Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Albert Einstein: " Extra-spatial structures are necessary for the further development of physics "

Субхон Джомирзоев

Published May 15, 2025• 0 citations
Publisher

Abstract

After unsuccessful arguments with N.Bohr about the incompleteness of the non-relativistic electron (NE) created by Schrödinger in wave quantum mechanics (WQM), Einstein said: " I am more and more inclined do think that extra-spatial structures are necessary for the further development of physics ". And the extra-spatial structures predicted by Einstein had to be constants, since only constants were independent of the space-time continuum. Therefore, it was necessary to find an answer to the question: " How can constants be used as extra-spatial structures for the further development of physics?" The answer this question arose naturally when we managed to find out that Planck’s constant and other constants associated with it are the proper corpuscular-wave (CW) quantities of microparticles. At the same time, the newly discovered extra-spatial CW quantities of microparticles, being constants, turned out to be extra-spatial structures in relation to the Euclidean, Minkowski and Klein-Gordon spaces. In addition it turned out that our newly discovered extra-spatial CW quantities of microparticles inside the space of Euclidean, Minkowski and Klein-Gordon appear in the form of corpuscular, mixed and wave quantities of microparticles that are generally known to this day. Moreover, the emergence within spatial corpuscular quantities from extra-spatial CW quantities made it possible to understand that the corpuscular quantities of Newton’s corpuscular classical mechanics (CCM), which were considered the principles of physics, are not in fact the principles of physics. It turned out that the WQM of a NE created by Schrödinger is an incomplete version of the corpuscular-wave mechanics (CWM) of a NE. No matter discover the extra-spatial predicted by Einstein necessary for the further development of physics in the form of extra-spatial proper CW quantities and the CWM of real objects of Nature.

DOI
10.24108/preprints-3113563

Related papers

How the discovery of the physical meaning of Planck’s constant made it possible to clarify the connections between classical and quantum mechanics and corpuscular-wave mechanics

Субхон Джомирзоев

In its physical meaning, Planck’s constant turned out to be one of the corpuscular-wave quantities (CWQ) of microparticles. In turn, the newly discovered CWQ turned out to be quantities of corpuscular-wave mechanics (CWM), just as corpuscular quantities are quantities of the Newton’s corpuscular classical mechanics (CCM). At the same time, Schrödinger’s wave quantum mechanics (WQM) turned out to be in fact incomplete part of the CWM of non-relativistic electron (NE), and Newton's CCM itself turned out to be derived from the CWM macroscopic body (MB). Thus, to our great surprise, the CWM of a NE turned out to be more general form of Schrödinger’s WQM, and the CWM of a MB turned out to be more general form of Newton’s CCM. In this regard, just Abel discovered the multiplicity of algebras, and Lobachevsky discovered the multiplicity of geometries, similar to them, we encountered the multiplicity of the mechanics of physics.

•Mar 7, 2025•0 citations

Schrödinger’s wave quantum mechanics is actually the corpuscular-wave mechanics of a non-relativistic electron.

Субхон Джомирзоев

The hundred and fifty years ago, I.Newton, in his corpuscular classic mechanics (CCM), introduced mass as an initial quantity, and, an its basis, defined other corpuscular quantities of CCM. And a hundred years ago, the corpuscular-wave properties of microparticles testified to the inherent corpuscular-wave quantities (CWQ), which as the initial value had the product of mass and wavelength. Accordingly, just as Newton’s CCM was based on corpuscular quantities, corpuscular-wave mechanics (CWM) should have been based on CWQ in the same way. But a hundred years ago, Plank’s and Einstein, to describe the corpuscular-wave properties of the photon, used hybrid of corpuscular quantities Newton’s CCM and wave quantities of wave optics, which a priori, by their definition, were insufficient to describe the CWQ of the photon. Subsequently, de Broglie and Schrödinger applied the method of Planck and Einstein to the case of a non-relativistic electron (NE), and obtained wave quantum mechanics (WQM). But the WQM he obtained turned out to be a real puzzle, and now, a hundred years later, l was able to discover that in reality WQM is an incomplete version of the CWM NE. The campaign managed to find out that Newton’s CCM arises in the form of a special case of the CWM macroscopic body. In this regard, now, l seem to be a Tajikistan physicist who discovered CWQ and CWM physics.

•Feb 7, 2025•0 citations

Proof of the incompleteness of wave quantum mechanics. Second part.

Субхон Джомирзоев

As a result of identifying the corpuscular-wave quantities (CWQ) of a non-relativistic electron (NE) as quantities associated with the equation of motion of wave quantum mechanics (WQM),it was discovered that WQM in reality is corpuscular-wave mechanics (CWM)and the fundamental differences between WQM and classical Newtonian mechanics (CNM) were established, and also, the possibility of creating analogies of WQM and CNM is indicated.

