Timur Kamalov - Academia.edu (original) (raw)

Papers by Timur Kamalov

Research paper thumbnail of Axiomatization of Mechanics

arXiv (Cornell University), Nov 18, 2010

Research paper thumbnail of Canonical Formalism. Keywords: Uncertainty Relation, hidden variables, Ostrogradski’s Canonical Formalism

Inertial effects in non-inertial reference frames are compared with quantum properties of tests o... more Inertial effects in non-inertial reference frames are compared with quantum properties of tests objects. The real space-time and perfect inertial reference frame can be compared accurate to the uncertainty relation. Complexities if describing micro-object in non-inertial reference-frames are avoidable using Ostrogradski’s

Research paper thumbnail of 2 1 A pr 2 01 0 Physics of Non-Inertial Reference Frames

Physics of non-inertial reference frames is a generalizing of Newton’s laws to any reference fram... more Physics of non-inertial reference frames is a generalizing of Newton’s laws to any reference frames. The first, Law of Kinematic in non-inertial reference frames reads: the kinematic state of a body free of forces conserves and determinates a constant n-th order derivative with respect to time being equal in absolute value to an invariant of the observer’s reference frame. The second, Law of Dynamic extended Newton’s second law to non-inertial reference frames and also contains additional variables there are higher derivatives of coordinates. Dynamics Law in non-inertial reference frames reads: a force induces a change in the kinematic state of the body and is proportional to the rate of its change. It is mean that if the kinematic invariant of the reference frame is n-th derivative with respect the time, then the dynamics of a body being affected by the force F is described by the (n+1)-th differential equation. The third, Law of Static in non-inertial reference frames reads: the s...

Research paper thumbnail of Can corrections to gravity at galactic distances be decisive to the problem of dark matter and dark energy?

Are Dark Matter and Dark Energy the result of uncalculated addition derivatives? The need to intr... more Are Dark Matter and Dark Energy the result of uncalculated addition derivatives? The need to introduce dark matter dark and energy becomes unnecessary if we consider that, the phenomenon of dark matter and dark energy is a result of not computing the additional derivatives of the equation of motion. For this purpose, we use higher derivatives in the form of non-local variables, known as the Ostrogradsky formalism. As a mathematician, Ostrogradsky considered the dependence of the Lagrange function on acceleration and its higher derivatives with respect to time. This is the case that fully correspond with the real frame of reference, and that can be both inertial and non-inertial frames. The problem of dark matter and dark energy presented starting from basic observations to explain the different results in theory and experiment. The study of galactic motion, especially the rotation curves, showed that a large amount of dark matter can be found mainly in galactic halos. The search for...

Research paper thumbnail of Quantum Correction for Newton’s Law of Motion

Symmetry, 2019

A description of the motion in noninertial reference frames by means of the inclusion of high tim... more A description of the motion in noninertial reference frames by means of the inclusion of high time derivatives is studied. Incompleteness of the description of physical reality is a problem of any theory, both in quantum mechanics and classical physics. The “stability principle” is put forward. We also provide macroscopic examples of noninertial mechanics and verify the use of high-order derivatives as nonlocal hidden variables on the basis of the equivalence principle when acceleration is equal to the gravitational field. Acceleration in this case is a function of high derivatives with respect to time. The definition of dark metrics for matter and energy is presented to replace the standard notions of dark matter and dark energy. In the Conclusion section, problem symmetry is noted for noninertial mechanics.

Research paper thumbnail of Bell’s Theorem and Entangled Solitons

International Journal of Theoretical Physics, 2016

Entangled solitons construction being introduced in the nonlinear spinor field model, the Einstei... more Entangled solitons construction being introduced in the nonlinear spinor field model, the Einstein-Podolsky-Rosen (EPR) spin correlation is calculated and shown to coincide with the quantum mechanical one for the 1/2-spin particles.

