In the work of A. Einstein, M. Grossman. The project of the generalized theory of relativity and the theory of gravitation. Einstein wrote that "These equations satisfy the requirement, in our opinion, obligatory for the relativistic theory of gravity, namely, they show that the tensor of the gravitational field is the source of the field along with the tensor of material systems." The exclusive position of the energy of the gravitational field in comparison with All other types of energy would lead to unacceptable consequences "
In the Einstein equation (1916) this requirement is not fulfilled. However, the overwhelming success of the theory made this principle forget. In modern works this fact is almost not mentioned. Only Landau and Lifshitz (v. 2, Field Theory, § 95. The Einstein equations) noted: "Gravitational interaction plays a role only for bodies with large mass (because of the smallness of the gravitational constant), and therefore in studying the gravitational Field we usually have to deal with macroscopic bodies Corresponding to this we must usually write for Tik the expression (94.9). "
I went through the path of Einstein (1907-1918). But my results do not coincide with the results of Einstein. As a result, I found that it is not necessary to use another Equation as the field equation.
In the solution of the Schwarzschild problem, the horizon disappears and all this fits into the experimental data. A second solution appears with an ejecting field, without matter, only a field with negative energy.
That's the problem of unification on which Einstein worked up to his death. But it is only a question of aesthetic, Einstein thought that the momentum-energy tensor should arise from the gravitational field. He himself came up with two unified theories with the electromagnetism (akin to Kaluza-Klein) but failed to incorporate matter.
I'm only talking about classical GTR. Many problems can be solved by completing the theory. Do not go beyond it.
If my opinion interests me, then I think that electrodynamics was that initial point with bark, a special relativity, then the general theory of relativity, began. In a sense, such unification has already happened.
I have an article showing that the paradoxical problem of 4/3 is solved only by the joint application of electrodynamics and special relativity.
The negative gravitational energy Egrav reduces the mass M of a gravitating object by Egrav/c^2. If the escape velocity V is much less than c, then if Mo is the object's mass neglecting gravity, then, approximately, Egrav = -MoV^2/2 and M = Mo(1 - V^2/2c^2). The object interacts gravitationally as if its mass is M, not as if its mass is Mo.
Dear Valery,
"The exclusive position of the energy of the gravitational field in comparison with All other types of energy would lead to unacceptable consequences"
this is it. The EEP which expels locally the gravitational energy has not acceptable consequences for non stationary motion.
"I'm only talking about classical GTR. Many problems can be solved by completing the theory. Do not go beyond it."
We can take some significative concepts out of GRT like the energy stress tensor, a (metric) background which is affected by matter and determines the gravitational property of the background. The theory is valid for sure for Optics (lensing and Shapiro) and for measuring clock retardation but in general should be rewritten on a different basis.
"Gravitational interaction plays a role only for bodies with large mass (because of the smallness of the gravitational constant), and therefore in studying the gravitational Field we usually have to deal with macroscopic bodies Corresponding to this we must usually write for Tik the expression (94.9)."
this is a fact regarding the approximations used.... and in this correct view (which was not the intention of LANDAU) it is clear also that GR is just an approximation of a much more poweful theory.
At the base of all the questions there are experiments not performed about the validity of the EEP which is really at the base of GR and is the responsible of the Curvature of the space-time.
The experiments so far performed about free falling particles are useless and trivial. The accelerated motion experiments with clocks which are the at the base of the connection between relativistic dynamics and gravitation have not been performed yet.
Article The incompatibility of Einstein EP with the local Gravitatio...
Einstein saw no problem whatever in pure gravitational field theory, what are you after?
To Jack Denur
The project was complete. But this is the project.
The main was mastered the apparatus of the theory - the method of absolute differentiation. The equation of motion (the equation of geodesics) was found.
Problems arose with the field equation. The left-hand side of the equation was not defined. The attempt to include a member of the investor for the eneprise failed then. It was not a success today. My opinion this equation is not solvable. In both sides of the equation there are functions of the metric, and it is not known.
Dear Stefano.
"The theory is valid for sure for Optics (lensing and Shapiro) and for measuring clock retardation but in general should be rewritten on a different basis."
I do not see the need for this, it is a generally flawless theory. The problem is the same as in 1913 Einstein's equation does not satisfy us. This prevents us from disclosing the possibilities of the GR completely.
"This is a fact about the approximations used .... and in this correct view (which was not the intention of LANDAU) it is clear also that GR is just an approximation of a much more poweful theory."
Undoubtedly. But I have not set such a task so far. It is possible and necessary to correct what is. Much has already been accomplished. It is surprising that the theory has not become complicated, and now it is possible to understand it only with general ideas about GR.
