The Constant G traditionally was reputed a very distant constant from electromagnetic constants.

Formulas which are shown above allow to get row of new major results. Let’s consider some of them.

An amazing likeness exists in formulas of Coulomb law and Newton’s gravitation law. In the first one - charges, in the second one - the masses. Herewith the mathematical records of laws absolutely identical. In view of this most likely that these laws are the fragments of some universal fundamental force law. Here is force universal formula which has been got by us [4 - 6].

F=( h α/l_u t_u)(k₁ k₂/k₃²)

This formula shows an intercommunication and unity of all the famous formulas for force: Newton’s formula F=ma, formula F=mg, formula of Newtonian law of gravitation, Coulomb’s law formula. The fundamental constants – the Planck constant h, fine-structure constant α, fundamental metrics of space-time l_u, t_u – go in the force universal formula. The coefficients k₁ and k₂ depend on type of interaction. These coefficients k₁ and k₂ are or ratios of interactive masses to elementary mass, or ratios of

charges to elementary charges. The coefficient k₃ is ratio of length to fundamental length l_u. Combination of constants h α /l_u t_u is a constant of force. Its value equal 29,0535047(31) N. From force universal formula, as the private cases, follow Newton’s mechanics laws, Newtonian law of gravitation, Coulomb’s law and Galilei law.

So, for example, the force universal formula turns into formula F=ma, if k₁=m/m_e, k₂=l/l_u, k₃=l/l_u=t/t_u:

F=( h α /l_u t_u)(k₁ k₂/k₃²) = ma.

The force universal formula turns into Coulomb law formula, if N₁=q₁/e, N₂=q₂/e, N₃=l/l_u=t/t_u:

F=( h α /l_u t_u)(k₁ k₂/k₃²) = q₁ q₂/l².

The force Universal formula turns into Newtonian law of gravitation, if k₁=m₁/me, k₂=m₂/m_e, k₃= l/l_u=t/t_u and if h_g (h_g= h/D_o):

F=(h_g α /l_u t_u)(k₁ k₂/k₃²) = G m₁ m₂/l².

We have got that electric force, mechanical force, gravitational force are described by only one universal formula. Dimensionless values, defined by masses ratio, charges ratio, lengths ratio go in this formula. Herewith Coulomb law, second Newton’s law, which are represented with help of force universal formula, have a perfectly identical record. Newtonian law of gravitation ,represented with help of force universal formula, remain the same as Coulomb’s law. A little difference only in that, that instead of quantum h is used gravitational quantum h_g.

The force universal formula shows, that electrical, mechanical and gravitational forces depend not so much from absolute values of masses , charges and lengths, how much from their ratio with fundamental constants of electromagnetism: electron mass, elementary charge, fundamental length. This is the reason of an amazing likeness of formulas in Coulomb’s law and in Newtonian law of gravitation.

Aforesaid leads to conclusion of possibility of new approach to problems of microgravity and of possibility to manage gravitation with help of electromagnetic technologies. Found tie between Coulomb’s law and Newton’s laws, indicates on that, that principle of equivalence of masses allowed assume more wide interpretation. We think, that principle of equivalence must be extended on equivalence of inert, gravitational and electromagnetic masses.

THE PROBLEM OF UNIFIED INTERACTION

Finding of unified interaction, which unifies four fundamental interactions, one of the most difficult unsettled problems of physics. Attempts to unify four fundamental interactions founded on searching of conditions when constants of interactions become equal.

Its easy to show that from force universal formula, except of Coulomb’s law, Newtonian law of gravitation, law F=ma, law F=mg follow also two new formulas of force, which do not have analogues neither in electrodynamics, nor in mechanics, nor in gravitation. This are the new formulas of force [4 - 6]. The first formula:

F_î = G_uν ²,

where: G_u -constant, equal 2,56696941(21) •10^-45 N s²; ν - frequency.

The second formula:

F = mb,

where: b is a new constant, which as to physical sense is acceleration. Its value equal 3,189404629(36) • 10³¹m/s².

Formula F_o=G_uν² describes a new

interaction. This interaction is unconnected with interaction of particles. This new interaction was named by us – universal interaction.

Formula F=mb is also a new formula. It determines force, related with defect of mass. Einstein’s formula E=mc² shows tie between energy and defect of mass [3], formula F=mb shows tie between force and defect of mass [4 - 6].

Proofs of existence of inlaying structure of proton were got in experiments. However a concrete inlaying structure of proton remains not found. Nature of its mass, equal 1836,152 of electron mass has not explanation.

Exposed tie of fundamental physical constants allows to solve these problems, to account for forming and to create a proton mass theory. We have got formula, which represents topology of inlaying structure of proton [7]. Here is this formula:

P_p=2(2(2(2(2(2(2(2(2(2+1)+1)+1)+1)+1)+ +1)+1)+1)+1)+1.

Will name this formula as topological proton formula. This very simple formula contains absolutely

all the information of proton and of all the intermediate stages of its forming. Topological proton formula includes not only the information about "the present " of this particle, but also of its "past". She represents proton structure and also dynamics of forming of inlaying proton structure. Its visibly in formula, that proton walked for 20 steps of structure genesis till it completed its structure. On ten steps of forming the structure existed half-integral spin. On other ten steps of forming the structure existed integral spin. Ones in topological proton formula represent half-integral spin. Its visibly in topological proton formula, that on intermediate stages in forming of proton structure participated unlike charges, which consolidated in single structures. Visibly, that in dynamics of structure genesis of proton principle of Pauli is kept. Topological proton formula shows, that an inlaying proton structure has a fractal structure, that forming of this particle is accomplished on recurrent algorithm.