Research paper thumbnail of Simulation the Nuclear Interaction

Research paper thumbnail of Hidden variables and the nature of quantum statistics

It is shown that the nature of quantum statistics can be clarified by assuming the existence of a... more It is shown that the nature of quantum statistics can be clarified by assuming the existence of a background of random gravitational fields and waves, distributed isotropically in space. This background is responsible for correlating phases of oscillations of identical microobjects. If such a background of random gravitational fields and waves is considered as hidden variables, then taking it into account leads to Bell-type inequalities that are fairly consistent with experimental data.

Research paper thumbnail of Entangled solitons and stochastic q-bits

Stochastic realization of the wave function in quantum mechanics with the inclusion of soliton re... more Stochastic realization of the wave function in quantum mechanics with the inclusion of soliton representation of extended particles is discussed. Two-solitons conˇgurations are used for constructing entangled states in generalized quantum mechanics dealing with extended particles, endowed with nontrivial spin S. Entangled solitons construction being introduced in the nonlinear spinorˇeld model, the EinsteinÄPodolskyÄRosen (EPR) correlation is calculated and shown to coincide with the quantum mechanical one for the 1/2-spin particles. The concept of stochastic q-bits is used for quantum computing modelling. ¡¸Ê¦¤ ¥É¸Ö¸ÉμÌ ¸É¨Î¥¸± Ö •¥ ²¨ § ꬅ ¢μ²´μ¢μ°ËÊ´±Í¨¨¢ ±¢ ´Éμ¢μ°³¥Ì ´¨±¥´ μ¸´μ¢¥ 첨Éμ´´μ£μ ¶•¥¤¸É ¢²¥´¨Ö ¶•μÉÖ¦¥´´ÒÌ Î ¸É¨Í. "²Ö ¶μ¸É•μ¥´¨Ö § ¶ÊÉ ´´Ò̸μ¸ÉμÖ´¨°¢ μ¡μ¡-Ð¥´´μ°±¢ ´Éμ¢μ°³¥Ì ´¨±¥ ¶•μÉÖ¦¥´´ÒÌ Î ¸É¨Í¸μ¸ ¶¨´μ³ S¨¸ ¶μ²Ó §Ê¥É¸Ö ¤¢ÊÌ¸μ²¨Éμ´´Ò¥ ±μ´-˨£Ê• ͨ¨. Šμ´¸É•Ê±Í¨Ö § ¶ÊÉ ´´ÒÌ¸μ²¨Éμ´μ¢ ¢ ³μ¤¥²¨´¥²¨´¥°´μ£μ¸ ¶¨´μ•´μ£μ ¶μ²Ö ¶•¨³¥´Ö-¥É¸Ö ¤²Ö ¢ÒΨ¸²¥´¨Ö¸ ¶¨´μ¢μ°±μ••¥²Öͨ¨°´ÏÉ¥°´ Äμ¤μ²Ó¸±μ£μÄμ §¥´ (),¨ ¶μ± § ´μ, ÎÉμ μ´ ¸μ¢ ¶ ¤ ¥É¸±¢ ´Éμ¢μ°-±μ••¥²Öͨ¥°¤²Ö Î ¸É¨Í¸ ¶¨´ 1/2. "²Ö ³μ¤¥²¨•μ¢ ´¨Ö ±¢ ´Éμ¢ÒÌ ¢ÒΨ¸²¥´¨°¨¸ ¶μ²Ó §Ê¥É¸Ö ±μ´Í¥ ¶Í¨Ö¸ÉμÌ ¸É¨Î¥¸±¨Ì ±Ê¡¨Éμ¢.

Research paper thumbnail of Entangled solitons and quantum mechanics

Special stochastic realization of the wave function in quantum mechanics (QM), with the inclusion... more Special stochastic realization of the wave function in quantum mechanics (QM), with the inclusion of soliton representation of extended particles within the scope of nonlinear spinor field model, is considered. Two-solitons configurations are used for constructing entangled states in generalized QM dealing with extended 1/2-spin particles. Entangled solitons construction is used for calculating the Einstein—Podolsky—Rosen (EPR) spin correlation, which is

Research paper thumbnail of <title>Entangled optical solitons in nonlinear Kerr dielectric</title>

We consider optical 1D envelope solitons in Kerr dielectric with cubic nonlinearity and use two-s... more We consider optical 1D envelope solitons in Kerr dielectric with cubic nonlinearity and use two-solitons configurations for modelling entangled states of photons. We calculate spin, momentum and energy of solitons on the basis of approximate solutions to the nonlinear Maxwell equations and construct entangled two-solitons singlet states in special stochastic representation.

