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Photon Trajectories Contrary to the de Broglie-Bohm Interpretation

Kazufumi Sakai

Published Aug 1, 2019• 0 citations
OpenAlex

Abstract

The de Broglie-Bohm interpretation was built to perform the same statistical predictions as a standard quantum theory in every conceivable physical situation, and the two theories cannot be distinguished. In this study, the trajectories of crossed photon pairs were examined, and different results were obtained under certain conditions even when there were no differences in the statistical measurements. The conditions and experimental results showed that the trajectories of photons followed the standard interpretation of quantum theory with high probability.

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The de Broglie-Bohm interpretation was built to perform the same statistical predictions as a standard quantum theory in every conceivable physical situation, and the two theories cannot be distinguished. In this study, the trajectories of crossed photon pairs were examined, and different results were obtained under certain conditions even when there were no differences in the statistical measurements. The conditions and experimental results showed that the trajectories of photons followed the standard interpretation of quantum theory with high probability.
Young’s double slit experiments, which represent the mystery of quantum mechanics, have been interpreted by quantum probability waves and by de Broglie-Bohm trajectories/pilot waves. Computer simulations of Bohm’s theory predict that (1) trajectories cannot cross, and (2) there is a triangle-shape area behind the double slit, in which there is no trajectory, i.e., no photons. In this article, we report the observations of novel comprehensive double slit experiments, which show that trajectories exist and cross in the triangular area. We show new phenomena that, in 2D cross double slit experiments and which way 2D cross double slit experiments, photons propagate along trajectories in the far field, and behave as particle and distribute as wave.
Quantum mechanics is a pillar of modern physics, confirmed by a huge number of experiments. Nevertheless, it presents many unintuitive properties, strongly differing from classical mechanics due to its intrinsic non-epistemic probabilistic nature. Many attempts have been devoted to building a deterministic theory reproducing all the results of standard quantum mechanics (SQM). One of the most successful attempts, in this sense, is de Broglie–Bohm (dBB) theory. This theory is built in order to reproduce almost all SQM predictions. However, it has recently been suggested that different coincidence patterns are predicted by SQM and dBB when a double-slit experiment is realized under specific conditions. In this paper we present the first realization of such a double-slit experiment with correlated photons produced in type I parametric down-conversion. We observe a perfect agreement with SQM prediction, whilst our result is almost eight standard deviations from the dBB prediction.
A salient feature of de Broglie-Bohm (dBB) quantum theory is that particles have determinate positions at all times and in all physical contexts. Hence, the trajectory of a particle is a well-defined concept. One then may expect that the closely related notion of inertial trajectory is also unproblematically defined. I show that this expectation is not met. I provide a framework that deploys six different ways in which dBB theory can be interpreted, and I state that only in the canonical interpretation the concept of inertial trajectory is the customary one. However, in this interpretation the description of the dynamical interaction between the pilot-wave and the particles, which is crucial to distinguish inertial from non-inertial trajectories, is affected by serious difficulties, so other readings of the theory intend to avoid them. I show that in the alternative interpretations the concept at issue gets either drastically altered, or plainly undefined. I also spell out further conceptual difficulties that are associated to the redefinitions of inertial trajectories, or to the absence of the concept.
A salient feature of de Broglie-Bohm quantum theory is that particles have de-terminate positions at all times and in all physical contexts. Hence, the trajec-tory of a particle is a well-defined concept. One then may expect that the closely related notion of inertial trajectory is also unproblematically defined. I show that this expectation is not met. I provide a framework that deploys six different ways in which de Broglie-Bohm theory can be interpreted, and I state that only in the canonical interpretation the concept of inertial trajectory is the customary one. However, in this interpretation the description of the dynamical interac-tion between the pilot-wave and the particles, which is crucial to distinguish inertial from non-inertial trajectories, is affected by serious difficulties, so other readings of the theory intend to avoid them. I show that in the alternative in-terpretations the concept at issue gets either drastically altered, or plainly un-defined. I also spell out further conceptual difficulties that are associated to the redefinitions of inertial trajectories, or to the absence of the concept.
The Bohm-de Broglie quantum mechanics has made possible to calculate the trajectories of electrons in a typical double-slit experiment[C. Philippidis et al., Il Nuovo Cimento, 52 B, 15-28 (1979)]. The trajectories do not correspond to an uniform movement but to an accelerated one. The acceleration is caused by the quantum potential. From the quantum theoretical point of view, the accelerated electrons should, with a certain probabil-ity, emit photons during its movement from the slits to the screen. According to the Copenhagen interpretation we found that this quantity is strictly zero because the electron moves as a free particle along its path after it leaves the slit and before reach the screen. Then, there is no emission of photons. On the other hand, by using the Bohm-de Broglie (BdB) approach we calculate the emission power, giving a general formula and which results, for a concrete real experiment, in a very tiny but not a vanishing value. We give an idea of the type of spectrum that could be measured. Therefore we have shown that the theoretical predictions of the usual quan-tum mechanics and that of Bohm-de Broglie’s interpretation are different. An experiment could determine the correct prediction.