>little into general scientific circles. Counting and natural numbers, as
>you say, are taken as the last refuge of undiscussed mathematical 'truth'.
>
>You mention several cases in economics, and another physicist (Zeldovich),
>concurring on the idea that "fundamental problems of modern physics are
>dependent on our ways of counting" (I had already mentioned Penrose and
>Smolin, later on I have found in the web a very exciting paper by Smolin
>and Stuart Kauffman more or less close to the idea:
>http://www.edge.org/3rd_culture/smolin/smolin_p1.html). But in any case, I
>think it is in the biology of the cell where the best cases of non-regular
>arithmetics can be found. When cells 'count' through their receptors, or
>better throughout their signaling systems, the non-Diophantine arithmetics
>appears to be the general rule. For instance, a very recent paper in
>Nature on toxicology addresses this very issue: (Calabrese and Baldwin,
>2003, Nature 421, 691-2) rather than lineal responses with or without
>thresholds, an 'hormetic model' is followed in most, most cases (like an
>U-shaped curve, but very asymmetric). Apart from my tentative application
>of Karl�s partitions to signaling systems, that I think is meaningful,
>your new arithmetics could also work there...
>
>all the best
>
>Pedro
>
>
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Received on Tue Mar 11 10:39:37 2003