14.  Halved orbitals as a superposed chain


1. Sum of triplets read in the halved orbital chain:
Intervals in the 2x2-chain in preceding file 13 give the orbital numbers in the periodic system. Halved these numbers, 9 - 7 - 5 - 3 - 1, may be regarded as a superposed chain to steps in the most elementary chain 5-0: 5-4, 4-3, 3-2, 2-1, 1-0:

Fig 14-1: Halved orbital numbers 9-7-5-3-1 as superposed level:

   

975 + 531 = 1506 = mass of 24 ams R, +2.

Cf. 975/531 x 103 = 1836,158 ~ mass quotient proton/electron (p/e)


2. Classes of tRNA synthetases:

We may note here that the triplets 975 and 531 approximate sums of ams in the two classes I and II of tRNAs - if the different codons for Arg, Leu, Ile and Ser with two codons don't split their affiliation:
    Class I: Leu, Ile, Met, Cys, Val,
       Glu, Gln Arg, Tyr, Trp: Sum 975 +2 (with 2 sets of Leu, Ile, Arg)
    Class II: Pro, Ala, Gly, Ser, Thr,
       His, Lys, Asp, Asn, Phe. Sum 531 -4 with two Ser


3. Wavy, horizontal reading:

The two-level chain in figure 14-1 above may be regarded as a kind of "wave function". and a first observation is that the square root out of 6-figure numbers, from lower 5 to upper 5 in the middle, outwards and inwards, gives the sums of ams in the 12-groups 770 and 734, -/+1, total 1504 of 24 ams:

Fig 14-2: Square roots out of 6-figure numbers:

Note that 734 -1 is derived from the middle of the chain where we had this 734-group of ams in the ES-chain 2(208 + 159).

Next step from lower 4 to upper 3 gives the sum of 20 ams (R) = 1258 without the four double-coded ones and these divided in Z and N -/+1 outwards - inwards 688 and 570, also numbers for G1 + A1 and C2 + U2 among the 24 ams. See big figure here.


4. Vertical readings in halved orbitals. - An illustration of fusion processes:

Another way of reading in the chain is downwards, adding numbers 95+94, 94 + 74, 74 + 73 etc. as in figure 14-3 below. This gives sums that may be called "A-Z"--numbers of first elements in K- and L-shells, 16O, 14N, 12C etc.

Fig 14-3: "A-Z"-numbers of elements - an illustration to fusion processes:

The figure could illustrate fusion:
- the right part first elementary steps from H and Deuterium via Tritium and 3He2 to 4He2, then e. g. to 6Li3 to 2 alpha 8-4;
- the left part illustrating the carbon-nitrogen cycle in the sun, O 16-8, N 14-7 C, 12-6, intermediate steps neglected here. (Isotop 10 of Boron, 5 Z, in the middle.) Interpretation of first and last step, see the figure.

The close, inner relations C-N-O in the fusion of the sun could be regarded as "outsourced" to a planet and translated to external relations on the higher molecular level, forming the bases and amino acids and the situation when their B-chains bind to each other in the protein synthesis;.[- O=CO- → ← +H2NH -].

Comparison with numbers in the ES-chain:

Sums of numbers from 168:

168 147 126 105         84 63 42 21
       544 + 2                   208 +2
                                                         The role of Boron?

2 times numbers 147 - 126 - 105 gives sums near the first three numbers in the ES-chain: 

2 x 189 = 378 (½ x 752 + 2, 2 x 168 = 336 = 544 - 208 or here 546 - 210.

2 x 147 = 294 ~ 5’ +2, 2 x 126 = 252 ~ 4’; 2 x 105 = 210 ~ 3’ +2.

189 –1 = 1/4 x (292 + 252 + 208) = 1/4  x 752
168 = 1/2 x 336 (544 – 208)
147 –1 = 1/2 x 292
126 = 1/2 x 252 - steps 4-3-2 here ~ 5 – 4 - 3 in the exponent series
105 - 1 = 1/2 x 208
84 = 292 – 208, etc.

Nitrogen - Carbon:
"A-Z"-numbers of C and N, characterizing both codon bases and ams, gives the sum

   273, the mean value of two ams unbound.
   12 x 273 = 3276, total sum R + B

3276 is also "A-Z"-number of C, 126, x 26 (= 18 + 8 in the 2x2-chain).
First six "A-Z"-numbers, including 84, give the sum 819, times 4 = 3276.

Sum of left part: 189 + 168 + 147 + 126 = 630, to compare with mean value of side chains of an ams,  nearly 63.

There is the relation too that four last numbers, 84-63-42-21, regarded as debranched from higher steps and representing 4, 3, 2, 1 steps à 21, raised with exponent 3/2 give the sum = 1638, 2 x 819 and half of total sum of unbound ams.

843/2770;  633/2 500;  423/2 272;  213/2 96. Sum = 1638.


5. The p/e-quotient, π-mesons and μ-leptons:
In figure 42 above we had the halved orbital numbers 9-7-5-3-1 as a superposed chain to the elementary one. Quotient between this chain as two triplets gives the p/e-relation, inverted about the same 544-number as above:

975 / 531 x 103 = 1836,158 ≈ mass quotient p/e . *
531 / 975 x 103 = 544,6. x 10-3; [~ (2/3)3/2 = 544.33.]

*(About middle figure 5 as last and first number in the two triplets we should perhaps remember that the inner electron is said to sometimes exist inside the nucleus of an atom.)

Wavy reading of 2-figure numbers in figure 14-4 below, 59 + 94 + 47 + 73 in two steps, gives sum 273, ~ the quotient π +-meson / electron as parts of the proton. π-mesons appear at disintegration of protons in p-anti-p-annihilations. Next two steps 47 + 73 + 35 + 52 give 207, ~ the μ-lepton in e-units, released in the further disintegration of π-mesons.
   2 times these numbers = 544 + 2, 416 - 2, with reference to the ES-series.

Fig 14-4: 273 and 207 from addition of 2-figure-numbers in the two-level chain:

2 x 273         = 546 = G + C, +2
2(273 + 207) = 960
= U + A

It was noted before that 273 is the mean value of two unbound ams (and sum of what here was called "A-Z"-numbers of N- and C-atoms 14-7 and 12-6).
   The correspondence with numbers for charged π-mesons and μ-leptons, the same quotients on levels of different units (e- versus u), invites the not unreasonable view on amino acids and proteins as having a corresponding role in the very superposed unit of a cell as these elementary quanta in the nucleus of an atom.


6. Reading 2-figure numbers in the superposed chain:
A two-way directed reading of such numbers can give the 4 codon type groups of ams, Cross- and Form-coded, Pair- and RNA-coded, as shown in the file here.

*

To The triplet series x1 and the x4 series.

 

© Åsa Wohlin
Individual research
E-mail: a.wohlin@u5d.net


 

Links and Notes

Table 24 amino acids (ams)
R-chsins, A, Z, N

Abbreviations
- ways of writing -

Background model

Files here:

0. Amino acids and codon bases.
Why this coding system?





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