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Logical Weaknesses in Classical Geometry Model of Deriving Math Formular of Double Slit Experiment --- A New Geometry Model Avoids Logical Weakness

Hui Peng

Published Nov 4, 2024• 0 citations
Publisher

Abstract

The double slit experiment is one of the fundamental experiments in the physical optics. In this article we show that there are logical weaknesses in the textbook geometry model of deriving the classical math formular describing the double slit experiment. Then, we propose a new geometry model and derive a new math formular for describing the double slit experiment without logical weakness. We also show that it is a challenge to interpret the phenomena of the comprehensive double slit experiment.

DOI
10.1364/opticaopen.27499023.v1

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•May 11, 2024•0 citations
The double slit experiment is one of the fundamental experiments in the physical optics. In this article we show that there are logical weaknesses in the textbook geometry model of deriving the classical math formular describing the double slit experiment. Then, we propose a new geometry model and derive a new math formular for describing the double slit experiment without logical weakness. We also show that it is a challenge to interpret the phenomena of the comprehensive double slit experiment.
The double slit experiment is one of the fundamental experiments in the physical optics. In this article we show that there are logical weaknesses in the textbook geometry model of deriving the classical math formular describing the double slit experiment. Then, we propose a new geometry model and derive a new math formular for describing the double slit experiment without logical weakness. We also show that it is a challenge to interpret the phenomena of the comprehensive double slit experiment.
The double slit experiment is one of the fundamental experiments in the physical optics. In this article we show that there are logical weaknesses in the textbook geometry model of deriving the classical math formular describing the double slit experiment. Then, we propose a new geometry model and derive a new math formular for describing the double slit experiment without logical weakness. We also show that it is a challenge to interpret the phenomena of the comprehensive double slit experiment.
The normal double slit experiments (we refer to it as Straight-Parallel-double-slit) are basic experiments and Feynman’s mystery in the optics/quantum mechanics. In this article, we show the following new mysteries: the characteristics of the interference patterns of the optical slit experiments depend on whether the slits are straight-lines or curve-lines and whether two slits are parallel or non-parallel; and independent on whether there are missing segments at the intersection of, for example, cross-double-slit. We ignore the effects of both the width of the slits and the distance between two slits and then, show the following: there is no variable in Straight-Parallel-double-slit; Straight-Non-Parallel-double-slit has one variable, the angle between two slits; Curve-Parallel-double-slit has one variable, the curvature of the slits; Curve-Non-Parallel-double-slit has two variables, the angle and curvature, and the curvatures of two slits may be either the same or different. The characteristics of patterns depend on those variables. The complete and consistent interpretation is a challenge. The above experiments show deeper mysteries and would motivate further study of optics.
Feynman (1956) called the double slit experiment "a phenomenon […] has in it the heart of quantum mechanics. In reality, it contains the only mystery". Penrose (2022) states that “the current quantum mechanics […] is an inconsistent theory”. To study the mystery, explore the nature of light, and test Penrose’s statement, we experimentally show, for the first time, Four Novel Phenomena that are also new mysteries. Single slit Parallel double slit Non-parallel double slit Curved double slit (1) in the same double slit experiment, within macroscopic distances from the diaphragm, the patterns are non-interference and then, gradually evolve to the orthogonal interference patterns; (2) in the same single slit experiment, within macroscopic distances from diaphragm, the patterns are non-diffraction and then, gradually evolve to the orthogonal diffraction patterns; (3) in the non-parallel-double-slits experiment, within macroscopic distances from diaphragm, we observe non-wave pattern and then, which gradually evolve to the hybrid patterns, namely the interference pattern embedded in the diffraction patterns; the hybrid patterns depend on the angle between two slits; (4) Curved-double slit produces non-wave pattern, then gradually evolve to Arc-interference pattern, and then, gradually evolving to Point-symmetry interference pattern. In order to show the universality of each of Four Novel Phenomena, we performed several experiments for each of Four Novel Phenomena. The differences between the single slit, parallel-double slit, non-parallel-double slit and Curved-double slit do not seem so suggestive. However, the patterns are unexpectedly fundamentally different. To consistently/completely explain above Four Novel Phenomena is the challenge to the existing wave theories. The new experimental phenomena support Penrose’s statement. Advances in physical optical experiments demand a consistent/complete theory.
Feynman (1956) called the double slit experiment "a phenomenon […] has in it the heart of quantum mechanics. In reality, it contains the only mystery". Penrose (2022) states that “the current quantum mechanics […] is an inconsistent theory”. To study the mystery, explore the nature of light, and test Penrose’s statement, we experimentally show, for the first time, Four Novel Phenomena that are also new mysteries. Single slit Parallel double slit Non-parallel double slit Curved double slit (1) in the same double slit experiment, within macroscopic distances from the diaphragm, the patterns are non-interference and then, gradually evolve to the orthogonal interference patterns; (2) in the same single slit experiment, within macroscopic distances from diaphragm, the patterns are non-diffraction and then, gradually evolve to the orthogonal diffraction patterns; (3) in the non-parallel-double-slits experiment, within macroscopic distances from diaphragm, we observe non-wave pattern and then, which gradually evolve to the hybrid patterns, namely the interference pattern embedded in the diffraction patterns; the hybrid patterns depend on the angle between two slits; (4) Curved-double slit produces non-wave pattern, then gradually evolve to Arc-interference pattern, and then, gradually evolving to Point-symmetry interference pattern. In order to show the universality of each of Four Novel Phenomena, we performed several experiments for each of Four Novel Phenomena. The differences between the single slit, parallel-double slit, non-parallel-double slit and Curved-double slit do not seem so suggestive. However, the patterns are unexpectedly fundamentally different. To consistently/completely explain above Four Novel Phenomena is the challenge to the existing wave theories. The new experimental phenomena support Penrose’s statement. Advances in physical optical experiments demand a consistent/complete theory.