Re: [Fis] hierarchy of symmetries and physical consequences

Dear Michael, and Dear Fisers

Really, there is a difference in our understanding in the arrow of the
increase/decrease of symmetry.
However, there is no contradicition. The difference is in the reference
frame, in which we are actually speaking about symmetry. Namely: do we
remain in the domain of a single level or do we consider transitions
between upper/lower levels? Do we cross boundaries of open (sub)symstems?
Here I attach the slides of my paper delivered at the "International
Nonlinear Sciences Conference 2003" which took place on February 7th-9th,
2003 in Vienna, in the session on "Foundations of Self-Organisation".

Please, note my slide 15 and apply a concrete level for a local system.
Please, compare the red-framed boxes in this concluding slide with the
slides 7-8-9. It will be clear, that those apparent coincidences (slide 9)
should be placed in different rows in this more differentiated picture (15)
on our world and its symmetries.

Group theory is a suitable tool to describe symmetries within a level. Less
suitable to describe comparisions of symmetries appearing at different
levels. E.g., look at my slides 2-3. The triangles lost a few of their
symmetries at a higher level. At the same time there emerged new symmetries
at the higher level.

Regards,
Gyuri

P. S. Thanks, I downloaded your paper

Symmetry Festival 2003   http://www.conferences.hu/symmetry2003/
___________________________________________________________________
Gyorgy Darvas          [email protected];      [email protected]
                       http://www.mtakszi.iif.hu/darvas.htm
S Y M M E T R I O N   http://us.geocities.com/symmetrion/ [email protected]
Address: c/o MTA KSZI; 18 Nador  St.,  Budapest,  H-1051  Hungary
Mailing address:       P.O. Box  994,  Budapest,  H-1245  Hungary
Fax:  36 (1) 331-3161  Phone:   36 (1) 312-3022;  36 (1) 331-3975       ___________________________________________________________________

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