This paper presents a realist pilot-wave framework exploring a pos-sible physical interpretation of elementary particle spin.Rather than treating spin exclusively as an intrinsic non-spatialdegree of freedom, the model investigates the hypothesis that the mea-sured spin state emerges from the interaction between a localized par-ticle excitation and a structured nonlinear spinor-valued guiding fieldW .The guiding field is described through a multi-scale organization,represented either by discrete spatial domains or continuous high-frequencyphase modulations. These descriptions correspond to stable local con-figurations in which particle excitations may become dynamically lo-calized.The initial spin-1/2 formulation is generalized to arbitrary spin sthrough a (2s + 1)-component complex spinor field. The same guiding-wave mechanism is therefore extended to different spin representationsthrough the corresponding SU (2) generators.The framework investigates the rotational properties of the guid-ing field, the generalized Stern–Gerlach interaction, and a possible re-alist interpretation of Bell-type correlations through a common non-separable guiding configuration.A physical interpretation of the coupling mechanism is proposedthrough an analogy with structured waves composed of interacting mi-croscopic elements. This analogy illustrates how different localized ex-citations may couple differently to the same guiding structure depend-ing on their geometry, inertia, interaction properties and dynamicalresponse.The present work remains a theoretical framework requiring furthermathematical development and experimental investigation.
This paper presents a realist pilot-wave framework exploring a pos-sible physical interpretation of elementary particle spin.Rather than treating spin exclusively as an intrinsic non-spatialdegree of freedom, the model investigates the hypothesis that the mea-sured spin state emerges from the interaction between a localized par-ticle excitation and a structured nonlinear spinor-valued guiding fieldW .The guiding field is described through a multi-scale organization,represented either by discrete spatial domains or continuous high-frequencyphase modulations. These descriptions correspond to stable local con-figurations in which particle excitations may become dynamically lo-calized.The initial spin-1/2 formulation is generalized to arbitrary spin sthrough a (2s + 1)-component complex spinor field. The same guiding-wave mechanism is therefore extended to different spin representationsthrough the corresponding SU (2) generators.The framework investigates the rotational properties of the guid-ing field, the generalized Stern–Gerlach interaction, and a possible re-alist interpretation of Bell-type correlations through a common non-separable guiding configuration.A physical interpretation of the coupling mechanism is proposedthrough an analogy with structured waves composed of interacting mi-croscopic elements. This analogy illustrates how different localized ex-citations may couple differently to the same guiding structure depend-ing on their geometry, inertia, interaction properties and dynamicalresponse.The present work remains a theoretical framework requiring furthermathematical development and experimental investigation.
Within a realist extension of the de Broglie–Bohm framework, this work proposes aphysical interpretation of elementary particle spin as an emergent topological property of anunderlying guiding-wave structure.In previous works, a hypothetical physical wave component associated with photons wasintroduced as a possible experimentally accessible extension of the pilot-wave concept. Thisapproach was subsequently extended to entangled photons through the hypothesis of a com-mon non-separable guiding structure WAB existing in physical three-dimensional space.The present paper develops the internal dynamics of this guiding structure. We proposethat spin does not correspond to the mechanical rotation of a point-like particle, but ratherto a topological excitation of the physical guiding wave itself. The particle is interpreted as alocalized excitation embedded within a structured field W (r, t) possessing an internal phasegeometry.A nonlinear field model is introduced in which stable localized excitations can emerge astopological soliton-like structures. The quantization of spin is associated with a phase wind-ing number characterizing the topology of the guiding field around the particle excitation.The central result of this work is a generalized guiding equation combining the transla-tional guidance induced by the energy flow of the physical wave with an additional topologicalspin current. This equation provides a unified description linking particle motion, internalfield geometry, and spin quantization within a single deterministic framework.The proposed model remains phenomenological and aims at establishing a possible phys-ical ontology for quantum spin rather than replacing the standard mathematical predictionsof quantum mechanics.