Research paper thumbnail of Symplectic structure of quantum phase and stochastic simulation of qubits

Research paper thumbnail of A model of extended mechanics and nonlocal hidden variables for quantum theory

Newtonian physics is describes macro-objects sufficiently well, however it does not describe micr... more Newtonian physics is describes macro-objects sufficiently well, however it does not describe microobjects. A model of Extended Mechanics for Quantum Theory is based on an axiomatic generalization of Newtonian classical laws to arbitrary reference frames postulating the description of body dynamics by differential equations with higher derivatives of coordinates with respect to time but not only of second order ones and follows from Mach principle. In that case the Lagrangian L(t, q,q,q, ...,q (n) , ...) depends on higher derivatives of coordinates with respect to time. The kinematic state of a body is considered to be defined if n-th derivative of the body coordinate with respect to time is a constant (i.e. finite). First, kinematic state of a free body is postulated to invariable in an arbitrary reference frame. Second, if the kinematic invariant of the reference frame is the n-th order derivative of coordinate with respect to time, then the body dynamics is describes by a 2n-th order differential equation. For example, in a uniformly accelerated reference frame all free particles have the same acceleration equal to the reference frame invariant, i.e. reference frame acceleration. These bodies are described by third-order differential equation in a uniformly accelerated reference frame.

Research paper thumbnail of Probabilistic simulation of quantum states

SPIE Proceedings, 2008

ABSTRACT PACS: 03.65.Ud Keywords: stochastic simulation of qubits, entangled solitons, random Hil... more ABSTRACT PACS: 03.65.Ud Keywords: stochastic simulation of qubits, entangled solitons, random Hilbert space, Kerr dielectric. To study the properties of the probabilistic bits the geometric approach is preferable. In this approach the projective interpretation of the Hilbert space as the space of rays is used. This model can be employed for simulating Bi-photons, qubits, EPR states and entanglement. The other example concerns the entangled envelope solitons in Kerr dielectric with cubic nonlinearity, where we use two-solitons configurations for modeling the entangled states of photons.

Research paper thumbnail of Physics of Non-Inertial Reference Frames

Research paper thumbnail of Anomalous Zeno effect for sharply localized atomic states

Physical Review A, 2012

We analyse the non-quadratic in time Zeno effect which arises when a few-atom state initially tra... more We analyse the non-quadratic in time Zeno effect which arises when a few-atom state initially trapped between two high laser-induced barriers is briefly released to free evolution. We identify the Zeno time, analyse the energy distributions of those atoms which have escaped and those that remained inside the trap, and obtain a simple relation between the survival and non-escape probabilities. The relevant time scales are such that the effect would be observable for the atomic species used in current laser experiments.

Research paper thumbnail of Classical and quantum-mechanical axioms with the higher time derivative formalism

Journal of Physics: Conference Series, 2013

A Newtonian mechanics model is essentially the model of a point body in an inertial reference fra... more A Newtonian mechanics model is essentially the model of a point body in an inertial reference frame. How to describe extended bodies in non-inertial (vibration) reference frames with the random initial conditions? One of the most generalized ways of descriptions (known as the higher derivatives formalism) consists in taking into account the infinite number of the higher temporal derivatives of the coordinates in the Lagrange function. Such formalism describing physical objects in the infinite dimensions space does not contradict to the quantum mechanics and infinite dimensions Hilbert space

Research paper thumbnail of Gravitational Noise with Polarization Variables, the Nature of Entanglement States and Metrics Fluctuational Interpretation of Qauntum Mechanics

Discussed in the study are gravitational noise and the nature of entanglement states. Their role ... more Discussed in the study are gravitational noise and the nature of entanglement states. Their role in forming of entangled states. Nonlocal nature of entangled states can be brought about by Polarization Variables. Polarization Variables consists of sum a background of random classical gravitational fields and waves, random electromagnets fields and so on known or unknown, distributed average isotropically in the space. This background is capable of correlating phases the oscillations of microobjects. From this follow, that entanglement polarizations states is the functions of Polarization Variables in Vacuum.

