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Articles and Publication    Physics    Theoretical physics AVOGADRO NUMBER AS a WORLD CONSTANT

AVOGADRO NUMBER AS a WORLD CONSTANT

© A.S. Holmansky

Contact: asholman@mtu-net.ru

Annotation For construction model of discret form of ether and fomalisation of mechanism of its interections and cooperation on elementes of partical has been suggested quantum of quantitative-qualitative change of order or numerical koefficent of a similarity “Avogadro number”, depending as a quant of bootstrap.

The physics studies regularities of manifestation in a world of a continuous essence of energy through its discretic forms. The energy organisation (order) of a world on all its levels is obey to the Third Newton's law: each action is possible if there is equal antiaction. Let's term its as fundamental action principle of energy (FAP). In correspondence with FAP, any action of energy, as a certain variation about a world, should combine in itself a couple of the alternative performances, reducible to oppositions: continuity « discretic (in numerical), linearity « curvature (in metric) and rest « movement (in state).

Let's term continuous state of energy as a first (I) level of complication of its form (energyform or EF-I) and is postulated, that discretic EF of the second level (EF-II) are constituted of couple EF-I, conditionally in accordans with FAP. For construction about a world from EF-II it is enough to accept as limiting conditions three world constants: a minimum quantum of action of energy - “Planck's constants' (h); maximum speed of self-movement EF - “speed of a photon ” (C) and quantum of quantitative-qualitative change of order or numerical koefficent of a similarity EF - “Avogadro number” (N) – the quant of bootstrap.

Take into consideration variety of mathematical models of an energetically fluctuating fisycal vacuum, we shall term theoretical interstellar vacuum as connate darkness and, in progressing ideas of a Faradei-Maxwell [1] about a ether, we shall accept for an element of connate darkness (ether) three-dimensional EF-II, combining two orthogonal movement - translational (rectilinear) and rotational (curved) (spiral n /g-pair).

Formally we shall correlate impulse pair (p) with magnitude of radius of a ring (r) (n -eddy of a light), encompassing selfcontained, toroidal stream of darkness (g-eddy). Formally we shall describe a g-eddy by imaginary magnitudes of fluence of darkness in a hem - ir g ([g/cmі]) and its equivalent mass - img. Imaginary of magnitude of mass, answering incomprehensibility of its essence, is opposed to real magnitude of a impulse, the speed of variation determines the size which one, force, acting at it. Having identified energy of rotating of a g-eddy with its rest energy, energy (E) n /g-pair is representable by a complex number:

E = En + Eg = pC + imgC2. (1)

And, according to FAP, for quadrate of the modulus (1) we postulate identity:

| E |2 = E E* = p2C2 + mg2C 4 º 0, (2)

Each “step” of movement EF-II is quantized by ratio:

p 2pr = k h, (3)

| L | 2p = k h, (4)

En t = h, (5)

Where t = 2pr/C, k = 1, 2... Quantum numbers, and | L | - modulus of a moment of a g-eddy. For a g-eddy in an image of a thin-wall orb-shell (4) will accept a kind: | L | = k? /2 (? = h/2p).

To a g-eddy we shall distribute dynamics of a hydroeddy (wr = const) and laws of rotating of a body in a centrally symmetric field of forces:

|Eg| = 3|Wj | = 3/2 |L | w = 3/2 | J | wІ є mC2 (6)

Where Wj - kinetic energy of rotating, and J - moment of inertia of a body. From (1) and (3) follow expression for translational energy or impuls (symbol – light) and schema of isoenergetic-convertible rearrangement ligts (fractal transition):

En = pC = ? C/r Û k? C/kr, (7)

On which one ring of a light of radius r will be converted in k of rings of a helix or torus of radius kr. We postulate, that at k « N the schema (7) defines kinetics of interaction EF-II themself. Condition of interlevel transition EF-II ® EF-III there will be a merging or correlation of dynamics k = N lights (N-condensation or quant of bootstrap).

