__1. Transformations of the codon-bases to the 12-groups of ams:__
**1.1 **All geometrical dimensions should naturally be regarded as present
in the cell simultaneously, on different levels, and interdependent
through transformations into one another. One simple example is
the geometries of proteins, forming linear threads (~ D1), sheets
(~ D2) and globular forms (~ D3).
The thought that different d-degrees could be associated with different
number base systems (nb-x), as nb-10, nb-8, nb-6 for x = 5, 4, 3,
led to a first test on mass of codon bases with remarkable results,
figure 17-1 below. Further investigation showed also several connections
with the ES-series. (Nb-x in text below often written as "-index
figure in red. Figures in nb-8 and nb-6 are often rewritten with
figures from nb-10.)
*Fig 17-1:* From
mass of codon bases to the two 12-groups of ams:
Hence, 4 sets of the 4 bases give the total sum of 24 unbound
ams.
We find also that 2 x G+C-bases in nb-8 as 768 gives total sum
3276 in nb-6:
__nb-10__ __nb-6__
768 —> **3276** 24 ams R + B,
unbound (rewritten from 3320)
The sum of the 4 bases in nb-8 = 752 -/+1:
__nb-10__ __nb-6__
752 —> **2848** 24 ams
R + B. bound (rewritten from 3050)
*Fig 17-2.* From 752
as sum of ES-numbers 5', 4' and 3' to 2848 in nb-6:
**2848 = 24 ams R + B bound**
** **
1.2 Some general annotations:
However strange the idea surely may seem for scientific
"common sense", the many
astonishing results here and below are rather difficult to dismiss
as only haphazard. If they are not, if they reveal some connections
on deep energy levels, they should represent one kind of references,
one kind of guiding operators for potential growth - or just what
is sometimes in the biochemical field is referred to as "affinities"?
All derived numbers shall naturally be regarded
as nb-10-numbers, hence transformations as nb-10 →>
nb-8 may be repeated, illustrated for instance in the carbon-nitrogen
cycle in the sun, from ^{12}C to ^{14}N to ^{16}O,
intermediate steps showing one way to perform such transformations.
It follows that all operations as multiplications are performed
in nb-10. Indexes for x in nb-x are often used below to shorten
the text. As mentioned above numbers in nb-8 and nb-6 are often
rewritten with figures from nb-10.
A question is of course if such rewritings could
be expressed in biochemical processes as for instance 20 equivalent
with (~) 18 in nb-8 as -2H or 120 in nb-6 ~ 76 as - 44 (CO2)?
Another question is how to interpret nb-16 in many examples below
If keeping to the thought of x in nb-x as first three numbers in
the elementary chain 5' →>
4' →>3' doubled, should
nb-16 be regarded as 2 x 4 doubled or 2(5 + 3) doubled?
*Fig Ti-1*
A general feature may be noted: transformation of sums or whole units give larger numbers in lower nb-systems than their parts transformed and summed afterwards.
**1.3 Halves of the 12-groups 770 and 734, -/+1 = 384 and 368:**
**Fatty acids***,* a first annotation here:
Cell membranes are
an equally essential part of life as the genetic code. Two of
the most common fatty acids give transformed to nb-6 three times
these numbers 367 and 385, +/-1, a relation to R-chains of the
24 ams = 3/2 and simultaneously a relation d-degree 3 to 4(nb-6
to nb-8) with the assumed view above.
C16H32O2:
256-**10****
→** 1104-6
= **3 x 368**
C18H36O2:
284-**10**** ** **→**
1152**-6** = **3 x 384**, (Note:
1152 = 752 rewritten)
Cf. the hexagonal pattern in **Table
0 here**: fatty acids as a third way to read such a pattern.
From the numbers **384** and **368** in nb-10 transformed
in two steps to nb-8 we get 2 sets of bases G and A in nb-8, as
in opposite direction to the figure above and without C and U:
384 x **½** = 192**-10**
**→ **300**-8**
**/** 300-**10** **→**
454**-8** = 2 x 227 = 2 G**-8**
368 x **½** = 184**-10**
**→** 268**-8
/ **268-**10** **→**
414**-8** = 2 x 207 = 2 A**-8**
**1.4 . Bases →
totals:**
**1.4.1 Four times G+U and A+C to ~ B- and R-chains of total 3276:**
Sums of R+B-chains together in **nb-10**:
G1 + U1 = C2 + A2 = **1468**
C1 + A1 = G2 + U2 = **1808**... Sums of coded
amino acids (R + B)
With exchanged partners these sums are given from 4 times the bases:
*Fig.* **17-3**
In nb-10 we have groups of ams paired in keto-/amino types:
Here G- and A-bases have exchanged partners and bases A and U must
be multiplied with 4 after transformation.
*Fig. 17-4 *
Rewriting 640 to 638 and 828 to 830 gives the right sums B 1772 and R 1504.
**1.4.2 Two sets of bases from ES-numbers 5', 4' and 3':**
Fig. 17-5
Number 416 (2 x 3', 208) is the one which added to 544 gives the
A-U-group of ams. Cf. that U-base gets replaced by T-base in DNA,
a CH2-group added for inward direction to DNA. (It could perhaps
be compared with the interpretation of nb-16 as 2 x (3' + 5'), a
step backwards from 3' to 5', equivalent with inwards?
