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Explanation of quantum entanglement using hidden variables

Jesús Fernández Sánchez

Published Jan 1, 2018• 0 citations
Publisher

Abstract

In this paper, it will be explained the quantum entanglement using hidden variables. This means, with no need of immediate or infinity range interactions. For this, the solution would be to take into account also the measurement device hidden variables. These hidden variables of the measurement device will cause that the detection of the particles to be measured, can only be made at certain moments, places and orientations that correspond when the particle states have specific values. This means, the particle state can be changing over time, but the measurement equipment can only detect it when it has certain values (because the hidden values of the measurement equipment are also participating in the process). So, the measurement device is participating indirectly in the entanglement of the particles. The problem until now with hidden variables interpretation was that only the hidden variables of the particles were taken into account. But, once the measurement device hidden variables status is considered also, the issue can be solved.

DOI
10.13140/rg.2.2.27342.64323

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In this paper, it will be explained the quantum entanglement using hidden variables. This means, with no need of immediate or infinity range interactions. For this, the solution would be to take into account also the measurement device hidden variables. These hidden variables of the measurement device will cause that the detection of the particles to be measured, can only be made at certain moments, places and orientations that correspond when the particle states have specific values. This means, the particle state can be changing over time, but the measurement equipment can only detect it when it has certain values (because the hidden values of the measurement equipment are also participating in the process). So, the measurement device is participating indirectly in the entanglement of the particles. The problem until now with hidden variables interpretation was that only the hidden variables of the particles were taken into account. But, once the measurement device hidden variables status is considered also, the issue can be solved.
In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of "hidden" variables, developed in a previous paper. We find that in principle, these "hidden" variables determine the precise results of each individual measurement process. In practice, however, in measurements that we now know how to carry out, the observing apparatus disturbs the observed system in an unpredictable and uncontrollable way, so that the uncertainty principle is obtained as a practical limitation on the possible precision of measurements. This limitation is not, however, inherent in the conceptual structure of our interpretation. We shall see, for example, that simultaneous measurements of position and momentum having unlimited precision would in principle be possible if, as suggested in the previous paper, the mathematical formulation of the quantum theory needs to be modified at very short distances in certain ways that are consistent with our interpretation but not with the usual interpretation.We give a simple explanation of the origin of quantum-mechanical correlations of distant objects in the hypothetical experiment of Einstein, Podolsky, and Rosen, which was suggested by these authors as a criticism of the usual interpretation.Finally, we show that von Neumann's proof that quantum theory is not consistent with hidden variables does not apply to our interpretation, because the hidden variables contemplated here depend both on the state of the measuring apparatus and the observed system and therefore go beyond certain of von Neumann's assumptions.In two appendixes, we treat the problem of the electromagnetic field in our interpretation and answer certain additional objections which have arisen in the attempt to give a precise description for an individual system at the quantum level.
An interpretation of quantum mechanics is presented in which there is one hidden variable. While this number of hidden variables is insufficient to explain Bell nonlocality, it can help solve the measurement problem. It also provides a nonretrocausal explanation of the delayed choice quantum eraser experiment and a solution to the new Wigner’s friend paradox. The key idea is that from the perspective of an outside observer, not entangled with an observed system, we treat all interactions within the system as unitary. However, from the perspective of an “observer” inside the system, entangled with the system, we treat all new entanglements as “micro-observations” and as a projection onto some basis of measurement. One particle can “observe” another. Thus, particles will have a defined value on one measurement basis from the inside perspective. This means that the wave function will at times describe an objective uncertainty, at other times a subjective uncertainty and at yet other times a combination of both. The wave function describes the total uncertainty, the minimal uncertainty that is present for any observer outside of the system, while for an observer inside the system, only the objective part of the uncertainty remains. The hidden variable is invisible to the outside observer.
An interpretation of quantum mechanics is presented in which there is one hidden variable. While this number of hidden variables is insufficient to explain Bell nonlocality, it can help solve the measurement problem. It also provides an explanation of the delayed choice quantum eraser experiment that is more intuitive than current explanations. In addition, a theory of nonlocality emerges directly from its assumptions. The key idea is that from the perspective of an outside observer, not correlated with an observed system, we treat all interactions within the system as unitary. However, from the perspective of an “observer” inside the system, we treat all new entanglements as “micro-measurements” and as a projection onto some basis of measurement. One particle can “measure” another. Thus, particles will have a defined value on one measurement basis from an inside perspective. This means that the wave function, from the outside view, will at times describe an objective uncertainty, at other times a subjective uncertainty and at yet other times a combination of both. The standard wave function describes the total uncertainty, the minimal uncertainty that is present for any observer outside of the system, while for an “observer” inside the system, only the objective part of the uncertainty remains, and this can be described by an inner wave function. The hidden variable is invisible to the outside observer.
An interpretation of quantum mechanics is presented in which there is one hidden variable. While this number of hidden variables is insufficient to explain Bell nonlocality, it can help solve the measurement problem. It also provides an explanation of the delayed choice quantum eraser experiment that is more intuitive than current explanations. In addition, a theory of nonlocality emerges directly from its assumptions. The key idea is that from the perspective of an outside observer, not entangled with an observed system, we treat all interactions within the system as unitary. However, from the perspective of an “observer” inside the system, entangled with the system, we treat all new entanglements as “micro-observations” and as a projection onto some basis of measurement. One particle can “observe” another. Thus, particles will have a defined value on one measurement basis from the inside perspective. This means that the wave function, from the outside view, will at times describe an objective uncertainty, at other times a subjective uncertainty and at yet other times a combination of both. The standard wave function describes the total uncertainty, the minimal uncertainty that is present for any observer outside of the system, while for an observer inside the system, only the objective part of the uncertainty remains, and this can be described by an inner wave function. The hidden variable is invisible to the outside observer.
An interpretation of quantum mechanics is presented in which there is one hidden variable. While this number of hidden variables is insufficient to explain Bell nonlocality, it can help solve the measurement problem. It also provides an explanation of the delayed choice quantum eraser experiment that is more intuitive than current explanations. In addition, a theory of nonlocality emerges directly from its assumptions. The key idea is that from the perspective of an outside observer, not entangled with an observed system, we treat all interactions within the system as unitary. However, from the perspective of an “observer” inside the system, entangled with the system, we treat all new entanglements as “micro-observations” and as a projection onto some basis of measurement. One particle can “observe” another. Thus, particles will have a defined value on one measurement basis from the inside perspective. This means that the wave function, from the outside view, will at times describe an objective uncertainty, at other times a subjective uncertainty and at yet other times a combination of both. The standard wave function describes the total uncertainty, the minimal uncertainty that is present for any observer outside of the system, while for an observer inside the system, only the objective part of the uncertainty remains, and this can be described by an inner wave function. The hidden variable is invisible to the outside observer.