The account of the metric EF-II, with the help (3) - (7), is carried out separately for energy of a light and darkness, and will then be agreed with help (2). The equation for energy of darkness self-movement EF-II looks like:

|mg|C2/2 + |Eg | = mgC2. (8)

Composite EF-II will be derivated from combination n /g-pairs and their reflecting enantiomorphs. For example, charge-mass EF-II gives merger p-versed pair {(p, L) + (-p, L)} (L-pair). The N-condensation of pieces L-pair gives a material element of a fragment (shell, orbital), having the share of a charge and rest-mass of a fundamental particle (EF-III).

Self-movement EF gives merger L-versed pair: {(p, L) + (p, -L)} (p-pair). From p-pair (the number Ј N), reshapes quantas of electromagnetic energy (photons) conserving equivalence of mass and on III a level. The photons with a stroma from a ring of a light (n -type) - are generated at the turn over of impulse of a electron (p ® -p) (radiowave). The photons with a stroma from a g-eddy (g-type) radiate systems with exuberant energy of rotating (IK-photons of a rotationally - activated molecule).

The number of emitters both absorbers of IK-photons and radiowaves is close to N, as ensures development these EF-II on III a level. The quasistationary streams of photons n- and g-type constitute electric and magnetic lines of force (tubes of the Faraday). The photons visible and are higher than ranges (UV, roentgen, g-quantas), acquiring elements of the metric of mother fragments (electron, nucleone), are assembled from ~N the is right-left-hand p-pair in fragment - similar patterns. To empirical wave length of a photon there corresponds length of a translational step it ligte, whose qvant is exhibited through valvens of an ethereous trace of a photon, similar “to the track of a Karman”.

The intercoupling of a light and darkness in n/g-pair, at its perturbation, is exhibited through convertible convertions of a light and darkness, as constitutes an essence of “magnetic linkage” in the phenomenon of an electromagnetic induction. The dimensions of tensions electric (Ee), magnetic (Hg) of fields and magnetic charge - e* = eC [1] (e - elementary charge) gives ratio:

En = (rn)1/2 ; | Hg | = (rg)1/2, (9)

Where rn - fluence of electric energy (light), [erg/cm3].

According to FAP, having applied (2), we shall receive equivalent ratio:

(rn)1/2 = C (|rg |)1/2 (10)

and Ee2 + (C|Eg|)2 º 0. Besides the substitution (9) in Maxwell equations for an electromotive force of selfinduction (Fe) [1], determines intrinsic cognation of the basic equation of electrodynamics with Second Newton's law:

| Fe | = 1/L (rn)1/2 (rg)1/2 S t = arg C S t = a rg V = a mg, (11)

Where a return selfinductance [1/L] = [a] = cm/sec2, as a matter of fact, plays a role of a centripetal acceleration communicating to darkness by a light.

Light EF II and III of levels, influencing on n /g-pairs of a ether, will derivate from their streams own atmospheres, by the metric which one are defined the form and intensity of remote interactions EF among themselves. These, especially anisotropic interactions, constituting an essence of weakly and electromagnetic interactions, substitute for EF-II, -III their inertion-gravitation properties, which one become appreciable only in the sum of isotropic effect on a ether ~N2 lights of atomic-molecular systems, that is since IV of a level. And for macrobodis, the magnetic or electrostatic developments macrocorrelates lights, should have an effect for their inertion-gravitation properties, down to complete substitution last, in applicable scale.

The intrinsic cognation of magnetic and gravitation forces was reputed already by the Maxwell [1], in the argument of gravitation by action on a body of an environment. Really, according to a Bernoulli's relation, the ascending rg inside matter, owing to a difference of number internal and boundary lights, should reduce in exuberant static pressure of external connate darkness, the resultant force which one will be proportional to inertion-heavy mass.

