The gravitational model of
strong interaction is the model, in which strong interaction is described
by strong gravitation, the action of
the gravitational torsion field and
electromagnetic forces.
Contents

In elementary particle physics
the generally accepted model is the Standard model according to which strong
interaction occurs on the scale, not much greater than the size of atomic
nuclei. In this case, there are considered two different possible situations –
strong interaction between nucleons (or between other hadrons), and strong
interaction in the matter of hadrons. In the first case the pionnucleon Yukawa
interaction is often used, according to which the role of carriers of strong
interaction between nucleons is played by virtual pions and other mesons. In
the second case quantum chromodynamics (QCD) is involved, in which hadrons are
composed of quarks, there are two quarks in each meson, and three quarks in
baryons. Quarks interact by gluons and can not exist outside hadrons in the
free form. Except two or three valence quarks, a hadron must contain gluon
clouds surrounding quarks and seas of virtual particles such as quarkantiquark
and electronpositron pairs, W and Z bosons. In QCD gluons are considered the
carriers of strong interaction, and the interaction between nucleons is treated
as a residual effect of the quark gluon fields that goes beyond hadrons. As a
result, the forces between two nucleons must be much less than the forces
between the quarks inside these nucleons.
At present the description of
strong interaction between nucleons through virtual pions to some extent looks
archaic and does not seem satisfactory. For example, it is unclear at what
point between nucleons these virtual pions should appear, what is the mechanism
of their origin and subsequent action. How can the momentum transfer from
virtual pions either attract nucleons, or repel them depending on the distance
between the nucleons? Due to what does the tensor component of nuclear forces,
which is not purely radial, arise? From a philosophical point of view,
reduction of the interaction between elementary particles to other elementary
particles seems rather an artificial device, than description of the essence of
phenomena.
QCD also has its own problems
analyzed in the model of quark
quasiparticles. Among the main problems are: introducing into the Standard
theory many new unexplained entities and adjustable parameters; considering
interactions as point events with quarks and bosons of point sizes and
subsequent discrepancy in solutions; unobservability of free quarks and gluons,
indicating that they are quasiparticles; color confinement as retention of
color charge in hadrons, and asymptotic freedom of quarks at short distances
between them; different masses of quarks with equal spins and two fixed values
of the fractional elementary charge; the reason for collapse of massive quarks;
specification of defragmentation method and hadronization of jets with
obligatory conversion of various color quarks into colorless hadrons; the
origin of quantum numbers of quarks, etc.
In the Standard model it is
assumed that quarks, leptons, W and Z
bosons acquire mass through the mechanism of spontaneous symmetry
breaking and Higgs bosons. After that hadrons consisting of quarks also become
massive. If we proceed from the theory of Infinite
Hierarchical Nesting of Matter, the mass appears as an intrinsic property
of material particles that occurs as a result of Le Sage's theory of
gravitation. ^{[1]} ^{[2]} At the level of
elementary particles strong gravitation influences the scattered matter,
forming objects, containing different amounts of substance. Further, these
objects evolve similarly to the main sequence stars, turning into lowmass particles like nuons and in nucleons. According to the substantial neutron model, neutrons appear
first, and then protons and electrons emerge as a result of beta decay.
At the level of stars neutron corresponds to a neutron star, proton corresponds to a magnetar, pions
correspond to neutron stars with minimum mass decaying in time, ^{[3]} and nuons correspond to white dwarfs. ^{[4]} Discreteness of masses of these objects
is defined by a narrow range of masses, in which formation of these objects is
possible in the field of strong (or, respectively, ordinary) gravitation
according to the equation of their matter state.
The reason of mass and its
inertia in the general case is interaction of gravitons with matter. This
interaction leads to attraction of bodies and to the concept of gravitational
mass. At the same time, in case of acceleration of bodies relative to the
fluxes of gravitons inertial mass and the corresponding inertial force appear.
Taking into account the similarity of
matter levels and SPФ symmetry,
such description of gravitation is universal for all levels of matter.
Meanwhile, in general relativity, mass is considered as the consequence of
curvature of spacetime around the matter and in elementary particle physics the
Higgs mechanism is introduced to describe the mass. As we can see, in the
latter case, representation of mass is ambiguous and depends strongly on the
size and mass of the objects.
