Abstract. It is shown that a solitary quantum system (photon, electron) when passing through two open slits could interfere because of the real de Broglie’s wave which “guide ” the particle to well-defined directions. A comparison between classical waves and particle waves can show the essential differences in the interpretations of interference phenomenon of the particles known up to now. New experiments are proposed which could distinguish between the classical electromagnetic waves and the photon-solitons. These experiments are simple, effective and decisive because they can change our understanding of nature. PACS number: 03.65.Ta 1
Abstract. It is shown that a solitary quantum system (photon, electron) when passing through two open slits could interfere because of the real de Broglie’s wave which “guide ” the particle to well-defined directions. A comparison between classical waves and particle waves can show the essential differences in the interpretations of interference phenomenon of the particles known up to now. New experiments are proposed which could distinguish between the classical electromagnetic waves and the photon-solitons. These experiments are simple, effective and decisive because they can change our understanding of nature. PACS number: 03.65.Ta 1
Abstract Chapter 11 introduces the essential mystery of quantum mechanics, shows how it is resolved, and then goes on to examine related phenomena. The mystery is how individual photons, not electromagnetic waves, can give rise to the interference pattern seen in the two-slit experiment. They are shown to do so because the relevant quantum amplitude is a linear combination of two terms, leading to the pattern when neither slit is identified as the one the photon went through, but collapsing to one term and no pattern if the slit is identified. Similar results are shown to occur when individual electrons are incident on the two slits, and when large molecules, which have de Broglie wavelengths, are scattered by diffraction gratings. Many other interference experiments are described, including those where a photon was shown to be in two places simultaneously and one where a photon displayed both wave and particle features.
The interference of laser photons (λ=532 nm) when they pass through two slits of the same width has been studied. The interference is observed up to the value S≈11 mm between the slits. Based on this, the assumption has been made that all elementary particles are soliton formations of the electromagnetic field. Solitons of classical physics exhibit the properties of a wave and a corpuscle, thus, we have an explanation of the corpuscular-wave nature of elementary particles as a phenomenon of classical physics. For the formation of solitons, the presence of a medium with the properties of dispersion and nonlinearity is necessary, and this contradicts the foundations of SRT. In this regard, a number of problems related to the foundations of SRT have been analyzed. It has been established that SRT does not pass the verification by the correspondence principle, since at low speeds the Lorentz transformation of time does not pass into the Galilean transformation. This means that SRT cannot be a physical theory. The reader’s attention is drawn to the fact that the relationship between the mass of a body and its internal energy, as well as the dependence of the mass of a body on the speed of its motion, do not belong to the problems of the theory of relativity, and therefore, their experimental confirmation cannot be an argument in favor of SRT. It is shown that the idea of the independence of the speed of quanta on the speed of the frame has a direct experimental refutation – the results of measuring the rotation periods of Io (a satellite of Jupiter) taking into account the addition and subtraction of velocities make it possible to obtain results for the speed of light with an accuracy of 1% of the reference value. This is a direct experimental refutation of the SRT.
The de Broglie wavelength λ= h/mv of simple particles (photon, electron, neutron) atoms (helium, neon) and molecules (fullerene, fluorous porphyrin) deduced from the de Broglie (dB) relation and those measured by double slits interferometry are compared.The de Broglie relation is verified in very large domains of velocity v and mass m of the particles, respectively 8 and 13 orders of magnitude.In this paper one analyses the interference spectra of photons and electrons and give the Intensity Relations IR(II-DI) between the interference intensity (II) by two slits and the diffracted intensity (DI) by one slit.The double slits interference in the de Broglie-Bohm interpretation is an interference of particle and pilot waves, internal and external waves each passing by a different slit.The velocities of these waves are discussed.From the universal de Broglie relation and the relation vp = vw between the particle and pilot waves one shows that only in the domain of the maximum of the light spectrum (λm~ 550 µm) the dB relation leads to the Plank-Einstein (PE) relation hν=mc 2 .A measure of the mass of the photon m* = 4 10 -36 Kg is deduced.The de Broglie relation for different wave lengths shows that the PE relation must be modified, the velocity of light is not constant as shown by various experiments: Global Positioning Systems GPS, red shift in astronomy etc.This has been discussed by Marmet in years 2000.The same conclusion was given by Sato in 2010 for electromagnetic waves.The trajectories of electrons observed by Jönsson by double slits interferometry and then calculated by Gondran according to the de Broglie-Bohm interpretation are then analyzed in detail.The correlations observed between the properties of these trajectories at short and long distances from the slits permit to give the general equation of the trajectories.The origin of these properties is discussed in the framework model of De Broglie and Bohm, assuming that at any point the intensity of the two waves (particle and pilot wave) passing by the 2 slits are deceasing functions of the distance to the slits.The changes of direction of the trajectories are explained.
It is well known that the double-slit experiment, under proper conditions, reveals the wave nature of both light and quantum particles like electrons. The wave nature of quantum particles is demonstrated by assuming plane or spherical de Broglie waves to be associated with quantum particles. In this article we deduce the wave nature of material particles starting with proper quantum mechanical amplitudes for propagation as arrived at in the path integral formulation. The classical particle limit of the interference pattern follows right away along the same lines as the corpuscular limit follows from wave optics.
In a recent paper, titled “Explanation for the observed wave-particle-duality of Light” (Tank, H.K. http://vixra.org/abs/1402.0153, 2014) it was explained that: “Since at very high frequencies, narrowband filtering and generation of purely monochromatic light of one Hertz bandwidth is not yet technically possible, there has been quite a wide bandwidth of waves involved, in the double slit experiments and photoelectric experiments performed so far. And since this wide ‘band’ of waves coherently add only at discrete points in space and time, we get ‘particles’ at the detectors.” Now, to further confirm the validity of this explanation, a new kind of experiment is proposed here, in which protons and electrons are accelerated at appropriate velocities vp ve , such that their de Broglie wavelengths are equal; i.e. ( h / mp vp )= ( h / me ve ) and let them pass through closely spaced slits so that they can interfere with each other. Similarly, in another experiment, their wave-functions: A exp i ( kp X - ωp t ) = A exp i ( ke X - ωe t ) , and let them pass through closely spaced slits, and see how the two matter-waves interfere.
The double-slit experiment has stood for a century as the paradigmatic demonstration of quantum superposition: the standard interpretation holds that a particle passes through both slits simultaneously, existing in a superposition of two spatially separated states. This paper proposes a physically distinct alternative: the particle's matter wave — a real physical wave propagating through space in accordance with de Broglie's relation λ = h/p — passes through both slits, while the particle itself (matter) remains in an undetermined state until a constructive interference maximum is formed at the detection screen. The particle does not simultaneously occupy two locations; the wave does. This distinction eliminates the need for superposition as an ontological commitment while fully reproducing the observed interference pattern. We further show that the disappearance of the interference pattern upon which-path measurement is explained without invoking wavefunction collapse: the measurement interaction redirects the matter wave to a single-slit geometry, eliminating the two-wave interference condition. Three experimentally testable predictions distinguish this framework from the standard interpretation: (1) weak-measurement trajectory reconstruction should reveal single particle paths inconsistent with simultaneous two-slit passage; (2) diffraction fringe spacing should depend on the mass density of the slit material, because denser slit edges generate a steeper refractive-index gradient for the matter wave; (3) the fringe pattern should exhibit a density-dependent phase shift measurable with current matter-wave interferometry technology. This reinterpretation requires no new mathematical formalism — the Schrödinger equation and Born's rule are retained — but replaces the ontological claim of simultaneous multi-location existence with the physically consistent picture of matter-wave propagation through an undetermined-state particle.