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Wave-particle duality: A proposed resolution

Dirk John Pons, Arion Douglas Pons, Ariel M. Pons, Aiden Jasper Pons

Published Jan 1, 2012• 40 citations
Publisher

Abstract

There are several integration problems of fundamental physics that still lack coherent solutions, the case in point being wave-particle duality. While empiricism and mathematical modelling have served physics well, they have not yet been able to achieve integrated causal models. Conventional theories and approaches have only provided partial solutions, and it is possible that a more radical reconceptualisation of fundamental physics may be required. This work comes at the issue from a totally different approach: it applies design thinking to the problem. The result is the cordus conjecture, which proposes that the photon, and indeed every matter ‘particle’, has an internal structure comprising a 'cordus': two reactive ends that each behave like a particle, with a fibril joining them. The reactive ends are proposed to be a small finite distance apart, and energised [typically in turn] at a frequency. When energised they emit a transient force pulse along a line called a hyperfine fibril [hyff], and this makes up the field. This concept is used to explain the path dilemmas of the single photon in the double-slit device, and the wave behaviour of light including the formation of fringes by single photons and beams of light. In addition it provides a tangible explanation for frequency. It also yields new quantitative derivations for several basic optical effects: critical angle, Snell’s law, and Brewster’s angle. Thus the cordus structure offers an alternative conceptual explanation for wave-particle duality.

