Lank units

The article has been declined by "Journal of Experimental and Theoretical Physics", "Letters to Journal of Experimental and Theoretical Physics" (Russia), "Ukrainian Physical Journal", "Physics Letters A" and "Physics Letters B" (Netherlands). PLANCK’S UNITS [] V. T. Vertushkoff Dniepropetrovsk , 49128, Ukraine www.vertushkov.dp.ua Date of place: 14 October 1999 year Planck’s units of electric (electrostatic) and magnetic interactions, which are analogous to the known units of gravitation interaction, are obtained. Planck’s particle Pl has the characteristics: E g = m p c 2 , m p » 2,18 ´ 10 -8 kg, E e =q p c 2 , q p » 1,87 ´ 10 -18 C, E m = m p c 2 , m p » 1,13 ´ 10 -16 N, L=ħ, p m » 4,89 ´ 10 -22 m B . Suppose that physical va c uum serves as the source of energy letting out during gravitation interaction of immovable point masses M and m. Masses M and m compensate the arising vacuum energy e < 0 and acquire mass defect D m. Then the energy of interaction E of masses M and m is equal to E = e = D mc 2 , D m<0 . Hence F = e /r , r – the distance between M and m. (As a result of comp ensation the full energy of vacuum e t in volume V of space laying along the segment r doesn’t change : e t = ½ D m ½ c 2 + D mc 2 = 0 ). If m is a mass of free material point, then acceleration will be At M = const, r = const and υ 0 = 0 , a = const , because the ratio D m / m = const is independ e nt from mass m of material point. At a = const power is influence on mass m , is proportional to this mass. This stated eliminates the ne c essity of constant gravitation f i eld is being created by material point of mass M . Local, labile gravitation f i elds a rise directly during the interaction of immobile point mass M with free point masses m 1 , m 2 , ..., m n . . Depend ing on mass m n ( at M = const , r = const, υ 0 = 0) different meanings have defect of mass D m and energy e = D mc 2 along the lines which are joining the masses m 1 , m 2 , ..., m n with mass M . let’s assume, that the sign minus is also created by defect of mass D m = - M in the formula of intensity of gravitation f i eld g . Then the intensity g is a characteristic of constant, spherically symmetrical of stationar y gravitation fi eld was created by immovable closed world containing the resting mass M. In a closed world the gravitation defect of mass D m is equal to its own mass M [1 ]. Va c uum energy in volume V of the closed world is equal to e = D mc 2 = -Mc 2 . Taking into account the compensation by energy E = Mc 2 the whole energy of vacuum e t in closed space is equal to zero. Resting mass of the closed world is also equal to zero. In general case the value ½ D m ½ – it is an equal to zero a part of resting mass M, which compensates the energy e < 0 . Within the limit at D m = -M in the space of closed world mass M = 0 ( the static closed world). While the closed world is being created by mass M the energy E = Mc 2 is being released out of vacuum. The outer gravitation f i eld of the closed world will have the energy of vac u um e =- Mc 2 . At the moment of its formation the closed world is transforming into vacuum (virtual) condition. In the static closed world the substance is situated in the most stable state (as mass M = 0 ). Gravitation interaction of real masses is the process of spontaneous transition of the substance into more stable state. In this process the meanings ½ D m ½ of interactive masses are increased. The connection of gravitation, electric and magnetic interactions is discovered at a comparison of Planck’s units, which correspond to these interactions. To receive the electric units for the corresponding formulas instead of the gravitational constant G N we shall introduce the coef fi cient of proportionality k e = 1/4 p e 0 ( e 0 – electric constant). (In formulas the Planck`s constant is slased - ħ ). Gravitation and electric units are connected by the constant If we include the coeff i cient of proportionality k m = m 0 / 4 p ( m 0 – magnetic constant ) into the same formulas, we’ll