Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

On the compatibility of the corpuscular and wave properties of a particle in the two-slit experiment

Nikolay Leonidovich Chuprikov

Published Jun 1, 2011• 0 citations
OpenAlex

Abstract

A new quantum-mechanical model of the two-slit experiment is presented, in which the wave properties of a particle are compatible with its corpuscular ones. The model is based on the idea which also underlies our previous model of a one-dimensional completed scattering. Its essence is that quantum processes, in which the systems state represents a coherent superposition of microscopically distinct substates (CSMDS), must be considered as complex random processes consisting of alternative subprocesses. Only with a new approach to CSMDSs quantum theory admits a consistent statistical interpretation and becomes free from the paradoxes associated at present with CSMDSs.

Related papers

О совместимости корпускулярных и волновых свойств частицы в двухщелевом эксперименте

Nikolay Leonidovich Chuprikov

A new quantum-mechanical model of the two-slit experiment is presented, in which the wave properties of a particle are compatible with its corpuscular ones. The model is based on the idea which also underlies our previous model of a one-dimensional completed scattering. Its essence is that quantum processes, in which the systems state represents a coherent superposition of microscopically distinct substates (CSMDS), must be considered as complex random processes consisting of alternative subprocesses. Only with a new approach to CSMDSs quantum theory admits a consistent statistical interpretation and becomes free from the paradoxes associated at present with CSMDSs.

•Jan 1, 2011•0 citations

From a 1D completed scattering and double slit diffraction to the quantum-classical problem: A new approach

Nikolay Leonidovich Chuprikov

We present a new approach to the quantum-classical problem, which treats it as the problem of modelling the quantum phenomenon described by a coherent superposition of microscopically distinct substates (CSMDS) as a compound one consisting of alternative subprocesses creating unremovable contexts for each other, or as that of reducing a non-Kolmogorovian quantum probability space to underlie a CSMDS to the sum of Kolmogorovian ones. We develop such models for a 1D completed scattering and double slit diffraction. The quantum-classical problem disappears when, in quantum theory with its integral superposition principle, CSMDSs obey the "either-or" rule to guide alternative random events. There is no observable which could be associated with the whole ensemble of statistical data described by a CSMDS, because such data are incompatible -- in the case of a CSMDS, any observable splits into noncommuting observables associated with the substates. To calculate the average value of any observable as well as to introduce characteristic times is meaningful only for the substates of a CSMDS. Ignoring this feature in the conventional description of CSMDSs just leads to paradoxical results (e.g., to the Hartman effect and passing a particle through two slits in the screen simultaneously).

arXiv:0911.2980•Nov 16, 2009•0 citations

Two-slit experiment and wave-particle duality

Nikolay Leonidovich Chuprikov

On the basis of an alternative approach to micro-cat states (Found. of Phys., 41, No. 9, p.1502 (2011)) we develop a new model of the two-slit experiment. It explains both this particular experiment and how the wave properties of any ensemble of single quantum particles emerge from their corpuscular ones. The key role in this explanation is played by the indistinguishability of identical quantum particles.

arXiv:1109.5840•AIP conference proceedings•Jan 1, 2012•1 citation

New Model of One-dimensional Completed Scattering and the Problem of Quantum Nonlocality

Nikolay Leonidovich Chuprikov

The origin of nonlocality in quantum mechanics (QM) is analyzed from the viewpoint of our new model of a one-dimensional (1D) completed scattering. Our study of quantum nonlocality complements those carried out by Volovich and Khrennikov. They pointed to an unphysical character of nonlocality in Bell's theorem whose context does not contain the very structure of the space-time. However, there is another reason leading to nonlocality in QM. The existing model of a 1D completed scattering evidences that QM, as it stands, even with a proper space-time context, contradicts special relativity. By our model this scattering process represents an entanglement of two coherently evolved alternative sub-processes, transmission and reflection; whose characteristics are measured well after the scattering event. Quantum nonlocality appears in this problem due to the inconsistency of the superposition principle with the corpuscular properties of a particle. It can take part only in one of the sub-processes. However the superposition principle allows introducing observables common for them. In the fresh wording, this principle must forbid introducing observables for entangled states.

arXiv:quant-ph/0609069•AIP conference proceedings•Jan 1, 2007•0 citations

The Double-Slit Experiment Reinterpreted: Matter-Wave Propagation and the Physical Mechanism of Quantum Interference

