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arXiv:quant-ph/0205079

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

T. F. Kamalov

Published May 14, 2002• 0 citations
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Abstract

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.

DOI
10.48550/arxiv.quant-ph/0205079

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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.
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.
It is shown that the nature of quantum statistics can study in assumption of existence of a background of random gravitational fields and waves, distributed isotropically in the space. This background is capable of correlating phases of oscillations of identical microobjects. If such a background of random gravitational fields and waves is considered as hidden variables. It is shown that the classic physical of Bells observable in the 4-dimensions Rieman's space gives the value matching the experimental data. The nature of the entanglement states we are study here.
We study the photon-graviton pair production induced by the propagation of a classical electromagnetic (EM) wave in a Minkowskian spacetime. In our model, the gravitational field is described in terms of the quantized graviton field, whereas the electromagnetic field is split into a classical drive (a linearly or circularly polarized electromagnetic wave) and a quantum fluctuation field. We analyze the time evolution of the quantum state showing that, among other outcomes, the propagation of the EM wave can generate Bell states in the photon-graviton polarization basis. We finally discuss the possibility to observe entangled photons in artificial and natural scenarios.
We show that, in spite of rather common opinion, correlations of observables on subsystems of a composite quantum system can be represented as correlations of classical Gaussian variables. We restrict our model to the finite dimensional case (which is important, e.g., in quantum information theory). Here quantum correlations are represented by integrals with Gaussian densities which can be directly calculated. In particular, the EPR–Bell correlations for polarizations of entangled photons can be represented as correlations of Gaussian random variables. The tricky point of our construction is the necessity to introduce the Gaussian noise ("vacuum fluctuations") to obtain positively defined covariance matrices for "prequantum random variables." Quantum mechanics can be considered as a method to proceed by subtracting the influence of this Gaussian background noise.
In this study, we try to complement the theory with de-Broglie's idea on wave-pilot and Sakharov's hypothesis on gravitational fluctuations to convert the Method of Indirect Computation into the Comprehensive Quantum Theory. We assume that de-Broglie's wave-pilots are gravitational stochastic ones, and we shall regard micro-objects and test particles as being subject to the influence of such de-Broglie's waves. This role can be played by classical gravitational fields and waves (i.e. Gravity Background) generated by external objects. It has been shown that such stochastic gravitational fields and waves bring about mechanical wave-type fluctuations of a classical test particle. These classical particles in the course of measurements of their coordinates appear smeared in space, and these can described by quantum-mechanical wave functions. And these classical mechanical fluctuations correspond to the quantum mechanical wave function.
With the decline of the Copenhagen interpretation of quantum mechanics and the recent experiments indicating that quantum mechanics does actually embody 'objective reality', one might ask if a 'mechanical', conceptual model for quantum mechanics could be found. We propose such a model. Vacuum energy fluctuations imply mass fluctuations and, through general relativity, curvature fluctuations. And those fluctuations are indicated by fluctuations of the metric tensor. The metric tensor fluctuations can 'explain' the uncertainty relations and non-commuting properties of conjugate variables. We argue that that the probability density is proportional to the square root of minus the determinant of the metric tensor (the differential volume element). We argue that the metric elements are not stochastic but are oscillating at a high enough frequency that measured values of same appear stochastic (i.e. crypto-stochastic). We suggest that the oscillations at the position of particles are described as torsional vibrations. A crypto-stochastic (or chaotic) oscillating metric yields, among other things, a model of super-position, photon polarization, and entanglement, and all within the confines of a 4-dimensional space-time.