Research paper thumbnail of Metrics Fluctuational Theory

It is supposed the alternative to Quantum Mechanics Axiomatic. Fluctuational Theory save the Math... more It is supposed the alternative to Quantum Mechanics Axiomatic. Fluctuational Theory save the Mathematics of Quantum Mechanic without change, naming this Mathematics as Method of Indirect Computation. Fluctuational Theory is delete the axiomatic of Quantum Mechanics and replaces it by the assumption of Gravitational Noise. This assumption is connects the Method of Indirect Computation to the Classical Physics. Physical fluctuations of classical gravitational fields are mathematically expressed through geometric fluctuations of metrics of Riemann Space. Metrics Fluctuational Theory and Quantum Mechanic is describe the classical experiment of electrons interference by two different way.

Research paper thumbnail of Generalized Hamilton Function in the Phase Space of Coordinates and Their Multiple Derivatives

Refined are the known descriptions of particle behavior with the help of Hamilton function in the... more Refined are the known descriptions of particle behavior with the help of Hamilton function in the phase space of coordinates and their multiple derivatives. This entails existing of circumstances when at closer distances gravitational effects can prove considerably more strong than in case of this situation being calculated with the help of Hamilton function in the phase space of coordinates and their first derivatives. For example, this may be the case if the gravitational potential is described as a power series in 1/r. At short distances the space metrics fluctuations may also be described by a divergent power series; henceforth, these fluctuations at smaller distances also constitute a power series, i.e. they are functions of 1/r. For such functions, the average of the coordinate equals zero if the frame of reference coincides with the point of origin.

Research paper thumbnail of Axiomatization of Mechanics

arXiv (Cornell University), Nov 18, 2010

Research paper thumbnail of Canonical Formalism. Keywords: Uncertainty Relation, hidden variables, Ostrogradski’s Canonical Formalism

Inertial effects in non-inertial reference frames are compared with quantum properties of tests o... more Inertial effects in non-inertial reference frames are compared with quantum properties of tests objects. The real space-time and perfect inertial reference frame can be compared accurate to the uncertainty relation. Complexities if describing micro-object in non-inertial reference-frames are avoidable using Ostrogradski’s

Research paper thumbnail of 2 1 A pr 2 01 0 Physics of Non-Inertial Reference Frames

Physics of non-inertial reference frames is a generalizing of Newton’s laws to any reference fram... more Physics of non-inertial reference frames is a generalizing of Newton’s laws to any reference frames. The first, Law of Kinematic in non-inertial reference frames reads: the kinematic state of a body free of forces conserves and determinates a constant n-th order derivative with respect to time being equal in absolute value to an invariant of the observer’s reference frame. The second, Law of Dynamic extended Newton’s second law to non-inertial reference frames and also contains additional variables there are higher derivatives of coordinates. Dynamics Law in non-inertial reference frames reads: a force induces a change in the kinematic state of the body and is proportional to the rate of its change. It is mean that if the kinematic invariant of the reference frame is n-th derivative with respect the time, then the dynamics of a body being affected by the force F is described by the (n+1)-th differential equation. The third, Law of Static in non-inertial reference frames reads: the s...

Research paper thumbnail of Can corrections to gravity at galactic distances be decisive to the problem of dark matter and dark energy?