The constant G can be expressed through world constants (h, c, N) and quantum of a rest-mass of a level III, which one is the rest-mass of a electron [6]:

G = (8p )2? C/(Nmе)2 = (8p К)2? C/(Nmp)2 = (8p К)2(? C) = 6,63 10–8 g /(cm3sec2). (12)

mp – rest-mass of proton, K = mp/me and Nmp = 1.

The estimated value G (12) on ~0,5 % is less than magnitude G, defined in laboratory conditions [2, 3]. Besides the empirical magnitude G is reduced with speed of ~ 4 10- 4 % annually and ritmic varies within the limits 0,01 ÷ 0,05 %, depending on a number of the space and geophysical phenomena [2]. These datas can testify to decrease rg, owing to drawing of connate darkness in new stable EF (for example, at a level noospher) and dependence of this process on dynamics of the metric near-earth n/g-pairs.

The stationary metric of a ether is reshaped by the metrics material EF. For example, diamond demonstrate elastic - rigid properties three-dimensional - bound EF of a ether, and superfluid at T Ј 2K the helium demonstrates kvasiqontinios macrojavel of a ether. On the other hand, the dynamical metric of a hydrogen bridge in aqueous gels, adapting inner patterns and exterior forms of biosystems under the metric dominating EF of a habitat, personifies variety of properties and metrics of a ether in substantial conditions. For example, form of some fishes, as casts with particular EF of water, demonstrate the elementary images of geometries of Euclid, Lobachevskii and Riemann [4]. The visual pattern of the helically-solenoid metric ground EF of a ether are the sea-worms and snakes.

Ratio (10), as a matter of fact, to identically empirical expression for rate of propagation of elastic waves in a continuous medium:

v = (K/r)1/2, (13)

As the dimensions of an elastic coefficient K and rn are identical, from matching (10) and (13) follows, that the speed of self-movement of photons on ready “tracks” from n/g-pairs, is peer C.

Tracks can be presented as perturbation (polarization) of darkness lights of a photon or diverse EF. Dynamics of perturbation is limited by speed of rearrangement - correlation lights, which one can be defined with the help (13), saggesting, that the interconvertion of a light in a g-eddy, is asymptotic transition I (r ° ) Þ II (r g), for which one it will be formal fairly:

Cn = (rn/ro)1/2 = (rn/(rg/N))1/2 = CN1/2 = 2,3 1022 cm/sec. (14)

Taking into account an essence of a gravitation, we postulate, that (14) is a upgrade of rate of propagation of perturbations of a ether in an image of surges of a gravitation (C « vg £ Cn) and we shall suspect, that the discrepancy of magnitudes C and vg, alone, and subdivides interactions material EF with a ether on electromagnetic and inertion-gravitation.

Let's give examples of usage of the formulated above principles.

1. Elementary particles, core. At account of the metrics of particles and nucleuses, as limiting conditions utilised: a rest-mass, magnitude and sign of a spin, charge, own moment of magnet (m ) (Table). The stability of elements is ensured with anisotropic interactions them light, only within the limits of the metric of a fragment. The availability for a proton both electron of internal and external orbitals with opposite signs of a helicity (charge), stipulates stability of these fragments. Radius of these forces is compares with cise of fragments. The neutron basically is astable.

Equations, used for account structure of particals, in case of proton have form:

a) Lsh = 2/3 msh rsh²wsh = ? /2;

a*) Lin = - min rin²win = - ? ;

a**) Lex = mex rex²wex = ? ,

where index “sh ”, “in“ and “ex“ denote shell, internal and external orbital.

b) |win| rin = wex rex, rsh = rin and wsh = |win|.

c) mp = 2,79 e? /(2mpC) = msh + min + mex = S Li |qi|/(2miC), where i = sh, in, ex

for qsh = qex = 2/3e, qin = - 1/3e; min = 4/3 msh,

follous: 8,37/mp = 1/(4msh) + 2/mex;

d) 3Wj = 3S | Li wi |/2 = mpC2 or

3 ? /2 (3wsh/2 + wex) = mpC2 .