"The experiments are so far performed about free falling particles are useless and trivial."
The accelerated motion experiments with clocks, which are the at the base of the connection between relativistic dynamics and gravitation.
I consider the possibility of experiments with accelerated electrons. The magnitude of the acceleration in small accelerations is comparable with the acceleration on the surface of large neutron stars.
My work is progressing well and successfully. I'm not afraid to make mistakes and do them, and I correct them. If you watch my work, keep this in mind.
to Claude Pierre Massé
"Einstein saw no problem whatever in pure gravitational field theory, what are you after?"
Perhaps you are not familiar with the work of Einstein. He constantly doubted. Often mistaken. Some of its results have gone unnoticed or not understood. I'm in some ways a fan of Einstein, but he was a man of incredible working capacity and sometimes contradicted himself. Taking Schwarzschild's decision, he did not believe in the existence of black holes. He was troubled by the energy gains of the gravitational field.
Within the framework of the GR I achieved more than I expected. Problems troubled Einstein and others solved. There is luck. Only the details remained.
I want to go further.
I'm perfectly well familiar with Einstein's work. The left hand side was perfectly well defined, he called it the marble part. It's a lost of time to try and help you.
But at first it was the Ricci tensor (1913, Einstein designated it G_ij). Now there are no problems with the left part. There's nothing to do here. In any leadership this is proved.
"No problem" is the words Einstein never uttered. Because solving one problem gave rise to a dozen new ones.
I have no complaints about the left side. These problems are solved long ago and finally.
The lambda member does not make any sense, but it pleases those who have made it their own work. But even this is not interesting.
The GTR version
In the paper, there was found the metric of the homogeneous gravitational field. It was shown that a continuous field limited by a small volume is homogeneous and (within the same limits) has a metrical tensor of homogeneous field. Based on this result, general form of a metrical tensor of a gravitational field has been obtained. This allows using generally covariant Nordstrom equation as the field equation of the general relativity theory. There was given consideration to solutions of spherically symmetric stationary solutions of the gravitational field equation. One of the solutions corresponds to the Schwarzschild solution and to the same extent it is confirmed by known empiric data; however it has no peculiarities close to gravitational radius. Another solution exists in empty space and represents a field of “gravity” forces orientated outwards. In this case, a role of the “dark energy” is played by the negative energy density of the gravitational field. Sizes of this object are in proportion to absolute value of the field energy and are limited with nothing. It is assumed to be that exactly such solutions bear responsibility for the Universe large-scale structure in whole and the Universe visible part in particular. Key words: homogeneous field, general relativity theory, metrical tensor, equation of gravitational field, accurate solutions, spherically symmetric fields, energy-momentum tensor of field, non-homogeneousness of Universe, dark energy, astrophysics.
Underlying principles of general relativity theory. New equations of gravitational. Available from: https://www.researchgate.net/publication/313531631_Underlying_principles_of_general_relativity_theory_New_equations_of_gravitational?ev=prf_high [accessed Apr 14, 2017].
Preprint Underlying principles of general relativity theory. New equa...
In my analysis, I found that both General Relativity and Quantum mechanics are perturbative theories. This is the reason they do not unite. So I developed two parallel theories (given below) which retain all the good things about General relativity and quantum mechanics plus they are non-perturbative and therefore their unification gives me the desired quantum gravity theory. In periodic relativity a new invariant is proposed in which the special relativity invariant appear as the special case and time has a periodic nature (quantized). This theory does not utilise weak field approximation. It gives the correct values for gravitational redshift, deflection of light and the perihelic
precession of the planets. In this theory, gravitational mass is equal to the relativistic mass (not inertial mass). The difference between the two theories show up in the strong field regime where the radius of the event horizon of black hole in periodic relativity is half the value of the Schwarszchild radius.On the quantum mechanics side, Schrodinger formalism is improved to yield exactly the same energy levels of hydrogen atom as in Dirac's theory. This is done by introducing spin operator directly into the Laplacian plus the relativistic treatment. This yeilds exactly the same formula as in Dirac's theory. Resulting periodic quantum gravity theory is the only theory that yields entire table of standard model particles from a single formula.
http://ptep-online.com/index_files/2015/PP-40-11.PDF
Article Periodic relativity: Basic framework of the theory
Article Quarkonium and hydrogen spectra with spin-dependent relativi...
Article Periodic quantum gravity and cosmology
To Vikram Zaveri
Interestingly, I'll look a little later
In this theory, gravitational mass is equal to the relativistic mass (not inertial mass).
I do not think this is a good idea. This destroys the principle of relativity.
