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ENTANGLEMENT IN THE SCHRéODINGER EXPERIMENT

E. A. Issaeva, Μ ¢μ´μ¢μ Ê

Published Feb 2, 2015• 0 citations
OpenAlex

Abstract

The mixed and entanglement states have been analyzed in the Schréodinger experiment. It is known that in an open system the ®Schréodinger cat ¯ paradox is explained by the decoherence phenomenon, but in a closed system it is explained by the EverettÄWheeler many-world interpretation of quantum mechanics. The quantum real world can be presented as a complex multispatial geometric ˇgure and the classical world is one of the faces of this ˇgure. In this paper it is shown that this ˇgure is the simplex that is well known in the functional analysis. Such an interpretation of quantum mechanics enables one to obtain the nonuniform wave equation, and Schréodinger equation is the uniform equation of this one. Perhaps this equation is the equation of subquantum world about which Einstein has written. ‚ Ô±¸¶¥·¨¥´É ¥ ®˜·¥¤¨´£¥·μ¢¸±¨ ° ±μÉ ¯ · ¸¸ É·¨ ¢ ÕÉ¸Ö ¸¥Ï ´´μ ¥ ¨ § ¶ÊÉ ´´μ ¥ ¸μ¸ÉμÖ-´¨Ö. ˆ§¢¥¸É´μ, ÎÉμ ¢ μɱ·ÒÉμ ° ¸¨¸É¥ ¥ ¶ · ¤μ± ¸ Ï·¥¤¨´£¥·μ¢¸±μ£μ ±μÉ · §·¥Ï ¥É¸Ö Ö¢¥´¨¥