YOUNG HO GOH

The double-slit experiment has stood for a century as the paradigmatic demonstration of quantum superposition: the standard interpretation holds that a particle passes through both slits simultaneously, existing in a superposition of two spatially separated states. This paper proposes a physically distinct alternative: the particle's matter wave — a real physical wave propagating through space in accordance with de Broglie's relation λ = h/p — passes through both slits, while the particle itself (matter) remains in an undetermined state until a constructive interference maximum is formed at the detection screen. The particle does not simultaneously occupy two locations; the wave does. This distinction eliminates the need for superposition as an ontological commitment while fully reproducing the observed interference pattern. We further show that the disappearance of the interference pattern upon which-path measurement is explained without invoking wavefunction collapse: the measurement interaction redirects the matter wave to a single-slit geometry, eliminating the two-wave interference condition. Three experimentally testable predictions distinguish this framework from the standard interpretation: (1) weak-measurement trajectory reconstruction should reveal single particle paths inconsistent with simultaneous two-slit passage; (2) diffraction fringe spacing should depend on the mass density of the slit material, because denser slit edges generate a steeper refractive-index gradient for the matter wave; (3) the fringe pattern should exhibit a density-dependent phase shift measurable with current matter-wave interferometry technology. This reinterpretation requires no new mathematical formalism — the Schrödinger equation and Born's rule are retained — but replaces the ontological claim of simultaneous multi-location existence with the physically consistent picture of matter-wave propagation through an undetermined-state particle.

•Apr 22, 2026•0 citations

DOUBLE SLIT EXPERIMENT AND WAVE-PARTICLE DUALITY

V. Abbasov

Abstract The double-slit experiment is a classic experiment that presents the clearest manifestation of wave-particle duality, one of the fundamental principles of quantum mechanics. The double-slit experiment still remains the phenomenon that demonstrates wave-particle duality at the most fundamental level. This phenomenon quantitatively and conceptually demonstrates that microscopic objects can behave like both waves and particles at the same time. This article provides an in-depth analysis of the physical nature of dualism, the mechanism of formation of the interference pattern, and the impact of the act of observation on the dynamics of quantum systems. The need for a new perspective on this topic is due to the fact that the current uncertainty in the interpretation of quantum reality has not yet been completely eliminated, and the boundaries between classical and quantum behavior in microscopic objects are still being explored. The results presented here restructure the deep mechanisms of the interference picture, more clearly frame the relationship between observation and wavefunction collapse, and provide a quantum. Since the article attempts to provide a complete answer to the mechanism of the formation of wave-particle duality, extensive space is given to sections such as historical development, theoretical models, modern research, etc. New approaches to this phenomenon have been developed using modern research and string theory. As a result, a new mathematical expression has been proposed that explains the reasons for the initial emergence of wave-particle duality, and is also important for string theory. The article explains the measurement problem with a more effective physical structure and ontological model.