__2. The bases in the ES-chain:__
*Fig. 17-6*
U 160 + C 157 in nb-8 approximate number 2' = 159 in the ES-series,
together 317.
In nb-10 number 385 is the interval 544 to 159. Here G-8
becomes the same interval to both bases U**-8
+ C-8**. Cf. that G-base can bind
to both:
*Fig 17-7*: The bases
in nb-8 in the ES-chain:
These relations could be a reason why G+C-bases get connected with
the 12-group 770 of ams in spite of all bases equally represented
in this group.
** **__3. 5 times ES-numbers:__
3.1 The transformations between nb-10 and
nb-8 of main codon groups of ams and 5 times the ES-chain
numbers 5' - 4' - 3' are among the most astonishing:
*Fig 17-8:* Main
codon groups of ams from 5 times ES-numbers:
816 and 688 is the division of **R**-chains of
total sum 1504 of 24 ams, a division between purine and pyrimidine
codon groups, As a division in step 5 - 4 here it precedes the one
between complementary pairs G-C and U-A, which are attained from
the secondary division of 544 in 336 and 208, a division in step
4 - 3.
Note also about 1344, the 24 B-chains bound, included
in sum 2848:
**1344** in nb-10 = 2500 in nb-8
= ES-numbers**
5(292 + 208)**
These relations seem to support the relevance of both the ES-chain
and the thought that nb-transformations could be part of the reference
system.
*Fig 17-9** * 5 x half of 752, number 688 as an interval:
There is also the feature that divisions stepwise as polarizations
of numbers 816 in U1 + C1, separately transformed to nb-8 give 1260,
next lower level, and this back to nb-10 and divided G1 and A1 gives
1040 in nb-8:
*Fig 17-10.* Stepwise
polarization giving next number x5 in Es-chain:
**3.2 About the interval 84** = 292 →>
208 in the ES-chain we have that n x 84 (n = 1, 2, 4) times 10 (1040 ~ 840, 1680
and 3360) in nb-8 gives the groups 544, 960 and 1776 in nb-10:.
*Fig 17-11*. n x interval
84:
**3.3 5 times intervals in the exponent series in nb-8 give ams-groups
-/+1:**
*Fig. 17-12* 5 x interval in the ES-chain:
**3.4 Nb-6: 5 times the ES-numbers 5', 4' 3' in nb-6:**
It gives the sum of U- plus
A-coded ams R and also all C-atoms in R-chains in nb-10, divided on
G1 + A1 = 396 and U1 + C1 = 564:
*Fig**..***17-13** 5 times ES-numbers in nb-6 to 396-564.
:
**3.5 **The parts above of 960 in nb-16 gives the total mass of bound ams in nb-8:
*Fig* **17-14**
**3.6** The numbers U1 + C1 = 816 and G1+ A1 = 688 read in nb-8 rewritten, give in two steps total 24 ams, R + B inbound in nb-8:
__nb-8__
816 ~ 1016
688 ~ 710 ... Sum 1726-8.**/** 1726-10 → **3276**-8
__4__**. **__Generation of the two 12-groups of ams with mixed and non-mixed codons: __
**4.1 ** **Generative production of sums within 12-groups of ams:**
*17-15a.* The ES-chain, numbers 177 and 208:
Cf Table 2,3 in file__ 0__2.
Numbers 770 and 734 generated from 177 and 208:
- From **177** we get 385 in two steps nb-10 to nb-8:
- From 208 we get 734 in three such steps:
*Fig. 17-15b*
* 318 = 2 z 2', 159, from there only two steps:
*Fig 17-15c:*
**In group 734 U+A-coded ams =** **575**, a number
given through two steps nb-10 to nb-8, either as sum of 500 + Meth
75 or from 208 + interval 49: Meth that starts the protein synthesis
are attained from the middle interval in the ES-chain:
*Fig 17-15-d:*
Note too that Meth leaves its outer CH3-goup
at start of synthesis, (= -15 +1), which gives R-chain = 61, the
intermediate number in the figure above.
575 directly from 208 + 49 = 257 in only two steps:
**Fig 17-15e: **
**Number 75**, R-chain of Meth:
In the ES-chain in nb-10 the number 75 = interval 292 - 367 (the
sum in the middle of the chain). Transformed in two steps nb-10 to
nb-8 it gives the number 159:
**75** → 113 →
**159 **(161 rewritten)
** 4.2 A- and T-bases give the sum 575 of ams with non-mixed codons:**
Starting numbers 177 and 208 in transformations, minus 1 in each,
are the __T__- and A-bases in nb-8. With DNA-base T we get the
sum **575** in two steps nb-10→>8: *(Cf. file 02.) *
**Fig. 17-16: **A+T
How explain the T-base here, a DNA-base giving A in RNA?
**4.3 770-group from 4':**
It can be added that 2 x 252 (= 4' in the ES-chain) in nb-10 leads
directly to 770 in nb-8:
2 x 4' (252) = **504**-**10**
→**770-8**
**4.4 Parts of 12-group 770 from halved ES-chain:**
The division of group 770 in Cross- and Form-coded ams, **418** and **352**, may be derived by dividing the whole
ES-chain in step 4'-3' and halving these numbers:
**Fig 17-17:** From halved ES-parts to mixed codon groups
** 4.5 Derivation of N- and Z-numbers within the two 12-groups of ams:**
*Fig. 17-18:*
*
To **Totals
and other notable things**. |