Are Dark Matter and Dark Energy the result of uncalculated addition derivatives? The need to intr... more Are Dark Matter and Dark Energy the result of uncalculated addition derivatives? The need to introduce dark matter dark and energy becomes unnecessary if we consider that, the phenomenon of dark matter and dark energy is a result of not computing the additional derivatives of the equation of motion. For this purpose, we use higher derivatives in the form of non-local variables, known as the Ostrogradsky formalism. As a mathematician, Ostrogradsky considered the dependence of the Lagrange function on acceleration and its higher derivatives with respect to time. This is the case that fully correspond with the real frame of reference, and that can be both inertial and non-inertial frames. The problem of dark matter and dark energy presented starting from basic observations to explain the different results in theory and experiment. The study of galactic motion, especially the rotation curves, showed that a large amount of dark matter can be found mainly in galactic halos. The search for...

Research paper thumbnail of Quantum Correction for Newton’s Law of Motion

Symmetry, 2019

A description of the motion in noninertial reference frames by means of the inclusion of high tim... more A description of the motion in noninertial reference frames by means of the inclusion of high time derivatives is studied. Incompleteness of the description of physical reality is a problem of any theory, both in quantum mechanics and classical physics. The “stability principle” is put forward. We also provide macroscopic examples of noninertial mechanics and verify the use of high-order derivatives as nonlocal hidden variables on the basis of the equivalence principle when acceleration is equal to the gravitational field. Acceleration in this case is a function of high derivatives with respect to time. The definition of dark metrics for matter and energy is presented to replace the standard notions of dark matter and dark energy. In the Conclusion section, problem symmetry is noted for noninertial mechanics.

Research paper thumbnail of Bell’s Theorem and Entangled Solitons

International Journal of Theoretical Physics, 2016

Entangled solitons construction being introduced in the nonlinear spinor field model, the Einstei... more Entangled solitons construction being introduced in the nonlinear spinor field model, the Einstein-Podolsky-Rosen (EPR) spin correlation is calculated and shown to coincide with the quantum mechanical one for the 1/2-spin particles.

Research paper thumbnail of Simulation the Nuclear Interaction

Research paper thumbnail of Hidden variables and the nature of quantum statistics

It is shown that the nature of quantum statistics can be clarified by assuming the existence of a... more It is shown that the nature of quantum statistics can be clarified by assuming the existence of a background of random gravitational fields and waves, distributed isotropically in space. This background is responsible for correlating phases of oscillations of identical microobjects. If such a background of random gravitational fields and waves is considered as hidden variables, then taking it into account leads to Bell-type inequalities that are fairly consistent with experimental data.

Research paper thumbnail of Entangled solitons and stochastic q-bits

Stochastic realization of the wave function in quantum mechanics with the inclusion of soliton re... more Stochastic realization of the wave function in quantum mechanics with the inclusion of soliton representation of extended particles is discussed. Two-solitons conˇgurations are used for constructing entangled states in generalized quantum mechanics dealing with extended particles, endowed with nontrivial spin S. Entangled solitons construction being introduced in the nonlinear spinorˇeld model, the EinsteinÄPodolskyÄRosen (EPR) correlation is calculated and shown to coincide with the quantum mechanical one for the 1/2-spin particles. The concept of stochastic q-bits is used for quantum computing modelling. ¡¸Ê¦¤ ¥É¸Ö¸ÉμÌ ¸É¨Î¥¸± Ö •¥ ²¨ § ꬅ ¢μ²´μ¢μ°ËÊ´±Í¨¨¢ ±¢ ´Éμ¢μ°³¥Ì ´¨±¥´ μ¸´μ¢¥ 첨Éμ´´μ£μ ¶•¥¤¸É ¢²¥´¨Ö ¶•μÉÖ¦¥´´ÒÌ Î ¸É¨Í. "²Ö ¶μ¸É•μ¥´¨Ö § ¶ÊÉ ´´Ò̸μ¸ÉμÖ´¨°¢ μ¡μ¡-Ð¥´´μ°±¢ ´Éμ¢μ°³¥Ì ´¨±¥ ¶•μÉÖ¦¥´´ÒÌ Î ¸É¨Í¸μ¸ ¶¨´μ³ S¨¸ ¶μ²Ó §Ê¥É¸Ö ¤¢ÊÌ¸μ²¨Éμ´´Ò¥ ±μ´-˨£Ê• ͨ¨. Šμ´¸É•Ê±Í¨Ö § ¶ÊÉ ´´ÒÌ¸μ²¨Éμ´μ¢ ¢ ³μ¤¥²¨´¥²¨´¥°´μ£μ¸ ¶¨´μ•´μ£μ ¶μ²Ö ¶•¨³¥´Ö-¥É¸Ö ¤²Ö ¢ÒΨ¸²¥´¨Ö¸ ¶¨´μ¢μ°±μ••¥²Öͨ¨°´ÏÉ¥°´ Äμ¤μ²Ó¸±μ£μÄμ §¥´ (),¨ ¶μ± § ´μ, ÎÉμ μ´ ¸μ¢ ¶ ¤ ¥É¸±¢ ´Éμ¢μ°-±μ••¥²Öͨ¥°¤²Ö Î ¸É¨Í¸ ¶¨´ 1/2. "²Ö ³μ¤¥²¨•μ¢ ´¨Ö ±¢ ´Éμ¢ÒÌ ¢ÒΨ¸²¥´¨°¨¸ ¶μ²Ó §Ê¥É¸Ö ±μ´Í¥ ¶Í¨Ö¸ÉμÌ ¸É¨Î¥¸±¨Ì ±Ê¡¨Éμ¢.