•Jun 26, 2026•0 citations
A new quantum-mechanical model of the two-slit experiment is presented, in which the wave properties of a particle are compatible with its corpuscular ones. The model is based on the idea which also underlies our previous model of a one-dimensional completed scattering. Its essence is that quantum processes, in which the systems state represents a coherent superposition of microscopically distinct substates (CSMDS), must be considered as complex random processes consisting of alternative subprocesses. Only with a new approach to CSMDSs quantum theory admits a consistent statistical interpretation and becomes free from the paradoxes associated at present with CSMDSs.
A new quantum-mechanical model of the two-slit experiment is presented, in which the wave properties of a particle are compatible with its corpuscular ones. The model is based on the idea which also underlies our previous model of a one-dimensional completed scattering. Its essence is that quantum processes, in which the systems state represents a coherent superposition of microscopically distinct substates (CSMDS), must be considered as complex random processes consisting of alternative subprocesses. Only with a new approach to CSMDSs quantum theory admits a consistent statistical interpretation and becomes free from the paradoxes associated at present with CSMDSs.
We present a new approach to the quantum-classical problem, which treats it as the problem of modelling the quantum phenomenon described by a coherent superposition of microscopically distinct substates (CSMDS) as a compound one consisting of alternative subprocesses creating unremovable contexts for each other, or as that of reducing a non-Kolmogorovian quantum probability space to underlie a CSMDS to the sum of Kolmogorovian ones. We develop such models for a 1D completed scattering and double slit diffraction. The quantum-classical problem disappears when, in quantum theory with its integral superposition principle, CSMDSs obey the "either-or" rule to guide alternative random events. There is no observable which could be associated with the whole ensemble of statistical data described by a CSMDS, because such data are incompatible -- in the case of a CSMDS, any observable splits into noncommuting observables associated with the substates. To calculate the average value of any observable as well as to introduce characteristic times is meaningful only for the substates of a CSMDS. Ignoring this feature in the conventional description of CSMDSs just leads to paradoxical results (e.g., to the Hartman effect and passing a particle through two slits in the screen simultaneously).
The origin of nonlocality in quantum mechanics (QM) is analyzed from the viewpoint of our new model of a one-dimensional (1D) completed scattering. Our study of quantum nonlocality complements those carried out by Volovich and Khrennikov. They pointed to an unphysical character of nonlocality in Bell's theorem whose context does not contain the very structure of the space-time. However, there is another reason leading to nonlocality in QM. The existing model of a 1D completed scattering evidences that QM, as it stands, even with a proper space-time context, contradicts special relativity. By our model this scattering process represents an entanglement of two coherently evolved alternative sub-processes, transmission and reflection; whose characteristics are measured well after the scattering event. Quantum nonlocality appears in this problem due to the inconsistency of the superposition principle with the corpuscular properties of a particle. It can take part only in one of the sub-processes. However the superposition principle allows introducing observables common for them. In the fresh wording, this principle must forbid introducing observables for entangled states.
The double-slit experiment has stood for a century as the paradigmatic demonstration of quantum superposition: the standard interpretation holds that a particle passes through both slits simultaneously, existing in a superposition of two spatially separated states. This paper proposes a physically distinct alternative: the particle's matter wave — a real physical wave propagating through space in accordance with de Broglie's relation λ = h/p — passes through both slits, while the particle itself (matter) remains in an undetermined state until a constructive interference maximum is formed at the detection screen. The particle does not simultaneously occupy two locations; the wave does. This distinction eliminates the need for superposition as an ontological commitment while fully reproducing the observed interference pattern. We further show that the disappearance of the interference pattern upon which-path measurement is explained without invoking wavefunction collapse: the measurement interaction redirects the matter wave to a single-slit geometry, eliminating the two-wave interference condition. Three experimentally testable predictions distinguish this framework from the standard interpretation: (1) weak-measurement trajectory reconstruction should reveal single particle paths inconsistent with simultaneous two-slit passage; (2) diffraction fringe spacing should depend on the mass density of the slit material, because denser slit edges generate a steeper refractive-index gradient for the matter wave; (3) the fringe pattern should exhibit a density-dependent phase shift measurable with current matter-wave interferometry technology. This reinterpretation requires no new mathematical formalism — the Schrödinger equation and Born's rule are retained — but replaces the ontological claim of simultaneous multi-location existence with the physically consistent picture of matter-wave propagation through an undetermined-state particle.
Abstract The double-slit experiment is a classic experiment that presents the clearest manifestation of wave-particle duality, one of the fundamental principles of quantum mechanics. The double-slit experiment still remains the phenomenon that demonstrates wave-particle duality at the most fundamental level. This phenomenon quantitatively and conceptually demonstrates that microscopic objects can behave like both waves and particles at the same time. This article provides an in-depth analysis of the physical nature of dualism, the mechanism of formation of the interference pattern, and the impact of the act of observation on the dynamics of quantum systems. The need for a new perspective on this topic is due to the fact that the current uncertainty in the interpretation of quantum reality has not yet been completely eliminated, and the boundaries between classical and quantum behavior in microscopic objects are still being explored. The results presented here restructure the deep mechanisms of the interference picture, more clearly frame the relationship between observation and wavefunction collapse, and provide a quantum. Since the article attempts to provide a complete answer to the mechanism of the formation of wave-particle duality, extensive space is given to sections such as historical development, theoretical models, modern research, etc. New approaches to this phenomenon have been developed using modern research and string theory. As a result, a new mathematical expression has been proposed that explains the reasons for the initial emergence of wave-particle duality, and is also important for string theory. The article explains the measurement problem with a more effective physical structure and ontological model.