The estimate of the mass and
sizes of nucleons can be obtained in the same way which was used in the study
of properties of neutron stars based on the principles of quantum mechanics. ^{[5]} From comparison of the gravitational binding energy
of the star and the quantum mechanical energy of matter (expressed by Planck
constant) we obtain formulas for the mass and radius of the star. Similar
formulas are used for nucleons as the analogues of neutron stars. It turns out
that the mass and radius of nucleons are determined by quantum properties of
their matter and depend on the value of the strong
gravitational constant. For connection of the radius and mass of the proton
the following formula is obtained: ^{[6]}
where is
a constant depending on the properties of the proton matter.
The electromagnetic field, along with
gravitational, is the fundamental force field. Natural objects, containing
matter at low density and low energy of interaction, are generally neutral due
to the compensation of positive and negative charges of the matter. Charged
objects occur when the carriers of charge of a single sign are removed from (or
added to) them. Characteristic and widespread process is acquisition of a
positive charge by the proton and formation of a negatively charged electron in
beta decay due to reactions of weak interaction occurring in the neutron
matter. The analysis of energies in the proton shows that the proton charge has
the maximum possible value when the density of zero electromagnetic energy is
comparable to the energy density of strong gravitation. ^{[6]} Equality of the charge of proton and electron
follows from the nature of neutron beta decay and takes place in every point of
the Universe.
Secondary character of mass and
charge of the electron in the hydrogen atom with respect to the proton follows
from substantial electron model. In
particular, the electron matter must have the charge equal to the charge of the
proton, to ensure electrical neutrality of the atom. At the same time the mass
of the electron must be of such value that its attraction to the nucleus in the
strong gravitational field must be equal to the electric force between the
charges of the nucleus and the electron. In addition, there are two almost
identical forces: repulsion of the charged matter of the electron cloud from
itself, and the centrifugal force of rotation. The sum of these four forces is
zero in stationary rotation of the electron cloud, which allows determining the
strong gravitational constant. In the process of nucleosynthesis of more massive
atoms from hydrogen atom each time interaction of neutrons, protons and
electrons takes place. It helps to understand the origin of the elementary
charge and the necessity to use it in elementary particle physics and in atomic
physics as the standard unit of charge. Thus, the origin of mass and charges of
elementary particles does not require introduction of hypothetical fields like
the Higgs field.
Since at the level of elementary
particles the main force is assumed strong
gravitation, it allows us to calculate the total energy of hadron of the
nucleon type, which is up to sign equal to the binding energy of the hadron
matter: ^{[3]} ^{[6]}
Here for
objects like nucleons and neutron stars, is the strong gravitational constant,
and are the mass and radius of the hadron.
Relation (1) can be used to
estimate approximately the particle radius by its known mass, rewriting (1) in
the form where and are the mass and radius of the proton. If we substitute the obtained radii
of the particles into (2), we shall obtain the gravitational binding energies
of the particles shown in the Table. ^{[6]}
Characteristics of proton, pion and muon 

Particle 
Massenergy, MeV 
Mass, 10^{–27} kg 
Radius, 10^{–16} m 
Binding energy ,
MeV 
Proton p^{+} 
938.272029 
1.6726 
8.7 
938.272 
Meson 
600 
1.1 
10 
354 
Pion π^{+} 
139.567 
0.249 
16.4 
11 
Muon μ^{+} 
105.658 
0.188 
10900 
0.095 
The particle masses in Table are obtained by dividing the massenergy converted
from MeV to J, by the squared speed of light. The massenergy corresponds to
the rest energy in the special relativity, and is directly proportional to the
mass (see the mass–energy equivalence). In contrast to this, the total energy
of the particle is calculated by summing the potential energy of strong
gravitation and the internal kinetic energy of particle matter, the absolute
value of the total energy is equal to the binding energy or the energy required
to scatter the particle matter to infinity with zero velocity. According to the
Table the binding energy of pion matter in the strong gravitational field is
one order of magnitude less than the rest energy, which is the consequence of
low density of the pion matter.
The laws of conservation of
energy and momentum in reactions with elementary particles in the special
theory of relativity are as follows:
where before the interaction
there are n particles, and after the interaction the number of particles is m,
and there is a possibility that , and are corresponding mass and momentum of particles, is
the speed of light.
