Virtual Global Balance

In our considerations below we deal with the free neutrally charged amino acid molecules. The second standard representation of the artifactural differences is an accurate superimposition of the decimal syntax onto equilibrated nucleon sums. The virtual global balance is illustrated in Fig. 6 (we use the attribute "virtual" because of the imaginary borrowing). Both global equilibria have the same block-to-chain type, but the ways of balancing are different. The previous balance means that all the chains together cannot counterbalance all the blocks as soon as the nucleon number of a single block exceeds 56. This takes place in the virtual global balance. Its free neutrally charged amino acid molecules have the 74-nucleon standard blocks. This means that the chains all over the code can counterbalance only a part of their blocks. The genetic code elegantly coped with both exact balancing and uniform labeling of balanceable parts through decimalism.

Fig. 6 The virtual global balance of the genetic code (shCherbak, 1999). There are the nucleon sum of an especially labeled part of the standard blocks and the nucleon sum of the side chains all over the code that draw up the balance. Pythagoras' image symbolizes balanced summations and decimalism. The alphabetized amino acids are gathered within the T set and C-A-G set. Besides the nucleon numbers of the standard block and side chains, the multiplier is assigned for each amino acid. Six separate bases composing two aspartic acid (Asp) triplets show the simple way to apportion the twenty amino acids between two sets.

In order to demonstrate the particular decimal notations, all numbers, divided by PN 037 and larger 999, are written as decimal 2664 = 666 + 999 x 2. According to the criterion of divisibility by PN 037 one can write down the number 2664 as three-digit sum 002 + 664 = 666 or represent shortened notation of the balance 222-and-222; some register could keep multiplier 2 or 10, respectively, for 999.

The balance is valid for the universal genetic code version

Fig. 6 The virtual global balance of the genetic code (shCherbak, 1999). There are the nucleon sum of an especially labeled part of the standard blocks and the nucleon sum of the side chains all over the code that draw up the balance. Pythagoras' image symbolizes balanced summations and decimalism. The alphabetized amino acids are gathered within the T set and C-A-G set. Besides the nucleon numbers of the standard block and side chains, the multiplier is assigned for each amino acid. Six separate bases composing two aspartic acid (Asp) triplets show the simple way to apportion the twenty amino acids between two sets.

In order to demonstrate the particular decimal notations, all numbers, divided by PN 037 and larger 999, are written as decimal 2664 = 666 + 999 x 2. According to the criterion of divisibility by PN 037 one can write down the number 2664 as three-digit sum 002 + 664 = 666 or represent shortened notation of the balance 222-and-222; some register could keep multiplier 2 or 10, respectively, for 999.

The balance is valid for the universal genetic code version

The second global balance exists, so to speak, at a "quark" level. The "quarks" are the triplet bases. The 64 triplets - when they are split - make 64 x 3 = 192 separate bases of four types. The bases gather into four sets with 48 identical bases inside each set. The amino acids and syntactic signs are mapped onto these items by the simple rule that is demonstrated for the aspartic acid doubly degenerated series. Such rather abstract acts are justified by a unique fact. Only the T set alone and the joint C-A-G set show the particular number notations of decimals. These are their side chain nucleon sums 666 + 999 x 2 and 555 + 999 x 7, respectively. The genetic code labels in such manner the balanceable part of the standard blocks. The joint A-G-C set contains 138 standard blocks, whose nucleon sum is equal to 222 + 999 x 10. On the other hand, the nucleon sum of the amino acid side chains in both sets - the split code on the whole - is exactly the same number.

The decimalism refutes the traditional notion about a natural ordinariness of the genetic code. We should note here that the imaginary borrowing converts equilibrated nucleon sums into virtual quantities. A virtual quantity is out of any control of natural events. They would control only the natural 73-nucleon block and 42-nucleon chain of the proline molecule. For example, these blocks and chains change the global balance 222-and-222 in Fig. 6 into disordered decimals 211-and-234. The particular decimal notations would be also ruined as soon as the natural blocks and chains are in use. Therefore, any suggestion that natural events could balance and decimalize the virtual genetic code seems fairly improbable. Instead, arithmetic and its chief operation, addition, seem to remain the only tool capable of achieving this.

Champollion checked fidelity of interpretations of hieroglyphs when they had been repeated in another hieroglyphic context of the Rosetta Stone script. In our case, the juxtaposed arithmetic language and the genetic code have revealed the decimal syntax of primordial summations. This unprecedented phenomenon should be confirmed in other ordered representations or "contexts" throughout the genetic code.

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