The known order of natural numbers: (123456789), as the periodicity of filling the space with numerical symbols obtained as a result of adding up the contours of units in the content of the primary matrix “Matrix of the sequence of composition of natural numbers” and located in the phase sequence: (A), of the order: (123456789), from the limit of “compression”, to the limit of the phase: (B), “expansion”, of the order: (987654321), forming a mutually opposite and counter interaction of their compositions.

The interaction of order limits, under arithmetic operations, forms the following phase definitions of the functional arguments of the nucleon composition, that is, the proton and neutron functions for the given orders.

Composition of the order of the limits of the difference:

[A-B] – “compression”, A (fmp): 864197532

Composition of the order of the limits of the sum:

[A+B] – “expansion”, B(fmn): 1111111110

Event number (f_mpn^s) of order: 123456789^-1 = 1.012499999987E-09

Event number (f_mnn^s) of order: 987654321^-1 = 8.10000007371E-09

These data relate to the principle of quantum calculation of the orders of internal interaction of the limits of numerical compositions, where the values ​​of the integer numbers of events:

(1_mpn^s → 8_mnn^s), from linear composition to volumetric, from unity to cyclic expression of the contour of space.

The fractional part of these "long" numbers is the internal content of the bases of the inverse negative order of these definitions.

At the same time, the nucleon number (nykl) is a number that determines the main internal shift of the functional interaction of numerical events of opposite compositions, under the conditions of quantum values ​​will be common for the conditions of "expansion":

nykl → (1 + f_mpn^s) = 1,00000000101250000000

Thus, the structure of the internal expression of quantum interactions of the limits of the contour of structures of opposite orders of natural numbers will be the following:

For event numbers, phase: (A) → ((f_mpn^s + f_mnn^s) / f_mpn^s)^-1 = 0,1111111112236110

Phase: (B) → nykl – (A) = 0,88888888978888900

Next, the event number of the sum of the limits:

[A+B]^-1 → 1111111110^-1 = 9,00000000900000E-10

The ratio of phase limits to the number of the event of the sum of these numerical orders, the first act of interaction of opposite compositions:

Act 1. Phase (A): 0,1111111112236110 / [A+B]^-1 =  987654321,00000000

Act 1. Phase (B): 0,88888888978888900 / [A+B]^-1 = 123456790,1250000000

The interaction of numerical events of the ordinal limits of the second act will already be with the data from the first act and so on:

Act 2. Phase: - (А): 987654320,00000000

Act 2. Phase: + (B): 123456791,1250000000

Act 3. Phase: - (А): 987654319,00000000

Act 3. Phase: + (B): 123456792,1250000000

Act 4. Phase: - (А): 987654318,00000000

Act 4. Phase: + (B): 123456793,1250000000

Act 5. Phase: - (А): 987654317,00000000

Act 5. Phase: + (B): 123456794,1250000000

Act 6. Phase: - (А): 987654316,00000000

Act 6. Phase: + (B): 123456795,1250000000

Act 7. Phase: - (А): 987654315,00000000

Act 7. Phase: + (B): 123456796,1250000000

As can be seen from the seven acts taken as an example, the order of phase (A) loses one.  While the order of phase gains one to its limit.

This is what concerns the interaction of numerical events. In the case of the counter compositions of orders (A) and (B) themselves, as the results of interaction, their limits, will also have their final numbers, for example:

Act 1. ((A+B)/A)^-1: (A): 1.23456788875000E+08; (B): 9.87654322250000E+08

Act 1. ((A+B)/B)^-1: (A): 9.87654321250000E+08; (B): 1.23456789875000E+08

Act 35. ((A+B)/A)^-1: (A): 1.23456803750000E+08; (B): 9.87654307375000E+08

Act 35. ((A+B)/B)^-1: (A): 9.87654306375000E+08; (B): 1.23456804750000E+08

This comparison shows the variable results of interactions of functional phase numerical orders in the same act.

This mathematical method is based on the consequence of the established causes of periodic limits of the phase of "expansion" of the functional structure of the charge of Hydrogen, based on the conditions of the paradox of "inequalities" of the structures of the same natural numbers, in particular, when one is not equal to one (1 ≠ 1)!