Equation c) for neutron and electron have kinds: - 1,91/mn = 1/(3msh) - 2/[3(mn - msh)] and

- 3/me = - 5/(2msh) + 1/mex.

Proceeding from neitrono-similar pattern of a neutrino and taking into account all complex of experimental data about a them [3], it is possible to suspect, that the neutrino, as well as neutron, basically is unstable. To him equivalent mass, for want of a charge and moment of magnet is peculiar.

Having taken advantage (5) and lifetime of a neutron (~900 sec) can be evaluated energy (|Eg*| ~ 10-30 ergs), conversing a neutron EF*, which one, having the sign of a helicity, oppos to the sign of a helicity of a shell of a neutron, is “germ” of a shall-orbital of a electron. Having accepted magnitude Eg* for representative significance Eg EF-II, we shall receive, that the nucleone is constituted from ~ 103 N, and electron and neutrino from ~N of pieces EF-II, consicvent of the metric (L-pairs).

The remaining ~140 elementary particles are short-lived, exited states of a photon, neutrino, electron and nucleones. At their account, in a right member of a ratio (8) the excitation energy, and in (4) the applicable significance k is entered. In exiting states of neutron it external orbital go into shell. For example, radiuses of shell and orbitals of particles L and S _ equal, accordingly: 0,84; 0,78 (L ) and 0,93; 0,68 (S _ ) Fermi.

 

The pattern of nucleuses will be derivated by the spin-correlated condensation of related elements of nucleones in the applicable elements of nucleuses, with formation of the closed or open shells. Last, appearing external, subdividts magnetic properties of nucleuses on protono- or neitrono-similar. The accounts of pattern and sizes of nucleuses give the good consent with experimental data. Rekurrent formule for radius of closed shell of mild nucleuses with number of proton n £ 8:

rns = 3/4 (? /mC) {[(2n - 1) (5n - 2)]/2}1/2 ,

with m = (mn + mp)/2.

2. Selfclosed Universe. For resting of a electron the account gives:

|Eg | = meC2 = 3Ö 3 ? C/rex . (16)

If G to express through “Planck length ” - L = (? G/C3)1/2 and to substitute in (12), we shall receive a ratio numerically identical (16):

meC2 = 8p? C/NL º 3Ö 3 ? C/rex . (17)

From (7) and (17), in particular, follows, that at indject of a light of radius L in darkness, basically, can be formed N of electrons. Taking into account it, instability of a neutron and expressed flatness of the early Universe [3] and Sun system, it is possible to offer the following pattern model of its selforganizing.

Initial, asymptotic I Þ II the transition - selfreversal of continuous energy was given indispensable number n/g-pairs of a ether, the hiral correlated condensation on mechanim of bootstrap has spawned which one a plainly-round monolayer from neutrons and antineutrons (~Ruv), packed in the chess order. The monolayer has divided connate darkness of the Universe on upper (northern) and lower (southern) half. Consequent then the disintegrations of neutrons and antineutron, were accompanied by synthesizing of mild nucleuses and nucleone-nuclear condensation on EF of a ether, with the metric of macroobjets, capable of selfprogressing.

Number of neutrons, the magnitudes Ruv and mass of the Universe (Muv) are interdependent also them it is possible to express through a rest-mass of a neutron and radius it lights or action of nuclear forces (rn ~ 10rex), having applied a classic condition of gravitation selfclosure of the system: GMuv/(Ruv)2 = C2/Ruv:

Muv = (Ruv)2mn / (rn) 2 = (C2rn)2/mnG2 ~1056 ~ NMÓ g; Ruv = C2rn2/mnG ~ 1028 cm, where MÓ - mass of the Sun.

