more on SCRIBD... and in the book CODEX BIOGENESIS...


read the book on AMAZON here...

...a research starting then published 20 years ago...please, clic here...

October 2013: a new publication demonstrating why human genome is a WHOLE...

clic please on the peace symbol then access: ... AUTOUR DU LIVRE "CODEX BIOGENESIS"

mardi 13 août 2013

October 2013: the first proof that complete human genome codon triplets population DNA single strand is a WHOLE: the 3 genomic numbers discovery article

(special issue BIOMATHEMATICS)

The “3 Genomic Numbers” discovery:
How our genome single-stranded DNA sequence
 is “self-designed” as a numerical whole

Jean-claude Perez

All results presented in this article are REPRODUCIBLE by other researchers from the following basic information:

[3] International Human Genome Project Sequencing Centers
and Verified by NCBI and UCSC, “Human Genome Finalized
BUILD34. Build 34 Finished Human Genome
Assembly,” 2003.


Table 3 of the article pp 40.


The article is now available in OPEN ACCESS on line:

details access:


from SCIRP scientific research APPLIED MATHEMAICS website


The “3 Genomic Numbers” discovery:
How our genome single-stranded DNA sequence
 is “self-designed” as a numerical whole

Copyright © 2013 Jean-claude Perez. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
"The beginning (1) is the middle (2) of the whole (Phi)"  
Here is my interpretation of this famous sentence from Pythagoras[2]...
This article proves the existence of a hyper-precise global numerical meta-architecture unifying, structuring, binding and controlling the billion triplet codons comprising the sequence of single-stranded DNA of the entire human genome. Beyond the evolution and erratic mutations like transposons within the genome, it's as if the memory of a fossil genome with multiple symmetries persists. This recalls the "intermingling" of information characterizing the fractal universe of chaos theory. The result leads to a balanced and perfect tuning between the masses of the two strands of the huge DNA molecule that constitute our genome. We show here how codon populations forming the single-stranded DNA sequences can constitute a critical approach to the understanding of junk DNA function. Then, we suggest revisiting certain methods published in our 2009 book “Codex Biogenesis”. In fact, we demonstrate here how the universal genetic code table is a powerful analytical filter to characterize single-stranded DNA sequences constituting chromosomes and genomes. We can then show that any genomic DNA sequence is featured by three numbers, that characterize it and its 64 codon populations with correlations greater than 99%. The number "1" is common to all sequences, expressing the second law of Chargaff. The other 2 numbers are related to each specific DNA sequence case characterizing life species. For example, the entire human genome is characterized by three remarkable numbers 1, 2, and Phi = 1.618 the golden ratio. Associated with each of these three numbers, we can match three axes of symmetry, then "imagine" a kind of hyperspace formed by these codon populations. Then we revisit  the value (3-Phi) / 2 which is probably universal and common to both the scale of quarks and atomic levels, balancing and tuning the whole human genome codon population. Finally, we demonstrate a new kind of duality between “form and substance” overlapping the whole human genome : we will show that - simultaneously with the duality between genes and junk DNA - there is a second layer of embedded hidden structure overlapping all the DNA of the whole human genome, dividing it into a second type of duality information / redundancy involving golden ratio proportions.

Keywords : genetic code; codon populations; junk DNA; cancer genomics chromosomal translocations; genomes diversity; chromosomes diversity; whole human genome DNA sequence; “Phi” the golden ratio; Fibonacci numbers;  information theory;  symmetry; cellular automata; Chargaff’s  codon  level symmetry principle; fractal self-similarity; “e” Euler's number; “Pi”; form and substance; redundancy; encryption.

      This article publishing was supported by Professor Luc Montagnier, Fondation Mondiale Recherche et Prévention SIDA
                UNESCO 1, rue Miollis 75732 Paris Cedex 15 Web site:

[2]    “1”, ”2” and “Phi the golden ratio” are the 3 genomic numbers characterizing codon populations of the whole human genome.

Inline image 1

FULL TEXT other link (PDF):

published 4 october 2013 in open access by
10B access

lundi 8 avril 2013

"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 


-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

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



      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.
      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)
      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
      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


                                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 


      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...


         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... 

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

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