On the other hand, the energy
balance can be written in such a way as to explicitly include the change in the
total energy of particles: ^{[6]}
where is the
total energy of the kth particle in the field of strong gravitation, is
the radius of the kth particle, is the kinetic energy of the kth particle
in the special theory of relativity, and during interaction the energy of
strong gravitation can be released (or, conversely, be added) which is associated with change
in the radii and masses of particles, as well as the energy of the emerging
electromagnetic and neutrino emission .
According to the substantial neutron model and the substantial proton model, the difference
between neutron and proton besides mass and charge is mainly in the difference
in their internal electromagnetic structure. Thus, in neutron the space charge
separation is assumed, the center of the neutron is positively charged, and the
shell is negative. The rotation of the space charge creates a negative magnetic
moment of neutron, directed opposite to the spin.
To connect the medium pressure and the mass density of
nucleon in the first approximation, we can write down:
where in SI units is the coefficient, found by the
radius of nucleon, its mass and strong gravitational constant. ^{[6]} In the selfconsistent model that takes into
account the density distribution, the rest energy, magnetic moment and the
conditions of limiting rotation, the ratio of the central proton mass density
to its average density is 1.57.^{ [}^{7}^{]}
From the point of view of the
matter state, instead of three quarks and indefinite number of gluons inside
nucleons we expect up to of
smallest particles called praons. According to the theory of Infinite
Hierarchical Nesting of Matter, praons have the same status in nucleons as nucleons
themselves in neutron stars. This explains why in collisions even with highest
energies we observe not gas of quarks and gluons, but jets of almost perfect
liquid hadronic matter. ^{[}^{8}^{]} ^{[}^{9}^{]}
In the above picture de Broglie wavelength of moving nucleons
and other elementary particles can be explained as a consequence of the
relativistic transformation of wavelength of the internal oscillations of the
fundamental fields potentials of the particles in the laboratory frame of
reference.
Deuteron is the simplest nucleus
consisting of two nucleons – proton and neutron. In Figure P2 there are two
examples of modern potential of nuclear force depending on distance , which can be considered equal to the
distance from the center of mass of the system of two nucleons to the center of
one of the nucleons. From internucleon potential, understood as interaction
energy of two nucleons, we can proceed to the force acting on the nucleon,
according to the formula: The graph of this force is shown in
Figure P3 for the potential AV18.
In the gravitational model of
strong interaction the force between nucleons in the first approximation
is presented as the difference between the force of spin repulsion and the magnitude of gravitational force of attraction : ^{[}^{4}^{]}
where is
the gravitational torsion field from one
nucleon, which acts on the effective spin of
the other nucleon, and are the masses of neutron and proton, respectively, is the distance between the centers of
nucleons, is
the coefficient, the estimate of which for the case of two nucleons is as a result of exponential absorption of
gravitons in the matter of nucleons, and for particles of lower density it is .
Spin includes the initial nucleon spin, and the
spin induced by another nucleon by means of gravitational
induction. The formula for the repulsive force of nucleon spins is: ^{[}^{4}^{]}
,
where is
the speed of propagation of gravitational effect (the speed of gravity), which
is close to the speed of light, is
the coefficient depending on the distance of nucleons interaction in the
deuteron.
Since in Figure P3 at fm
the force vanishes, we can estimate the distance
between the surfaces of nucleons: fm. The described state with opposite
nucleon spins has small binding energy of about 69 keV and therefore is
unstable. If we locate nucleons in this state on the plane, the spins of
nucleons will be perpendicular to the plane and opposite to each other.
From Figure P3 we see that
when , that is in nucleons’ contact, the spin
repulsive force from the torsion field is equal to the gravitational force of
attraction. At smaller distances a rapidly growing force of repulsion emerges.
We can assume that the main contribution is made by the magnetic force of repulsion
and the force of internal pressure in the matter of nucleons.
At distances from m to m the force from the torsion field decreases according to the
dependence , where .
If the nucleons (neutron and proton), considered as points were
interacting only by torsion fields from their constant spins, the dependence on
the distance in the formula for the force of spin interaction would have the
form .