Research paper thumbnail of Entangled solitons and quantum mechanics

Special stochastic realization of the wave function in quantum mechanics (QM), with the inclusion... more Special stochastic realization of the wave function in quantum mechanics (QM), with the inclusion of soliton representation of extended particles within the scope of nonlinear spinor field model, is considered. Two-solitons configurations are used for constructing entangled states in generalized QM dealing with extended 1/2-spin particles. Entangled solitons construction is used for calculating the Einstein—Podolsky—Rosen (EPR) spin correlation, which is

Research paper thumbnail of <title>Entangled optical solitons in nonlinear Kerr dielectric</title>

We consider optical 1D envelope solitons in Kerr dielectric with cubic nonlinearity and use two-s... more We consider optical 1D envelope solitons in Kerr dielectric with cubic nonlinearity and use two-solitons configurations for modelling entangled states of photons. We calculate spin, momentum and energy of solitons on the basis of approximate solutions to the nonlinear Maxwell equations and construct entangled two-solitons singlet states in special stochastic representation.

Research paper thumbnail of Symplectic structure of quantum phase and stochastic simulation of qubits

Research paper thumbnail of A model of extended mechanics and nonlocal hidden variables for quantum theory

Newtonian physics is describes macro-objects sufficiently well, however it does not describe micr... more Newtonian physics is describes macro-objects sufficiently well, however it does not describe microobjects. A model of Extended Mechanics for Quantum Theory is based on an axiomatic generalization of Newtonian classical laws to arbitrary reference frames postulating the description of body dynamics by differential equations with higher derivatives of coordinates with respect to time but not only of second order ones and follows from Mach principle. In that case the Lagrangian L(t, q,q,q, ...,q (n) , ...) depends on higher derivatives of coordinates with respect to time. The kinematic state of a body is considered to be defined if n-th derivative of the body coordinate with respect to time is a constant (i.e. finite). First, kinematic state of a free body is postulated to invariable in an arbitrary reference frame. Second, if the kinematic invariant of the reference frame is the n-th order derivative of coordinate with respect to time, then the body dynamics is describes by a 2n-th order differential equation. For example, in a uniformly accelerated reference frame all free particles have the same acceleration equal to the reference frame invariant, i.e. reference frame acceleration. These bodies are described by third-order differential equation in a uniformly accelerated reference frame.