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The mixed and entanglement states have been analyzed in the Schréodinger experiment. It is known that in an open system the ®Schréodinger cat ¯ paradox is explained by the decoherence phenomenon, but in a closed system it is explained by the EverettÄWheeler many-world interpretation of quantum mechanics. The quantum real world can be presented as a complex multispatial geometric ˇgure and the classical world is one of the faces of this ˇgure. In this paper it is shown that this ˇgure is the simplex that is well known in the functional analysis. Such an interpretation of quantum mechanics enables one to obtain the nonuniform wave equation, and Schréodinger equation is the uniform equation of this one. Perhaps this equation is the equation of subquantum world about which Einstein has written. ‚ Ô±¸¶¥·¨¥´É ¥ ®˜·¥¤¨´£¥·μ¢¸±¨ ° ±μÉ ¯ · ¸¸ É·¨ ¢ ÕÉ¸Ö ¸¥Ï ´´μ ¥ ¨ § ¶ÊÉ ´´μ ¥ ¸μ¸ÉμÖ-´¨Ö. ˆ§¢¥¸É´μ, ÎÉμ ¢ μɱ·ÒÉμ ° ¸¨¸É¥ ¥ ¶ · ¤μ± ¸ Ï·¥¤¨´£¥·μ¢¸±μ£μ ±μÉ · §·¥Ï ¥É¸Ö Ö¢¥´¨¥
The mixed and entanglement states have been analyzed in the Schrödinger experiment. It is known that, in an open system, the “Schrödinger cat” paradox is explained by the decoherence phenomenon, but, in a closed system, it is explained by the Everett-Wheeler many-world interpretation of quantum mechanics. The quantum real world can be presented as a complex multispatial geometric figure and the classical world is one of the faces of this figure. In this paper it is shown that this figure is the simplex that is well known in the functional analysis. Such an interpretation of quantum mechanics enables one to obtain the nonuniform wave equation, and the Schrödinger equation is the uniform equation of this one. Perhaps this equation is the equation of the subquantum world about which Einstein has written.
Quantum entanglement stands as one of the most profound and non-intuitive phenomena in quantum mechanics, challenging classical notions of locality and realism. This study explores the foundational principles, experimental validations, and technological implications of quantum entanglement within the broader context of the quantum world. Drawing from both historical milestones and recent advancements, the research investigates how entangled states emerge, evolve, and influence the behavior of spatially separated quantum systems. Using a mixed-methods approach that integrates theoretical analysis with quantitative simulation, this paper demonstrates how entanglement defies classical correlations by revealing statistical patterns that violate Bell-type inequalities. Results from simulated EPR-Bohm-type experiments show consistent alignment with quantum mechanical predictions, reinforcing the non-local character of entangled systems. Furthermore, we assess how entanglement underpins emerging technologies such as quantum computing, quantum teleportation, and secure quantum communication. Visual representations—including density matrices, correlation plots, and entanglement entropy graphs—are employed to interpret the complexity of multipartite systems and decoherence dynamics. The findings not only affirm the robustness of quantum entanglement as a theoretical construct but also highlight its real-world applications and philosophical implications. Ultimately, this study confirms that understanding quantum entanglement is not merely a conceptual pursuit but a crucial step toward harnessing the quantum world for next-generation technologies and deeper inquiries into the fabric of reality.
The quantum measurement problems are revisited from a new perspective. One of the main ideas of this work is that the basic entities of our world are various types of particles, elementary or composite. It follows that each elementary process, hence each measurement process at its core, is a space–time, pointlike, event. Another key idea is that, when a microsystem [Formula: see text] gets into contact with the experimental device, factorization of [Formula: see text] rapidly fails and entangled mixed states appear. The wave functions for the microsystem-apparatus coupled systems for different measurement outcomes then lack overlapping space–time support. It means that the aftermath of each measurement is a single term in the sum: a “wave function collapse.” Our discussion leading to a diagonal density matrix, [Formula: see text] shows how the information encoded in the wave function [Formula: see text] gets transcribed, via entanglement with the experimental device and environment, into the relative frequencies [Formula: see text] for various experimental results [Formula: see text]. These results represent the first, significant steps towards filling in the logical gaps in the standard interpretation based on Born’s rule, and replacing it with a more natural one. Accepting objective reality of quantum fluctuations, independent of any experiments, and independently of human presence, one renounces the idea that in a fundamental, complete theory of Nature the result of each single experiment must necessarily be predictable. A few well-known puzzles such as the Schrödinger cat conundrum and the Einstein–Podolsky–Rosen (EPR) paradox are briefly reviewed: they can all be naturally explained away.
Introduction WHY must I treat the measuring device classically? What will happen to me if I don't?! Eugene Wigner The quantum measurement problem – how does an apparently “classical” definite world arise out of the random world of quantum superpositions – was and continues to be one of the fundamental philosophical issues in quantum mechanics. What we mean by a classical world, for example, is one in which macroscopic objects are not in superposition states of being simultaneously in several locations at once, and cats are never in coherent superpositions of being alive and dead. This lack of coherence is actually a loss of the coherence that exists at the level of the isolated quanta, but somehow does not survive the transition to the classical level of measuring apparatus. Such incoherent states are known as mixed states. Therefore, to study the quantum–classical interface, or even to investigate whether such an interface exists at all other than in the minds of “classical sympathizers,” one should look carefully at mixed states, how they arise and how they behave. Here we describe a set of experiments, both real and gedanken , investigating the subtleties of quantum interference when mixed states are involved. We start by describing the well-known double-slit experiment, and the loss of interference when which-path information can be had.
The problem of measurement taken at face value shows clearly that there is an inconsistency inside the quantum formalism.The phenomenon of decoherence is often presented as a solution to it.A widely debated question is to decide between two different interpretations.The first one is to consider that the decoherence process has the effect to actually project a superposed state into one of its classically interpretable component, hence doing the same job as the reduction postulate.For the second one, decoherence is only a way to show why no macroscopic superposed state can be observed and so, to explain the classical appearance of the macroscopic world, while the quantum entanglement between the system, the apparatus and the environment never disappears.In this case, explaining why only one single definite outcome is observed remains to do.In this paper, we examine arguments for and against both interpretations and defend a position according to which the outcome that is observed is relative to the observer in close parallel to the Everett interpretation.
Erwin Schrodinger first described the thought-experiment which has since become known as 'the paradox of Schrodinger's cat' 51 years ago. In recent years, popular accounts of quantum mechanics have tended to adopt one or other of the philosophically most extreme solutions to this paradox, i.e. the consciousness hypothesis or the many worlds interpretation. The author attempts to redress the balance by describing what he takes to be the orthodox solution to the paradox which explains the paradox, without recourse to such counterintuitive notions as a cat simultaneously dead and alive or a universe continually splitting into multiple worlds, as being due to a misapplication of the quantum formalism.