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Non-Parallel-Curve-Double Slit Experiments--- Butterfly-shape Interference Pattern and Optical-Butterfly-Effect

Hui Peng

James Peng Lab, Fremont, CA, USA

Abstract: Feynman (1956) called the double slit experiment "[…] it contains the only mystery. We cannot make the mystery go away by ‘explaining’ how it works". The photons are described by probability wave functions. The wave functions collapse to photons when measuring. However, the collapse of the wave function leads to the inconsistent/incomplete of the quantum mechanics (Penrose, 2022). In this article, we show that, the light is photons, not waves. And it is photons that produce the non-wave pattern and wave patterns in the same experiment. We refer to the phenomenon as “PhotoWave Phenomenon”. We experimentally show for the first-time the novel phenomenon that is new mystery, non-parallel-curve-double slit produces Butterfly-shape interference patterns. We show the sensitive dependence of patterns on the structures of apparatus of slits: changes in the structure of the slits result in profound differences in pattern. We refer to it as “Optical-Butterfly-effect”. The PhotoWave phenomena support Penrose’s statement. Advances in optical experiments, i.e., PhotoWave phenomena, demand a complete theory. The experiments provide the comprehensive phenomena for further developing theoretical model to study the nature of the light and the light wave theories.

Keywords: pattern evolution, non-parallel-curve-double slit, Butterfly-shape interference patterns, PhotoWave phenomena, Optical-Butterfly-effect

Received August 20, 2024; Revised September 22, 2024; Accepted September 29, 2024

Citation: Hui Peng, Non-Parallel-Curve-Double Slit Experiments--- Butterfly-shape Interference Pattern and Optical-Butterfly-Effect. International Journal of Physics, 12 (5). 232-237. January 2024. doi:10.12691/ijp-12-5-6

1. Introduction

(1). Light is waves only: In 1690, C. Huygens established the wave theory of the light [1].

(2). Light is particles only: In 1704, Newton established the corpuscles theory [2].

(3). Light is waves only: In 1801, Young’s double slit experiment [3,4] revived Huygens’ wave theory.

(4). Light is Photons: In 1905, Einstein quantized the light as photons to interpret “Photoelectric effect” [5].

(5). Wave-Particle duality: In 1927, Bohr proposed the complementarity principle [6].

Until 1950s, the wave-particle duality still puzzled Einstein. In 1951, he wrote “All these 50 years of conscious brooding have brought me no nearer to the answer to the question: What are light quanta?” [7].

(6). Mystery of double slit: In 1956, Feynman called the double slit experiment "a phenomenon […], it contains the only mystery. We cannot make the mystery go away by ‘explaining’ how it works" [8].

(7). Light is Probability waves: a photon is described by a probability wave function which collapses to photon on detector [9].

(8). Penrose’s Statement: In 2022, R. Penrose in an interview stated: “this is not something that people normally even recognize as a problem … which is known as the collapse of the wave function. Now you see current quantum mechanics strictly speaking is an inconsistent theory” [10].

In this article, we show (1) a novel phenomenon which is new mystery; (2) the nature and characteristics of the patterns of the non-parallel-curve double slit are angle-dependence. The novel experiment shows that the light is Photons not only in Photoelectric effect, but in the classical wave experiments. It is Photons that produce wave patterns near/on the detector. We referred to it as “PhotoWave Phenomena” [11,12]. Thus, no need to introduce both the wave-particle duality and the collapse of wave functions to interpret photons landing on the detector.

PhotoWave phenomena support Penrose’s statement.

We introduce the term of “Optical-Butterfly-Effect” to describe the apparatus-dependence of Photo-Wave phenomena.

PhotoWave phenomena challenge the wave nature of the light. It is a challenge to consistently interpretate the PhotoWave phenomena and the Optical-Butterfly-Effect.

We provide novel experiments / PhotoWave phenomenon for further theoretical development.

2. Postulates

2.1. Postulates

The standard description of the double-slit experiment is: the light is waves, before and after passing through the double-slit. We show experimentally: the light is photons, before and after passing through the apparatuses of the slits [13,14,15,16].

