Abstract This paper consolidates six earlier papers on the dipole-wave framework into a single, accessible summary. The core idea is that every subatomic particle has a dipole—a tiny oscillating magnet—that emits a real guiding wave. The particle follows that wave. This simple mechanism replaces much of quantum mechanics, including interference, the measurement problem, and Bell-type correlations, without hidden variables or the usual quantum perplexities.
Abstract This paper consolidates six earlier papers on the dipole-wave framework into a single, accessible summary. The core idea is that every subatomic particle has a dipole—a tiny oscillating magnet—that emits a real guiding wave. The particle follows that wave. This simple mechanism replaces much of quantum mechanics, including interference, the measurement problem, and Bell-type correlations, without hidden variables or the usual quantum perplexities.
Abstract This paper consolidates six earlier papers on the dipole-wave framework into a single, accessible summary. The core idea is that every subatomic particle has a dipole—a tiny oscillating magnet—that emits a real guiding wave. The particle follows that wave. This simple mechanism replaces much of quantum mechanics, including interference, the measurement problem, and Bell-type correlations, without hidden variables or the usual quantum perplexities. Keywords: quantum, double-slit, polarization, dipole, wave Introduction The purpose of this paper is to consolidate the information across all six of the dipole-wave papers and make that information as accessible as possible to non-science readers. The core idea is simple: every subatomic particle, like a photon and an electron, has a dipole that acts like a little magnet whose oscillations from north to south emit a wave. That wave is real. It travels through three-dimensional space. And it guides the particle. This single framework, worked out carefully, can replace much of quantum mechanics— including interference, the measurement problem, and Bell expectations—without hidden variables, without post-creation mysteries, and without the usual quantum perplexities.This paper has three parts: first, the dipole-wave framework; second, the contribution of each of the six papers; and third, how this replaces our current understanding of quantum mechanics.
AbstractStandard quantum mechanics rests on multiple postulates—state vectors, unitary evolution, the Born rule, and measurement collapse—that generate the measurement problem and require non-local or many-worlds interpretations. This paper proposes a simpler, local, and deterministic ontology. All fundamental particles are point-like entities with five intrinsic properties: mass, charge, spin, an oscillating dipole moment, and a definite position in 3D space. The spin axis is the axis along which the dipole oscillates. The oscillating dipole continuously radiates a real, local guiding wave, distinct from the classical electromagnetic wave. This guiding wave accounts for single-particle interference, diffraction, and quantum statistics. The point particle delivers discrete energy quanta locally upon interaction. Measurement outcomes are determined by the angle between the particle's pre-existing dipole orientation and the measurement device's axis. Entanglement is a classical correlation between dipole orientations, fixed at the moment of common creation at a vertex, and the observed cosine correlation curve emerges from the geometry of fixed dipoles meeting tilted measurement axes. The classical electromagnetic wave is a macroscopic, collective phenomenon, distinct from the single-particle guiding wave. Malus's law for bulk light is a property of this classical wave, not a quantum mystery. This dipole-wave ontology eliminates the measurement problem, restores locality and determinism, renders the photon's lack of a static dipole a natural consequence of its lack of mass, and achieves greater parsimony than standard quantum mechanics and its interpretations.
Abstract: A previous paper by Arneberg [1] proposed a local, deterministic ontology in which all fundamental particles are point-like entities possessing an intrinsic oscillating dipole moment that radiates a real guiding wave. That paper presented the conceptual framework and a mathematical skeleton. The present paper develops the mathematical foundations in detail. It is shown that the two governing equations of the dipole-wave model — a sourced wave equation for the wave and a local guidance equation for the particle — reduce, in the non-relativistic limit, to the Schrödinger equation and the de Broglie-Bohm guidance equation, respectively. The reduction hinges on a single parameter: the dipole oscillation frequency ω₀ = mc²/ħ, which is precisely the Compton frequency identified by de Broglie in his internal clock hypothesis. The mass term in the wave equation cancels the fast oscillation, leaving the Schrödinger dynamics for the slowly varying envelope. The guidance equation, when the wave is expressed in polar form, yields the Bohmian velocity law. Together, these reductions demonstrate that the dipole-wave ontology reproduces the empirical content of standard non-relativistic quantum mechanics for a single massive particle while maintaining locality, determinism, and a clear separation between particle and wave.
Abstract The dipole-wave framework proposes that all fundamental particles are point-like entities with oscillating dipole moments that radiate real guiding waves into three-dimensional space. Previous work has shown that this framework reduces to the Schrödinger equation for single massive particles and provides a deterministic account of single-photon interference. In this paper, we extend the dipole-wave framework to two-photon Bell-type correlations. We derive the joint detection probability for two photons with orthogonal dipoles and show that the quantum mechanical Bell curve—P = ½sin²(Δ)—is the interference-only, background-subtracted, normalized component of the dipole-wave prediction. The dipole-wave theory yields a raw coincidence rate proportional to 1 + 2sin²(Δ), which contains the Bell curve after background subtraction and normalization. The π/2 shift that relates this to the aligned-dipole case is derived from the orthogonality of the dipoles produced in Type-II parametric down-conversion. We further show that the four outcome probabilities follow from the geometry of the orthogonal dipoles and lead to the standard Bell correlation function E(a,b) = −cos(2Δ) and the CHSH violation |S| = 2√2. We also compare the raw prediction with published raw coincidence data and find that neither the simple raw expression nor the raw Bell curve matches the observed raw rates. This is expected, because the Bell curve is a derived quantity that emerges only after background subtraction and normalization. The central result remains: the dipole-wave framework reproduces the normalized Bell curve, the full correlation function, and the CHSH violation.
Abstract The pilot-wave theory of de Broglie and Bohm has a special place in the history of contemporary physics, being it the very first alternative formulation of quantum mechanics. As is well-known, such a framework established itself as a leading interpretation of the quantum formalism in virtue of the solutions provided to the major technical and conceptual challenges affecting the orthodox view. The de Broglie-Bohm theory in fact not only solves the famous measurement problem, one of the most cogent issues faced by standard quantum mechanics, but also it clarifies the formal structure of the latter theory as a consequence of a consistent set of principles and an precise, unambiguous ontology. This volume aims to provide the reader with a discussion of the pilot-wave perspective which is as informative, comprehensive and accessible as possible, while at the same time clarifying confusions and misunderstandings that are unfortunately still common in literature despite the long history of this theoretical framework. The book features chapters about the various perspectives on the pilot-wave theory, its extensions to relativity and quantum field theory, and its experimental applications to various branches of physics, as for instance quantum electrodynamics, quantum chemistry, and quantum engineering. Moreover, the volume includes essays on the history and philosophy of de Broglie-Bohm theory in order to delineate its developments and the vicissitudes of its pioneers, as well as to understand the scientific image of the universe it provides.
Quantum Mechanics Is a Shadow The Born Rule, the Observer, and the Fourth Dimension Pentagon Physics Programme Paper 37 A two-page paper deriving the Born rule from geometry, without new postulates beyond the self-referential axiom σ = 1/(1+σ) established in earlier papers in this series. The central observation is that a 3D observer is by definition a hyperplane in ℝ⁴. If the physical state space is four-dimensional, measurement cannot be anything other than projection from ℝ⁴ to ℝ³. This is not an analogy or an assumption. It is what observation means for a 3D being in a 4D state space. The question "why is measurement projection?" has no content. The geometry fixes it entirely. From this, the Born rule follows in three steps. The projection identity |proj(v)|² = 1 − v₄² is Pythagoras, a theorem not a postulate. Gleason's theorem forces the quadratic form as the unique self-consistent probability measure on subspaces of dimension ≥ 3. The spherical symmetry of S³ gives the mean Born probability as exactly 3/4, with 1/4 carried in the inaccessible fourth coordinate. The standard quantum mysteries are consequences of observing a 4D geometry from inside three dimensions. Superposition is a 3D description of a definite 4D vertex whose fourth coordinate is inaccessible. Collapse is not a process; it is a definite vertex touching a hyperplane. Wave-particle duality is the same vertex presenting different projections to differently oriented measurement subspaces. Entanglement is shared structure in the fourth coordinate, locally present in the geometry, non-local only from inside ℝ³. The paper is explicit about what it does not claim. It addresses measurement, not dynamics. Interference and complex phases belong to state evolution, a separate problem. The self-referential axiom replaces the Born postulate one-for-one; the gain is that the axiom generates the 600-cell, the dimensional structure, and the probability rule as theorems, where Born's postulate generates nothing. Bell's theorem rules out local hidden variable theories; v₄ is not a local hidden variable. For entangled pairs the correlation is encoded in joint 4D geometry inaccessible to either 3D observer, placing this framework in the same category as Bohmian mechanics. Multi-particle systems are not addressed. And: removing the paradox is not the same as solving the problem. Superposition and entanglement may carry richer structure than the present geometric framework has yet reached. The 600-cell is derived, not postulated, in the E₈ paper (doi:10.5281/zenodo.18901979). Keywords: Born rule, quantum foundations, measurement problem, projection, fourth dimension, 600-cell, Bell's theorem, hidden variables, Gleason's theorem, Pentagon Physics