•Dec 27, 2024•0 citations

To Principles of Quantum Mechanics Development

Dmitri Yerchuck, Alla Dovlatova, F. N. Borovik +2 more

New insight on the principles of the quantum physics development is given. The quite different behavior of quantum microworld mechanical systems in comparison with classical mechanical macroworld systems is attributed to the drastical change of the role of the gravitation field on the dynamics of microworld mechanical systems, for which it seems to be vanishing in com- parison with the role of the gravitation field on the dynamics of macroworld mechanical systems, for which it is decisive. The conclusion on the status of the second main postulate of quantum mechanics is given. Its formulation in all textbooks has to be represented in the form of the proved statement, since the hypothesis of Schrödinger on the existence of the field scalar function, being to be observable quantity, just charge density, is strictly mathematically proved. It is shown, that the field scalar function, being to be the solution of the corresponding nonstationary in general case Schrödinger equation and being to be the function the only of coordinates and time, actually describes the state of the atomic system, more strictly its corpuscular aspect. The atomic system is considered from the positions of the field theory, that is, it is the association of elementary particles with corresponding fields. The given fields being to be the media for the particles’ propagation are responsible for the wave aspect in the characteristic of atomic systems. The wave aspect is described by the independent scalar wave-function which was also introduced in quantum physics by Schrödinger, althogh the given fact seems to be unknown to the wide circle of the readers. The second main postulate being to be mathematically strictly grounded in Schrödinger formulation of quantum nechanics, in the popular probabilistic form of quantum nechanics cannot be proved for the general case, although the probabilistic theatise, proposed by Born is true in a number of special cases, quite correctly indicated by Dirac. The possible ways of the development of quantum theory, based on clear understanding of the origin of corpuscular-wave dualism and based on the fundamental both now mathemtically grounded main postulates are analysed.

arXiv:1407.2603•International Journal of Physics•Sep 5, 2014•1 citation

Proof of the incompleteness of wave quantum mechanics

Субхон Джомирзоев

The first paragraph shows the incompleteness of the formulas proposed by de Broglie for the corpuscular-wave duality (CWD) of a nonrelativistic electron (NE) and in the second paragraph the full CWD of a NE is shown and the deducibility of corpuscular and wave quantities from more general quantities is indicated.

•Dec 25, 2024•1 citation

Interlude of Physics I: Quantum Mechanics

Franco Battaglia, Thomas F. George

At the beginning of last century, the Universe was considered to be constituted of matter and radiation. The second component of the Universe according to classical physics—radiation—is nothing but propagating electromagnetic waves. The dynamics of a particle was supposed to obey Newton's equation. For a given a field, that is, a physical quantity defined at each point of a region of space, it might be useful to have physical quantities describing the spatial variations of the field. Stationary Schrodinger Equation also known as time-independent Schrodinger equation, and its solutions give the allowed energy values of the system. Energy quantization is a consequence of the space confinement of the particle within a limited volume or, more precisely, due to the fact that the wavefunction probability density tends to zero as the spatial coordinates tend to infinity.