Considering above two contradictory statements, we propose:

Postulate-1 on apparatus of slits: the apparatus of slits, e.g., a slide of a double slit or a slide of non-parallel-curve-double slit, does not change the nature of the light passing through it.

Thus, the concept of the collapse of wave functions is no longer needed, which support Penrose’s statement.

Postulate-1 indicates that each fringe of the interference pattern on a detector is formed independently and partially. We have experimentally confirmed this indication [13,14,15,16].

We experimentally show “PhotonWave Phenomenon” and “Optical-Butterfly-Effect” in the article.

To interpret theoretically the “PhotonWave Phenomenon” and “Optical-Butterfly-effect” is a challenge.

Postulate-2 on convex lens

To study the details of the pattern evolution, we utilize the convex lens by placing the lens at different positions between the apparatus of slits and detector, so the light patterns arriving at the input surface of the lens are different.

To utilize the convex lens to study the evolution of patterns, we propose Postulate-2 of Lens.

Postulate-2:

Postulate-2.1: the convex lens enlarges the input image

that arrives at the input surface;

Postulate-2.2: The convex lens breaks/stops the

evolution of the patterns;

Postulate-2.3: The convex lens does not change the

nature of the input pattern.

Experiments in this article confirm Postulate-2.

2.2. Experimental Setup

Experimental setup (Figure 2.1): Figure 2.1 shows Experimental setup without lens. Figure 2.2 shows Experimental setup with lens.

For most Experiments in this article, we utilize Experimental setup of Figure 2.1 and Figure 2.2.

Figure 2.1. Experimental setup without lens

Figure 2.2. Experimental setup with lens

3. PhotoWave Phenomena: Non-parallel-curve-double Slit

3.1. Non-parallel-curve-double Slit

Now we extend the curve-double-slit to the non-parallel-curve-double-slit (Figure 3.1) and then, study its pattern evolution (Figure 3.2), and the angle-dependence of the patterns (Table 1).

Figure 3.1. Non-parallel-curve-double slit and Butterfly-shape patterns

3.2. Pattern Evolution

Experiment-3.1 (Figure 3.2): pattern evolution

Experimental setup: Figure 2.2.

Figure 3.2 shows the pattern evolution of the non-parallel-curve-double slit.

Observation (Figure 3.2):

Figures at L = 10-100 mm shows Pre-particle patterns; at L = 200 mm, showing Particle pattern, the image of the non-parallel-curved-double slit; at L = 500 mm, showing Resting-Butterfly-shape interference pattern; at L = 700 mm, showing Transition patterns; at L = 1300 mm, showing Flying-Butterfly-shape interference patterns.

Note: (1) the Pre-particle patterns, Particle pattern and Transition patterns are non-wave patterns and thus indicate that the light is photons; (2) the patterns gradually evolve, so there is no clear cut between patterns at different positions.

3.3. Angle-dependence of Patterns

The non-parallel-curve-double-slit of different angles (Figure 3.3) produce the different Butterfly-shape interference patterns (Table 1)

Figure 3.2. Pattern evolution

Figure 3.3. Non-parallel curved double slit of different angles

Table 1. Patterns of Non-parallel-curve-double slit of different angles

Table 2. Comparison of different slits and their patterns

4. Discussion

We proposed and performed the non-parallel-curve-double slit experiments, which show both the non-wave patterns (such as Pre-particle patterns, Particle patterns, Transition patterns), and the Butterfly-shape interference patterns.

The coexistence of the non-wave patterns and Butterfly-shape interference patterns in the same experiment indicates that the light is photons, but wave, and it is photons that produce both the non-wave patterns and the Butterfly-shape interference patterns, we refer to it as PhotoWave experiment/phenomenon.

Not-so-indicative-differences in the structures of slits lead to the profound differences in the patterns (Table 2). Namely, Table 2 shows the sensitive dependence of patterns on the structures of the slits. We refer to the phenomenon as “Optical-Butterfly-Effect”, which is the optical analogy of “Chaos Butterfly Effect”

It is not necessary to introduce the concept of “collapse of the wave function” in PhotoWave phenomena; which supporting Penrose’s statement.