Summary: Quantum spin as a structural signature of informational stabilization under observer-relative exclusion. This pre-print proposes an alternative ontological reading of quantum spin grounded in an informational framework. Spin is not treated as an intrinsic property of particles, but as the observable signature of how information stabilizes through phase-dependent exclusion relative to an observer. Within this framework, different spin values correspond to different depths of informational validation, rather than to distinct physical substances. Description:Rather than postulating spin as an intrinsic internal degree of freedom, the paper interprets spin as the residual trace of how information becomes stable under observer-relative phase inversion and exclusion. The central claim is that stabilization of information does not occur through accumulation alone, but through structured exclusion of incompatible alternatives under phase displacement. When an informational configuration must remain coherent not only under its own inversion, but also under inversion relative to the observer’s evolving informational trajectory, a double-valued closure becomes unavoidable. This structural requirement directly corresponds to the emergence of spin-1/2 behavior. Within this framework: Spin-0 corresponds to the reading of pure informational presence, prior to orientation or relational interpretation Spin-1 corresponds to first-order relational reading, encoding directional propagation and hierarchical ordering between informational events Spin-1/2 emerges when stabilization requires double exclusion involving the observer, producing an irreducible phase-dependent validation Spin-2 corresponds to the level at which informational density constrains the framework of future interactions, providing an informational interpretation of gravitation The paper shows that once information is discrete, observer-relative, and stabilized through exclusion under phase displacement, SU(2)-like double-valued structures are not optional but structurally necessary. Spin therefore appears as a level-dependent reading of the same informational substrate, determined by how stabilization is achieved, rather than as a hidden intrinsic attribute of matter. This work does not propose a new formalism or modification of quantum mechanics. It is an interpretive framework compatible with existing formalisms, aimed at clarifying the ontological meaning of spin and its necessity. It connects phase, oscillation, decoherence, and observer dependence within a single structural mechanism, extending the stabilization logic introduced in the companion paper on the NNO operator. Relation to other work This article builds directly on: The Universal Theory of Information (TUI): Emergence of Physics from Informational Dynamics (https://doi.org/10.5281/zenodo.15106945) The NNO operator: Double Negation and Oscillation as Informational Conditions for the Stabilization of Observed Reality (https://doi.org/10.5281/zenodo.18443043) It can be read independently, but reaches its full coherence when considered as part of the TUI–NNO–SPIN conceptual sequence. About the author Mathieu Valentin Rondet is an independent researcher with a dual background in science and digital systems. He holds two master’s degrees in molecular and developmental biology, genetics and biochemistry (earned in France and the U.S.) and has spent over two decades designing physical simulations, procedural dynamics, and interactive systems for virtual environments. His approach blends biological information studies, structural logic, and information-based modeling to explore new perspectives on fundamental physics and observer-relative reality,
We introduce a local phase-field framework for describing spin entanglement in which measurement correlations arise from an internal scalar phase associated with each fermion. The phase is defined by two underlying real fields and evolves according to local relativistic dynamics. When particle pairs are produced at a common spacetime event, a phase-locking constraint is established at creation, after which the internal phases evolve independently without any nonlocal interaction.Spin measurements performed by Stern–Gerlach analyzers are modeled as local filtering operations that depend only on the internal phase and the analyzer orientation. Using this deterministic local response, we derive the exact quantum correlation function; when inserted into the CHSH expression, it attains the standard Tsirelson bound.The framework preserves locality, parameter independence, and no-signaling, while providing a concrete physical ontology for spin correlations based on internal phase structure. We compare the model with earlier phase-based approaches and outline experimental configurations—such as time-resolved and multi-stage Stern–Gerlach measurements—that could probe the dynamical evolution of the internal phase. The results demonstrate that exact quantum entanglement correlations can emerge from a strictly local phase-field description.Bell’s theorem constrains models in which measurement outcomes are functions of pre-assigned discrete values. The present framework instead employs a continuous internal phase field as the relevant physical variable. Measurement outcomes are deterministic functions of the local phase and analyzer orientation. The model preserves locality, parameter independence, and no-signaling, while allowing outcome dependence, which is permitted within Bell’s framework.
This preprint proposes a physical mechanism for several foundational quantum phenomena—spin, wave–particle duality, and nonlocal correlations—by modeling the electron as a stable standing-wave resonance node in a 4D extended field domain (x,y,z,w,t). The internal coordinate w represents field-depth, a compact resonance dimension of the underlying medium. Within this framework, spin-½ arises from SU(2) holonomy in the (r,w) subspace; charge quantization from mixed curvature KrwK_{rw}Krw; the electron’s magnetic moment (g≈2) from internal rotational symmetry; and Pauli exclusion from the two-dimensional spinor fiber structure. These results appear naturally, without postulating intrinsic point particles or abstract quantum axioms. Wave–particle duality emerges as a projection effect: a localized 4D resonance is observed as a delocalized probability wave in 3D space, while self-interference and quantum correlations follow from the geometric coupling between the lateral and depth components of the node. The model connects directly to atomic and molecular structure, describing shells, pairing, and bond geometry as standing interference patterns of the projected field density. This preprint builds on the author’s Field-Depth framework and provides a unified resonance-based interpretation of the electron and its quantum behavior.
Revised Abstract (Version 1.1 – Geometric Clarification) This preprint introduces field-depth (w) as an intrinsic sequential resonance coordinate associated with spatial structure, providing a geometric basis for key quantum phenomena. In this framework, the wavefunction is expressed as Ψ(x, y, z; w), where w does not represent an additional spatial dimension but an sequential coherence parameter governing the stability of standing-wave configurations within a three-dimensional spatial manifold. A localized particle state is interpreted not as a projection from a higher-dimensional space, but as the observable manifestation of a resonance-stabilized nodal structure whose internal coherence configuration is dynamically fixed. This formulation yields direct geometric interpretations of several quantum-mechanical features that are typically treated as abstract or axiomatic: • Wave–particle duality emerges naturally: quantum entities are extended resonance structures, while particle detections correspond to stabilized spatial envelopes of internally coherent states. • Spin arises as a phase-orientation condition within the resonance structure, producing the known 4π periodicity of spin-½ systems without requiring additional spatial geometry. • Quantum entanglement is understood as shared internal resonance configuration, allowing correlated outcomes without invoking superluminal signaling or geometric nonlocality. This model does not modify the Schrödinger or Dirac equations; rather, it clarifies the geometric and coherence-theoretic context in which their solutions are realized. The approach remains consistent with the SU(2) fiber-bundle structure of spinor fields and with experimental tests of quantum correlations. A forthcoming Version 2 will further refine the geometric interpretation by explicitly distinguishing spatial dimensionality from sequential coherence structure and by developing the implications of this clarification for electron stability, charge distribution, and resonance-mediated interactions.
We develop a physical framework in which the elementary excitations of quantum theoryarise as localized singularities of spacetime endowed with a rapidly cycling internaloscillation. The singularity forces a closed-loop internal motion defined on a two-sheetedcover of spatial rotation, making the internal time intrinsically double-valued. Thisgeometric structure enforces the spinorial 4π rotation law and supplies the four fundamentaloscillatory modes—two spatial circular windings and two temporal windings—from which theWeyl and Dirac equations emerge as the minimal linear evolution laws. The spinor is thusnot an algebraic postulate but the natural representational encoding of the internalgeometry of a singular spacetime excitation. The internal oscillation travels along a curved worldline, forming a helicalspacetime trajectory whose drift, chirality, energy sign, and mass all arise from thegeometric coupling between internal rotation and external motion. Promoting the internalstate to a spatial spinor field provides a mesoscale representation of the excitation’sinternally coherent “clock–gyroscope’’ state across space, enabling superposition andinterference without requiring the excitation itself to be spatially extended. Measurement is interpreted as a localized collision between the singularity and anapparatus. The outcome corresponds to geometric mode selection between the internaloscillation and the detector’s own dynamical modes, while detection probabilities arisefrom the spatial spinor field evaluated over the mesoscale region of interaction. Interferencerequires temporal coherence of the detector rather than multi-path propagation of a spatialwave, and the familiar quantum statistics emerge from the distribution of localizedworldline collisions across repeated trials. This singularity-based framework reproduces the empirical content of quantum mechanicswhile replacing its postulates with concrete dynamical and geometric principles. It unifiesspin, chirality, particle–antiparticle structure, interference, and measurement within asingle spacetime mechanism, and it provides experimentally testable deviations from standardquantum theory in regimes where detector coherence or worldline geometry is altered.