However, when two nucleons approach each other in deuteron formation,
additional effects can occur. Firstly, in case of the same direction of spins,
due to the effect of gravitational induction both nucleons will rotate each
other as they approach, with increasing of their spins. Secondly, besides
gravitational forces there are also electromagnetic ones, which are the forces
of repulsion of magnetic moments in deuteron (and the magnitude of magnetic
moments due to various effects can also change as the nucleons approach each
other). All this leads to the fact that in the effective force of
nucleons repulsion the exponent increases up to the values greater than . Thus, from a qualitative point of view,
the gravitational forces of attraction and the forces of spins interaction and
the electromagnetic forces can explain the nuclear forces at short distances.
At distances greater than m the force in Figure P3, built as the sum of the force from internucleon potential and the magnitude of the gravitational force , undergoes a strange kink, with a
significant change in the speed of its decrease with distance. This is due to
the inaccuracy of internucleon potential of the Standard model, according to
which the interaction between nucleons occurs by means of special carriers –
virtual mesons (in Figure P2 the areas are indicated where interactions with
two pions 2π, with mesons ρ, ω, σ, and one meson π are taken into account) .
Until now, the basis for calculation of the potential at these distances is the
Yukawa potential of the following form:
where is
some effective charge of strong interaction, is the mass of the particle – the carrier of interaction, is the Dirac constant.
For the pion the quantity in the exponent is equal to one with m, with masses of heavier mesons the distance decreases. The force from the
Yukawa potential, which has the character of attraction, equals:
At such distances , where , the force decreases slowly enough, in proportion .
This creates a kink in Figure P3 for the force of spins interaction . At the same time, the gravitational
force changes in proportion , that is, faster than the force from the Yukawa potential at the segment m.
If we proceed from the
gravitational and electromagnetic interactions, the formula for the total
energy of interaction between nucleons in the deuteron must include
gravitational energy, the energy of spins and spinorbital gravitational
interactions, the energy of spinspin and spinorbital interaction of the
magnetic moments taking into account the possible effect of electromagnetic induction,
increment of kinetic and rotational energy of nucleons, which may depend on the
distance between the nucleons, due to the interaction of the gravitational and
electromagnetic forces. Almost all of these energies can contribute to the
creation of the effective force between nucleons.
In the deuteron we can assume
that the nucleons are on the common axis of rotation, and the nucleon spins are
directed in one side of the axis. Then, the magnetic moments of the proton and
neutron are opposite, corresponding to the magnetic moment of the deuteron. In
the absence of orbital rotation, the entire spin of the deuteron will consist
of the nucleons spin. Considering only the main components of energies and
forces, in equilibrium, at a small distance between the centers of the nucleons, the
following relations hold:
where is
the proton radius as the measure of the nucleon radius, is the internal energy of the torsion
field in the deuteron per one nucleon, is the internal energy of the torsion field of free nucleon, is the
energy of two spins in the field of each other, or doubled energy of one spin
in the external torsion field from the second spin, is the change in rotational kinetic
energy of nucleons, is the moment of inertia of the nucleon, MeV is the binding energy of the deuteron.
In the presented balance of
forces in the first approximation only the force of gravitational attraction of
nucleons and the force of spins repulsion are taken into account. The solution for the
balance of forces and energies is the value m between the adjacent surfaces of
nucleons. ^{[}^{4}^{]} In this case, the equatorial speed of rotation of the nucleon surface is
about 1.8 times higher than the speed of light, and is the analogue of the
first cosmic velocity, found for planets and stars. The proposition that
nucleons and more massive objects in general can not move faster than the speed
of light, does not refer to the matter of nucleons. The particles of hadron matter inside nucleons
on the average have the speed almost equal to the speed of light.
The analysis of the equilibrium
state of nucleons in the deuteron allows us to formulate the following
conditions for stability of atomic nuclei:
Based on this, the models of
triton (tritium nuclei, a heavy isotope of hydrogen) and of other basic nuclei
– helium and lithium are built. Spinspin forces between nucleons in atomic
nuclei explain the Pauli exclusion principle, according to which identical
fermions that are close, cannot have the same quantum numbers. In particular,
spins of identical nucleons in the presented models of atomic nuclei are in
opposite directions.
It is known that triton turns
into the light helium nucleus with halfdecay period 12.32 years due to beta
decay. This can be presented in the way that the left neutron of the triton in
Figure P4, undergoing beta decay, turns into a proton and moves to the position
taken by the left proton in the nucleus of the light helium in Figure P4. In
this case the direction of the nucleon spin is not changed. For the motion of
the nucleon it needs momentum which arises from the emission of electron
antineutrino in beta decay of the neutron. As it is shown in the substantial neutron model, antineutrino
flies toward the spin of the decaying neutron and pushes the neutron in the
opposite direction.
