**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 10^{3}
= 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, ^{16}O, ^{14}N, ^{12}C
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 ^{3}He2 to ^{4}He2,
then e. g. to ^{6}Li3 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 2x^{2-}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.

84^{3/2} ≈
__770__; 63^{3/2} ≈
__500__; 42^{3/2} ≈
__272__; 21^{3/2} ≈
__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 10^{3} = 1836,158
≈ mass quotient p**/**e
. *

**531 / 975** x 10^{3} = **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 x**^{1}
and the x^{4} series.