Research paper thumbnail of Probabilistic simulation of quantum states

SPIE Proceedings, 2008

ABSTRACT PACS: 03.65.Ud Keywords: stochastic simulation of qubits, entangled solitons, random Hil... more ABSTRACT PACS: 03.65.Ud Keywords: stochastic simulation of qubits, entangled solitons, random Hilbert space, Kerr dielectric. To study the properties of the probabilistic bits the geometric approach is preferable. In this approach the projective interpretation of the Hilbert space as the space of rays is used. This model can be employed for simulating Bi-photons, qubits, EPR states and entanglement. The other example concerns the entangled envelope solitons in Kerr dielectric with cubic nonlinearity, where we use two-solitons configurations for modeling the entangled states of photons.

Research paper thumbnail of Physics of Non-Inertial Reference Frames

Research paper thumbnail of Anomalous Zeno effect for sharply localized atomic states

Physical Review A, 2012

We analyse the non-quadratic in time Zeno effect which arises when a few-atom state initially tra... more We analyse the non-quadratic in time Zeno effect which arises when a few-atom state initially trapped between two high laser-induced barriers is briefly released to free evolution. We identify the Zeno time, analyse the energy distributions of those atoms which have escaped and those that remained inside the trap, and obtain a simple relation between the survival and non-escape probabilities. The relevant time scales are such that the effect would be observable for the atomic species used in current laser experiments.

Research paper thumbnail of Classical and quantum-mechanical axioms with the higher time derivative formalism

Journal of Physics: Conference Series, 2013

A Newtonian mechanics model is essentially the model of a point body in an inertial reference fra... more A Newtonian mechanics model is essentially the model of a point body in an inertial reference frame. How to describe extended bodies in non-inertial (vibration) reference frames with the random initial conditions? One of the most generalized ways of descriptions (known as the higher derivatives formalism) consists in taking into account the infinite number of the higher temporal derivatives of the coordinates in the Lagrange function. Such formalism describing physical objects in the infinite dimensions space does not contradict to the quantum mechanics and infinite dimensions Hilbert space

Research paper thumbnail of Gravitational Noise with Polarization Variables, the Nature of Entanglement States and Metrics Fluctuational Interpretation of Qauntum Mechanics

Discussed in the study are gravitational noise and the nature of entanglement states. Their role ... more Discussed in the study are gravitational noise and the nature of entanglement states. Their role in forming of entangled states. Nonlocal nature of entangled states can be brought about by Polarization Variables. Polarization Variables consists of sum a background of random classical gravitational fields and waves, random electromagnets fields and so on known or unknown, distributed average isotropically in the space. This background is capable of correlating phases the oscillations of microobjects. From this follow, that entanglement polarizations states is the functions of Polarization Variables in Vacuum.

Research paper thumbnail of Metrics Fluctuational Theory

It is supposed the alternative to Quantum Mechanics Axiomatic. Fluctuational Theory save the Math... more It is supposed the alternative to Quantum Mechanics Axiomatic. Fluctuational Theory save the Mathematics of Quantum Mechanic without change, naming this Mathematics as Method of Indirect Computation. Fluctuational Theory is delete the axiomatic of Quantum Mechanics and replaces it by the assumption of Gravitational Noise. This assumption is connects the Method of Indirect Computation to the Classical Physics. Physical fluctuations of classical gravitational fields are mathematically expressed through geometric fluctuations of metrics of Riemann Space. Metrics Fluctuational Theory and Quantum Mechanic is describe the classical experiment of electrons interference by two different way.

Research paper thumbnail of Generalized Hamilton Function in the Phase Space of Coordinates and Their Multiple Derivatives

Refined are the known descriptions of particle behavior with the help of Hamilton function in the... more Refined are the known descriptions of particle behavior with the help of Hamilton function in the phase space of coordinates and their multiple derivatives. This entails existing of circumstances when at closer distances gravitational effects can prove considerably more strong than in case of this situation being calculated with the help of Hamilton function in the phase space of coordinates and their first derivatives. For example, this may be the case if the gravitational potential is described as a power series in 1/r. At short distances the space metrics fluctuations may also be described by a divergent power series; henceforth, these fluctuations at smaller distances also constitute a power series, i.e. they are functions of 1/r. For such functions, the average of the coordinate equals zero if the frame of reference coincides with the point of origin.