With the help of the expression
for the gravitational energy we can qualitatively show the need for the growth
of specific nuclear binding energy (binding energy per nucleon) with growth of
the mass of the nucleus. Since in the atomic nucleus the nucleon density only
slightly depends on the number of nucleons, it means the approximate equality of
volumes per one nucleon in different nuclei. It is usually assumed that the
average distance between nucleons in nuclei is of the order of m. If we denote the total binding
energy of the nucleus by , with a small number of nucleons this
energy must be proportional to the gravitational energy of all the nucleons of the nucleus in the field of strong gravitation.
If the nucleus consists of nucleons, the nuclear mass is ,
the volume per one nucleon is equal to ,
the volume of the nucleus is , then the nucleus radius will be proportional to . Hence the specific binding energy and
the specific gravitational energy will be proportional to the quantity:
The dependence of the specific
binding energy on the number of nucleons in the nucleus as in
general is confirmed: if for the deuteron it is equal to 1.1 MeV/nucleon, then
for the nuclei with the specific binding energy is equal to 8
MeV/nucleon. With further increase of the specific binding energy reaches the value
of 8.7 MeV/nucleon, and then slowly decreases (approximately up to about 7.6
MeV/nucleon for the nucleus of uranium). Such a dependence is explained by the
growing influence of the electrical energy of protons repulsion with the growth
of , which reduces
the binding energy. In addition, from the Le Sage’s theory of gravitation the
saturation effect of strong gravitational energy follows with .^{[}^{4}^{]} As a consequence of this effect in case of further increase in the mass of
the nucleus the nucleons added to the nucleus will have the same energy, and
the potential of the gravitational field remains almost unchanged. The
gravitational pressure in the nucleus is fixed and stops growing,
correspondingly, the average distances between the nucleons stop changing too.
This result is consistent with the fact that with the maximum of the specific binding energy of
atomic nuclei is reached.
All hadrons, including mesons and
baryons, can be divided into three groups. The first group includes the
simplest quasistable hadrons like pions and nucleons, having long lifetime.
These hadrons can be considered as independent particles experiencing decay due
to weak interaction (except for stable proton). The second group consists of
longlived strange, charmed and beautiful particles, and the third group
includes resonances, whose lifetime is almost equal to the time of particles’
transit near each other at their close interaction. As shown in the model of quark quasiparticles, strange
particles can be represented as composite hadrons of simple hadrons of the
first group. ^{[6]} For example, hyperon Λ is
assumed to consist of proton and pion rapidly rotating next to each other along
one axis, held by strong gravitation and spin torsion fields. In calculating
the equilibrium conditions, the equations for the forces and energies are used,
similar to those presented above for the deuteron.
Hypothetical composition of other
strange hadrons is as follows: hyperon Σ
is a compound of neutron with pion; Ξ includes proton and two pions;
three or four pions with proton make up Ωbaryon. Kmesons are compounds of
three pions and have the following compositions:
Different combinations of pions
in neutral kaon can explain different lifetimes of and states. In contrast to atomic nuclei, compounds of nucleons and pions (or
pions with each other) can not be stable, and over time they disintegrate. The
same applies to charmed and beautiful hadrons.
There are many works in which
resonances are presented not as interactions of quarks but as dynamically bound
shortlived states of simpler hadrons. For example, hyperon Λ(1405) is
considered as dynamic bound state of nucleon and kaon, ^{[1}^{2}^{]} and scalar mesons f(980) and a(980) are considered as a molecule of kaon
and antikaon. ^{[1}^{3}^{]} Hadronic molecules of kaon, antikaon and nucleon are discussed in ^{[1}^{4}^{]} by solving the Schrödinger equation for
the wave function of three particles and using two interaction potentials
assumed in the model. There are strong proofs that many resonant states N, Δ,
Λ, Σ, Ξ, Ω are dynamically bound states
of vector mesons (of ρ and ω type) with baryons belonging to baryon octet with
nucleons and to decuplet with Δ. ^{[1}^{5}^{]}
In gravitational model of strong
interaction masses as well as charges of elementary particles are explained by
the properties and the structure of particles’ matter, and by the action of strong
gravitation and electromagnetic forces in this matter. Under the action of
these forces ordering of matter particle takes place, and this matter has the
ability to transform slowly in reactions of weak interaction. Thus weak
interaction at the level of elementary particles is reduced again to weak
interaction, but at the level of minute particles that make up the matter of
elementary particles.
