The Genetic Code - 17 short files Mathematical patterns in assignment of codons to amino acids

12.  "Quark numbers"

- a new invention, all rights reserved ! -


1.
   The charge unit in physics is supposed to be distributed on thirds in the so called "quarks", one anti-quark (-1/3) and two quarks (2 x +2/3) in protons.

A similar, simplified principle is here applied to numbers as mass units: a number (as mass units u) attracting two anti-numbers (mirrored ones; opposite direction) in a kind of "quark-anti-quark-relation". The addition of these then divided by three (3), giving a new number which in its turn can attract two new anti-numbers as "quarks" etc.
Formula for generating more and more complex "quarks":    
One-figure numbers become their own anti-quarks, generates only themselves again.
   So to0 "mirror numbers" as e.g. 101.

Other numbers lead to chains of numbers - and after a certain amount of steps back to some earlier number in the chain, i. e. lead into a loop. - or to an one figure number (we could call it a "point loop").

The number in the loop which directly leads to the first starting number is named "loop number". For instance, number 36 is the "loop number" for number 54:
   
     [36 + 2 x 63] / 3 = 54.


1. NADP generating the sum of amino acids:

Starting with 744 = NADP, mass number A:

744 + 2 x 447, x 1/3 = 546 = 1/6 x 3276, + 2 x 645, x 1/3
= 612, (= 1/3 x 1836, ~ the quotient p/e), + 2 x 216, x 1/3 etc.,
gives the number chain:


2. The steps in a dimension chain as numbers 54 - 43 - 32 etc. developed
    in such quark loops:

    One example: 54 gives the chain :

In the figure below the numbers for dimension degree steps are encircled,
the "loop numbers" written above//below in squares.


We get the total sum of 24 amino acids, 3276, as products of the loop numbers in steps 5→4, and 4→3 and inwards: 4→5, 3→4. (Cf. L-D-forms of ams?)

Note the "point loop numbers" in steps 1→0 and 0→1: 4 and 7, reminding of the 11 dimensions of the String theory: 4 said to be developed outwards, 7 "undeveloped", surely meaning inwards.

36 = 4 x 9 7 x 9 = 63
91 = 7 x 13 4 x 13 = 52

Footnotes:

a) Step 32 leads to a point loop 8, if we don't read 08, + 2 x 80, x 1/3 = 32.
Step 21 is the only step which doesn't lead back to itself, nor to a point loop but back to an earlier stage in its own chain. We have to read 03 to get 21 as a "quark".

b) In all step numbers 54, 45, 34 and 32, 23 (but not 43) partial sums of
quark + 2 anti-quarks give partial sums of the type 612, 918 1224,
i. e. 1/3, 1/2 or 2/3 of 1836, the approximated p/e quotient.


3.  Amino acids grouped according to the 3rd base:

     R-chains, mass numbers:

     3rd base grouping:
    A/G (or A,G) coded ams:     638, + 2 aq (2 x 836) = 2310
    U/C-coded:ams                     531, + 2 aq (2 x 135) =   801
    "2-base-coded" ams:            335, + 2 aq (2 x 533) = 1401... = 3 x 1504

    2310 =                        3 x 770 = 3 x Cross-plus Form-coded ams
      801 = 3 x 267
                            > =      3 x 734 = 3 x RNA- plus Pair-coded ams
   1401 =  3 x 467                                                      2 (3 x 367 -/+ 100)

Cf. page about 3rd base grouping.


4. "Quark"-chains and 2-figure readings in the dimension chain,
    - a comparison:

   Numbers on superposed level;
   Quark 79 gives the number 273, as q + 2 aq. (Cf. the π-meson, π/e-quotient)
   quark  57 gives the number 207. (Cf. the μ-lepton.)

      (The aq 97 = HPO3. 75 = Meth, R-chain.)

  273 also the mean value of two amino acids unbound, R+B.

   Quark 147 is given from number 73:   Glu, R, = 73, R+B = 147:

   Cf. Glu, from α-ketoglutarate, ammoniating amino acids,
   and compare "A-Z"-numbers and the atom N.

*

 

© Åsa Wohlin:
Free to distribute if the source is mentioned.
Texts are mostly extractions from a booklet series, made publicly available in year 2000.


 

Links and Notes

To the background model

 

Table 24 ams A, Z, N

Abbreviations
- ways of writing -

List on 17 short files

The 17 files
as one document, pdf

 

 

Latest updated
2017-01-16

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