For example:

1. [(9^-1) + (3^-1) + (2^-1) + (18^-1)] = 1
2. [(8^-1) + (2^-1) + (4^-1) + (8^-1)] = 1
3. [(7^-1) + (2^-1) + (3^-1) + (42^-1)] = 1
4. [(6^-1) + (12^-1) + (2^-1) + (4^-1)] = 1
5. [(5^-1) + (2^-1) + (4^-1) + (20^-1)] = 1

First of all, this concerns the unit of volume, (π/6): (2+3+6) = 11, or:  (2^-1+ 3^-1 +6^-1) = 1.

It should be clarified: 11^-1 = pH¹, (π x n³) / 6 → for all basis, “Matrix of the structure of a unit of volume”.

Here, the amount: [Basis (1+2+3) = 1]; [Phase (1+3+5) = 6]; [Phase (2+4+6) = (π/6)];

[Volume (1+2+3) = pH (0,087249194)]; it  follows that the sum of the even phases corresponds to the volume of the vacuum.

For the conditions of the relationship of mass functional structures, for example, from the composition of isotopes of any chemical element, its extreme limits will correspond to the opposite products and the state of radioactive decays.

For example, isotopes of Oxygen: ₈O¹³↔ ₈O²⁰ .

The Oxygen nucleon is defined by its stable mass, therefore:

nykl O → m ₈O¹⁶ (15,9994 / 16) = 0,9999625.

Next, the masses of the isotopes are respectively:

m ₈O¹³ → 13nykl = 12,9995125; m ₈O²⁰ → 20nykl = 19,99925.

According to the definition of the functional numbers of protons and neutrons from the previous text: “CAUSES AND CONDITIONS OF TRANSITIONS OF MÖSSBAUER NUCLEI” (part 1), it follows:

The proton and neutron that make up the nucleon for ₈O¹³:

Phase (А): mp(0,999470084^-1 = 1,000530197), mn(1,000750365).

Phase (B): mp(0,999409147^-1 = 1,001182755), mn(1,000847865).

The proton and neutron that make up the nucleon for ₈O²⁰:

Phase (А): mp(0,999173577^-1 = 1,000827107), mn(1,000488449).

Phase (B): mp(0,999079827^-1 = 1,000921021), mn(1,000550949).

As can be seen from the obtained data, the numbers of functional protons and neutrons, both within isotopes and in phase definitions, are not equal in their values. This difference contains a hyperfine structure, which is the main condition for a direct relationship between the main functions of the transition between the charges of protons and neutrons in the structure of a common nucleon.

For example, the interaction of the functions of the proton and neutron of the Oxygen isotope (₈O¹³), in phase (A), the mass of the protons increases, while maintaining a constant number of protons. In turn, the mass of the neutrons decreases, also maintaining its initial number. In both cases, a critical state of the masses occurs, when the quantity turns into quality. In particular, the number of protons increases, and the number of neutrons decreases.

For example: Phase (A) of the Oxygen isotope (₈O¹³).

Act 1. Number of protons: 7.995760674, number of neutrons: 5.003751826

Act 2900. Number of protons: 8.914026291, number of neutrons: 4.085486209

Act 3147. Number of protons: 8.99697759, number of neutrons: 4.00253491

Therefore:

mp′ → 8.99697759 / 9 = 0.999664177, mn′ → 4.00253491 / 4 = 1.000633727

Is this Fluorine (₉F¹³)?

In another example: Phase (B) of the Oxygen isotope (₈O¹³).

Act 1. Number of protons: 7.995273174, number of neutrons: 5.004239326

Act 3000. Number of protons: 7.399605295, number of neutrons: 5.599907205

Act 4853. Number of protons: 6.002876854, number of neutrons: 6.996635646

Therefore:

mp′ → 6.002876854 / 6 = 1.00047947564

mn′ → 6.996635646 / 7 = 0.99951937802

This is Carbon (₆C¹³)!

It should be said that in all cases the mass number remains constant, as does the law of conservation of mass!

Thus, without going into details of the functional phase interactions of the structure of Oxygen (₈O²⁰), as the limit of the “expansion” of the composition of its isotopes, it is necessary to note that the number of the reduced neutron of Carbon (₆C¹³), phase (B) of the Oxygen isotope (₈O¹³), is the field of the reduced neutron number of Oxygen (₈O²⁰), phase (A) of this Oxygen isotope:

mn ₈O²⁰ (1.000488449-1 = 0.999511789), mn′ ₆C¹³ = 0.99951937802.

Analytical studies of the established cycles are not included in the proposed material.

In turn, the stated principle of functional phase interactions for the analysis of functional transitions of isobars remains unchanged.

To be continued….