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NeuroQuantology

On Nonzero Photon Mass Within Wave-Particle Duality

Łukasz Andrzej Glinka

Published Jan 18, 2012• 0 citations
Publisher

Abstract

The mass of a photon is one of the most intriguing ideas of theoretical physics, and their existence is consistently justified in the light of certain experimental data. In this paper the proposal for explanation of the nonzero photon mass in frames of the wave-particle duality is concisely presented. The standard formulation of the wave-particle duality is modified by the constant frequency field, which can be interpreted as the Zero-Point Frequency field. NeuroQuantology | March 2012 | Volume 10 | Issue 1 | Page 11-13

DOI
10.14704/nq.2012.10.1.418

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The mass of a photon is one of the most intriguing ideas of theoretical physics, and their existence is consistently justified in the light of certain experimental data. In this paper the proposal for explanation of the nonzero photon mass in frames of the wave-particle duality is concisely presented. The standard formulation of the wave-particle duality is modified by the constant frequency field, which can be interpreted as the Zero-Point Frequency field.
NeuroQuantology | March 2012 | Volume 10 | Issue 1 | Page 11-13
The Scalar Field Interaction Theory offers an alternative view of the wave-like properties of photons. Rather than invoking an inherent wave-particle duality, this approach explains photon wave-like behavior via interactions with a locally oscillating scalar field whose average value remains zero ( 〈 ϕ 〉=0 ). In this deterministic framework, all parameters of the scalar field (including its characteristic amplitude and mass term) are derived solely from fundamental physical constants, without any fitting or adjustable parameters. Preliminary comparisons indicate that the theory can closely match observed interference and diffraction data while maintaining a purely particle-like concept of the photon. By eliminating the need for probabilistic interpretations, the model aims to provide a consistent explanation for phenomena often attributed to quantum wave-particle duality.
The traditional theory of wave-particle duality holds that microscopic particles are both particles and waves. This view arises from the limitations of early experimental techniques, which equate the statistical wave behavior of a large number of particles directly with the essential properties of a single particle, leading to problems such as logical inconsistency and vague physical picture. Based on modern single-particle emission experiments and basic physical logic, this paper proposes a new explanation: the essential nature of microscopic particles is always particle, not wave; the observed wave property originates from the inherent, continuous, and omnidirectional tiny vibration of particles themselves, which is an external manifestation of particle motion rather than an intrinsic attribute. The strength of a particle’s wave property is closely related to its mass: the smaller the mass, the more significant the vibration and the stronger the wave property; the larger the mass, the weaker the vibration and the less obvious the wave property. Wave-like phenomena such as double-slit interference are the statistical distribution results of landing positions caused by the inherent vibration of numerous particles. This paper reconstructs the physical essence of wave-particle phenomena with concise and self-consistent logic, providing a more intuitive and unified new idea for understanding the microscopic world.
In the wave-particle duality, a free particle can be considered as a wave packet. Is there a wave property that corresponds to the rest mass of the particle? This is an interesting question that has not been extensively explored before. We suggest that this problem may be approached by treating the rest mass on the same footing as energy and momentum. Here we demonstrate that, by assuming that the matter wave of a particle behaves like a photon, one could derive the mass-energy relation from the solution of a simplified wave equation. This solution suggests that the rest mass of a particle is associated with a "transverse wave number", which characterizes the radial variation of the wave function in the transverse plane. This finding has several appealing features. For example, it shows a consistent geometrical relationship between mass, energy and momentum in both the wave and particle perspectives. Also, it predicts that a massless particle must travel at the constant speed of light. Furthermore, from a philosophical point of view, this model suggests that the mass-energy relation attributed to the special theory of relativity may have a root in the wave-particle duality. Indeed, it is shown that the Klein-Gordon equation can be derived naturally based on this model.
In modern physics courses the idea of photon has been teaching through from the einsteinian formulation based on the photoelectric effect. Einstein's photon concept allow the quantization of the electromagnetic field, but does not dwell on the idea of photon as particle. The objective of this paper was to demonstrate that the photon has its origin essentially in the special relativity, the electromagnetic theory and in the symmetry between the Lorentz's transformations associated flat monochromatic electromagnetic waves and particles with zero rest mass. This approach allows to understand the wave-particle duality of photon and allows to propose an alternative teaching focused on this duality to develop the course of modern physics.
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.
Abstract To enhance the consistency between the quantum descriptions of waves and particles, we quantise mechanical point particles in this paper in the same physically-motivated way as we previously quantised light in quantum electrodynamics (Bennett et al 2016 Eur. J. Phys. 37 014001). To identify the relevant Hilbert space, we notice that mechanical particles can occupy any position x while moving at any velocity v. Afterwards, we promote the classical states (x, v) to pairwise orthogonal quantum states | x , v ⟩ and demand that these evolve according to Newton’s equations of motion. The resulting quantum theory is mass-independent, when Newton’s equations of motion are mass-independent, as one would expect. The basic formulation of quantum mechanics emerges from quantum mechanics in configuration space as a semi-classical approximation when a fixed mass is imposed and several other adjustments are made.