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Dirac-type Equation Describing Photons That Producing Particle Pattern, Transition Pattern, and Interference Pattern in Double Slit Experiment

Hui Peng

Published May 10, 2025• 0 citations
Publisher

Abstract

It was shown that there are Particle patterns near the double slit (called Zone-1), Interference patterns near the detector (called Zone-3), and Transition patterns between Particle pattern and Interference pattern (called Zone-2) in the double slit experiment. Particle patterns and Transition patterns are non-wave patterns. We propose Dirac-type equation to describe how photons produce above three patterns.

DOI
10.1364/opticaopen.28999013.v1

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It was shown that there are Particle patterns near the double slit (called Zone-1), Interference patterns near the detector (called Zone-3), and Transition patterns between Particle pattern and Interference pattern (called Zone-2) in the double slit experiment. Particle patterns and Transition patterns are non-wave patterns. We propose Dirac-type equation to describe how photons produce above three patterns.
Young’s double slit experiments have been descripted by wave theories, i.e., before and after passing through a double slit, the light is waves. To test the wave description, we extend the double slit experiments to the comprehensive double slit experiments which are the regular double slit experiments with added either Shield, or Blocker, or Metal tube, or Photon-Chamber, or Lens. The comprehensive double slit experiments show the novel phenomena: (1) the light is particles, not waves, before and after passing through a double slit; (2) it is the particles that form both the non-interference patterns (near the double slit) and interference patterns (near/on the detector) in the same experiment; (3) the non-interference patterns gradually evolve to the interference patterns in the same experiment. We refer to the novel phenomena as “PhotoWave phenomena” which are universal. For studying the wave theory further, we show the Irregular-Double-Slit Experiments including the non-parallel-double slit, curve-double-slit, non-parallel-curve-double slit experiments. The comprehensive-double-slit and irregular-double-slit experiments provide the new phenomena for developing theoretical model to study: (1) the nature of the light; (2) the wave theories of the light; (3) the quantum theory of the light. A complete explanation should describe all of the comprehensive double slit and irregular-double slit experiments consistently, which is a challenge. For this purpose, we propose a Dirac-type equation to describe the Particle pattern, Transition pattern and interference pattern produced by photons in a double slit experiment.
The classical interpretation of Young’s double slit experiment is that, before and after passing through the diaphragm of the double slit, the light behaves as waves. Feynman called the double slit experiment “the only mystery [of quantum mechanics]. We have shown for the first time in the classical wave experiments: (1) Particle patterns (non-interference patterns) indicating the particle nature of light are near the diaphragm, and Interference patterns are near the screen; (2) Particle patterns evolve to Transition patterns (non-interference patterns) and finally, evolve to Interference patterns. We proposed Postulates of lens for utilizing lens in wave experiments. In this article, we experimentally suggest that Particle patterns, Transition patterns and Interference patterns simultaneously emerging on the screen in the double slit experiments show that the light beams are photons. The photon chamber shows that the photons distribute as waves in the wave experiments. We suggest that these phenomena and the physical mechanism of them are new mystery.
Abstract Young’s double slit experiment revived the wave theory of the light. The standard interpretation is that the light behaves as waves before and after passing through the diaphragm of the double slit. Feynman called the double slit experiment the only mystery in quantum mechanics. Recently, the photon chamber has been proposed and utilized to study the behavior of photons near the detecting screen. The experiments show that the light, near the screen, behaves as photons propagating along the straight-line trajectories, and the trajectories distribute as waves. In this article, we utilize two new methods to study experimentally the patterns near the diaphragm of the double slit/cross double slit. The experiments show that, the first time, within certain macroscopic distance from the diaphragm, (1) the pattern is non-interference and thus, the light behaves as photons and produces the “particle pattern” near the double slit; and (2) both the shape and nature of the patterns are distance-dependent; when the distance increases, the non-interference pattern gradually evolves to the interference pattern. The experiments: (1) provide novel phenomena/data for further theoretical development of the optics and for understanding the nature of the light; and (2) show the Feynman’s mystery with different aspect.
Recently, Nature magazine made a survey about how Physicists think of what quantum mechanics says about reality. The survey shows that 47% of respondents consider the wavefunction in the quantum mechanics representing simply a useful tool, and 36% respondents consider the wavefunction representing something real. In this article we show that the double slit experiments support the opinion of 47% of respondents. It is the standard understanding that the double slit experiment shows that the light is waves, not particles. The photoelectric experiment shows that the light is particles. The two experiments show the conceptually different natures of the light and thus led to the wave-particle duality of the light. To thoroughly study the real nature of the light in the double slit experiments, we utilizing added Photon-chamber, Shield, Blocker, Lenses, and Metal tubes respectively. We observed the following phenomena in the same double slit experiments: (1) the light is photons before and after passing through the double slit, not waves; and (2) it is the photons that produce both the non-interference patterns in Zone-0, Zong-1 and Zone-2, and the interference patterns in Zone-3 (referred to it as “PhotoWave phenomena”). The observed phenomena show that: (1) the wave-particle duality is invalid; (2) the wavefunction is simply a useful mathematical tool to describe the interference-pattern in Zone-3; (3) the wavefunction cannot be utilized to describe the no-wave phenomena in Zone-0, Zong-1, Zone-2, and Zone-3; (4) support the particle reality of quantum mechanics.
The classical interpretation of Young’s double slit experiment is that, before and after passing through the diaphragm of the double slit, the light behaves as waves. Feynman called the double slit experiment “the only mystery [of quantum mechanics]. We have shown for the first time that in the classical wave experiments: (1) Particle patterns, which are non-interference patterns indicating the particle nature of light, are near the diaphragm, and Interference patterns are near the screen; (2) Particle patterns evolve to Transition patterns that are also non-interference patterns, and, finally, evolve to Interference patterns; (3) Postulates of lens for utilizing lens in wave experiments. blob:https://www.techrxiv.org/615e9312-3e89-48d5-99fe-bbad6cef8a75 blob:https://www.techrxiv.org/4fad8e66-75e1-47db-af51-d9e445461b9b blob:https://www.techrxiv.org/e4274387-92e5-41bb-9185-038555bb2f13 In this article, we experimentally show that Particle patterns, Transition patterns and Interference patterns of the double slit experiments are simultaneously emerged on the screen. We suggest that these phenomena and the physical mechanism of photons distributing as waves are new mystery.