3. Let's mark, that the principle of movement of a electron on an orbit of H-atom, is saved and in a case of a freely moving patical, thus kinetic energy, as an excitation energy of a partical, personifies photonlake of n/g-pair, variation of energy and metric by which one, answering on exposures, are realized by a principle of a reactive locomotor.

In correspondence with FAP, having equated to zero moudel of complex force of the Lorentz - Fe = eEn + iq*Hg (q* = ev - substantial magnetic elementary charge in a stream of darkness), we shall receive connection Hg with parametrs of H-atom, which one allows to receive expressions for a fine structure constant (a = e2/? C) - a = v/C = q*/e* and quantum of a magnetic flux |F o| = |Hg|(prH2) = h/2e. These expressions uncovers a physical essence of a empirical constant a, and mounts cognation of movement of a electron on atomic-molecular orbitals with macrocurrent in a superconducting ring.

Principles of the organisation of particals, nucleuses, atoms, answering a universality of principles of energy of a ether, is like are played back on highest levels about (biosystem, planet, star). For example, having multiplied radius (0,55 Fermi) shells of a core of helium on N, we shall receive radius of a shell heliolake of the Sun. An internal and external orbital of the Sun are disposed on equator of a shell, stipulating specificity of the metric of the Sun and its magnetic field. With the same similarity factor, pair the Sun-Jupiter plays back numerical parametrs of atom of hydrogen.

4. Connate radiating (c. r.). Metric of the Universe to scale Metagalaxy will constitute n/g-pairs of a ether, with radiuses, close to Rn radius of our Galaxy (Rn ~ 1022 cm). The spontan, periodical N-condensation lights of such pairs, gives photon c. r. a g-type (l ~ 0,1 cm), under the formula (7): N/Rn ® 2p/l. Dimensional anisotropy c. r. (within the limits of 0,1 %) [3], is similar to magnitude G, it is possible to explain by laying on n/g-pairs of a world ether n/g-pairs, bound with movement of the Sun and Earth concerning centre of a Galaxy.

The princip of generation of photons c. r. is universal and it is possible to suspect, as in the molecular-ordered biosystems, under certain conditions, are spontaneously induced not only photons c. r., but also the antineutrino, from applicable solar EF-II condences, radius lights constitutes which one C? /Eg* ~ 1 astr. u. (1,5 1013 cm). The antineutrino, probably, can play a role ciral intermediate of a bioenergetics pair a proton-electron at a cell-like level. For example, heightened background EF-II from the antineutrino b-break of the nucleuses, which have stayed from the Tunguskii meteorite, is possible to explain multiple magnification of efficiency of growth of young trees and other bioeffects in impact area of a meteorite [5].

In summary we shall quote the words of the Laplace: “the Universe which has been narrowed down up to the sizes, taken by atom, would represent the same painting. The simplicity of the laws of the nature allows us to supervise and to learn only relation”. The results of the present artical have shown, that the metric-energy relations are quantized and rules of their quantizing it is possible to formalize with the help of a Avogadro number as a quant of bootstrap. 

 

THE LITERATURE

1. Maxwell D. K., Selected work on theory of electromagnetical field, M., 1954, 687 p.

2. Ismailov In. P., Karigous A. В., Parhomov A.. Variations of outcomes Measurings of gravitational constant // the Atlas of temporary variations Natural, anthropogenous and social processes, v. 2, M., 1998, n. 2, p. 163

3. Klapdor-Klingrothaus. H., Staudt A., Not accelerating physics of elementary particles, M, 1997, 527 p.

4. Methodological problems of a crystallography, red. N. Belov, M., 1985, p. 229

5. Zolotov A. I. Problems Tungusski of catastrophe of 1908, Minsk, 1969

6. Holmansky A.S. Game in constants // http://www.sciteclibrary.ru/rus/catalog/pages/7122.html

Publishing date: March 23, 2004
Source: SciTecLibrary.ru

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