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Physics Letters A

A dynamical system model for interference effects and the two-slit experiment of quantum physics

A. Boyarsky, Paweł Góra

Published Aug 1, 1992• 29 citations
Publisher
DOI
10.1016/0375-9601(92)90071-s

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Biological systems have been shown to have quantum-like behaviors by applying the adaptive dynamics view on their interaction networks. In particular, in the process of lactose-glucose metabolism, cells generate probabilistic interference patterns similarly to photons in the two-slit experiment. Such quantum-like interference patterns can be found in biological data, on all scales, from proteins to cognitive, ecological, and social systems. The adaptive dynamics approach covers both biological and physical phenomena, including the ones which are typically associated with quantum physics. We guess that the adaptive dynamics can be used for the clarification of quantum foundations, and the present paper is the first step in this direction. We suggest the use of an algorithm for the numerical simulation of the behavior of a billiard ball-like particle passing through two slits by explicitly considering the influence of the two-slit environment (experimental context). Our simulation successfully mimics the interference pattern obtained experimentally in quantum physics. The interference of photons or electrons by two slits is known as a typical quantum mechanical effect. We do not claim that the adaptive dynamics can reproduce the whole body of quantum mechanics, but we hope that this numerical simulation example will stimulate further extensive studies in this direction-the representation of quantum physical phenomena in an adaptive dynamical framework.

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Published in 2025, the recoiling-slit quantum interference experiment employs optically trapped single rubidium atoms to scatter photons. It claims to physically realize Einstein’s thought experiment of a movable physical slit and supports the principle of quantum complementarity based on experimental observations. Within the framework of the Original Light Theory, this paper strictly distinguishes the microscopic motion of individual photons and the statistical characteristics of photon ensembles. From the perspectives of acting environment, spatial scale and microscopic coupling mechanism, we demonstrate that the single rubidium atom scattering system only shares approximate mathematical appearances with the traditional double-slit system with physical wall thickness, while their physical essences are entirely different. This experiment artificially eliminates core physical conditions in real double-slit systems, including photon oscillation, slit channels and continuous momentum coupling between photons and slit walls, which constitutes typical conceptual substitution. Fundamentally, it is merely a recoil scattering experiment between single photons and isolated rubidium atoms, and cannot be equated with physical double-slit interference experiments. Once the inherent oscillation of photons and the mechanism of continuous interaction between photons and thick slit walls are incorporated, there is no basis for the equivalence of the two sets of models. Asserting model equivalence while ignoring photon oscillation and slit-wall coupling effects is nothing but self-deception. Its experimental conclusions are highly misleading. They cannot be extended to interpret real thick-wall double-slit interference and cannot serve as reliable experimental evidence for the validity of the principle of complementarity. Previous theoretical analyses built on physical slit models remain fully valid. Divergences originate from the replacement of experimental physical models rather than defects in the original physical mechanism analysis.

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Measurement-induced decoherence and information in double-slit interference

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The double slit experiment provides a classic example of both interference and the effect of observation in quantum physics. When particles are sent individually through a pair of slits, a wave-like interference pattern develops, but no such interference is found when one observes which "path" the particles take. We present a model of interference, dephasing, and measurement-induced decoherence in a one-dimensional version of the double-slit experiment. Using this model, we demonstrate how the loss of interference in the system is correlated with the information gain by the measuring apparatus/observer. In doing so, we give a modern account of measurement in this paradigmatic example of quantum physics that is accessible to students taking quantum mechanics at the graduate or senior undergraduate levels.

arXiv:1606.09442•American Journal of Physics•Jun 22, 2016•12 citations
Biological systems have been shown to have quantum-like behaviors by applying the adaptive dynamics view on their interaction networks. In particular, in the process of lactose-glucose metabolism, cells generate probabilistic interference patterns similarly to photons in the two-slit experiment. Such quantum-like interference patterns can be found in biological data, on all scales, from proteins to cognitive, ecological, and social systems. The adaptive dynamics approach covers both biological and physical phenomena, including the ones which are typically associated with quantum physics. We guess that the adaptive dynamics can be used for the clarification of quantum foundations, and the present paper is the first step in this direction. We suggest the use of an algorithm for the numerical simulation of the behavior of a billiard ball-like particle passing through two slits by explicitly considering the influence of the two-slit environment (experimental context). Our simulation successfully mimics the interference pattern obtained experimentally in quantum physics. The interference of photons or electrons by two slits is known as a typical quantum mechanical effect. We do not claim that the adaptive dynamics can reproduce the whole body of quantum mechanics, but we hope that this numerical simulation example will stimulate further extensive studies in this direction-the representation of quantum physical phenomena in an adaptive dynamical framework.
Published in 2025, the recoiling-slit quantum interference experiment employs optically trapped single rubidium atoms to scatter photons. It claims to physically realize Einstein’s thought experiment of a movable physical slit and supports the principle of quantum complementarity based on experimental observations. Within the framework of the Original Light Theory, this paper strictly distinguishes the microscopic motion of individual photons and the statistical characteristics of photon ensembles. From the perspectives of acting environment, spatial scale and microscopic coupling mechanism, we demonstrate that the single rubidium atom scattering system only shares approximate mathematical appearances with the traditional double-slit system with physical wall thickness, while their physical essences are entirely different. This experiment artificially eliminates core physical conditions in real double-slit systems, including photon oscillation, slit channels and continuous momentum coupling between photons and slit walls, which constitutes typical conceptual substitution. Fundamentally, it is merely a recoil scattering experiment between single photons and isolated rubidium atoms, and cannot be equated with physical double-slit interference experiments. Once the inherent oscillation of photons and the mechanism of continuous interaction between photons and thick slit walls are incorporated, there is no basis for the equivalence of the two sets of models. Asserting model equivalence while ignoring photon oscillation and slit-wall coupling effects is nothing but self-deception. Its experimental conclusions are highly misleading. They cannot be extended to interpret real thick-wall double-slit interference and cannot serve as reliable experimental evidence for the validity of the principle of complementarity. Previous theoretical analyses built on physical slit models remain fully valid. Divergences originate from the replacement of experimental physical models rather than defects in the original physical mechanism analysis.
The double slit experiment provides a classic example of both interference and the effect of observation in quantum physics. When particles are sent individually through a pair of slits, a wave-like interference pattern develops, but no such interference is found when one observes which "path" the particles take. We present a model of interference, dephasing, and measurement-induced decoherence in a one-dimensional version of the double-slit experiment. Using this model, we demonstrate how the loss of interference in the system is correlated with the information gain by the measuring apparatus/observer. In doing so, we give a modern account of measurement in this paradigmatic example of quantum physics that is accessible to students taking quantum mechanics at the graduate or senior undergraduate levels.