The examples of description of
reactions of weak interaction in the matter of elementary
particles are shown in the model of quark
quasiparticles, in the substantial
neutron model and in the substantial
proton model. In particular it is shown that neutrinos of one basic level
of matter are twocomponent and consist of fluxes of electron neutrinos and
antineutrinos of the lower basic level of matter.
This means that weak interaction
can be explained not with the help of special field quanta of the type of W and
Z bosons, but represent as the property of matter to change naturally in
conditions of maximum possible density of matter and energy. Thus, it is expected that during the time of the order of 2•10^{15}
years neutron stars must undergo decay, with formation of magnetars and
ejection of negatively charged shells (similarly to neutrons decomposing with
formation of protons, electrons and electron antineutrinos).
Main source: Coupling
constant
To compare gravitational, weak,
electromagnetic and strong interactions the energies of corresponding forces
are usually considered, acting on proton matter taking into account its mass and charge, in the field of other proton. For
energies we can write down:
where is
the gravitational constant, is
the proton mass, is the distance between the centers of
protons, is
Fermi constant of weak interaction, is the speed of light, is
the mass of virtual W or Z boson, which is considered the carrier of weak interaction, is
the proton charge, equal to the elementary charge, is
the vacuum permittivity, is
the charge of strong interaction, is
the mass of virtual particle (mostly pion), which is supposed carrier of strong
interaction.
The expressions for the
corresponding coupling constants follow from the relations for the energy:
The coupling constant of
electromagnetic interaction is
called the fine structure constant. The
charge of strong interaction and the Fermi constant are axiomatically introduced into the Standard theory to describe the
experimental results. If we proceed from the notion of strong gravitation, the
interaction energy of two nucleons and the coupling constant will equal: ^{[6]}
where is
the strong gravitational constant, for the case of two nucleons.
This shows that the coupling
constant of
strong gravitation is of the same order of magnitude as the coupling constant of strong interaction. In atomic nuclei the equilibrium of nucleons is
achieved due to attraction from the strong gravitational field and repulsion
from gravitational torsion fields, and the coupling constants of both
components of the gravitational field (gravitational
field strength of strong gravitation
and gravitational torsion field ) are
leveled in magnitude.
In the Standard model the gauge
approach of quantum field theory is used, when for each type of interaction (gravitational,
electromagnetic, weak and strong) their own fields and gauge bosonsquanta,
that carry the interaction, are introduced. Gravitons, photons, W and Z bosons,
gluons, and particles such as Higgs boson appear this way. At present, weak and
electromagnetic interactions of elementary particles, despite their significant
differences, are discussed by electroweak theory based on the unified
mathematical formalism. In future it is planned to add in the common scheme
strong (Grand Unified Theory) and gravitational interaction (theory of
everything).
The disadvantage of this approach
is its focus only on description of the observed processes, without penetration
into the essence of phenomena. So far, there are no specific mechanisms that
explain how the forces of attraction or repulsion between particles emerge due
to the action of any gauge bosons, such as photons. There is a gap between the
facts that single accelerated charges generate real electromagnetic emission
that transfers energy and theoretically is considered as a set of photons or
partial waves, and there is no such emission near fixed charges although the
adjacent charges somehow interact with each other. To create a unified picture
it is necessary that photons could explain not only free electromagnetic
emission but also the static electromagnetic field. However, in case of purely
electrostatic and magnetostatic fields there are no electromagnetic energy
fluxes, the Poynting vector at each point is zero, and thus the possible
direction of the motion of photons can not be determined. Introducing into the
theory the idea of virtual particles does not help, because interactions with
virtual photons, gluons, W and Z bosons, quarkantiquark pairs,
electronpositron fields, etc. can not be considered as the ultimate solution.