With help of universal superconstants we have got a formula of proton mass. This formula has been got on base of recurrent algorithm of structure genesis of proton. Here is this formula [7]:

m_p=(h_u t_u/l_u2)( 2¹¹-1-(g_e/2) (∑2^{12- i}(1-((Do)^1/10α²)ⁱ)+ (2¹⁰-1)(1-((Do )^1/10 α²)²))),

where: ∑ - sum sign, in which summation makes from i=2 to i=11; g_e - electron g-factor.

Value of proton mass in electronic masses, calculated on this formula, equal 1836,150206(28) m_e. This number ,on opinion of Manin Y., is: ".. is the first true fundamental number. The theory, which explain this number, will be an important theory"[1].

Let’s use the new formula F=mb to define force, which provides the steadiness of proton. Equation for this force will be [4, 7]:

F_p=bm_e(g_e/2)(∑2^12-i(1-((D_o )^1/10 α² )ⁱ )+ (2¹⁰-1)(1- ((D_o )^1/10 α² )² )),

where: ∑ - sum sign, in which summation makes from i=2 to i=11.

Multiplier in formula, after constant b, is summary defect of mass (∆m_p), providing proton steadiness. Value of force, calculated by this formula, equal 6125,925 N. Let’s examine an analogy between force, which provide proton steadiness, and gravitational force, related to defect of proton mass. By using value of force equal 6125,925 N, we will have gravitational force:

F_gr = 6125,994/D_o=1,470279 •10^-39 N.

Now, on base of Newtonian law of gravitation, we will define force, with which will interact elementary mass m_e and mass, equivalent to defect of proton mass (∆m_p), on distances typical for nuclear interactions. By using of Newton’s formula, we will get:

F_gr = G m_e ∆m_p / l_u² = 1,470279 •10^-39 N.

This coincidence does not accidental. This result indicates on tie even between such distant and different by nature interactions - nuclear and gravitational interactions. The got results open the new possibilities in decision of problems of microgravity.

VALUE OF FUNDAMENTAL PHYSICAL CONSTANTS, GOT BY COMPUTATION.

Using of (h_u, l_u, t_u, α, π )- basis permitted to get all the fundamental physical constants by calculation. Some of fundamental constants, which got by calculation, more exact then their experimental values. For example:

1. Calculation value of the Newtonian constant of gravitation G has 9 digits:

G = 6,67286742(94) • 10^-11 m³ kg^-1 s^-2.

CODATA recommended value of the Newtonian constant of gravitation G (1998) has only 4 digits [2]:

G = 6,673(10) •10^-11 m³ kg^-1 s^-2.

2. Calculation value of the electron mass m_e equal:

m_e = 9,10938186(85) •10^-31 kg.

CODATA recommended value of the electron mass (1998) equal:

m_e = 9,10938188(72) •10^-31 kg.

3. Calculation value of the Planck length l_pl equal:

l_pl = 1,616081388(51) •10^-35 m.

CODATA recommended value of the Planck length (1998) equal:

l_pl = 1,6160(12) •10^-35 m.

4. Calculation value of the Planck mass m_pl equal:

m_pl = 2,17666772(25) •10^-8 kg.

CODATA recommended value of the Planck mass (1998) equal:

m_pl = 2,1767(16) •10^-8 kg.

5. Calculation value of the Planck time t_pl equal:

t_pl = 5,39066726(17) •10^-44 s.

6. Calculation value of the deuteron-electron mass ratio m_d/m_e equal:

m_d/m_e = 3670.47802(55).

7. Calculation value of the Hartree energy : E_h= 4,35974381(44) •10^-18 J.

CODATA recommended value of the Hartree energy (1998) equal: E_h= 4,35974381(34) •10^-18 J.

8. Calculation value of the Bohr magneton: μ_B = 9,27400899(45) •10^-24 JT^-1.

CODATA recommended value of the Bohr magneton (1998): μ_B = 9,27400899(37) •10^-24 JT^-1.

9. Calculation value of the magnetic flux quantum: Φ_o= 2,067833636(91) •10^-15 Wb.

CODATA recommended value of the magnetic flux quantum: Φ_o = 2,067833636(81) •10^-15 Wb.

10. Calculation value of the Hubble parameter: H= 1,749531663(89) •10^-18 s^-1.

11. Calculation value of the temperature in atomic nucleus: T_u= 5,929889(21) •10⁹ K.

Values of constants G, m_pl, l_pl, t_pl , got by computation, instead of 4 -5 digits have 9 - 10 digits.

Additional information obout constants you can find on web-sites:

• http://www.sciteclibrary.ru
• www.photcoef.com/236.html
• www.jsup.or.jp/shiryo/PDF/0900z53.pdf
• http://www.rusnauka.narod.ru
• http://www.n-t.org/tp/ng/nfk.htm

1. Has been opened fifth universal interaction, which lie in base of all four famous interactions, discovered formula F_î=G_uν² of universal interaction and have been got interaction constant G_u = 2,5669694(21) •10^-45 N s².

2.Have been opened the causes of amazing likeness in formulas of Coulomb’s law and Newtonian law of gravitation.

3. Have been opened a new force formula F=mb, which determines a tie between force and defect of mass. Have been found value of constant b= 3,189404629(36) • 10³¹m/s². This constant as to physical sense is a maximum acceleration.

4. Have been received an universal force formula, from which, as a private cases, follow formula of Newton’s law F=ma, formula of Coulomb’s law, formula of Newtonian law of gravitation , formula of law of universal interaction F_î = G_u ν ² and formula F=mb.

5. Have been got topological proton formula.

Back