The difference between the two theories show up in the strong field regime where the radius of the event horizon of black hole in periodic relativity is half the value of the Schwarszchild radius.
I obtained a similar result from the Newtonian approximation. But this approximation
Preprint Energy-momentum tensor of gravitational field and approximat...
The horizon is a defect in general relativity. In theory there should not be non-physical features. It seems to me it was possible to correct it.
To Valery Borisovich Morozov,
I do not think this is a good idea. This destroys the principle of relativity.
This idea is mathematically supported throughout my theory. It is the
weak field approximation that destroys the principle of relativity.
I obtained a similar result from the Newtonian approximation. But this approximation
My theory does not obtain this result from approximation. It is a non perturbative theory. Same theory also gives gravitational redshift of light, bending of light around the sun and the perihelic precession of planets. Newton's approximation cannot give these results.
Good luck with your theory.
To Vikram Zaveri
Very well if you understand that a modification of the Newtonian theory will not lead to serious results. My example with the modification shows only that taking into account the field energy leads to reasonable results. And any theory must take this energy into account.
I do not think that destruction will lead to serious results. I build a theory of gravity on the foundation of general relativity. These are tested: the principle of relativity, the principle of equivalence, the principle of conformity ...
In the contemporary interpretation of general relativity, the field energy is excluded from the equation of the gravitational field.
In the new version of GR:
1. A general covariant equation for a metric contains fewer unknowns. In the static case this is one unknown.
2. The solution has a nonzero energy-momentum-tension tensor.
3. In weak fields, the solutions coincide with the solutions of the old version of general relativity.
4. New solutions appeared that describe gravitational interactions on large scales, with the force of "gravity", the pushing substance.
Yours faithfully Valery Morozov
To Valery Borisovich Morozov,
" Another solution exists in empty space and represents a field of “gravity” forces orientated outwards. In this case, a role of the “dark energy” is played by the negative energy density of the gravitational field. "
This comment is ambiguous. In GR negative energy is attributed to the space-time fabric. So the gravitational attraction and the negative energy are interrelated. Now you say that negative energy causes gravitational repulsion and all dark energy (70% of the total energy) is negative energy. This will conflict with Einstein's cosmological constant which is associated with positive dark energy. So what role Friedmann eqauations play in your theory?
To Vikram Zaveri
"In GR negative energy is attributed to the space-time fabric. So the gravitational attraction and the negative energy are interrelated."
Quite right. Not only in GR, but also in Newtonian theory.
I did not introduce a cosmological constant and do not see the need to do this. In addition, Einstein's equation is not an equation for the gravitational field. This role is played by the Nordstrom equation.
Both the equation and its solution now look very simple. So the equation of gravitational waves in a vacuum reduces to a modified wave equation.
Yours faithfully Valery Morozov
Dear Valery Morozov
You are an expert in GR and SR.
What does the velocity v means in v^2 /c^2 , all velocities are relative and there are no absolut velocity.
You are not able to measure the velocity in a a close inertial system , only acceleration.
Maybe it means the velocity is what is but we dont know how and why.
I think it maybe is connected to space structure and the Higgs Field ?
Kurt Wraae
Dear Kurt Wraae
The acceleration depends on the system, as well as speed. But at a point whose velocity is zero, one can measure the acceleration, the self-acceleration.
The theory of relativity is not yet connected with the theory of elementary particles. There are no answers to all questions yet. And questions arise faster than answers.
Yours faithfully Valery Morozov
Dear Valery Morozov
Thank You for Your answer.
Try to replace velocity with an energy terms, You will get surprising results.
You know me already, I do believe everything is a matter of energy.
Have a nice day
Kurt Wraae
To Valery Borisovich Morozov,
Is your modified GR theory able to lead you to the desired quantum gravity theory?
How do you explain the Big Bang cosmology in your theory?
Vikram Zaveri
We dont have any informations about what did happen in the periode between zero and 380 000 years after BB . The beginning of the cosmic background radiation .
All descriptions are pure theory , but maybe right who knows.
Most importen question is what did happen with the symmetry in the Vacuum which created the beginning of gravitation and the inflation .
The theory says it did happen about 10^-43 sec.
The inflation is the space itself.
Kurt Wraae
In GR, a new type of solution is obtained. This is a region of space with a gravitational pulling substance. In this case, energy and matter and the energy of the field increase, but they have different signs and the total energy is preserved. Such an object can grow unlimitedly. One or several of these "bubbles" are responsible for the dispersal of gallakik. And the formation of inhomogeneities in the universe. In this case, the expansion rate can increase.
Such objects are constantly arising now. We see them.
http://vistanews.ru/uploads/posts/2016-12/1482601005_puz.jpg
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