| Subject: The Djin in scale-relativity
Date: Sat, 12 Jul 2003 16:48:06 +0300 From: Dimi Chakalov <dchakalov@surfeu.at> To: Laurent Nottale <laurent.nottale@obspm.fr> CC: Matthew Watkins <mwatkins@maths.ex.ac.uk>, Volkmar <Volkmar-Weiss@t-online.de>, Alex <agranik1@attbi.com>, Carlos <czarlosromanov@yahoo.com>, Michel <planat@lpmo.edu>, philippefr@aol.com, c.duermeijer@elsevier.nl, e.moojen@elsevier.com, barbosa@if.ufrgs.br Dear Professor Nottale, Regarding my preceding email of Thu, 10 Jul 2003 05:36:12 +0300 (printed below): I downloaded your latest article "Scale-Relativistic Cosmology" (June 17, 2003), published in Chaos, Solitons and Fractals 16, 539 (2003), from your web site at http://www.daec.obspm.fr/users/nottale I'm highly interested in your idea of the "fifth extra dimension or "djinn" that plays for scale transformations of resolutions the same role as played by time for motion laws. One should however be cautious with the fact that this fifth dimension is not combined with the four standard classical space-time dimensions." Your suggestion: "Therefore the Universe starts asymptotically from the Planck scale." I love that! I really do. Your Djin may be the global mode of spacetime. Please see the dual "age" of the universe at http://members.aon.at/chakalov/faq.html http://members.aon.at/chakalov/Schwarz.html#note http://members.aon.at/chakalov/Zurek.html#note In FRACTAL SPACE-TIME AND MICROPHYSICS, Towards a Theory of Scale Relativity, (World Scientific, Singapore, 1993), http://www.daec.obspm.fr/users/nottale/ukliwo12.htm Sec. 2.4, "On the Nature of Quantum Space-Time", you wrote: "The important point to be understood by the reader, since it underlies our whole methods and results, is that we call for a profound change of mentality in the physical approach to the problem of scales. One must give up the "reductionist" view of perfect points whose small scale organization would give rise to the large scale one. One must even go beyond the view of a physics where several particular scales are relevant. We claim that a genuine physics of scale can be constructed only in a frame of thought where all scales in Nature would be simultaneously considered, i.e., when placing ourselves in a continuum of scales." I suggest two scales only, in the *local* mode of spacetime and in the *global* mode. If you wish to stay confined in the local mode, you inevitably get "fractals", p-adic numbers, etc., http://www.maths.ex.ac.uk/~mwatkins/zeta/p-adicsandadeles.htm http://www.maths.ex.ac.uk/~mwatkins/zeta/GUE-fibonacci.htm http://members.aon.at/chakalov/Palazzi.html In the global mode of spacetime, you have the whole universe as ONE entity. More at my web site. If you wish to review my CD ROM "Physics of Human Intention", please drop me a line. Regards, Dimi Chakalov
On Thu, 10 Jul 2003 05:36:12 +0300, Dimi Chakalov wrote:
======= Subject: Re: The Djin in scale-relativity Dear Laurent, Thank you for your kind reply of Tue, 15 Jul 2003 11:06:06 +0200. I believe we're doing maps only. Nobody knows how they relate to the real territory of Mother Nature. One way to test our maps is to see if they contain paradoxes, such as "Therefore the Universe starts asymptotically from the Planck scale", http://members.aon.at/chakalov/Nottale.html Do you see the catch? We always use some numerically finite (e.g., Planck scale) values which are physically unattainable "boundaries" of the physical world. The paradox is known since the time of Titus Lucretius Car, http://members.aon.at/chakalov/Magueijo.html See also Thompson lamp paradox, http://members.aon.at/chakalov/Zafiris.html#below My efforts to resolve the paradox of continuum are at http://members.aon.at/chakalov/Zeh.html#note http://members.aon.at/chakalov/Schwarz.html#note http://members.aon.at/chakalov/Gerlach.html I will be happy to work with you and your colleagues. Two weeks ago I sent two copies of my CD ROM to Dr. Ezio M. Insinna and to Professor Marc-Willians Debono, http://membres.lycos.fr/groupepsa/announcement.htm If you wish to receive the disk, please drop me a line. Best regards, Dimi
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