As shown above, strong
interaction at the level of elementary particles can be reduced to the action
of strong gravitation and spin gravitational forces from torsion fields, with
addition from electromagnetic forces. The same forces and the corresponding
interaction will be at the level of the stars, with substitution of strong
gravitation by ordinary gravitation. It is considered that gravitation at the
macro level in general must be described by relativistic theories such as general
theory of relativity (GTR) or covariant
theory of gravitation (CTG). But in GTR gravitation is reduced to curvature
of spacetime and is not a physical force, whereas in CTG the cause of
gravitational force is assumed the action of gravitons, considered in Le Sage’s
theory of gravitation. Gravitons act on the matter regardless of the number and density of this matter and the effects of general relativity emerging in strong fields near
massive bodies, such as the effect of time dilation, are reduced to the
influence of gravitons on the properties of electromagnetic waves (photons)
used for measurements. The latter means the dependence of the results of
measurements of length and time on the measurement procedure by means of light
signals, with the constant picture of interaction of gravitons with matter. In this case, the effects of GTR, including the
hypothetical black holes, are external, and do not reflect the real essence of
gravitational interaction.
In the weak fields, where the
dependence on the measurement procedure can be neglected, GTR turns to gravitoelectromagnetism and CTG – to Lorentzinvariant theory of gravitation (LITG).
It turns out that in LITG and in gravitoelectromagnetism the equations of
gravitational field are almost
exactly the same and are
similar in form to the equations of the electromagnetic field in
electrodynamics, which is emphasized in Maxwelllike
gravitational equations. Apparently, the similarity of equations for both
fields is not accidental. Relationship between electromagnetism and gravitation
may be that part of
gravitons are photons emitted by charged praons – the carriers of matter, from which the matter can be formed, which is part of the matter of elementary particles. ^{[6]}
Representation of gravitons in
the form of photons was used to represent the formula of the gravitational
force, as a result of Compton scattering of photons in matter. ^{[1}^{6}^{]} On the other hand, emission of energy of supernovae in the formation of
neutron stars is almost entirely realized through neutrino emission, and not in
the form of expected gravitational waves. That, and the similar penetrating
ability of particles give the reason to assume that neutrinos of one level of
matter are gravitational quanta or gravitons of higher levels of matter.
Comparison of the energy density of neutrino emission in supernova and the
similar neutrino emission from the matter of the neutron
which is formed, taking into account the coefficients of similarity in the
theory of similarity of matter levels,
shows that the gravitons of ordinary gravitation can be neutrinos generated by matter, the carriers of which correspond to elementary
particles in the same way as elementary particles correspond to stars, or can
be smaller by one basic level of matter. ^{[6]} If gravitons are both photons and
neutrinos, then there is may be the case when the neutrino is a type of
electromagnetic radiation.
The difference between photon and neutrino is that neutrino is twocomponent
emission with opposite polarization of the components. In this case, photon and
neutrino are composed of the corresponding fluxes of tiny quanta of emission.
In the above picture
electromagnetic and gravitational fields are fundamental and similar to each
other in the form of equations for the field and the acting forces, and in the
origin. For example, gravitational quanta of one level of matter are able to
compress the matter into massive objects of higher level of
matter up to such density that as a result emission of new, more powerful
gravitational and electromagnetic quanta is possible, as well as emission of
charged particles such as cosmic rays. After that, the emerged relativistic
particles, neutrinos and photons interact in a similar way with the matter of higher levels of matter, and so the process
goes on. At the same time, there is a reverse process of energy dissipation and
splitting of quanta. Adding to the fluxes of gravitons by Le Sage’s model the
fluxes of charged particles of different signs allows us not only to derive the
Newton’s formula of gravitation and to explain the origin of gravitational
force, but also to understand the origin of the electrostatic force between two
charges. ^{[}^{17}^{]} ^{[}^{2}^{]} ^{[}^{18}^{]} Strong and weak interactions by their nature are not fundamental field interactions,
characteristic of each object separately. This is due to the fact that the
first of them depends on the combination of fundamental fields in the
interaction of objects with each other, and the second – on the interaction of
internal fields in the matter of objects with the total gravitational
and electromagnetic fields of these objects, or with external emission, leading
to matter transformation.
It was shown that the electromagnetic and gravitational fields, acceleration
field, pressure
field, dissipation field, strong
interaction field, weak interaction field, and other vector fields acting on
the matter and its particles, are the components of general
field. ^{[1}^{9]}