DOI
10.4006/0836-1398-25.1.132

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There are several integration problems of fundamental physics that still lack coherent solutions, the case in point being wave-particle duality. While empiricism and mathematical modelling have served physics well, they have not yet been able to achieve integrated causal models. Conventional theories and approaches have only provided partial solutions, and it is possible that a more radical reconceptualisation of fundamental physics may be required. This work comes at the issue from a totally different approach: it applies design thinking to the problem. The result is the cordus conjecture, which proposes that the photon, and indeed every matter ‘particle’, has an internal structure comprising a 'cordus': two reactive ends that each behave like a particle, with a fibril joining them. The reactive ends are proposed to be a small finite distance apart, and energised [typically in turn] at a frequency. When energised they emit a transient force pulse along a line called a hyperfine fibril [hyff], and this makes up the field. This concept is used to explain the path dilemmas of the single photon in the double-slit device, and the wave behaviour of light including the formation of fringes by single photons and beams of light. In addition it provides a tangible explanation for frequency. It also yields new quantitative derivations for several basic optical effects: critical angle, Snell’s law, and Brewster’s angle. Thus the cordus structure offers an alternative conceptual explanation for wave-particle duality.
There are several integration problems of fundamental physics that still lack coherent solutions, the case in point being wave-particle duality. While empiricism and mathematical modelling have served physics well, they have not yet been able to achieve integrated causal models. Conventional theories and approaches have only provided partial solutions, and it is possible that a more radical reconceptualisation of fundamental physics may be required. This work comes at the issue from a totally different approach: it applies design thinking to the problem. The result is the cordus conjecture, which proposes that the photon, and indeed every matter ‘particle’, has an internal structure comprising a 'cordus': two reactive ends that each behave like a particle, with a fibril joining them. The reactive ends are proposed to be a small finite distance apart, and energised [typically in turn] at a frequency. When energised they emit a transient force pulse along a line called a hyperfine fibril [hyff], and this makes up the field. This concept is used to explain the path dilemmas of the single photon in the double-slit device, and the wave behaviour of light including the formation of fringes by single photons and beams of light. In addition it provides a tangible explanation for frequency. It also yields new quantitative derivations for several basic optical effects: critical angle, Snell’s law, and Brewster’s angle. Thus the cordus structure offers an alternative conceptual explanation for wave-particle duality.
The cordus concept is shown to be able to explain wave behaviour in gaps, and fringes in the double slit device. This is useful because one of the enigmas of the double-slit device is that single photons form fringe patterns. Cordus explains fringes in terms of force lines called hyperfine fibrils (hyff) and their interaction with the edges of the light path. This also explains beam divergence and near-field effects. The results show that it is conceptually possible to create a solution for fringes based on a particuloid interpretation of light, without using the concept of interference. The biggest difference between Wave theory and the cordus explanation is their interpretation of the mechanism for fringes. Wave theory explains fringes as �interference�: two separate waves of light differing by full (half) fractions of wavelengths and thus constructively (destructively) interfering. From the Cordus perspective photons do not actually interfere or add together, and 'interference' is only a convenient analogy. The Cordus explanation is that fringes are caused instead by interaction of the photon hyff with opaque edges. This bracket of papers therefore offers a resolution of wave-particle duality by anticipating the internal cordus structure of the photon and the associated cordus mechanics. From this perspective wave and particle behaviours are simply the different output behaviours that the internal system shows depending on how it is measured. Thus Cordus offers a deeper mechanics that subsumes both quantum mechanics and wave theory. Surprisingly, Cordus suggests that the next deeper level of reality is deterministic.
A new conceptual model is proposed for the internal structure of the photon, and the mechanics thereof. This internal structure is called a cordus. The cordus consists of two reactive ends (RE) connected together with a fibril. The fibril connecting the two reactive ends does not interact with other matter. Each of the two reactive ends behaves like a whole photon in its ability to interact with other matter, including reflection, transmission, and the ability to take two paths, though it collapses to only one location. The reactive ends emit hyperfine fibrils (hyff) which are force lines. The cordus structure is neither a particle nor a wave, though can appear as either in certain circumstances.
Photon path dilemmas are a difficult area for conventional physics. Typical situations are the double-slit device and interferometers. The problem manifests as an apparent ability of the photon to simultaneously take all paths through the device, but eventually only appear at one. It is shown that a cordus structure is conceptually able to resolve the path dilemmas in wave-particle duality. Explanations are given for the double-slit device and interferometers. The Cordus conjecture implies there is a deeper, simpler, deterministic, and more elegant reality beneath quantum mechanics and wave theory.
Conventional particle and wave theories struggle to explain the frequency of photons and matter in a coherent manner using natural physics. This paper applies the cordus conjecture to develop a model for frequency of the photon. The interpretation is that there really is a part of the photon cordus that moves with a frequency. The working model is for a reciprocal motion: the energy alternates between the two reactive ends across the span of the cordus, and the hyff represent the observable electric field. This cordus model for frequency readily explains polarisation and tunnelling, and the concept is fundamental to other developments of the cordus mechanics including the reflection and refraction of particuloids. The implications are that frequency is not just an intrinsic variable, but a physical effect within the photon. The cordus frequency is a fundamental conceptual building-block in creating an integrated solution that unifies wave and particle behaviour. It is a powerful concept that is coherent across many other phenomena too, including matter particuloids and it contributes subsequently to the cordus model for granular fields.
The following Master’s thesis is concerned with several aspects of the wave-particle duality of light. It is loosely divided in three parts. In the first part we consider historical, theoretical and experimental aspects of the duality problem. We explain how the notion of duality has developed through the last 400 years. We discuss theoretical underpinnings of the duality emodied by Maxwell’s electromagnetic theory, quantization of electromagnetic modes, Fock’s states and coherent states. We critically review several experiments which serve to demonstrate the corpuscular or undulatory behaviour of light and matter; in particular we present how the photoelectric effect and the Compton effect can be explained using the undulatory model, and we critically review Grangier, Roger and Aspect correlation experiment.\n\nIn the second part we describe two illustrative experiments on the duality of light conducted at Quantum Optics Laboratory at University of Oslo. The results of the experiment allow us to discuss how coincidence measurements can be used to exhibit the corpuscular behaviour of light, and how Mach-Zender interferometry performed at very low intensity can be used to exhibit the undulatory behaviour at\nthe (assumed) single-photon level. In addition, in the second part we review elements of theories closely associated with the experiment and the experimental setup: optical coherence, photocount and photon\nstatistics, beam splitter models and Gaussian beams. A proposition for extending the semiclassical model is given, and shortcomings of the present beam splitter models are discussed.\n\nIn the third part of the thesis we consider first Afshar’s experiment and some of the critical response that it has been met with. Then we discuss how the wave-particle duality is to be understood in the\nstandard interpretation of quantum mechanics, and how it could possibly be explained using either an alternative model for light or an alternative interpretation of quantum mechanics, and what difficulties such explanations present.