Spin as a Position-Dependent Property on a Multi-Scale Guiding Wave: Second-Order Spinor Dynamics in a Realist Pilot-Wave Framework

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-26
DOI
https://doi.org/10.5281/zenodo.21608739
Primary Topic
Quantum many-body systems
Type
preprint
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preprint

Spin as a Position-Dependent Property on a Multi-Scale Guiding Wave: Second-Order Spinor Dynamics in a Realist Pilot-Wave Framework

David DHUGUES
Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
preprint

Spin as a Position-Dependent Property on a Multi-Scale Guiding Wave: Second-Order Spinor Dynamics in a Realist Pilot-Wave Framework

David DHUGUES
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Quantum many-body systems
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Spin as a Position-Dependent Property on a Multi-Scale Guiding Wave: Second-Order Spinor Dynamics in a Realist Pilot-Wave Framework — David DHUGUES · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS