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arXiv:1107.5794

Waves, Particles, and Quantized Transitions: A New Realistic Model of the Microworld

Alan M. Kadin

Published Jul 26, 2011• 8 citations
arXivHTMLPDF

Abstract

A novel two-tiered organization of the microworld is presented, in which only the fundamental quantum fields of the standard model of particle physics (electrons, photons, quarks, etc.) are true quantum waves, exhibiting linear superposition. In contrast, confined quantum waves and their composites (such as nucleons and atoms) move collectively as particles following a classical Hamiltonian trajectory, as derived from the coherent phases of the component quantum waves. However, transitions between such quasi-classical trajectories are still subject to quantum transition rules of energy and momentum quantization (both linear and angular). Furthermore, there is no quantum decoherence, and no entanglement of multi-particle states. This provides a clear foundation for classical behavior, and avoids paradoxes of quantum measurement such as Schrödinger cat states. A synthesis of this type does not seem to have been previously examined. Can such a simple realistic representation really account for the known physics? This does require major reinterpretations of some established phenomena such as crystal diffraction, phonons, and superfluids.

DOI
10.48550/arxiv.1107.5794

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A novel two-tiered organization of the microworld is presented, in which only the fundamental quantum fields of the standard model of particle physics (electrons, photons, quarks, etc.) are true quantum waves, exhibiting linear superposition. In contrast, confined quantum waves and their composites (such as nucleons and atoms) move collectively as particles following a classical Hamiltonian trajectory, as derived from the coherent phases of the component quantum waves. However, transitions between such quasi-classical trajectories are still subject to quantum transition rules of energy and momentum quantization (both linear and angular). Furthermore, there is no quantum decoherence, and no entanglement of multi-particle states. This provides a clear foundation for classical behavior, and avoids paradoxes of quantum measurement such as Schrödinger cat states. A synthesis of this type does not seem to have been previously examined. Can such a simple realistic representation really account for the known physics? This does require major reinterpretations of some established phenomena such as crystal diffraction, phonons, and superfluids.
In the 20th century, physics was split into quantum mechanics on the microscale, classical mechanics on the macroscale, and general relativity on the cosmic scale, each with a distinct conceptual framework. On the contrary, a simple realistic picture of fundamental waves can provide the basis for reunifying physics on all scales. This neoclassical synthesis combines aspects of classical, quantum, and relativistic physics, but is distinct from each of them. Electrons are soliton-like waves with quantized spin, which locally define time and space. In contrast, nucleons and atoms are simply composites, with no wave nature of their own. There are no point particles, quantum entanglement, or gravitational singularities. Furthermore, mathematical abstractions such as curved spacetime and complex quantum waves in Hilbert space are not fundamental at all. This approach makes predictions that differ from orthodox theory, which can be tested.
Modern quantum mechanics, despite its flawless mathematical apparatus, has been in a deep ontological crisis for over a century. The traditional Copenhagen interpretation has introduced philosophical mysticism and absurd paradoxes into the description of the microworld, such as the famous mental experiments of "Schrödinger's cat." The orthodox claim that a particle exists simultaneously in multiple mutually exclusive states before measurement (quantum superposition) contradicts the most fundamental ontological law of existence. We have built this paper on a new, solid, realistic postulate, which at the same time represents an ontological axiom: Any object at a given moment in time exists only in one specific and definite physical state. Superposition is not an objective reality—it represents merely a mathematical tool for describing the system. Instead of splitting the universe into two, where the macro- and microworlds operate by different logics, we propose a unified causal model. The fundamental substance of the microworld is a continuous quantum field, the vibration of which before measurement manifests as a real physical wave. The act of measurement is not a "passive observation," but rather a harsh physical intervention. When a macroscopic instrument touches the wave structure of the field, an instantaneous non-linear reaction is born—a quantum spasm (a local phase transition), which instantly condenses the wave into a point-like particle. This article describes in detail the mechanism of this spasm and its connection with the structural deformation of the quantum field.
This article proposes a deterministic and geometrically grounded reformulation of quantum mechanics based on vortex dynamics in a structured, superfluid-like vacuum. Modeling the electron as a self-sustaining irrotational vortex with both internal rotation and external translation, the framework derives fundamental quantum phenomena—including de Broglie wavelength, Compton wavelength, spin, and quantization—directly from physical principles of motion and vacuum geometry. A generalized wave function is introduced, embedding both translational and rotational phase components, leading to a modified Schrödinger-like equation that naturally incorporates internal angular momentum. Interference, tunneling, and entanglement are reinterpreted as emergent behaviors of coherent vortex trajectories, eliminating the need for wavefunction collapse or intrinsic randomness. The Born rule is shown to arise from deterministic mechanisms such as phase averaging, internal oscillations, and ergodic dynamics. This vortex model aligns with classical, quantum, and relativistic principles, resolves key interpretational paradoxes, and offers a unified, causal framework for understanding quantum phenomena as structured motion within a physically real vacuum.
Some recent experiments claim to show that any model in which a quantum state represents mere information about an underlying physical reality of the system must make predictions which contradict those of quantum theory. The present work undertakes to investigate the issue of reality, treading a more fundamental route from the Hamilton-Jacobi equation of classical mechanics to the Schrodinger equation of quantum mechanics. Motivation for this is a similar approach from the eikonal equation in geometrical optics to the wave equation in electromagnetic theory. We rewrite the classical Hamilton-Jacobi equation as a wave equation and seek to generalise de Broglie's wave particle duality by demanding that both particle and light waves have the freedom of being described by any square-integrable function. This generalisation, which allows superposition also for matter wave functions, helps us to obtain the Schrodinger equation, whose solution can be seen to be as much objective as the classical mechanics wave function. Several other equations which one writes in quantum mechanics, including the eigenvalue equations for observables, series expansion of energy states in terms of eigenstates of observables other than energy, etc., can be written in the classical case too. Absence of any collapse of the wave function, entanglement, etc. in the classical realm have their origin in the nonlinearity of the classical wave equation. These considerations indicate that many of the puzzles in quantum mechanics are present also in classical mechanics in a dormant form, which fact shall help to demystify quantum mechanics to a great extent.
In spite of the recent extraordinary progresses of experimental techniques it does not seem that, after more than seventy years from the birth of quantum mechanics, a unanimous consensus has been reached in the physicist's community on how to understand the "strange" properties of quantons, the wavelike/particlelike objects of the quantum world. In the first paragraph I will briefly recall some results on the problem of decoherence in large quantum systems, which at the same time may be viewed as an attempt of providing a "realistic" physical interpretation of the standard mathematical formulation of the theory. In the following ones I will present a derivation from first principles of the Wigner representation of quantum mechanics in phase space which eliminates altogether from the theory the Schrödinger waves and their questionable properties. This approach leads to the conclusion that the wave/particle duality has nothing to do with "probability waves", but is simply the manifestation of two complementary aspects (continuity vs. discontinuity) of an intrinsically nonlocal physical entity (the quantum field) which objectively exists in ordinary three dimensional space.