Searcharxiv⌕ Search

arXiv subjects

T. F. Kamalov

Publications and source records attributed to T. F. Kamalov.

11 recordsLinked to original sources
arXiv2025

Propagation of optical solitons in the dielectric medium of a liquid crystal

Aim. Implement a stochastic representation of the wave function for a pair of entangled soliton functions in a liquid crystal. Show the applicability of a special soliton representation of quantum mechanics for modeling real entangled systems. Methodology. The central place in the study is occupied by the method of mathematical modeling. As part of the calculation of stochastics by the method of abstraction and concretization, a detailed mathematical apparatus is given, adapted to the real physical case. A qualitative analysis of the behavior of the material during the propagation of soliton pulses in it is carried out. Results. The main value of the stochastic theory for a system of entangled solitons lies in the possibility of modeling the entangled states of real systems - photons. In the framework of this work, the optical 1D envelopes of solitons in a nematic liquid crystal are considered in approximation to the conditions of a real physical problem. Research implications. The theoretical and/or practical significance lies in the fundamental possibility of modeling real entangled systems based on the constructed stochastic model of entangled solitons and subsequent creation of special applications on its basis. In particular, there will be a prospect of applying quantum teleportation to the problem of propagation of quantum computing for use among the components of quantum computing networks.

physics.gen-ph↗
arXiv2025

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

Are Dark Matter the result of uncalculated addition derivatives? The need to introduce dark matter dark becomes unnecessary if we consider that, the phenomenon of dark matter 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 dark matter and dark energy has not confirmed with the experimental discovery of it, so we use Ostrogradsky formalities to explain the effects described above, so that the need to introduce dark matter and dark energy disappears. We hope that this description can lead to a Steady State Model (SSM) of the Universe.

physics.gen-ph↗
arXiv2021

Entagled Optical Solitons in Non-Linear Kerr Dielecrtric

We consider optical 1D envelope solitons in Kerr dielectric with cubic non-linearity 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.

quant-ph↗
arXiv2015

Bell's Theorem and Entangled Solitons

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.

quant-ph↗
arXiv2010

Axiomatization of Mechanics

The problem of axiomatization of physics formulated by Hilbert as early as 1900 and known as the Sixth Problem of Hilbert is nowadays even more topical than at the moment of its formulation. Axiomatic inconsistency of classic, quantum, and geometrized relativistic physics of the general relativistic theory does not in the least fade away, but on the contrary, becomes more pronounced each year. This naturally evokes the following questions: 1. Is it possible, without drastically changing the mathematics apparatus, to set up the axiomatics of physics so as to transform physics, being presently a multitude of unmatched theories with inconsistent axiomatics, into an integrated science? 2. Is it possible, maybe through expanding their scopes, to generalize of transform the existing axiomatics into an integral system of axioms in such a manner that existing axiomatics of inconsistent theories would follow there from as a particular case?

physics.gen-ph↗
arXiv2007

Probabilistic Simulation of Quantum Computation

Special stochastic representation of the wave function in Quantum Mechanics (QM), based on soliton realization of extended particles, is suggested with the aim to model quantum states via classical computer. 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 spin-1/2 particles in the singlet state. The concept of stochastic qubits is used for quantum computing modelling.

quant-ph↗
arXiv2007

Hidden Variables and Quantum Statistics Nature

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 the 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 the Bell-type inequalities that are fairly consistent with the experimental data.

quant-ph↗
arXiv2003

An Algorithm of a Virtual Quantum Computer Model on a Classical Computer

Construction of virtual quantum states became possible due to the hypothesis on the nature of quantum states quant-ph/0212139. This study considers a stochastic geometrical background (stochastic gravitational background) generating correlation (or, coherency) of various quantum non-interacting objects. In the quantum state virtual model, a simple method of generating of two (or more) dichotomic signals with controlled mutual correlation factor from a single continuous stochastic process is implemented. Basing on the system random number generator of the computer, a model of the stationary random phase (with the nature of random geometrical background).

quant-ph↗
arXiv2002

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 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.

quant-ph↗