"FORM AND SUBSTANCE" ("Le FOND et la FORME" i.e ESCHER) memories of a former conference by jean-claude perez on the mysteries of DNA and genomes ...

Now I propose to discuss on 

FORM and SUBSTANCE:

-in Arts and photos,

-then in Spheres and Geometry,

-then in GENETICS 
and the HUMAN GENOME !!!

these photos were realized by the french professional 

photograph and filmmaker FLORENT MARCIE

   http://fr.wikipedia.org/wiki/Florent_Marcie

a conference of JC PEREZ on DNA mystery background...

followed by a conference of jc perez on POINCARE fractal chaos background...

followed by a conference of... DNA on ... jc perez shadow background !!!!!

Now, more on

"FORM and SUBSTANCE"...

in HUMAN GENOME DNA...

and PLATONIC "MUSIC of the SPHERES...

http://en.wikipedia.org/wiki/Music_of_the_Spheres_(disambiguation)

http://www.musicofthespheres.org/

     
      In ( Perez J.-C. (2010). Codon populations in single-stranded whole human 
     genome       DNA are fractal and fine-tuned by the golden ratio 1.618. - 

      Interdisciplinary Sciences: Computational Life Sciences, 2: 1–13.

      http://www.ncbi.nlm.nih.gov/pubmed/20658335 , full text in:

      ( http://fr.scribd.com/doc/95641538/Codon-Populations-in-Single

      -stranded-Whole-Human-Genome-DNA-Are-Fractal-and-Fine-

      tuned-by-the-Golden-Ratio-1-618 ).  ),

      we showed that the population of the 64 codons of the whole human 
      genome,       when reorganizing the universal genetic table using the 
     successive transformed fractal “dragon curve”, self-organized codons 
     populations around 2 atttractors: 1 and (3-phi) / 2. When publishing 
     this paper, I, of course, been very interested in the presence of the golden 
     ratio phi in this rule seemed to be a real tuning of our genome.You 
     understand my surprise when I discovered that my paper and especially 
     the value 0.6909830056 is quoted in a web site dedicated 

      to the intimate structure of atoms, quarks or Higgs boson (Gielen, 2012)

       … (please visit http://quarks-divided.over-blog.fr/pages/Pi_e_Phi_and_

      1381976-7937512.html ).

      But let us now look at the value 

      VOLUME SPHERE = 4 × PI (R * 3) / 3 = 1.381944838 ... 

      We see that it is very close to 3-phi = 1.381966011. We deduce a 
      remarkable discovery: if the radius of a sphere is (3-phi) / 2 then the volume 
      of this sphere is 3-phi ... The error is only 0.0000211732501. Secondly, 
      we note also that 

      the SECTION of the SPHERE is PI×R*2 = 1.499977019 = 3/2. The error 

      is 0.000022981. Thirdly, we note that the surface of this 

      same sphere is 
      = SURFACE SPHERE = 4×PI×R*2 = 5.999908074 = 6 = 2x3 

       with an error = 6-5.999908074 = 0.000091926. Finally, the circumference 
       of the sphere is equal to 2 × PI × R = 4.341574268. Which is very close to 

      3 times the reverse of (3-phi) / 2, effectively: 6 ÷ (3-phi) = 

      4.341640786 then, the error is = 0.00006651754558.

      In conclusion: “A sphere of volume 3-phi has radius (3-phi / 2) 

      which is half the same volume”.

      Corollary: a sphere whose volume is equal to the diameter, 

      the section is 3/2, the circumference is 3 times the reverse of (3-phi) / 2 

      and the surface is equal to 6 has a radius = (3-phi) / 2.

      Finally, if the radius of a specific sphere is (3-phi)/2

      then:

      the diameter is 3-phi

      the circumference is 3 x ( 2/(3-phi)) ) 6 / (3-phi)

      the section is 3/2 = 6/4

      the surface is 6=2x3

      and the volume is … 3-phi

      Then to resume: 

                                               

	Sphere geometry						Human genome single stranded DNA
formula	(3-phi)/2	3-phi	6/(3-phi)	3/2=6/4	6	3-phi	(3-phi)/2	(3-phi)/2
error	0	0	0.000066517	0.000022981	0.000091926	0.000021173	¯0.000993038463	¯0.000908846295

     recall:

                                Sphere geometry
                                ==========                                                 
      geometry: radius     diameter circumf.   section     surface      volume
      formula:  (3-phi)/2  3-phi      6/(3-phi)  3/2=6/4   6              3-phi 
      error:      0             0           0.000066  0.000023 0.000092  0.000021            

                     Human genome single stranded DNA
                     ======================
      DNAkind   nucleotides     codons 
      formula:   (3-phi)/2        (3-phi)/2

      error:       ¯0.000993     ¯0.000909

      Figure: The (3-phi)/2 ratio in sphere geometry and human genome.

       We note particularly a kind of “NUMERICAL RESONANCE”: 
      effectively,  ALL ratios are related to the same 3 basic initial numbers: 
      2, 3, and phi.Yes (3-phi) / 2 looks good on a universal value! Here are 
      the proportions of codons and nucleotides populations within the whole 
      single stranded human genome DNA !!!

      YES!!!! (3-Phi) / 2 is probably a major 

      UNIVERSAL VALUE...

      First I recall you that DNA is constitued by the 4 nucleotides T C A 
      and G...

      Finally, I could say you this confidence:

      In the human genome I could demonstrate that the unique coding 
      nucleotide is 
      the "G" base... of the double strand of DNA...

      Then the C or G bases of the single stranded DNA...

      C and G are the...FORM...

        but,

         What about T and A ?

         They play the same rôle that 
         "the white of the paper sheet" 
         or "silence to music"...
      
         T and A are the... SUBSTANCE...

      Then in the whole single stranded DNA, the ratio between C+G and 
      T+A is... 
      (3-Phi)/2...

      Here is the discovered and fabulous ratio between FORM and 
     SUBSTANCE... 
      between C+G and T+A in the billion codon of our whole human 
     genome... 
      or in the 3 billion TCAG nucleotides of this same human genome...

      Like in this magic SPHERE of 3-Phi Diameter and volume !!!!!!!!!!!!!!