receive Plan ck ’s units of magnetic interaction. U nder magnetic “charge” m p we understand force F, which is analogous to force F m of magnetic pole of the magnetized rod. The constant of the connection of the gravitation and magnetic units The constant of the connection of the electric and magnetic units k e These constants of units connections are united by the expression k mg = k em ´ k eg ( table ). Let’s write down th e correlation m p cl g = E g t g = ħ . The angle moment L = ħ arises, obviously, during gravitation f i eld rotating with the energ y of the field E g = m p c 2 and the period of rotating T = t g . To confirm this supposition it is necessary to accept, that mass m p is being in closed three-dimensional space with vacuum energy value e = – m p c 2 . Negative vacuum energy is compensated by positive energy of mass m p , which is equal to E g = m p c 2 . As a result the rest mass of closed system is equal to zero. Mass m p is situated in the closed space and is also equal to zero. The closed space is revolving on its own axis with angle frequency w = 2 p / t g . q p = k eg m p ( table ) – electric charge q p arises during the revolving of mass m p on its own symmetry axis with numerical value of turning speed w = k eg » 1,72 ´ 10 -17 s -1 . Out side charge of the closed system is opposite to the sign of charge of mass m p . If both parts of equation q p = k e g m p are multiplied by c 2 , we receive E e = k eg E g . Analogically E m = k em E e , E m = k mg E g . Velocity of light c = l g / t g = l e / t e = l m / t m . In the system of reading of outer observer Planck’s particle P l ( closed space containing the charged mass m p ) represents itself a point. This point is moving with speed c along the immovable axis and is simultaneously revolving on its own axis with frequency w = 2 p /t g . The angle moment L of particle Pl is equal to L = E g t g = ħ and is created by the rotation of gravitational f i eld, which is contained in the closed space. Field energy E g = ½ e ½ = m p c 2 . Magnetic moment p m Pl – particle is equal to p m = 0 , 5 E e t e k eg » 4 , 89 ´ 10 -22 m B and is created by rotation of the electric f i eld, being in the closed space. Its energy is equal to E e = k eg E g = q p c 2 . So far as t e =l e /c , that is E e t e =q p c 2 (l e /c)=q p cl e . We shall note that t he charge q p of electric f i eld in the closed space is contrary in sign to the charge q p of mass m p . Thus the summary inner charge of the closed space is equal to zero . (Analogically the gravitation f i eld compensates the gravitational charge m p in the closed space). Just as the closed world , Pl – particle has the outer gravitation f i eld with energy E g = m p c 2 , and the outer electric f i eld with energy E e = q p c 2 as well . The energy of magnetic f i eld E m = k em E e = m p c 2 . Planck’s massless particle Pl has such characteristics: E g = m p c 2 , m p » 2 , 18 ´ 10 -8 kg, E e = q p c 2 , q p » 1, 87 ´ 10 -18 C, E m = m p c 2 , m p » 1, 13 ´ 10 -16 N, L = ħ, p m » 4,89 ´ 10 -22 m B . Constan ts l p t p Charge p E p Planck’s units Gravitational G n » 6,67 ´ 10 -11 m 3 kg -1 s -2 l g » 1 , 62 ´ 10 -35 m t g » 5 , 39 ´ 10 -44 s m p » 2, 18 ´ 10 -8 kg E g » 1, 22 ´ 10 28 eV Electric k e » 2 , 25 ´ 10 23 m 3 kg -1 l e » 9, 38 ´ 10 -19 ms t e » 3,13 ´ 10 -27 s 2 q p » 1, 87 ´ 10 -18 C E e » 2,10 ´ 10 11 eVs -1 Magnetic k m » 2,50 ´ 10 6 mkg -1 s 2 l m » 3,1 3 ´ 10 -27 s 2 t m » 1,04 ´ 10 -35 s 3 m -1 m p » 1, 13 ´ 10 -16 N E m » 6,30 ´ 10 19 eVms -2 Cons- tants of units con- nec- tion k eg » 1,72 ´ 10 -17 s -1 l e =l g /k eg t e =t g /k eg q p = k eg m p E e = k eg E g k em » 3,00 ´ 10 8 ms -1 l m =l e /k em t m =t e /k em m p = k em q p E m = k em E e k mg » 5,17 ´ 10 -9 ms -2 l m =l g /k mg t m =t g /k mg m p = k mg m p E m = k mg E g References [1] Ya.B. Zeldovich and I.D. Novikov , Structure and evolution of the Universe ( Nauka, Moscow, 1975 , p.139) E-mail: vertushkov@ua.fm V. Vertushkoff Kommunarovskaya str. 16, Flat 332. City Dniepropetrovsk, UKRAINE, 49128 ħ