No need of wave-particle duality to explain both Photoelectric Effect and PhotoWave Phenomena. We suggest that PhotoWave Phenomena may be attribute to the interactions between photons after passing through the double slit.

It is a challenge to consistently/completely explain PhotoWave Phenomena and “Optical-Butterfly-Effect”.

References

[1]   | Huygens, C. (1690). “Traité de la Lumière”, published in Leyden by Van der Aa, French.
[2]   | Newton, I. (1704). “Opticks: or, a treatise of the reflexions, refractions, inflexions and colours of light”, London.
[3]   | Young, T. (1804). "The Bakerian lecture. Experiments and calculation relative to physical optics”, Philosophical Transactionsof the Royal Society of London. 94: 1–16.
[4]   | “Arago spot”, WikipediA
[5]   | Einstein, A. (1905). “On a Heuristic Point of View Concerning the Production and Transformation of Light”, Ann. der Physik, Vol. 17, pp132-148.
[6]   | Bohr, N. (1928). "The Quantum Postulate and the RecentDevelopment of Atomic Theory". Nature. 121 (3050): 580–590. Bibcode: 1928Natur. 121.580B.
[7]   | S. Rashkovskiy, S. (2013). “Is a rational explanation of wave-particle duality possible?” arXiv 1302.6159 [quant-ph].
[8]   | Feynman, R., Leighton, R., and Sands, M. (1965). “The Feynman Lectures on Physics” (Addison-Wesley, Reading), Vol. 3.
[9]   | Penrose, R. (1996). "On Gravity's role in Quantum State Reduction". General Relativity and Gravitation. 28 (5): 581–600.
[10]   | Penrose, R. (2022) “Why Quantum Mechanics Is an Inconsistent Theory | Roger Penrose & Jordan Peterson”. YouTube.
[11]   | Peng, H. (2023). “Photoelectric Effect to Photowaves Phenomena --- New Phenomena Requiring Interpretation” TechRxiv.
[12]   | Peng, H. (2023). "New experiments/phenomena in optics: photoelectric effect to photowave phenomena," Proc. SPIE 12723, Seventeenth Conference on Education and Training in Optics and Photonics: ETOP 2023, 127231F (28 June 2023).
[13]   | Peng, H. (2022). “Incompleteness of Wave Interpretations of Double Slit and Grating Experiments.” International Journal of Physics, vol. 10, no. 3: 154-173. doi: 10.12691/ijp-10-3-4.
[14]   | Peng, H. (2021). “Experimental Study of Mystery of Double Slit --- Comprehensive Double Slit Experiments”. International Journal of Physics, vol. 9, no. 2: 114-127.
[15]   | Peng, H. (2021). “Double Slit to Cross Double Slit to Comprehensive Double Slit Experiments’. Research Square.
[16]   | Peng, H. (2023). “Non-Interference pattern Evolving to Interference Pattern --- New Phenomena/Mystery of Classical Wave Experiments.” International Journal of Physics, vol. 11, no. 3: 158-165.
[17]   | Peng, H. (2023). “Superposition of Waves to Superposition of Patterns --- Double slit Experiments to Cross Double Slit Experiments”. TechRxiv.
[18]   | Peng, H. (2024). “Curve-Single Slit, Non-Parallel Double Slit, Curve-Double Slit and Non-Parallel-Curve Double Slit Experiments”. TechRxiv.
[19]   | Peng, H. (2023). “Interference + Diffraction Hybrid Patterns of Novel Double Slit Experiment --- Interference Pattern Embedding in Diffraction Pattern”. TechRxiv.
[20]   | Peng, H. (2024). “Arc-Interference Pattern and Point-Symmetry Interference Pattern of Curved-Double Slit”. TechRxiv.
[21]   | Peng, H. (2024). “Non-Parallel Curved Double Slit --- Butterfly-Shape Interference Patterns”. TechRxiv.