CRC Press eBooks•Sep 3, 2018•0 citations
After unsuccessful arguments with N.Bohr about the incompleteness of the non-relativistic electron (NE) created by Schrödinger in wave quantum mechanics (WQM), Einstein said: " I am more and more inclined do think that extra-spatial structures are necessary for the further development of physics ". And the extra-spatial structures predicted by Einstein had to be constants, since only constants were independent of the space-time continuum. Therefore, it was necessary to find an answer to the question: " How can constants be used as extra-spatial structures for the further development of physics?" The answer this question arose naturally when we managed to find out that Planck’s constant and other constants associated with it are the proper corpuscular-wave (CW) quantities of microparticles. At the same time, the newly discovered extra-spatial CW quantities of microparticles, being constants, turned out to be extra-spatial structures in relation to the Euclidean, Minkowski and Klein-Gordon spaces. In addition it turned out that our newly discovered extra-spatial CW quantities of microparticles inside the space of Euclidean, Minkowski and Klein-Gordon appear in the form of corpuscular, mixed and wave quantities of microparticles that are generally known to this day. Moreover, the emergence within spatial corpuscular quantities from extra-spatial CW quantities made it possible to understand that the corpuscular quantities of Newton’s corpuscular classical mechanics (CCM), which were considered the principles of physics, are not in fact the principles of physics. It turned out that the WQM of a NE created by Schrödinger is an incomplete version of the corpuscular-wave mechanics (CWM) of a NE. No matter discover the extra-spatial predicted by Einstein necessary for the further development of physics in the form of extra-spatial proper CW quantities and the CWM of real objects of Nature.
In its physical meaning, Planck’s constant turned out to be one of the corpuscular-wave quantities (CWQ) of microparticles. In turn, the newly discovered CWQ turned out to be quantities of corpuscular-wave mechanics (CWM), just as corpuscular quantities are quantities of the Newton’s corpuscular classical mechanics (CCM). At the same time, Schrödinger’s wave quantum mechanics (WQM) turned out to be in fact incomplete part of the CWM of non-relativistic electron (NE), and Newton's CCM itself turned out to be derived from the CWM macroscopic body (MB). Thus, to our great surprise, the CWM of a NE turned out to be more general form of Schrödinger’s WQM, and the CWM of a MB turned out to be more general form of Newton’s CCM. In this regard, just Abel discovered the multiplicity of algebras, and Lobachevsky discovered the multiplicity of geometries, similar to them, we encountered the multiplicity of the mechanics of physics.
The hundred and fifty years ago, I.Newton, in his corpuscular classic mechanics (CCM), introduced mass as an initial quantity, and, an its basis, defined other corpuscular quantities of CCM. And a hundred years ago, the corpuscular-wave properties of microparticles testified to the inherent corpuscular-wave quantities (CWQ), which as the initial value had the product of mass and wavelength. Accordingly, just as Newton’s CCM was based on corpuscular quantities, corpuscular-wave mechanics (CWM) should have been based on CWQ in the same way. But a hundred years ago, Plank’s and Einstein, to describe the corpuscular-wave properties of the photon, used hybrid of corpuscular quantities Newton’s CCM and wave quantities of wave optics, which a priori, by their definition, were insufficient to describe the CWQ of the photon. Subsequently, de Broglie and Schrödinger applied the method of Planck and Einstein to the case of a non-relativistic electron (NE), and obtained wave quantum mechanics (WQM). But the WQM he obtained turned out to be a real puzzle, and now, a hundred years later, l was able to discover that in reality WQM is an incomplete version of the CWM NE. The campaign managed to find out that Newton’s CCM arises in the form of a special case of the CWM macroscopic body. In this regard, now, l seem to be a Tajikistan physicist who discovered CWQ and CWM physics.
New insight on the principles of the quantum physics development is given. The quite different behavior of quantum microworld mechanical systems in comparison with classical mechanical macroworld systems is attributed to the drastical change of the role of the gravitation field on the dynamics of microworld mechanical systems, for which it seems to be vanishing in com- parison with the role of the gravitation field on the dynamics of macroworld mechanical systems, for which it is decisive. The conclusion on the status of the second main postulate of quantum mechanics is given. Its formulation in all textbooks has to be represented in the form of the proved statement, since the hypothesis of Schrödinger on the existence of the field scalar function, being to be observable quantity, just charge density, is strictly mathematically proved. It is shown, that the field scalar function, being to be the solution of the corresponding nonstationary in general case Schrödinger equation and being to be the function the only of coordinates and time, actually describes the state of the atomic system, more strictly its corpuscular aspect. The atomic system is considered from the positions of the field theory, that is, it is the association of elementary particles with corresponding fields. The given fields being to be the media for the particles’ propagation are responsible for the wave aspect in the characteristic of atomic systems. The wave aspect is described by the independent scalar wave-function which was also introduced in quantum physics by Schrödinger, althogh the given fact seems to be unknown to the wide circle of the readers. The second main postulate being to be mathematically strictly grounded in Schrödinger formulation of quantum nechanics, in the popular probabilistic form of quantum nechanics cannot be proved for the general case, although the probabilistic theatise, proposed by Born is true in a number of special cases, quite correctly indicated by Dirac. The possible ways of the development of quantum theory, based on clear understanding of the origin of corpuscular-wave dualism and based on the fundamental both now mathemtically grounded main postulates are analysed.
At the beginning of last century, the Universe was considered to be constituted of matter and radiation. The second component of the Universe according to classical physics—radiation—is nothing but propagating electromagnetic waves. The dynamics of a particle was supposed to obey Newton's equation. For a given a field, that is, a physical quantity defined at each point of a region of space, it might be useful to have physical quantities describing the spatial variations of the field. Stationary Schrodinger Equation also known as time-independent Schrodinger equation, and its solutions give the allowed energy values of the system. Energy quantization is a consequence of the space confinement of the particle within a limited volume or, more precisely, due to the fact that the wavefunction probability density tends to zero as the spatial coordinates tend to infinity.